A novel lithography technique for formation of large areas of uniform nanostructures

Size: px
Start display at page:

Download "A novel lithography technique for formation of large areas of uniform nanostructures"

Transcription

1 A novel lihography echnique for formaion of large areas of uniform nanosrucures Wei Wu, Dibyendu Dey, Omer G. Memis, Alex Kasnelson, Hooman Mohseni a a Dep. of EECS, Norhwesern Univ., 2145 Sheridan Rd, Evanson, IL 60208, USA ABSTRACT Wih nanoechnology becoming widely used, many applicaions such as plasmonics, sensors, sorage devices, solar cells, nano-filraion and arificial kidneys require he srucures wih large areas of uniform periodic nanopaerns. Mos of he curren nano-manufacuring echniques, including phoolihography, elecron-beam lihography, and focal ion beam milling, are eiher slow or expensive o be applied ino he areas. Here, we demonsrae an alernaive and novel lihography echnique Nanosphere Phoolihography (NSP) ha generaes a large area of highly uniform periodic nanoholes or nanoposs by uilizing he monolayer of hexagonally close packed (HCP) silica microspheres as superlenses on op of phooresis. The size of he nanopaerns generaed is almos independen of he sphere sizes and hence exremely uniform paerns can be obained. We demonsrae ha he mehod can produce hexagonally packed arrays of hole of sub-250 nm size in posiive phooresis using a convenional exposure sysem wih a broadband UV source cenered a 400 nm. We also show a large area of highly uniform gold nanoholes (~180 nm) and nanoposs (~300nm) array wih he period of 1 µm fabricaed by he combinaion of lif-off and NSP. The process is no limied o gold. Similar srucures have been shown wih aluminum and silicon dioxide layer. The period and size of he srucures can also be uned by changing proper parameers. The echnique applying self-assembled and focusing properies of micro- /nano-spheres ino phoolihography esablishes a new paradigm for mask-less phoolihography echnique, allowing rapid and economical creaion of large areas of periodic nanosrucures wih a high hroughpu. Keywords: micro-spheres, super-lenses, phooresis, lif-off, and nanosrucures 1. Inroducion As nanoechnology being developed widely, here is an increasing demand for rapid and massively parallel fabricaion sraegies for large areas of uniform periodic subwavelengh srucures. Arrays of he nanosrucures have been poenially found o have many imporan applicaions such as surface plasmonics [1], daa sorage [2], opoelecronic devices [3], and nano-filraion [4]. To fabricae he nanosrucures, sandard lihography echniques, such as x-ray lihography [5], elecron-beam lihography [6], and focal ion beam milling [7] mehods, have high enough resoluions o be applied. However, x-ray lihography is oo expensive because of he expensive insrumens used and he e-beam lihography and focal ion beam milling mehods are oo slow because of heir inheren serial naure. Low-cos and high hroughpu mehods such as self-assembly are anoher class of fabricaion echniques. Generally, he self-assembly mehods can be defined as he sponaneous formaion processes which lead o complex hierarchical srucures from predesigned building blocks. The self-assembly mehods, such as Copolymer lihography [8] and Nanosphere lihography (NSL) [9], have a lo of advanages for cerain applicaions, bu hey are no as fully developed as he sandard lihography mehods. The developmen of alernaive parallel lihography mehods is sill necessary for differen applicaions. Here we will presen an alernaive mehod, Micro-/nano-sphere Phoolihography (NSP), for fabricaion of large areas of uniform periodic nanopaerns using a monolayer of silica micro-spheres o focus UV ligh. Recen heoreical and experimenal daa show ha spheres wih cerain refracive index can produce phoonic-jes, over a wide a hmohseni@ece.norhwesern.edu; Fax: (847) ; Phone: (847) ; bisol.norhwesern.edu Nanoengineering: Fabricaion, Properies, Opics, and Devices V, edied by Elizabeh A. Dobisz, Louay A. Eldada, Proc. of SPIE Vol. 7039, 70390P, (2008) X/08/$18 doi: / Proc. of SPIE Vol P-1

2 wavelengh range, o generae a beam wais much smaller han he wavelengh of ligh [10][11][12]. Using his effec, we inroduced a new subwavelengh nano-paerning process ha is based on he convenional UV ligh sources widely used in phoolihography indusry, such as g-line (405 nm), i-line (365 nm), or oher deep-uv ligh. Since he FWHM of he focused ligh is a very weak funcion of he diameers of he micro-spheres, a very uniform array of nanopaerns can be generaed by his mehod. Compared wih oher nanolihography echniques, NSP is a maskless echnique. The microspheres can be assembled as monolayer on op of phooresis by many mehods, such as drop-coaing [13], spincoaing [14] and convecive assembly [15]. NSP has he advanages of being fas, high hroughpu and low-cos. I uilizes boh he self-assembled propery of micro-spheres and parallel advanage of phoolihography. I can also be widely applied ino many areas, since i generaes nanopaerns in phooresis, which have been widely sudied and used. I is also a unable process. The sizes of he nanopaerns generaed can be changed by differen exposure dose and developmen of phooresis, while he period of he array can be uned by he diameers of micro-spheres. The combinaion of NSP echnique wih oher sandard processes such as lif-off and eching grealy broadens NSP ino he fabricaion of nanopillars and nanoholes in oher maerials. Applying he lif-off wih he nanoholes in posiive phooresis or nanopillars of negaive phooresis, we produced a large area of periodic uniform nanoposs of gold or nanoholes perforaed in gold film. Differen meals, dielecrics or muli-sacks wih he nanoholes perforaed can also be generaed. Using a broadband wavelengh ligh source cenered around 400 nm we have produced he nanoholes of he diameer of abou 250 nm in posiive phooresis and he nanopillars of he diameer of abou 200 nm wih negaive phooresis. The nanopillars generaed have a high aspec raio and under-cu shape for lif-off. As small as 180 nm nanohole arrays perforaed in ianium/gold films were produced. The nanohole arrays perforaed in aluminum and silicon dioxide films were also shown. 2. Simulaions The UV ligh propagaion hrough he silica micro-sphere has been sudied and simulaed by 3D-FDTD modeling mehods. The basic model for he simulaions is he silica micro-sphere sanding on op of he phooresis wih he subsrae below, as shown in figure 1(a). The variables in he simulaions are he diameers of he micro-spheres, he indices of he spheres (differen maerials), and differen inpu wavelenghs of UV ligh. During he simulaions, we changed one variable while keeping oher variables consan. Figure 1(b) shows one example of he focus process by he silica micro-sphere. We are using he plane wave from he ligh source. Wih he diameer of micro-sphere of abou 1 µm and he UV ligh s wavelengh of 365 nm, he FWHM value of he focused ligh is abou 150 nm and he inensiy is abou 30 imes sronger han he inpu one. Proc. of SPIE Vol P-2

3 Figure 1 (a) he basic simulaion model, (b) one example of he focus process by 1 µm silica micro-sphere Changing he diameers of he spheres from abou 0.5 µm o abou 5 µm, we found ha he FWHM values of he focused ligh were almos unchanged. Figure 2 is he normalized inensiy of he focused ligh versus he posiion in he plane of he ligh s propagaion wih differen diameers of micro-spheres. The variaion of he FWHM values of he focused ligh versus he spheres diameer is less han 1% considering a linear relaionship. The FWHM value can be approximaely used as he sizes of nano-feaures generaed in phooresis since i is he hreshold value beween he exposed and unexposed area. In hence, he nanopaerns array generaed would be very uniform. Wavekngli 4OO'un 0-3 -&1 91 Pa.Hlon JiTII Figure 2 The normalized inensiy of he focused ligh versus he posiion wih differen diameers of micro-spheres Proc. of SPIE Vol P-3

4 By changing differen wavelenghs of he UV ligh while keeping he diameer of he microspheres as 1 µm, we found ha he FWHM of he focused ligh would ge smaller as he wavelenghs ge smaller. In figure 3, i shows he normalized inensiy disribuion of he focused ligh wih differen wavelenghs. The FWHM values of he ligh change from abou 203 nm o 121 nm when he wavelenghs are from 500 nm o 300 nm. So, NSP is a scalable process. Wih a shorer wavelengh, smaller nano-feaures can be generaed. I PosIion (pm) Figure 3 The normalized inensiy of he focused ligh versus he posiion wih differen wavelenghs of UV ligh 3. Experimen The basic process flow is shown in shown in figure 4. Phooresis was spun on he subsrae. Eiher posiive or negaive phooresis can be applied. A monolayer of micro-spheres was formed on op of he phooresis. Silica microspheres were bough from Bangs Lab. The sample wih he monolayer of micro-spheres on he phooresis was exposed wih a convenional Quinel exposure insrumen wih broadband wavelengh cenered abou 400 nm. The micro-spheres were removed by ulrasonicaion mehod in D.I. waer afer exposure. An array of periodic uniform nanoholes was formed afer he developmen of posiive phooresis. The nanoposs made of Ti/Au layer were formed by elecron-beam evaporaion of Ti/Au and lif-off. Similar processes were done wih aluminum layer. For negaive phooresis, an array of periodic uniform nanopillars was formed. The nanoholes perforaed in Ti/Au films were formed by lif-off. The whole process of NSP was quie similar as he sandard phoolihography echniques. Bu since i is a maskless process, i avoids using he expensive masks in he phoolihography mehod. I also uses a longer wavelengh o fabricae he nanopaerns wih he same resoluions compared wih he sandard phoolihography. Proc. of SPIE Vol P-4

5 (e) oqj awl lqs aiansqns 1 earns An a amso aiaiold 151$ r (a) (a) a)iulsqns &IkflSl5 ll f) s)socl-ouu (i) selmimluw lu p1o sills aq a) Figure 4 The schemaic process of NSP for fabricaion of nanoposs in Ti/Au layers and nanoholes perforaed in he films, from (b) o (c), i swiches o wo differen processes wih wo differen kinds of phooresis used () 4. Resuls Figure 5(a) is a Scanning Elecron Microscope (SEM) image showing ha a HCP monolayer of silica microspheres was formed on op of he phooresis. Figure 5(b) is he enlarged view of he micro-spheres on op of he phooresis. These micro-spheres are close packed. :... :... H,, - Figure 5 (a) SEM image of HCP monolayer of silica micro-spheres, (b) Enlarged cross-secion view of micro-spheres on op of he phooresis Using he UV ligh wih λ cenered abou 400 nm o expose he posiive phooresis wih silica micro-spheres, we produced a periodic uniform nanohole array wih he diameer of abou 250 nm shown in figure 6(a). The period of he array is abou 1 µm, which is he same as he diameer of he microspheres used. Figure 6(b) is he cross secion view of he nanohole. I shows abou 1:2 aspec raio and almos verical sidewall. I can be furher used for lif-off and eching process. As you can see, a he boom of he nanohole he diameer is even smaller and i can be poenially used for generaing smaller feaures by eching-ransfer he nanopaerns. To show he unable abiliy of NSP, we also used Proc. of SPIE Vol P-5

6 differen diameers of silica micro-spheres o produce he nanohole arrays. As expeced, we have generaed he nanoholes of almos he same sizes bu wih differen periods. Figure 7(a) and (b) show he nanohole arrays wih he periods of abou 2 and 4 µm and he nanohole sizes are around 300 nm. Using he negaive phooresis in NSP, we produced a periodic uniform array of nanopillars. The nanopillars can also be uned wih differen sizes and sidewalls in he cross secion. Figure 8(a) and (b) show an array of periodic uniform nanopillars of phooresis wih differen sizes and cross secion shapes. Wih conrolled parameers, he size of he nanopillars in figure 8(a) is abou 250 nm and he sidewall is almos verical; he nanopillars in figure 8 (b) have he size of abou 200 nm and i shows a very srong undercu shape. As you can see, he nanopillar fallen down shows a clear undercu cross-secion shape of he pillar. (b) * 500 urn Figure 6 (a) A uniform nanohole array in phooresis wih he period of abou 1 um, (b) he cross secion view of a single nanohole V Figure 7 (a) A uniform nanohole array in phooresis wih he period of abou 2 um, (b) a uniform nanohole array in phooresis wih he period of abou 4 um Proc. of SPIE Vol P-6

7 Figure 8 A uniform nanopillar array in negaive phooresis wih he period of abou 1 um (a) he nanohole size of abou 250 nm wih a verical sidewall, (b) he nanohole size of abou 200 nm wih a srong undercu Using he nanoholes and nanopillars produced by NSP, we successfully produced a uniform array of gold nanoposs and nanoholes. Figure 9(a) shows an array of hexagonally disribued nanoposs of Ti/Au and figure 9(b) shows he array of hexagonally disribued nanoholes perforaed in Ti/Au films. The diameer of nanoposs and nanoholes in figure 9(a) and (b) are abou 300 nm and 180 nm separaely, and he periods are boh abou 1 um. All hese parameers can be uned since NSP is a unable process. Similar resuls can also be obained wih he use of aluminum, as shown in figure 10 (a). The diameer of he nanoholes perforaed in he Al film is abou 250 nm. The edge of he nanoholes is a lile rough because aluminum deposied by e-beam evaporaion is no as uniform as oher meals. Besides lif-off process, using Reacive Ion Eching (RIE) and he meal layer wih he nanoholes as mask, we also produced a similar nanohole array in he dielecric of silicon dioxide (SiO 2 ) film in figure 10(b). I is a iled cross secion image. There are clearly wo layers of maerials on op of he subsrae, which are SiO 2 and Al hin films. The size of he nanohole is almos he same as he one in he meal films. - - ;r I, r c a a a e rs 4¼ as r r ee r Figure 9 (a) An array of hexagonally disribued uniform nanoposs of Ti/Au, (b) an array of hexagonally disribued uniform holes perforaed in Ti/Au films Proc. of SPIE Vol P-7

8 Figure 10 (a) An array of hexagonally disribued uniform nanoholes perforaed in aluminum layer, (b) using RIE o ransfer he nanoholes paerns in he SiO 2 film below 5. Conclusions We have demonsraed a maskless phoolihography mehod o generae subwavelengh srucures. The mehod uilizes he self-assembled monolayer of silica micro-spheres as super-lenses o focus UV ligh ino phooresis and generaed highly uniform arrays of nanoholes or nanopillars. We also presened he similar nanosrucures in differen meals and dielecrics using he mehod wih oher sandard processing mehods. The echnique is a conrollable process. We believe ha i can be used for many areas, such as fabricaion of elecronic and opoelecronic devices. Acknowledgemens This work is parially suppored by Naional Science Foundaion gran # ECCS and Defense Advanced Research Projec Agency gran # N References [1] Lezec, H. J., Degiron, A., Devaux, E., Linke, R. A., Marin-Moreno, A., Garcia-Vidal F. J. and Ebbesen T. W., Science, 297, (2002). [2] Weekes, S. M., Ogrin, F. Y. and Murray, W. A., Langmuir, 20, (2004) [3] Brolo, A. G., Arcander, E., Gordon, R., Leahem, B. and Kavanagh, K. L., Nano Le., 4, (2004). [4] Siwy, Z. and Fulinski, A., Am. J. Phys., 72, (2004) [5] Rease, R. F. W., J. Vac. Sci. Technol. B, 10, 278 (1992) [6] Haynes, C. L., Kall, M. e al, J. Phys. Chem. B, 107, 7337 (2003) [7] Tong, H. D., and Elwennspoek. M., e al, Nano Le., 4, 283 (2004) [8] Park, M., Harrison, C., Chaikin, P. M., Regiser, R. A. and Adamson D. H., Science, 276, (1997) [9] Huleen, J. C. and Van Duyne, R. P., J. Vac. Sci. Technol. A, 13, 1553 (1995) [10] Chen, Z., Taflove, A. and Backman V., Op. Express, 12, 1214 (2004) [11] Wu, W., Kanelson, A., Memis, G. and Mohseni, H., Nanoechnology, 18, (2007) [12] Kong, S., Sahakian, A. V., Heifez, A., Taflove, A. and Backman V., APL, 92, (2008) [13] Denkov, N. D., Nagayama, K. e al, Langmuir, 8, 3183 (1992) [14] Fishes, U. C. and Zingsheim, P., J. Vac. Sci. Technol. 19, 881 (1981) [15] Kim, M. H., Im, S. H. and Park, O. O., Adv. Func. Maer., 15, (2005) Proc. of SPIE Vol P-8

A Novel Self-aligned and Maskless Process for Formation of Highly Uniform Arrays of Nanoholes and Nanopillars

A Novel Self-aligned and Maskless Process for Formation of Highly Uniform Arrays of Nanoholes and Nanopillars Nanoscale Res Lett (2008) 3: 127 DOI 10.1007/s11671-008-9124-6 NANO EXPRESS A Novel Self-aligned and Maskless Process for Formation of Highly Uniform Arrays of Nanoholes and Nanopillars Wei Wu Æ Dibyendu

More information

Designing Information Devices and Systems I Spring 2019 Lecture Notes Note 17

Designing Information Devices and Systems I Spring 2019 Lecture Notes Note 17 EES 16A Designing Informaion Devices and Sysems I Spring 019 Lecure Noes Noe 17 17.1 apaciive ouchscreen In he las noe, we saw ha a capacior consiss of wo pieces on conducive maerial separaed by a nonconducive

More information

Nonlinear Refractive Index Measurement Utilizing Bistable Behavior of Double Coupling Optical Fiber Ring Resonator

Nonlinear Refractive Index Measurement Utilizing Bistable Behavior of Double Coupling Optical Fiber Ring Resonator PHOTONIC SENSORS / Vol. 5, No., 5: 79 83 Nonlinear Refracive Index Measuremen Uilizing Bisable Behavior of Double Coupling Opical Fiber Ring Resonaor Lei YANG *, Wei PAN, Bin LUO, and Lianshan YAN Cener

More information

Supplementary Fig. 1: Schematic of the typical phase shift of the resonance. Supplementary Fig. 2: Rule out the scanning effect at the sample edges.

Supplementary Fig. 1: Schematic of the typical phase shift of the resonance. Supplementary Fig. 2: Rule out the scanning effect at the sample edges. Supplemenary Fig. 1: Schemaic of he ypical phase shif of he resonance. The blue solid curve shows he phase signal as a funcion of frequency f a free resonance sae (when f = f 0, = 0). When he sysem is

More information

Mechanical Fatigue and Load-Induced Aging of Loudspeaker Suspension. Wolfgang Klippel,

Mechanical Fatigue and Load-Induced Aging of Loudspeaker Suspension. Wolfgang Klippel, Mechanical Faigue and Load-Induced Aging of Loudspeaker Suspension Wolfgang Klippel, Insiue of Acousics and Speech Communicaion Dresden Universiy of Technology presened a he ALMA Symposium 2012, Las Vegas

More information

Lecture 2-1 Kinematics in One Dimension Displacement, Velocity and Acceleration Everything in the world is moving. Nothing stays still.

Lecture 2-1 Kinematics in One Dimension Displacement, Velocity and Acceleration Everything in the world is moving. Nothing stays still. Lecure - Kinemaics in One Dimension Displacemen, Velociy and Acceleraion Everyhing in he world is moving. Nohing says sill. Moion occurs a all scales of he universe, saring from he moion of elecrons in

More information

Multi-scale 2D acoustic full waveform inversion with high frequency impulsive source

Multi-scale 2D acoustic full waveform inversion with high frequency impulsive source Muli-scale D acousic full waveform inversion wih high frequency impulsive source Vladimir N Zubov*, Universiy of Calgary, Calgary AB vzubov@ucalgaryca and Michael P Lamoureux, Universiy of Calgary, Calgary

More information

Vehicle Arrival Models : Headway

Vehicle Arrival Models : Headway Chaper 12 Vehicle Arrival Models : Headway 12.1 Inroducion Modelling arrival of vehicle a secion of road is an imporan sep in raffic flow modelling. I has imporan applicaion in raffic flow simulaion where

More information

Econ107 Applied Econometrics Topic 7: Multicollinearity (Studenmund, Chapter 8)

Econ107 Applied Econometrics Topic 7: Multicollinearity (Studenmund, Chapter 8) I. Definiions and Problems A. Perfec Mulicollineariy Econ7 Applied Economerics Topic 7: Mulicollineariy (Sudenmund, Chaper 8) Definiion: Perfec mulicollineariy exiss in a following K-variable regression

More information

STATE-SPACE MODELLING. A mass balance across the tank gives:

STATE-SPACE MODELLING. A mass balance across the tank gives: B. Lennox and N.F. Thornhill, 9, Sae Space Modelling, IChemE Process Managemen and Conrol Subjec Group Newsleer STE-SPACE MODELLING Inroducion: Over he pas decade or so here has been an ever increasing

More information

Bias in Conditional and Unconditional Fixed Effects Logit Estimation: a Correction * Tom Coupé

Bias in Conditional and Unconditional Fixed Effects Logit Estimation: a Correction * Tom Coupé Bias in Condiional and Uncondiional Fixed Effecs Logi Esimaion: a Correcion * Tom Coupé Economics Educaion and Research Consorium, Naional Universiy of Kyiv Mohyla Academy Address: Vul Voloska 10, 04070

More information

A FAMILY OF THREE-LEVEL DC-DC CONVERTERS

A FAMILY OF THREE-LEVEL DC-DC CONVERTERS A FAMIY OF THREE-EVE DC-DC CONVERTERS Anonio José Beno Boion, Ivo Barbi Federal Universiy of Sana Caarina - UFSC, Power Elecronics Insiue - INEP PO box 5119, ZIP code 88040-970, Florianópolis, SC, BRAZI

More information

Hall effect. Formulae :- 1) Hall coefficient RH = cm / Coulumb. 2) Magnetic induction BY 2

Hall effect. Formulae :- 1) Hall coefficient RH = cm / Coulumb. 2) Magnetic induction BY 2 Page of 6 all effec Aim :- ) To deermine he all coefficien (R ) ) To measure he unknown magneic field (B ) and o compare i wih ha measured by he Gaussmeer (B ). Apparaus :- ) Gauss meer wih probe ) Elecromagne

More information

Lab 10: RC, RL, and RLC Circuits

Lab 10: RC, RL, and RLC Circuits Lab 10: RC, RL, and RLC Circuis In his experimen, we will invesigae he behavior of circuis conaining combinaions of resisors, capaciors, and inducors. We will sudy he way volages and currens change in

More information

dv 7. Voltage-current relationship can be obtained by integrating both sides of i = C :

dv 7. Voltage-current relationship can be obtained by integrating both sides of i = C : EECE202 NETWORK ANALYSIS I Dr. Charles J. Kim Class Noe 22: Capaciors, Inducors, and Op Amp Circuis A. Capaciors. A capacior is a passive elemen designed o sored energy in is elecric field. 2. A capacior

More information

Physics 235 Chapter 2. Chapter 2 Newtonian Mechanics Single Particle

Physics 235 Chapter 2. Chapter 2 Newtonian Mechanics Single Particle Chaper 2 Newonian Mechanics Single Paricle In his Chaper we will review wha Newon s laws of mechanics ell us abou he moion of a single paricle. Newon s laws are only valid in suiable reference frames,

More information

The problem with linear regulators

The problem with linear regulators he problem wih linear regulaors i in P in = i in V REF R a i ref i q i C v CE P o = i o i B ie P = v i o o in R 1 R 2 i o i f η = P o P in iref is small ( 0). iq (quiescen curren) is small (probably).

More information

Physics for Scientists & Engineers 2

Physics for Scientists & Engineers 2 Direc Curren Physics for Scieniss & Engineers 2 Spring Semeser 2005 Lecure 16 This week we will sudy charges in moion Elecric charge moving from one region o anoher is called elecric curren Curren is all

More information

4. Electric field lines with respect to equipotential surfaces are

4. Electric field lines with respect to equipotential surfaces are Pre-es Quasi-saic elecromagneism. The field produced by primary charge Q and by an uncharged conducing plane disanced from Q by disance d is equal o he field produced wihou conducing plane by wo following

More information

Haar Wavelet Operational Matrix Method for Solving Fractional Partial Differential Equations

Haar Wavelet Operational Matrix Method for Solving Fractional Partial Differential Equations Copyrigh 22 Tech Science Press CMES, vol.88, no.3, pp.229-243, 22 Haar Wavele Operaional Mari Mehod for Solving Fracional Parial Differenial Equaions Mingu Yi and Yiming Chen Absrac: In his paper, Haar

More information

Semiconductor Devices. C. Hu: Modern Semiconductor Devices for Integrated Circuits Chapter 6

Semiconductor Devices. C. Hu: Modern Semiconductor Devices for Integrated Circuits Chapter 6 Semiconducor Devices C. Hu: Modern Semiconducor Devices for Inegraed Circuis Chaper 6 For hose of you who are sudying a bachelor level and need he old course S-69.2111 Mikro- ja nanoelekroniikan perusee

More information

A DELAY-DEPENDENT STABILITY CRITERIA FOR T-S FUZZY SYSTEM WITH TIME-DELAYS

A DELAY-DEPENDENT STABILITY CRITERIA FOR T-S FUZZY SYSTEM WITH TIME-DELAYS A DELAY-DEPENDENT STABILITY CRITERIA FOR T-S FUZZY SYSTEM WITH TIME-DELAYS Xinping Guan ;1 Fenglei Li Cailian Chen Insiue of Elecrical Engineering, Yanshan Universiy, Qinhuangdao, 066004, China. Deparmen

More information

Solutions to Odd Number Exercises in Chapter 6

Solutions to Odd Number Exercises in Chapter 6 1 Soluions o Odd Number Exercises in 6.1 R y eˆ 1.7151 y 6.3 From eˆ ( T K) ˆ R 1 1 SST SST SST (1 R ) 55.36(1.7911) we have, ˆ 6.414 T K ( ) 6.5 y ye ye y e 1 1 Consider he erms e and xe b b x e y e b

More information

On Measuring Pro-Poor Growth. 1. On Various Ways of Measuring Pro-Poor Growth: A Short Review of the Literature

On Measuring Pro-Poor Growth. 1. On Various Ways of Measuring Pro-Poor Growth: A Short Review of the Literature On Measuring Pro-Poor Growh 1. On Various Ways of Measuring Pro-Poor Growh: A Shor eview of he Lieraure During he pas en years or so here have been various suggesions concerning he way one should check

More information

2017 3rd International Conference on E-commerce and Contemporary Economic Development (ECED 2017) ISBN:

2017 3rd International Conference on E-commerce and Contemporary Economic Development (ECED 2017) ISBN: 7 3rd Inernaional Conference on E-commerce and Conemporary Economic Developmen (ECED 7) ISBN: 978--6595-446- Fuures Arbirage of Differen Varieies and based on he Coinegraion Which is under he Framework

More information

The Simulation of Electret Effect in Zn 0.7 Cd 0.3 S Layers

The Simulation of Electret Effect in Zn 0.7 Cd 0.3 S Layers Nonlinear Analysis: Modelling and Conrol, 2005, Vol. 10, No. 1, 77 82 The Simulaion of Elecre Effec in Zn 0.7 Cd 0.3 S Layers F. Kuliešius 1, S. Tamoši ūnas 2, A. Žindulis 1 1 Faculy of Physics, Vilnius

More information

ON THE BEAT PHENOMENON IN COUPLED SYSTEMS

ON THE BEAT PHENOMENON IN COUPLED SYSTEMS 8 h ASCE Specialy Conference on Probabilisic Mechanics and Srucural Reliabiliy PMC-38 ON THE BEAT PHENOMENON IN COUPLED SYSTEMS S. K. Yalla, Suden Member ASCE and A. Kareem, M. ASCE NaHaz Modeling Laboraory,

More information

RC, RL and RLC circuits

RC, RL and RLC circuits Name Dae Time o Complee h m Parner Course/ Secion / Grade RC, RL and RLC circuis Inroducion In his experimen we will invesigae he behavior of circuis conaining combinaions of resisors, capaciors, and inducors.

More information

Sub Module 2.6. Measurement of transient temperature

Sub Module 2.6. Measurement of transient temperature Mechanical Measuremens Prof. S.P.Venkaeshan Sub Module 2.6 Measuremen of ransien emperaure Many processes of engineering relevance involve variaions wih respec o ime. The sysem properies like emperaure,

More information

Reading from Young & Freedman: For this topic, read sections 25.4 & 25.5, the introduction to chapter 26 and sections 26.1 to 26.2 & 26.4.

Reading from Young & Freedman: For this topic, read sections 25.4 & 25.5, the introduction to chapter 26 and sections 26.1 to 26.2 & 26.4. PHY1 Elecriciy Topic 7 (Lecures 1 & 11) Elecric Circuis n his opic, we will cover: 1) Elecromoive Force (EMF) ) Series and parallel resisor combinaions 3) Kirchhoff s rules for circuis 4) Time dependence

More information

Lecture Outline. Introduction Transmission Line Equations Transmission Line Wave Equations 8/10/2018. EE 4347 Applied Electromagnetics.

Lecture Outline. Introduction Transmission Line Equations Transmission Line Wave Equations 8/10/2018. EE 4347 Applied Electromagnetics. 8/10/018 Course Insrucor Dr. Raymond C. Rumpf Office: A 337 Phone: (915) 747 6958 E Mail: rcrumpf@uep.edu EE 4347 Applied Elecromagneics Topic 4a Transmission Line Equaions Transmission These Line noes

More information

Curling Stress Equation for Transverse Joint Edge of a Concrete Pavement Slab Based on Finite-Element Method Analysis

Curling Stress Equation for Transverse Joint Edge of a Concrete Pavement Slab Based on Finite-Element Method Analysis TRANSPORTATION RESEARCH RECORD 155 35 Curling Sress Equaion for Transverse Join Edge of a Concree Pavemen Slab Based on Finie-Elemen Mehod Analysis TATSUO NISHIZAWA, TADASHI FUKUDA, SABURO MATSUNO, AND

More information

Robust estimation based on the first- and third-moment restrictions of the power transformation model

Robust estimation based on the first- and third-moment restrictions of the power transformation model h Inernaional Congress on Modelling and Simulaion, Adelaide, Ausralia, 6 December 3 www.mssanz.org.au/modsim3 Robus esimaion based on he firs- and hird-momen resricions of he power ransformaion Nawaa,

More information

23.5. Half-Range Series. Introduction. Prerequisites. Learning Outcomes

23.5. Half-Range Series. Introduction. Prerequisites. Learning Outcomes Half-Range Series 2.5 Inroducion In his Secion we address he following problem: Can we find a Fourier series expansion of a funcion defined over a finie inerval? Of course we recognise ha such a funcion

More information

Q.1 Define work and its unit?

Q.1 Define work and its unit? CHP # 6 ORK AND ENERGY Q.1 Define work and is uni? A. ORK I can be define as when we applied a force on a body and he body covers a disance in he direcion of force, hen we say ha work is done. I is a scalar

More information

Electrical and current self-induction

Electrical and current self-induction Elecrical and curren self-inducion F. F. Mende hp://fmnauka.narod.ru/works.hml mende_fedor@mail.ru Absrac The aricle considers he self-inducance of reacive elemens. Elecrical self-inducion To he laws of

More information

Biol. 356 Lab 8. Mortality, Recruitment, and Migration Rates

Biol. 356 Lab 8. Mortality, Recruitment, and Migration Rates Biol. 356 Lab 8. Moraliy, Recruimen, and Migraion Raes (modified from Cox, 00, General Ecology Lab Manual, McGraw Hill) Las week we esimaed populaion size hrough several mehods. One assumpion of all hese

More information

t is a basis for the solution space to this system, then the matrix having these solutions as columns, t x 1 t, x 2 t,... x n t x 2 t...

t is a basis for the solution space to this system, then the matrix having these solutions as columns, t x 1 t, x 2 t,... x n t x 2 t... Mah 228- Fri Mar 24 5.6 Marix exponenials and linear sysems: The analogy beween firs order sysems of linear differenial equaions (Chaper 5) and scalar linear differenial equaions (Chaper ) is much sronger

More information

V AK (t) I T (t) I TRM. V AK( full area) (t) t t 1 Axial turn-on. Switching losses for Phase Control and Bi- Directionally Controlled Thyristors

V AK (t) I T (t) I TRM. V AK( full area) (t) t t 1 Axial turn-on. Switching losses for Phase Control and Bi- Directionally Controlled Thyristors Applicaion Noe Swiching losses for Phase Conrol and Bi- Direcionally Conrolled Thyrisors V AK () I T () Causing W on I TRM V AK( full area) () 1 Axial urn-on Plasma spread 2 Swiching losses for Phase Conrol

More information

Chapter 6 MOSFET in the On-state

Chapter 6 MOSFET in the On-state Chaper 6 MOSFET in he On-sae The MOSFET (MOS Field-Effec Transisor) is he building block of Gb memory chips, GHz microprocessors, analog, and RF circuis. Mach he following MOSFET characerisics wih heir

More information

Dual Current-Mode Control for Single-Switch Two-Output Switching Power Converters

Dual Current-Mode Control for Single-Switch Two-Output Switching Power Converters Dual Curren-Mode Conrol for Single-Swich Two-Oupu Swiching Power Converers S. C. Wong, C. K. Tse and K. C. Tang Deparmen of Elecronic and Informaion Engineering Hong Kong Polyechnic Universiy, Hunghom,

More information

Chapter Q1. We need to understand Classical wave first. 3/28/2004 H133 Spring

Chapter Q1. We need to understand Classical wave first. 3/28/2004 H133 Spring Chaper Q1 Inroducion o Quanum Mechanics End of 19 h Cenury only a few loose ends o wrap up. Led o Relaiviy which you learned abou las quarer Led o Quanum Mechanics (1920 s-30 s and beyond) Behavior of

More information

Advanced Organic Chemistry

Advanced Organic Chemistry Lalic, G. Chem 53A Chemisry 53A Advanced Organic Chemisry Lecure noes 1 Kineics: A racical Approach Simple Kineics Scenarios Fiing Experimenal Daa Using Kineics o Deermine he Mechanism Doughery, D. A.,

More information

Chapter 15 Lasers, Laser Spectroscopy, and Photochemistry

Chapter 15 Lasers, Laser Spectroscopy, and Photochemistry Chaper 15 Lasers, Laser Specroscopy, and Phoochemisry ackground: In his chaper we will alk abou ligh amplificaion by simulaed emission of radiaion (LASER), heir impac on specroscopy and ligh-iniiaed reacions

More information

Introduction to AC Power, RMS RMS. ECE 2210 AC Power p1. Use RMS in power calculations. AC Power P =? DC Power P =. V I = R =. I 2 R. V p.

Introduction to AC Power, RMS RMS. ECE 2210 AC Power p1. Use RMS in power calculations. AC Power P =? DC Power P =. V I = R =. I 2 R. V p. ECE MS I DC Power P I = Inroducion o AC Power, MS I AC Power P =? A Solp //9, // // correced p4 '4 v( ) = p cos( ω ) v( ) p( ) Couldn' we define an "effecive" volage ha would allow us o use he same relaionships

More information

Mobile Ion Effects on SiC MOS Bias- Temperature Instability Measurements

Mobile Ion Effects on SiC MOS Bias- Temperature Instability Measurements 14-15 Aug 2014 1 U.S. Army Research, Developmen and Engineering Command Mobile Ion Effecs on SiC MOS Bias- Temperaure Insabiliy Measuremens Daniel B. Habersa Neil Goldsman (UMD), and Aivars Lelis 14-15

More information

Modal identification of structures from roving input data by means of maximum likelihood estimation of the state space model

Modal identification of structures from roving input data by means of maximum likelihood estimation of the state space model Modal idenificaion of srucures from roving inpu daa by means of maximum likelihood esimaion of he sae space model J. Cara, J. Juan, E. Alarcón Absrac The usual way o perform a forced vibraion es is o fix

More information

5 The fitting methods used in the normalization of DSD

5 The fitting methods used in the normalization of DSD The fiing mehods used in he normalizaion of DSD.1 Inroducion Sempere-Torres e al. 1994 presened a general formulaion for he DSD ha was able o reproduce and inerpre all previous sudies of DSD. The mehodology

More information

Ensamble methods: Bagging and Boosting

Ensamble methods: Bagging and Boosting Lecure 21 Ensamble mehods: Bagging and Boosing Milos Hauskrech milos@cs.pi.edu 5329 Senno Square Ensemble mehods Mixure of expers Muliple base models (classifiers, regressors), each covers a differen par

More information

Chapter 3 (Lectures 12, 13 and 14) Longitudinal stick free static stability and control

Chapter 3 (Lectures 12, 13 and 14) Longitudinal stick free static stability and control Fligh dynamics II Sabiliy and conrol haper 3 (Lecures 1, 13 and 14) Longiudinal sick free saic sabiliy and conrol Keywords : inge momen and is variaion wih ail angle, elevaor deflecion and ab deflecion

More information

Mean-square Stability Control for Networked Systems with Stochastic Time Delay

Mean-square Stability Control for Networked Systems with Stochastic Time Delay JOURNAL OF SIMULAION VOL. 5 NO. May 7 Mean-square Sabiliy Conrol for Newored Sysems wih Sochasic ime Delay YAO Hejun YUAN Fushun School of Mahemaics and Saisics Anyang Normal Universiy Anyang Henan. 455

More information

Innova Junior College H2 Mathematics JC2 Preliminary Examinations Paper 2 Solutions 0 (*)

Innova Junior College H2 Mathematics JC2 Preliminary Examinations Paper 2 Solutions 0 (*) Soluion 3 x 4x3 x 3 x 0 4x3 x 4x3 x 4x3 x 4x3 x x 3x 3 4x3 x Innova Junior College H Mahemaics JC Preliminary Examinaions Paper Soluions 3x 3 4x 3x 0 4x 3 4x 3 0 (*) 0 0 + + + - 3 3 4 3 3 3 3 Hence x or

More information

Types of Exponential Smoothing Methods. Simple Exponential Smoothing. Simple Exponential Smoothing

Types of Exponential Smoothing Methods. Simple Exponential Smoothing. Simple Exponential Smoothing M Business Forecasing Mehods Exponenial moohing Mehods ecurer : Dr Iris Yeung Room No : P79 Tel No : 788 8 Types of Exponenial moohing Mehods imple Exponenial moohing Double Exponenial moohing Brown s

More information

Lecture -14: Chopper fed DC Drives

Lecture -14: Chopper fed DC Drives Lecure -14: Chopper fed DC Drives Chopper fed DC drives o A chopper is a saic device ha convers fixed DC inpu volage o a variable dc oupu volage direcly o A chopper is a high speed on/off semiconducor

More information

UNC resolution Uncertainty Learning Objectives: measurement interval ( You will turn in two worksheets and

UNC resolution Uncertainty Learning Objectives: measurement interval ( You will turn in two worksheets and UNC Uncerainy revised Augus 30, 017 Learning Objecives: During his lab, you will learn how o 1. esimae he uncerainy in a direcly measured quaniy.. esimae he uncerainy in a quaniy ha is calculaed from quaniies

More information

Diebold, Chapter 7. Francis X. Diebold, Elements of Forecasting, 4th Edition (Mason, Ohio: Cengage Learning, 2006). Chapter 7. Characterizing Cycles

Diebold, Chapter 7. Francis X. Diebold, Elements of Forecasting, 4th Edition (Mason, Ohio: Cengage Learning, 2006). Chapter 7. Characterizing Cycles Diebold, Chaper 7 Francis X. Diebold, Elemens of Forecasing, 4h Ediion (Mason, Ohio: Cengage Learning, 006). Chaper 7. Characerizing Cycles Afer compleing his reading you should be able o: Define covariance

More information

Chapter 7 Response of First-order RL and RC Circuits

Chapter 7 Response of First-order RL and RC Circuits Chaper 7 Response of Firs-order RL and RC Circuis 7.- The Naural Response of RL and RC Circuis 7.3 The Sep Response of RL and RC Circuis 7.4 A General Soluion for Sep and Naural Responses 7.5 Sequenial

More information

Scientific Herald of the Voronezh State University of Architecture and Civil Engineering. Construction and Architecture

Scientific Herald of the Voronezh State University of Architecture and Civil Engineering. Construction and Architecture Scienific Herald of he Voronezh Sae Universiy of Archiecure and Civil Engineering. Consrucion and Archiecure UDC 625.863.6:551.328 Voronezh Sae Universiy of Archiecure and Civil Engineering Ph. D. applican

More information

Comparing Means: t-tests for One Sample & Two Related Samples

Comparing Means: t-tests for One Sample & Two Related Samples Comparing Means: -Tess for One Sample & Two Relaed Samples Using he z-tes: Assumpions -Tess for One Sample & Two Relaed Samples The z-es (of a sample mean agains a populaion mean) is based on he assumpion

More information

Reliability of Technical Systems

Reliability of Technical Systems eliabiliy of Technical Sysems Main Topics Inroducion, Key erms, framing he problem eliabiliy parameers: Failure ae, Failure Probabiliy, Availabiliy, ec. Some imporan reliabiliy disribuions Componen reliabiliy

More information

Multi-Frequency Sheath Dynamics

Multi-Frequency Sheath Dynamics Muli-Frequency Sheah Dynamics Seven Shannon, Alex Paerson, Theodoros Panagopoulos, Daniel Hoffman, John Holland, Dennis Grimard (Universiy of Michigan) Purpose of research RF plasmas wih muliple frequency

More information

The Maxwell Equations, the Lorentz Field and the Electromagnetic Nanofield with Regard to the Question of Relativity

The Maxwell Equations, the Lorentz Field and the Electromagnetic Nanofield with Regard to the Question of Relativity The Maxwell Equaions, he Lorenz Field and he Elecromagneic Nanofield wih Regard o he Quesion of Relaiviy Daniele Sasso * Absrac We discuss he Elecromagneic Theory in some main respecs and specifically

More information

Traveling Waves. Chapter Introduction

Traveling Waves. Chapter Introduction Chaper 4 Traveling Waves 4.1 Inroducion To dae, we have considered oscillaions, i.e., periodic, ofen harmonic, variaions of a physical characerisic of a sysem. The sysem a one ime is indisinguishable from

More information

Stable block Toeplitz matrix for the processing of multichannel seismic data

Stable block Toeplitz matrix for the processing of multichannel seismic data Indian Journal of Marine Sciences Vol. 33(3), Sepember 2004, pp. 215-219 Sable block Toepliz marix for he processing of mulichannel seismic daa Kiri Srivasava* & V P Dimri Naional Geophysical Research

More information

9. Alternating currents

9. Alternating currents WS 9. Alernaing currens 9.1 nroducion Besides ohmic resisors, capaciors and inducions play an imporan role in alernaing curren (AC circuis as well. n his experimen, one shall invesigae heir behaviour in

More information

1. Introduction PART I: FIBER OPTICS 2. Ray Propagation in Optical Fibers 3. Wave Propagation in Planar Waveguides

1. Introduction PART I: FIBER OPTICS 2. Ray Propagation in Optical Fibers 3. Wave Propagation in Planar Waveguides Conens Preface 1. Inroducion 1 1.1 Fiber Opics and Opoelecronics 1 1. Hisorical Developmens 1 1.3 A Fiber-opic Communicaion Sysem 3 1.4 Advanages of Fiber-opic Sysems 6 1.5 Emergence of Fiber Opics as

More information

Particle Swarm Optimization

Particle Swarm Optimization Paricle Swarm Opimizaion Speaker: Jeng-Shyang Pan Deparmen of Elecronic Engineering, Kaohsiung Universiy of Applied Science, Taiwan Email: jspan@cc.kuas.edu.w 7/26/2004 ppso 1 Wha is he Paricle Swarm Opimizaion

More information

CHAPTER 10 VALIDATION OF TEST WITH ARTIFICAL NEURAL NETWORK

CHAPTER 10 VALIDATION OF TEST WITH ARTIFICAL NEURAL NETWORK 175 CHAPTER 10 VALIDATION OF TEST WITH ARTIFICAL NEURAL NETWORK 10.1 INTRODUCTION Amongs he research work performed, he bes resuls of experimenal work are validaed wih Arificial Neural Nework. From he

More information

Ensamble methods: Boosting

Ensamble methods: Boosting Lecure 21 Ensamble mehods: Boosing Milos Hauskrech milos@cs.pi.edu 5329 Senno Square Schedule Final exam: April 18: 1:00-2:15pm, in-class Term projecs April 23 & April 25: a 1:00-2:30pm in CS seminar room

More information

Chapter 4 AC Network Analysis

Chapter 4 AC Network Analysis haper 4 A Nework Analysis Jaesung Jang apaciance Inducance and Inducion Time-Varying Signals Sinusoidal Signals Reference: David K. heng, Field and Wave Elecromagneics. Energy Sorage ircui Elemens Energy

More information

Exponential Weighted Moving Average (EWMA) Chart Under The Assumption of Moderateness And Its 3 Control Limits

Exponential Weighted Moving Average (EWMA) Chart Under The Assumption of Moderateness And Its 3 Control Limits DOI: 0.545/mjis.07.5009 Exponenial Weighed Moving Average (EWMA) Char Under The Assumpion of Moderaeness And Is 3 Conrol Limis KALPESH S TAILOR Assisan Professor, Deparmen of Saisics, M. K. Bhavnagar Universiy,

More information

COS 2AB Physics Year 11 Programme 2012

COS 2AB Physics Year 11 Programme 2012 COS AB Physics Year 11 Programme 01 Semeser Week 1 & 30 Jan 6 Feb Monday is School Dev Day Week 3 13 Feb Week 4 0 Feb a & b Disribue Programme, Assessmen srucure, Syllabus, Course ouline Heaing and cooling

More information

EE 435. Lecture 31. Absolute and Relative Accuracy DAC Design. The String DAC

EE 435. Lecture 31. Absolute and Relative Accuracy DAC Design. The String DAC EE 435 Lecure 3 Absolue and Relaive Accuracy DAC Design The Sring DAC . Review from las lecure. DFT Simulaion from Malab Quanizaion Noise DACs and ADCs generally quanize boh ampliude and ime If convering

More information

A normal-incident quantum well infrared photodetector enhanced by surface plasmon resonance

A normal-incident quantum well infrared photodetector enhanced by surface plasmon resonance Best Student Paper Award A normal-incident quantum well infrared photodetector enhanced by surface plasmon resonance Wei Wu a, Alireza Bonakdar, Ryan Gelfand, and Hooman Mohseni Bio-inspired Sensors and

More information

Basic Circuit Elements Professor J R Lucas November 2001

Basic Circuit Elements Professor J R Lucas November 2001 Basic Circui Elemens - J ucas An elecrical circui is an inerconnecion of circui elemens. These circui elemens can be caegorised ino wo ypes, namely acive and passive elemens. Some Definiions/explanaions

More information

6.01: Introduction to EECS I Lecture 8 March 29, 2011

6.01: Introduction to EECS I Lecture 8 March 29, 2011 6.01: Inroducion o EES I Lecure 8 March 29, 2011 6.01: Inroducion o EES I Op-Amps Las Time: The ircui Absracion ircuis represen sysems as connecions of elemens hrough which currens (hrough variables) flow

More information

Numerical Dispersion

Numerical Dispersion eview of Linear Numerical Sabiliy Numerical Dispersion n he previous lecure, we considered he linear numerical sabiliy of boh advecion and diffusion erms when approimaed wih several spaial and emporal

More information

SPH3U: Projectiles. Recorder: Manager: Speaker:

SPH3U: Projectiles. Recorder: Manager: Speaker: SPH3U: Projeciles Now i s ime o use our new skills o analyze he moion of a golf ball ha was ossed hrough he air. Le s find ou wha is special abou he moion of a projecile. Recorder: Manager: Speaker: 0

More information

not to be republished NCERT MATHEMATICAL MODELLING Appendix 2 A.2.1 Introduction A.2.2 Why Mathematical Modelling?

not to be republished NCERT MATHEMATICAL MODELLING Appendix 2 A.2.1 Introduction A.2.2 Why Mathematical Modelling? 256 MATHEMATICS A.2.1 Inroducion In class XI, we have learn abou mahemaical modelling as an aemp o sudy some par (or form) of some real-life problems in mahemaical erms, i.e., he conversion of a physical

More information

Stability and Bifurcation in a Neural Network Model with Two Delays

Stability and Bifurcation in a Neural Network Model with Two Delays Inernaional Mahemaical Forum, Vol. 6, 11, no. 35, 175-1731 Sabiliy and Bifurcaion in a Neural Nework Model wih Two Delays GuangPing Hu and XiaoLing Li School of Mahemaics and Physics, Nanjing Universiy

More information

Learning Objectives: Practice designing and simulating digital circuits including flip flops Experience state machine design procedure

Learning Objectives: Practice designing and simulating digital circuits including flip flops Experience state machine design procedure Lab 4: Synchronous Sae Machine Design Summary: Design and implemen synchronous sae machine circuis and es hem wih simulaions in Cadence Viruoso. Learning Objecives: Pracice designing and simulaing digial

More information

MATHCAD A TOOL FOR NUMERICAL CALCULATION OF SQUARE-WAVE VOLTAMMOGRAMS

MATHCAD A TOOL FOR NUMERICAL CALCULATION OF SQUARE-WAVE VOLTAMMOGRAMS Bullein of he Chemiss and Technologiss of Macedonia, Vol. 8, No., pp. 57 64 (999) GHTMDD 328 ISSN 0350 036 Received: November 6, 998 UDC: 543.552 : 004.42 Acceped: March 9, 999 Professional paper MATHCAD

More information

Available online at I-SEEC Proceeding - Science and Engineering (2013)

Available online at   I-SEEC Proceeding - Science and Engineering (2013) Available online a www.iseec01.com I-SEEC 01 Proceeding - Science and Engineering (013) 471 478 Proceeding Science and Engineering www.iseec01.com Science and Engineering Symposium 4 h Inernaional Science,

More information

Cryogenically probing the surface trap states of single nanowires. passivated by self-assembled molecular monolayers

Cryogenically probing the surface trap states of single nanowires. passivated by self-assembled molecular monolayers Elecronic Supplemenary Maerial (ESI) for Nanoscale. This journal is The Royal Sociey of Chemisry 2017 Cryogenically probing he surface rap saes of single nanowires passivaed by self-assembled molecular

More information

PET467E-Analysis of Well Pressure Tests/2008 Spring Semester/İTÜ Midterm Examination (Duration 3:00 hours) Solutions

PET467E-Analysis of Well Pressure Tests/2008 Spring Semester/İTÜ Midterm Examination (Duration 3:00 hours) Solutions M. Onur 03.04.008 PET467E-Analysis of Well Pressure Tess/008 Spring Semeser/İTÜ Miderm Examinaion (Duraion 3:00 hours) Soluions Name of he Suden: Insrucions: Before saring he exam, wrie your name clearly

More information

ACE 564 Spring Lecture 7. Extensions of The Multiple Regression Model: Dummy Independent Variables. by Professor Scott H.

ACE 564 Spring Lecture 7. Extensions of The Multiple Regression Model: Dummy Independent Variables. by Professor Scott H. ACE 564 Spring 2006 Lecure 7 Exensions of The Muliple Regression Model: Dumm Independen Variables b Professor Sco H. Irwin Readings: Griffihs, Hill and Judge. "Dumm Variables and Varing Coefficien Models

More information

Chapter 2. First Order Scalar Equations

Chapter 2. First Order Scalar Equations Chaper. Firs Order Scalar Equaions We sar our sudy of differenial equaions in he same way he pioneers in his field did. We show paricular echniques o solve paricular ypes of firs order differenial equaions.

More information

EE 435. Lecture 35. Absolute and Relative Accuracy DAC Design. The String DAC

EE 435. Lecture 35. Absolute and Relative Accuracy DAC Design. The String DAC EE 435 Lecure 35 Absolue and Relaive Accuracy DAC Design The Sring DAC Makekup Lecures Rm 6 Sweeney 5:00 Rm 06 Coover 6:00 o 8:00 . Review from las lecure. Summary of ime and ampliude quanizaion assessmen

More information

18 Biological models with discrete time

18 Biological models with discrete time 8 Biological models wih discree ime The mos imporan applicaions, however, may be pedagogical. The elegan body of mahemaical heory peraining o linear sysems (Fourier analysis, orhogonal funcions, and so

More information

STRUCTURAL CHANGE IN TIME SERIES OF THE EXCHANGE RATES BETWEEN YEN-DOLLAR AND YEN-EURO IN

STRUCTURAL CHANGE IN TIME SERIES OF THE EXCHANGE RATES BETWEEN YEN-DOLLAR AND YEN-EURO IN Inernaional Journal of Applied Economerics and Quaniaive Sudies. Vol.1-3(004) STRUCTURAL CHANGE IN TIME SERIES OF THE EXCHANGE RATES BETWEEN YEN-DOLLAR AND YEN-EURO IN 001-004 OBARA, Takashi * Absrac The

More information

Linear Response Theory: The connection between QFT and experiments

Linear Response Theory: The connection between QFT and experiments Phys540.nb 39 3 Linear Response Theory: The connecion beween QFT and experimens 3.1. Basic conceps and ideas Q: How do we measure he conduciviy of a meal? A: we firs inroduce a weak elecric field E, and

More information

More Digital Logic. t p output. Low-to-high and high-to-low transitions could have different t p. V in (t)

More Digital Logic. t p output. Low-to-high and high-to-low transitions could have different t p. V in (t) EECS 4 Spring 23 Lecure 2 EECS 4 Spring 23 Lecure 2 More igial Logic Gae delay and signal propagaion Clocked circui elemens (flip-flop) Wriing a word o memory Simplifying digial circuis: Karnaugh maps

More information

Module 4: Time Response of discrete time systems Lecture Note 2

Module 4: Time Response of discrete time systems Lecture Note 2 Module 4: Time Response of discree ime sysems Lecure Noe 2 1 Prooype second order sysem The sudy of a second order sysem is imporan because many higher order sysem can be approimaed by a second order model

More information

UNIVERSITY OF TRENTO MEASUREMENTS OF TRANSIENT PHENOMENA WITH DIGITAL OSCILLOSCOPES. Antonio Moschitta, Fabrizio Stefani, Dario Petri.

UNIVERSITY OF TRENTO MEASUREMENTS OF TRANSIENT PHENOMENA WITH DIGITAL OSCILLOSCOPES. Antonio Moschitta, Fabrizio Stefani, Dario Petri. UNIVERSIY OF RENO DEPARMEN OF INFORMAION AND COMMUNICAION ECHNOLOGY 385 Povo reno Ialy Via Sommarive 4 hp://www.di.unin.i MEASUREMENS OF RANSIEN PHENOMENA WIH DIGIAL OSCILLOSCOPES Anonio Moschia Fabrizio

More information

Air Quality Index Prediction Using Error Back Propagation Algorithm and Improved Particle Swarm Optimization

Air Quality Index Prediction Using Error Back Propagation Algorithm and Improved Particle Swarm Optimization Air Qualiy Index Predicion Using Error Back Propagaion Algorihm and Improved Paricle Swarm Opimizaion Jia Xu ( ) and Lang Pei College of Compuer Science, Wuhan Qinchuan Universiy, Wuhan, China 461406563@qq.com

More information

On a Discrete-In-Time Order Level Inventory Model for Items with Random Deterioration

On a Discrete-In-Time Order Level Inventory Model for Items with Random Deterioration Journal of Agriculure and Life Sciences Vol., No. ; June 4 On a Discree-In-Time Order Level Invenory Model for Iems wih Random Deerioraion Dr Biswaranjan Mandal Associae Professor of Mahemaics Acharya

More information

Solutions from Chapter 9.1 and 9.2

Solutions from Chapter 9.1 and 9.2 Soluions from Chaper 9 and 92 Secion 9 Problem # This basically boils down o an exercise in he chain rule from calculus We are looking for soluions of he form: u( x) = f( k x c) where k x R 3 and k is

More information

Topic Astable Circuits. Recall that an astable circuit has two unstable states;

Topic Astable Circuits. Recall that an astable circuit has two unstable states; Topic 2.2. Asable Circuis. Learning Objecives: A he end o his opic you will be able o; Recall ha an asable circui has wo unsable saes; Explain he operaion o a circui based on a Schmi inverer, and esimae

More information

Optimal Control of Dc Motor Using Performance Index of Energy

Optimal Control of Dc Motor Using Performance Index of Energy American Journal of Engineering esearch AJE 06 American Journal of Engineering esearch AJE e-issn: 30-0847 p-issn : 30-0936 Volume-5, Issue-, pp-57-6 www.ajer.org esearch Paper Open Access Opimal Conrol

More information

6.003: Signals and Systems

6.003: Signals and Systems 6.3: Signals and Sysems Lecure 7 April 8, 6.3: Signals and Sysems C Fourier ransform C Fourier ransform Represening signals by heir frequency conen. X(j)= x()e j d ( analysis equaion) x()= π X(j)e j d

More information