OPTICAL SWITCH USING TOTAL REFLECTION IN LIQUID CRYSTALS

Size: px
Start display at page:

Download "OPTICAL SWITCH USING TOTAL REFLECTION IN LIQUID CRYSTALS"

Transcription

1 7 th teratial Cferece DEVELOPMENT AND APPLCATON SYSTEMS S u c e a v a, m a i a, M a 7 9, OPTCAL SWTCH USNG TOTAL EFLECTON N LQUD CYSTALS Serge DOVGALETS 1, Yulia SEMENOVA, Vasl PYSYAZHNYUK 1 1) Departmet f Autmatics & frmati-measurig Egieerig, Viitsa Natial Techical Uiversit, Khmelitske Shsse 95, 101 Viitsa, Ukraie dvgalets@vstu.viica.ua ) Schl f Electric & Cmmuicatis Egieerig, Dubli stitute f Techlg, Kevi Street, Dubli 8, relad Abstract. Optical switch usig electr-ptical effect i liquid crstals is prpsed ad ivestigated fr icrprati i a switch matri fr ptical etwrks. This device empl ttal reflecti at the brder betwee glass ad ematic liquid crstal. Prttpe f the switch has bee desiged ad its parameters have bee ivestigated. itial results shw the switchig ctrast rati f 4 db, respectivel, with iserti lss abut.9 db fr plaried light. Kewrds: All-ptical matri switch, liquid crstal, ttal reflecti. trducti All-ptical switchig fabrics will be a sigificat cmpet i rder t relieve the capacit limitati f electric-switched etwrks. These devices allw t switch the traffic directl i the ptical dmai, avidig the eed f several ptical electrical cversis. Several techlgies have bee prpsed as cadidates fr ptical switchig. The mst cmm switchig techlg is based ptmechaical switches, where the path f light is switched b sme frm f mechaical mvemet f either fibers r mirrrs. Such switches feature gd scalabilit, hwever, this apprach ivlves mvig parts, ad tpicall has a limited lifetime f up t 10 6 ccles. Sme f the best develped tpes f ptical switch empl liquid crstal (LC) materials due t their etreme sesitivit t applied fields, lw pwer csumpti, lg lifetime ad t their lw cst. Sigle Switch X Matri Several differet phsical mechaisms fr LC switches have bee ivestigated ad tested. Oe LC techlg ivlves plmers ctaiig ematic LC drplets [1]. Ather apprach ivlves chiral smectic A, which has a much faster respse (10μs versus a few ms) []. Sme ferrelectric liquid crstal switchig techlgies are based the ccept f ttal iteral reflecti [3, 4]. Hwever, these appraches are characteried b a high eerg lss ad thus high iserti lss, which limits the practical applicatis f LC ptical switches i ptical etwrks. The mst ppular frm f switchig techlg is a s-called matri switch. We have csidered the matri csistig f sigle switches as a basic structure. This structure ca be subsequetl icrprated it a mdule ctaiig N basic matrices (Fig.1) [5]. this paper the desig f all-ptical switchig device based ttal reflecti i liquid crstals will be preseted. Priciple f perati Optical put Figure 1. Matri spatial switch. Schematic diagram f the ttal iteral reflecti switch is shw i the Figure. Plaar ematic LC laer is sadwiched betwee tw glass prisms with trasparet cductig ad aligig laers. 51

2 B cmig plariati cmig fr the case whe E-cmpet is lig i the plae frmed b the k-vectr ad the LC ptical ais. this wa the LC ptical ais chages its rietati depedig applied electric field value. t gives a pssibilit t var the LC refractive ide i the rage frm LC-OFF t LCθ OFF-state U=0 glass LC 1 ON-state Vltage applied Figure. Ttal reflecti switch structure: 1- glass prisms; - liquid crstal laer The glass ad LC material s refractive idices shuld be adjusted t maitai the switch trasparec i the OFF-state ad ttal reflecti cditi i the ON-state. The aligmet laers shuld prvide a hmgeeus plaar rietati with the directr parallel t the icidet light plariati directi. The required thickess f LC laer shuld be much greater tha the deca distace fr the evaescet wave. Withut a applied vltage the ematic has a refractive ide ( LC-OFF ) ear that f the glass prisms ( g ), s the icidet light passes thrugh the liquid crstal laer. Liquid crstal mlecules chage their rietati while the switch is tured b the applied vltage, s the LC refractive ide becmes smaller tha that f the glass ( LC-ON < g ) t satisf the ttal iteral reflecti cditi, s the iput will be reflected. Let s csider a mchrmatic plae wave prpagatig i a arbitrar directi thrugh ematic liquid crstal; tw idepedet, liearl plaried, prpagati mdes ca eist whse phase velcities are determied b the idices f refracti A ad B B alg the each directi f plariati. The itersecti f the material s ide ellipsid cmig Outgig θ Outgig glass > LC 1 B. Fr ematic liquid crstal these idices deped the surface aligmet cditis (r the teture tpe) ad the stregth ad directi f the electric field applied t the electrdes. Withut a applied electric field the ematic directr is parallel t the electrdes surfaces ad is mdeled as a uiaial crstal with a pricipal ais ellipsid give b: e = 1. () The itersecti f the rmal plae fr a icidet liearl plaried plae wave has idices f refracti give b: = =, (3) A 1/ cs θ si θ B =, (4) e where, e liquid crstal refractig idices, θ - agle betwee the light prpagati directi ad the crstal surface. Thus, fr the light with its E cmpet lig i the plae frmed b the k vectr f the ad the crstal ptical ais, the refractive ide is LC-OFF = B. B Uder a applied electric field liquid crstal mlecules chage their rietati alg the field, s the ematic laer becmes hmetrpicall aliged ad the crstal ais is alg the -ais. Fr a liearl plaried prpagatig thrugh the cell i the ON-state the ide f refracti is give b: B si θ cs θ = e 1/ (5) = 1, (1) ad the plae rmal t the directi f prpagati prduce a ellipse whse majr ad mir semi-aes determie the idices A ad 5

3 ON. As ca be see frm Fig.3, the differece betwee LC-OFF ad LC-ON values depeds bth the LC ptical aistrp ad the agle f iput icidece. A plaar liquid crstal laer ma be csidered as a cvetial Fabri-Pert iterfermeter with a refractive ide LC depedig applied vltage which light trasmittace is give b the frmula: 0 =, (6) 1 M si ( φ) where is the itesit f the light trasmitted b liquid crstal laer; 0 is the itesit f the icidet light; ( θ ) φ = k LC d cs, is the phase differece betwee tw s reflected b the laer; d is the liquid crstal π laer thickess; k = is the wave umber i λ vacuum; λ - radiati wavelegth; θ - agle f refracti at the glass-lc iterface which is give b Sell s law: glass si( θ ) = LC si( θ ), where θ is the agle f icidece; 4 M =, 1 r ad = - itesit f the reflected light r at the glass-liquid crstal iterface related t the icidet itesit, which is give b: 0 si ( θ θ ) = (7a) si ( θ θ ) fr the light with its E cmpet perpedicular t the plae f icidece ad ta ( θ θ ) =, (7b) ta ( θ θ ) fr the case whe vectr E is parallel t the plae f icidece. Fig.4 shws simulated depedece f the switch trasmittace the LC refractive ide ad the icidet agle. Liquid crstal laer ttall reflects the light whe the material s refractive idices ad the agle f icidece satisf the cditi f ttal iteral reflecti: si(θ ). (8) LC glass 1,0 1,75 1,70 1,65 LC-ON LC-OFF 0,5 / 0 LC 1,60 1,55 1, θ, 0 Figure 3. Calculated depedecies f refractig idices the agle f icidece fr OFF ad ON mdes cidet agle, 0 0,0 1,1 1, 1,3 1,4 1,5 1,6 1,7 LC refractive ide Figure 4. Simulated depedece f the ttal reflecti switch trasmittace liquid crstal refractive ide ad the icidet agle f icmig ( glass = 1.67). 53

4 The figure shws that the ttal reflecti switch desig ad peratig mdes are defied b the crrelati betwee the glass prisms material, ematic liquid crstal refractive idices ad the agle f icmig icidece. Thus t achieve a maimum switchig trasmittace chage it is ecessar t make a ptimiati f these parameters. such a wa it is pssible t chse a ptimum icidet agle fr the fied ematic glass cmbiati. t shuld be ted, that the chice f a apprpriate icidet agle defies the glass prisms shape, which shuld be simple ad suitable fr icrpratig the switchig elemet it a matri. The thickess f liquid crstal laer des t sigificatl ifluece the switch perfrmace uless it is clse t the radiati wavelegth value. this case a evaescet field ma reduce the itesit f the reflected. This parameter is mre imprtat frm the drivig vltage pit f view as lg as icreasig f the laer thickess leads t the ctrl vltage grwth. ur eperimet the switch parameters are justified t perate at λ = 633m ad t prvide the agle f reflecti f The glass prisms are rectagular shaped t simplif a matri desig. Eperimetal results The ttal reflecti switch perfrmace was ivestigated i the sample the base f tw glass prisms ( g = ) with trasparet electrdes. The prisms were cated i a cetrifuge with PVA, bth substrates were rubbed ad the aliged atiparallel t each ther. The liquid crstal material (Merck E63, e = , = 1.517, Δ = 0.7 at λ = m) was itrduced it the cell b capillar acti. The thickess f the ematic liquid crstal laer was 5 μm. The eperimetal set-up is shw i Figure 5. The LC cell (ttal reflecti switch) is desiged t perate at 633 m wavelegth f He-Ne laser. Fr rectagular prisms used i measuremets the icidet agle value is 75 0 ad the icidet light plariati is parallel t the directi f the rubbig f the aligig laer. 54 Laser P Geeratr θ LC Switch PD PD Oscillscpe Figure 5. Ttal reflecti switch eperimetal set-up: P plarier, PD phtdide. The ttal reflecti elemet is drive with a biplar square wave sigal with a amplitude frm 0 V t 35 V p-p. The frequec f the drivig sigal equals t 1 kh. A tpical electr-ptic respse fr the ttal reflecti switch is shw i the Figure 6. The measuremets t evaluate the switch perfrmace shw the fllw results - switchig ctrast: 4dB fr trasmittig mde ad 0.5dB fr reflectig mde, iserti lss level:.8db ad switchig time: 0,34ms. The glass parts f bth switches did t have a ati-reflecti catig their surfaces. The iserti lss ca be reduced b use f a 100% plarier, based chlesteric mirrrs. Such a cmpet culd have a high trasmissi, limited l b the ptical precisi ad material rietati defects. Pht dide's respse, V,5,0 1,5 1,0 0,5 trasmitted, reflected 0, Applied vltage, V Figure 6.Tpical electr-ptic respse fr the ttal reflecti switch.

5 Cclusi cclusi, we have described a switchig device usig the ttal reflecti phemea the base f glass prisms ad a ematic liquid crstal laer. Prttpe f sigle switch has bee desiged ad its parameters have bee ivestigated. The first eperimetal results fr a visible radiati idicate that a high switchig ctrast (40dB) ad a satisfactr lw (3dB) iserti lss level ca be achieved fr the give tpe f switch. The advatages f the prpsed desig are simple ad cmpact structure, electric ctrl, lw pwer csumpti ad gd scalabilit. Wrk i prgress icludes miimiig the iserti lss ad crss talk fr icrprati it a switch matri. efereces [1] C.C. Bwle, P.A. Kssrev, G.P. Crawfrd, S.Faris, (001), Variable-wavelegth switchable Bragg gratigs frmed i plmer-dispersed liquid crstals, App. Phs. Lett. 79, 1 p.6574, [] A.Seh ad K. M. Jhs, (1996), Highspeed ctiuusl tuable liquid crstal filter fr WDM etwrks, J. Lightwave Techl. 14, p.1067, [3] N. A. ia ad S. Yua, (1999), ecfigurable wavelegth add-drp filterig based a baa etwrk tplg ad ferrelectric liquid crstal fiber-ptic switches, J. Lightwave Techl. 17, p.1575, [4] J. E. Fuquet, (000), Cmpact ptical crss-cect switch based ttal iteral reflecti i a fluid-ctaiig plaar lightwave circuit, Prc. Optical Fiber Cmmuicati Cf., p. 04, OSA, Washigt, DC, [5] Yu. Semeva, S. M. Dvgalets, Yu. Paari, G. Farrell, Liquid crstal based Optical Switches, Mlecular Crst.& Liquid Crst., (accepted fr publicati). 55

Cold mirror based on High-Low-High refractive index dielectric materials

Cold mirror based on High-Low-High refractive index dielectric materials Cld mirrr based High-Lw-High refractive idex dielectric materials V.V. Elyuti.A. Butt S.N. Khia Samara Natial Research Uiversity 34 skvske Shsse 443086 Samara Russia Image Prcessig Systems Istitute Brach

More information

Sound Absorption Characteristics of Membrane- Based Sound Absorbers

Sound Absorption Characteristics of Membrane- Based Sound Absorbers Purdue e-pubs Publicatis f the Ray W. Schl f Mechaical Egieerig 8-28-2003 Sud Absrpti Characteristics f Membrae- Based Sud Absrbers J Stuart Blt, blt@purdue.edu Jih Sg Fllw this ad additial wrks at: http://dcs.lib.purdue.edu/herrick

More information

Axial Temperature Distribution in W-Tailored Optical Fibers

Axial Temperature Distribution in W-Tailored Optical Fibers Axial Temperature Distributi i W-Tailred Optical ibers Mhamed I. Shehata (m.ismail34@yah.cm), Mustafa H. Aly(drmsaly@gmail.cm) OSA Member, ad M. B. Saleh (Basheer@aast.edu) Arab Academy fr Sciece, Techlgy

More information

Solutions. Definitions pertaining to solutions

Solutions. Definitions pertaining to solutions Slutis Defiitis pertaiig t slutis Slute is the substace that is disslved. It is usually preset i the smaller amut. Slvet is the substace that des the disslvig. It is usually preset i the larger amut. Slubility

More information

Intermediate Division Solutions

Intermediate Division Solutions Itermediate Divisi Slutis 1. Cmpute the largest 4-digit umber f the frm ABBA which is exactly divisible by 7. Sluti ABBA 1000A + 100B +10B+A 1001A + 110B 1001 is divisible by 7 (1001 7 143), s 1001A is

More information

ENGI 4421 Central Limit Theorem Page Central Limit Theorem [Navidi, section 4.11; Devore sections ]

ENGI 4421 Central Limit Theorem Page Central Limit Theorem [Navidi, section 4.11; Devore sections ] ENGI 441 Cetral Limit Therem Page 11-01 Cetral Limit Therem [Navidi, secti 4.11; Devre sectis 5.3-5.4] If X i is t rmally distributed, but E X i, V X i ad is large (apprximately 30 r mre), the, t a gd

More information

MATHEMATICS 9740/01 Paper 1 14 Sep hours

MATHEMATICS 9740/01 Paper 1 14 Sep hours Cadidate Name: Class: JC PRELIMINARY EXAM Higher MATHEMATICS 9740/0 Paper 4 Sep 06 3 hurs Additial Materials: Cver page Aswer papers List f Frmulae (MF5) READ THESE INSTRUCTIONS FIRST Write yur full ame

More information

[1 & α(t & T 1. ' ρ 1

[1 & α(t & T 1. ' ρ 1 NAME 89.304 - IGNEOUS & METAMORPHIC PETROLOGY DENSITY & VISCOSITY OF MAGMAS I. Desity The desity (mass/vlume) f a magma is a imprtat parameter which plays a rle i a umber f aspects f magma behavir ad evluti.

More information

BIO752: Advanced Methods in Biostatistics, II TERM 2, 2010 T. A. Louis. BIO 752: MIDTERM EXAMINATION: ANSWERS 30 November 2010

BIO752: Advanced Methods in Biostatistics, II TERM 2, 2010 T. A. Louis. BIO 752: MIDTERM EXAMINATION: ANSWERS 30 November 2010 BIO752: Advaced Methds i Bistatistics, II TERM 2, 2010 T. A. Luis BIO 752: MIDTERM EXAMINATION: ANSWERS 30 Nvember 2010 Questi #1 (15 pits): Let X ad Y be radm variables with a jit distributi ad assume

More information

INF-GEO Solutions, Geometrical Optics, Part 1

INF-GEO Solutions, Geometrical Optics, Part 1 INF-GEO430 20 Solutios, Geometrical Optics, Part Reflectio by a symmetric triagular prism Let be the agle betwee the two faces of a symmetric triagular prism. Let the edge A where the two faces meet be

More information

Study of Energy Eigenvalues of Three Dimensional. Quantum Wires with Variable Cross Section

Study of Energy Eigenvalues of Three Dimensional. Quantum Wires with Variable Cross Section Adv. Studies Ther. Phys. Vl. 3 009. 5 3-0 Study f Eergy Eigevalues f Three Dimesial Quatum Wires with Variale Crss Secti M.. Sltai Erde Msa Departmet f physics Islamic Aad Uiversity Share-ey rach Ira alrevahidi@yah.cm

More information

Quantum Mechanics for Scientists and Engineers. David Miller

Quantum Mechanics for Scientists and Engineers. David Miller Quatum Mechaics fr Scietists ad Egieers David Miller Time-depedet perturbati thery Time-depedet perturbati thery Time-depedet perturbati basics Time-depedet perturbati thery Fr time-depedet prblems csider

More information

Grade 3 Mathematics Course Syllabus Prince George s County Public Schools

Grade 3 Mathematics Course Syllabus Prince George s County Public Schools Ctet Grade 3 Mathematics Curse Syllabus Price Gerge s Cuty Public Schls Prerequisites: Ne Curse Descripti: I Grade 3, istructial time shuld fcus fur critical areas: (1) develpig uderstadig f multiplicati

More information

Design and Implementation of Cosine Transforms Employing a CORDIC Processor

Design and Implementation of Cosine Transforms Employing a CORDIC Processor C16 1 Desig ad Implemetati f Csie Trasfrms Emplyig a CORDIC Prcessr Sharaf El-Di El-Nahas, Ammar Mttie Al Hsaiy, Magdy M. Saeb Arab Academy fr Sciece ad Techlgy, Schl f Egieerig, Alexadria, EGYPT ABSTRACT

More information

Multi-objective Programming Approach for. Fuzzy Linear Programming Problems

Multi-objective Programming Approach for. Fuzzy Linear Programming Problems Applied Mathematical Scieces Vl. 7 03. 37 8-87 HIKARI Ltd www.m-hikari.cm Multi-bective Prgrammig Apprach fr Fuzzy Liear Prgrammig Prblems P. Padia Departmet f Mathematics Schl f Advaced Scieces VIT Uiversity

More information

Frequency-Domain Study of Lock Range of Injection-Locked Non- Harmonic Oscillators

Frequency-Domain Study of Lock Range of Injection-Locked Non- Harmonic Oscillators 0 teratial Cferece mage Visi ad Cmputig CVC 0 PCST vl. 50 0 0 ACST Press Sigapre DO: 0.776/PCST.0.V50.6 Frequecy-Dmai Study f Lck Rage f jecti-lcked N- armic Oscillatrs Yushi Zhu ad Fei Yua Departmet f

More information

Ch. 1 Introduction to Estimation 1/15

Ch. 1 Introduction to Estimation 1/15 Ch. Itrducti t stimati /5 ample stimati Prblem: DSB R S f M f s f f f ; f, φ m tcsπf t + φ t f lectrics dds ise wt usually white BPF & mp t s t + w t st. lg. f & φ X udi mp cs π f + φ t Oscillatr w/ f

More information

FAILURE CRITERIA: MOHR S CIRCLE AND PRINCIPAL STRESSES

FAILURE CRITERIA: MOHR S CIRCLE AND PRINCIPAL STRESSES LECTURE Third Editio FAILURE CRITERIA: MOHR S CIRCLE AND PRINCIPAL STRESSES A. J. Clark School of Egieerig Departmet of Civil ad Evirometal Egieerig Chapter 7.4 b Dr. Ibrahim A. Assakkaf SPRING 3 ENES

More information

Introduction of Surface Acoustic Wave (SAW) Devices

Introduction of Surface Acoustic Wave (SAW) Devices April, 018 Itroductio of Surface Acoustic Wave (SAW) Devices Part 6: D Propagatio ad Waveguide Ke-a Hashimoto Chiba Uiversit k.hashimoto@ieee.org http://www. te.chiba-u. jp/~ke Cotets Wavevector ad Diffractio

More information

Studies Of Liquid Crystal Response Time

Studies Of Liquid Crystal Response Time Uiversity f Cetral Flrida Electric Theses ad Dissertatis Dctral Dissertati (Ope Access) Studies Of Liquid Crystal Respse Time 005 Haiyig Wag Uiversity f Cetral Flrida Fid similar wrks at: http://stars.library.ucf.edu/etd

More information

D.S.G. POLLOCK: TOPICS IN TIME-SERIES ANALYSIS STATISTICAL FOURIER ANALYSIS

D.S.G. POLLOCK: TOPICS IN TIME-SERIES ANALYSIS STATISTICAL FOURIER ANALYSIS STATISTICAL FOURIER ANALYSIS The Furier Represetati f a Sequece Accrdig t the basic result f Furier aalysis, it is always pssible t apprximate a arbitrary aalytic fucti defied ver a fiite iterval f the

More information

Ray Optics Theory and Mode Theory. Dr. Mohammad Faisal Dept. of EEE, BUET

Ray Optics Theory and Mode Theory. Dr. Mohammad Faisal Dept. of EEE, BUET Ray Optics Theory ad Mode Theory Dr. Mohammad Faisal Dept. of, BUT Optical Fiber WG For light to be trasmitted through fiber core, i.e., for total iteral reflectio i medium, > Ray Theory Trasmissio Ray

More information

ACTIVE FILTERS EXPERIMENT 2 (EXPERIMENTAL)

ACTIVE FILTERS EXPERIMENT 2 (EXPERIMENTAL) EXPERIMENT ATIVE FILTERS (EXPERIMENTAL) OBJETIVE T desig secd-rder lw pass ilters usig the Salle & Key (iite psitive- gai) ad iiite-gai apliier dels. Oe circuit will exhibit a Butterwrth respse ad the

More information

Section 19. Dispersing Prisms

Section 19. Dispersing Prisms Sectio 9 Dispersig Prisms 9- Dispersig Prism 9- The et ray deviatio is the sum of the deviatios at the two surfaces. The ray deviatio as a fuctio of the iput agle : si si si cossi Prism Deviatio - Derivatio

More information

Section 19. Dispersing Prisms

Section 19. Dispersing Prisms 19-1 Sectio 19 Dispersig Prisms Dispersig Prism 19-2 The et ray deviatio is the sum of the deviatios at the two surfaces. The ray deviatio as a fuctio of the iput agle : 1 2 2 si si si cossi Prism Deviatio

More information

Chapter 3.1: Polynomial Functions

Chapter 3.1: Polynomial Functions Ntes 3.1: Ply Fucs Chapter 3.1: Plymial Fuctis I Algebra I ad Algebra II, yu ecutered sme very famus plymial fuctis. I this secti, yu will meet may ther members f the plymial family, what sets them apart

More information

REFLECTION AND REFRACTION

REFLECTION AND REFRACTION REFLECTION AND REFRACTION REFLECTION AND TRANSMISSION FOR NORMAL INCIDENCE ON A DIELECTRIC MEDIUM Assumptios: No-magetic media which meas that B H. No dampig, purely dielectric media. No free surface charges.

More information

L. A. P. T. Quick Look at Slow and Fast Light

L. A. P. T. Quick Look at Slow and Fast Light Quick Lk at Slw ad Fast Light Ceter fr Phtic Cmmuicati ad Cmputig Labratry fr Atmic ad Phtic Techlgy Ccept f Phase Velcity f a Mchrmatic Wave Mchrmatic plae wave z z 1 (c/) t 1 z Phase frt E ( ) i( k z

More information

PY3101 Optics. Learning objectives. Wave propagation in anisotropic media Poynting walk-off The index ellipsoid Birefringence. The Index Ellipsoid

PY3101 Optics. Learning objectives. Wave propagation in anisotropic media Poynting walk-off The index ellipsoid Birefringence. The Index Ellipsoid The Ide Ellpsd M.P. Vaugha Learg bjectves Wave prpagat astrpc meda Ptg walk-ff The de ellpsd Brefrgece 1 Wave prpagat astrpc meda The wave equat Relatve permttvt I E. Assumg free charges r currets E. Substtutg

More information

Study in Cylindrical Coordinates of the Heat Transfer Through a Tow Material-Thermal Impedance

Study in Cylindrical Coordinates of the Heat Transfer Through a Tow Material-Thermal Impedance Research ural f Applied Scieces, Egieerig ad echlgy (): 9-63, 3 ISSN: 4-749; e-issn: 4-7467 Maxwell Scietific Orgaiati, 3 Submitted: uly 4, Accepted: September 8, Published: May, 3 Study i Cylidrical Crdiates

More information

UNIT 1: Geometry of single point turning tools:

UNIT 1: Geometry of single point turning tools: UNIT 1: Thery f Metal uttig: Sigle pit cuttig tl meclature, gemetry, Merchats circle diagram ad aalysis, Erst Merchat s sluti, shear agle relatiship, prblems f Merchat s aalysis, tl wear ad tl failure,

More information

5.1 Two-Step Conditional Density Estimator

5.1 Two-Step Conditional Density Estimator 5.1 Tw-Step Cditial Desity Estimatr We ca write y = g(x) + e where g(x) is the cditial mea fucti ad e is the regressi errr. Let f e (e j x) be the cditial desity f e give X = x: The the cditial desity

More information

ENGI 4421 Central Limit Theorem Page Central Limit Theorem [Navidi, section 4.11; Devore sections ]

ENGI 4421 Central Limit Theorem Page Central Limit Theorem [Navidi, section 4.11; Devore sections ] ENGI 441 Cetral Limit Therem Page 11-01 Cetral Limit Therem [Navidi, secti 4.11; Devre sectis 5.3-5.4] If X i is t rmally distributed, but E X i, V X i ad is large (apprximately 30 r mre), the, t a gd

More information

ESWW-2. Israeli semi-underground great plastic scintillation multidirectional muon telescope (ISRAMUTE) for space weather monitoring and forecasting

ESWW-2. Israeli semi-underground great plastic scintillation multidirectional muon telescope (ISRAMUTE) for space weather monitoring and forecasting ESWW-2 Israeli semi-udergrud great plastic scitillati multidirectial mu telescpe (ISRAMUTE) fr space weather mitrig ad frecastig L.I. Drma a,b, L.A. Pustil'ik a, A. Sterlieb a, I.G. Zukerma a (a) Israel

More information

EXPERIMENT-V. Eletrooptic Effect

EXPERIMENT-V. Eletrooptic Effect XPRIMNT-V letptic ffect Aim: T stud the lectptic effect i LiNbO cstal Appaatus: A He-Ne lase, pai f plaise with gaduated scales, LiNbO cstal i a hlde, phtdetect, digital multimete / pwe mete. Itducti:

More information

The Excel FFT Function v1.1 P. T. Debevec February 12, The discrete Fourier transform may be used to identify periodic structures in time ht.

The Excel FFT Function v1.1 P. T. Debevec February 12, The discrete Fourier transform may be used to identify periodic structures in time ht. The Excel FFT Fucti v P T Debevec February 2, 26 The discrete Furier trasfrm may be used t idetify peridic structures i time ht series data Suppse that a physical prcess is represeted by the fucti f time,

More information

Three charges, all with a charge of 10 C are situated as shown (each grid line is separated by 1 meter).

Three charges, all with a charge of 10 C are situated as shown (each grid line is separated by 1 meter). Three charges, all with a charge f 0 are situated as shwn (each grid line is separated by meter). ) What is the net wrk needed t assemble this charge distributin? a) +0.5 J b) +0.8 J c) 0 J d) -0.8 J e)

More information

The Acoustical Physics of a Standing Wave Tube

The Acoustical Physics of a Standing Wave Tube UIUC Physics 93POM/Physics 406POM The Physics f Music/Physics f Musical Istrumets The Acustical Physics f a Stadig Wave Tube A typical cylidrical-shaped stadig wave tube (SWT) {aa impedace tube} f legth

More information

x 2 x 3 x b 0, then a, b, c log x 1 log z log x log y 1 logb log a dy 4. dx As tangent is perpendicular to the x axis, slope

x 2 x 3 x b 0, then a, b, c log x 1 log z log x log y 1 logb log a dy 4. dx As tangent is perpendicular to the x axis, slope The agle betwee the tagets draw t the parabla y = frm the pit (-,) 5 9 6 Here give pit lies the directri, hece the agle betwee the tagets frm that pit right agle Ratig :EASY The umber f values f c such

More information

To the use of Sellmeier formula

To the use of Sellmeier formula To the use of Sellmeier formula by Volkmar Brücker Seior Experte Service (SES) Bo ad HfT Leipzig, Germay Abstract Based o dispersio of pure silica we proposed a geeral Sellmeier formula for various dopats

More information

Examination No. 3 - Tuesday, Nov. 15

Examination No. 3 - Tuesday, Nov. 15 NAME (lease rit) SOLUTIONS ECE 35 - DEVICE ELECTRONICS Fall Semester 005 Examiati N 3 - Tuesday, Nv 5 3 4 5 The time fr examiati is hr 5 mi Studets are allwed t use 3 sheets f tes Please shw yur wrk, artial

More information

Super-efficiency Models, Part II

Super-efficiency Models, Part II Super-efficiec Mdels, Part II Emilia Niskae The 4th f Nvember S steemiaalsi Ctets. Etesis t Variable Returs-t-Scale (0.4) S steemiaalsi Radial Super-efficiec Case Prblems with Radial Super-efficiec Case

More information

PHYC 3540 Summary. n nl

PHYC 3540 Summary. n nl HYC 354 Summar. rpagati light a. Hitr wave v. particle picture b. Fermat riciple actual path i that r which the L i a etremum c. Huge priciple ever pit wavert act a a urce i. Large aperture >>λ rectiliear

More information

Every gas consists of a large number of small particles called molecules moving with very high velocities in all possible directions.

Every gas consists of a large number of small particles called molecules moving with very high velocities in all possible directions. Kietic thery f gases ( Kietic thery was develped by Berlli, Jle, Clasis, axwell ad Bltzma etc. ad represets dyamic particle r micrscpic mdel fr differet gases sice it thrws light the behir f the particles

More information

Efficient Processing of Continuous Reverse k Nearest Neighbor on Moving Objects in Road Networks

Efficient Processing of Continuous Reverse k Nearest Neighbor on Moving Objects in Road Networks Iteratial Jural f Ge-Ifrmati Article Efficiet Prcessig f Ctiuus Reverse k Nearest Neighbr Mvig Objects i Rad Netwrks Muhammad Attique, Hyug-Ju Ch, Rize Ji ad Tae-Su Chug, * Departmet f Cmputer Egieerig,

More information

Author. Introduction. Author. o Asmir Tobudic. ISE 599 Computational Modeling of Expressive Performance

Author. Introduction. Author. o Asmir Tobudic. ISE 599 Computational Modeling of Expressive Performance ISE 599 Cmputatial Mdelig f Expressive Perfrmace Playig Mzart by Aalgy: Learig Multi-level Timig ad Dyamics Strategies by Gerhard Widmer ad Asmir Tbudic Preseted by Tsug-Ha (Rbert) Chiag April 5, 2006

More information

A Study on Estimation of Lifetime Distribution with Covariates Under Misspecification

A Study on Estimation of Lifetime Distribution with Covariates Under Misspecification Prceedigs f the Wrld Cgress Egieerig ad Cmputer Sciece 2015 Vl II, Octber 21-23, 2015, Sa Fracisc, USA A Study Estimati f Lifetime Distributi with Cvariates Uder Misspecificati Masahir Ykyama, Member,

More information

LHS Mathematics Department Honors Pre-Calculus Final Exam 2002 Answers

LHS Mathematics Department Honors Pre-Calculus Final Exam 2002 Answers LHS Mathematics Department Hnrs Pre-alculus Final Eam nswers Part Shrt Prblems The table at the right gives the ppulatin f Massachusetts ver the past several decades Using an epnential mdel, predict the

More information

GENERAL FORMULAS FOR FLAT-TOPPED WAVEFORMS. J.e. Sprott. Plasma Studies. University of Wisconsin

GENERAL FORMULAS FOR FLAT-TOPPED WAVEFORMS. J.e. Sprott. Plasma Studies. University of Wisconsin GENERAL FORMULAS FOR FLAT-TOPPED WAVEFORMS J.e. Sprtt PLP 924 September 1984 Plasma Studies University f Wiscnsin These PLP Reprts are infrmal and preliminary and as such may cntain errrs nt yet eliminated.

More information

Chapter 35 - Refraction

Chapter 35 - Refraction Chapter 35 - Refractio Objectives: After completig this module, you should be able to: Defie ad apply the cocept of the idex of refractio ad discuss its effect o the velocity ad wavelegth of light. Apply

More information

WEST VIRGINIA UNIVERSITY

WEST VIRGINIA UNIVERSITY WEST VIRGINIA UNIVERSITY PLASMA PHYSICS GROUP INTERNAL REPORT PL - 045 Mea Optical epth ad Optical Escape Factr fr Helium Trasitis i Helic Plasmas R.F. Bivi Nvember 000 Revised March 00 TABLE OF CONTENT.0

More information

A Novel Isolated Buck-Boost Converter

A Novel Isolated Buck-Boost Converter vel slated uck-st Cnverter S-Sek Kim *,WOO-J JG,JOOG-HO SOG, Ok-K Kang, and Hee-Jn Kim ept. f Electrical Eng., Seul atinal University f Technlgy, Krea Schl f Electrical and Cmputer Eng., Hanyang University,

More information

Chapter 16. Capacitance. Capacitance, cont. Parallel-Plate Capacitor, Example 1/20/2011. Electric Energy and Capacitance

Chapter 16. Capacitance. Capacitance, cont. Parallel-Plate Capacitor, Example 1/20/2011. Electric Energy and Capacitance summary C = ε A / d = πε L / ln( b / a ) ab C = 4πε 4πε a b a b >> a Chapter 16 Electric Energy and Capacitance Capacitance Q=CV Parallel plates, caxial cables, Earth Series and parallel 1 1 1 = + +..

More information

On the affine nonlinearity in circuit theory

On the affine nonlinearity in circuit theory O the affie liearity i circuit thery Emauel Gluski The Kieret Cllege the Sea f Galilee; ad Ort Braude Cllege (Carmiel), Israel. gluski@ee.bgu.ac.il; http://www.ee.bgu.ac.il/~gluski/ E. Gluski, O the affie

More information

Lecture 7: Polar representation of complex numbers

Lecture 7: Polar representation of complex numbers Lecture 7: Polar represetatio of comple umbers See FLAP Module M3.1 Sectio.7 ad M3. Sectios 1 ad. 7.1 The Argad diagram I two dimesioal Cartesia coordiates (,), we are used to plottig the fuctio ( ) with

More information

Cork Institute of Technology Bachelor of Science (Honours) in Applied Physics and Instrumentation-Award - (NFQ Level 8)

Cork Institute of Technology Bachelor of Science (Honours) in Applied Physics and Instrumentation-Award - (NFQ Level 8) ork Istitute of Techology Bachelor of Sciece (Hoours) i Applied Physics ad Istrumetatio-Award - (NFQ Level 8) Istructios Aswer Four questios, at least TWO questios from each Sectio. Use separate aswer

More information

OBJECTIVES. Chapter 1 INTRODUCTION TO INSTRUMENTATION FUNCTION AND ADVANTAGES INTRODUCTION. At the end of this chapter, students should be able to:

OBJECTIVES. Chapter 1 INTRODUCTION TO INSTRUMENTATION FUNCTION AND ADVANTAGES INTRODUCTION. At the end of this chapter, students should be able to: OBJECTIVES Chapter 1 INTRODUCTION TO INSTRUMENTATION At the ed of this chapter, studets should be able to: 1. Explai the static ad dyamic characteristics of a istrumet. 2. Calculate ad aalyze the measuremet

More information

GULF MATHEMATICS OLYMPIAD 2014 CLASS : XII

GULF MATHEMATICS OLYMPIAD 2014 CLASS : XII GULF MATHEMATICS OLYMPIAD 04 CLASS : XII Date of Eamiatio: Maimum Marks : 50 Time : 0:30 a.m. to :30 p.m. Duratio: Hours Istructios to cadidates. This questio paper cosists of 50 questios. All questios

More information

Effect of Temperature Variations on Strain Response of Polymer Bragg Grating Optical Fibers

Effect of Temperature Variations on Strain Response of Polymer Bragg Grating Optical Fibers Iraq J. Electrical ad Electroic Egieerig Vol.13 No.1, 17 مجلد 13 العدد 17 1 Effect of Temperature Variatios o Strai Respose of Polymer Bragg Gratig Optical Fibers Hisham K. Hisham Electrical Egieerig Departmet,

More information

Physics 2B Chapter 23 Notes - Faraday s Law & Inductors Spring 2018

Physics 2B Chapter 23 Notes - Faraday s Law & Inductors Spring 2018 Michael Faraday lived in the Lndn area frm 1791 t 1867. He was 29 years ld when Hand Oersted, in 1820, accidentally discvered that electric current creates magnetic field. Thrugh empirical bservatin and

More information

E o and the equilibrium constant, K

E o and the equilibrium constant, K lectrchemical measuremets (Ch -5 t 6). T state the relati betwee ad K. (D x -b, -). Frm galvaic cell vltage measuremet (a) K sp (D xercise -8, -) (b) K sp ad γ (D xercise -9) (c) K a (D xercise -G, -6)

More information

Unit -2 THEORY OF DILUTE SOLUTIONS

Unit -2 THEORY OF DILUTE SOLUTIONS Uit - THEORY OF DILUTE SOLUTIONS 1) hat is sluti? : It is a hmgeus mixture f tw r mre cmpuds. ) hat is dilute sluti? : It is a sluti i which slute ccetrati is very less. 3) Give a example fr slid- slid

More information

Edexcel GCSE Physics

Edexcel GCSE Physics Edexcel GCSE Physics Tpic 10: Electricity and circuits Ntes (Cntent in bld is fr Higher Tier nly) www.pmt.educatin The Structure f the Atm Psitively charged nucleus surrunded by negatively charged electrns

More information

Distributed Trajectory Generation for Cooperative Multi-Arm Robots via Virtual Force Interactions

Distributed Trajectory Generation for Cooperative Multi-Arm Robots via Virtual Force Interactions 862 IEEE TRANSACTIONS ON SYSTEMS, MAN, AND CYBERNETICS PART B: CYBERNETICS, VOL. 27, NO. 5, OCTOBER 1997 Distributed Trajectry Geerati fr Cperative Multi-Arm Rbts via Virtual Frce Iteractis Tshi Tsuji,

More information

Revision: August 19, E Main Suite D Pullman, WA (509) Voice and Fax

Revision: August 19, E Main Suite D Pullman, WA (509) Voice and Fax .7.4: Direct frequency dmain circuit analysis Revisin: August 9, 00 5 E Main Suite D Pullman, WA 9963 (509) 334 6306 ice and Fax Overview n chapter.7., we determined the steadystate respnse f electrical

More information

Particle Swarm Optimization Design of Optical Directional Coupler Based on Power Loss Analysis

Particle Swarm Optimization Design of Optical Directional Coupler Based on Power Loss Analysis Iteratioal Joural of Itelliget Sstems ad Applicatios i Egieerig ISSN:147-6799147-6799www.atsciece.org/IJASAE Advaced Techolog ad Sciece Origial Research Paper Particle Swarm Optimizatio esig of Optical

More information

BC Calculus Review Sheet. converges. Use the integral: L 1

BC Calculus Review Sheet. converges. Use the integral: L 1 BC Clculus Review Sheet Whe yu see the wrds.. Fid the re f the uuded regi represeted y the itegrl (smetimes f ( ) clled hriztl imprper itegrl).. Fid the re f differet uuded regi uder f() frm (,], where

More information

Optics. n n. sin. 1. law of rectilinear propagation 2. law of reflection = 3. law of refraction

Optics. n n. sin. 1. law of rectilinear propagation 2. law of reflection = 3. law of refraction Optics What is light? Visible electromagetic radiatio Geometrical optics (model) Light-ray: extremely thi parallel light beam Usig this model, the explaatio of several optical pheomea ca be give as the

More information

ECEN 4872/5827 Lecture Notes

ECEN 4872/5827 Lecture Notes ECEN 4872/5827 Lecture Ntes Lecture #5 Objectives fr lecture #5: 1. Analysis f precisin current reference 2. Appraches fr evaluating tlerances 3. Temperature Cefficients evaluatin technique 4. Fundamentals

More information

EVALUATION OF GLASS FIBER/EPOXY INTERFACIAL STRENGTH BY THE CRUCIFORM SPECIMEN METHOD

EVALUATION OF GLASS FIBER/EPOXY INTERFACIAL STRENGTH BY THE CRUCIFORM SPECIMEN METHOD EVALUATION OF GLASS FIBER/EPOX INTERFACIAL STRENGTH B THE CRUCIFORM SPECIMEN METHOD Ju KOANAGI, Hajime KATO, Akihiro KASHIMA, uichi IGARASHI, Keichi WATANABE 3, Ichiro UENO 4 ad Shiji OGIHARA 4 Istitute

More information

Analytical relations describing piezooptic effect in tetragonal crystals

Analytical relations describing piezooptic effect in tetragonal crystals Aalytical relatis describig piezptic effect i tetragal crystals, Mytsyk B., Demyayshy N. ad Kst Ya. Istitute f Physical Optics, Dragmav St., 79005 Lviv, Ukraie Karpek Physics ad Mechaics Istitute, 5 Naukva

More information

Modeling the Radiation Field of Normal-Beam Ultrasonic Transducers by Multi-Gaussian Beam Technique

Modeling the Radiation Field of Normal-Beam Ultrasonic Transducers by Multi-Gaussian Beam Technique Modelig the Radiatio Field of Normal-Beam Ultrasoic Trasducers by Multi-Gaussia Beam Techique Ami Yaghootia, Farhag Hoarvar, ad Mehdi Zeighami NDE Lab., Faculty of Mechaical Egieerig, K. N. Toosi Uiversity

More information

A unified brittle fracture criterion for structures with sharp V-notches under mixed mode loading

A unified brittle fracture criterion for structures with sharp V-notches under mixed mode loading Jural f Mechaical Sciece ad Techlgy Jural f Mechaical Sciece ad Techlgy 22 (2008) 269~278 www.sprigerlik.cm/ctet/738-494x A uified brittle fracture criteri fr structures with sharp V-tches uder mixed mde

More information

READING STATECHART DIAGRAMS

READING STATECHART DIAGRAMS READING STATECHART DIAGRAMS Figure 4.48 A Statechart diagram with events The diagram in Figure 4.48 shws all states that the bject plane can be in during the curse f its life. Furthermre, it shws the pssible

More information

Chapter 4. Problem Solutions

Chapter 4. Problem Solutions Chapter 4. Prblem Slutis. The great majrity f alpha particles pass thrugh gases ad thi metal fils with deflectis. T what cclusi abut atmic structure des this bservati lead? The fact that mst particles

More information

REFLECTION AND REFRACTION

REFLECTION AND REFRACTION RFLCTON AND RFRACTON We ext ivestigate what happes whe a light ray movig i oe medium ecouters aother medium, i.e. the pheomea of reflectio ad refractio. We cosider a plae M wave strikig a plae iterface

More information

Experiment #3. Graphing with Excel

Experiment #3. Graphing with Excel Experiment #3. Graphing with Excel Study the "Graphing with Excel" instructins that have been prvided. Additinal help with learning t use Excel can be fund n several web sites, including http://www.ncsu.edu/labwrite/res/gt/gt-

More information

CHM112 Lab Graphing with Excel Grading Rubric

CHM112 Lab Graphing with Excel Grading Rubric Name CHM112 Lab Graphing with Excel Grading Rubric Criteria Pints pssible Pints earned Graphs crrectly pltted and adhere t all guidelines (including descriptive title, prperly frmatted axes, trendline

More information

Total Internal Reflection Ellipsometry with Transition Layer

Total Internal Reflection Ellipsometry with Transition Layer 168 Total Iteral Reflectio Ellipsometry with Trasitio Layer Jaroslav Vlček*, Jaromír Pištora b, Odřej Bárta c, Tomuo Yamaguchi d VOL. 1, NO. 1, JUNE 26 *Departmet of Mathematics, b Departmet of Physics,

More information

a b c d e f g h Supplementary Information

a b c d e f g h Supplementary Information Supplemetary Iformatio a b c d e f g h Supplemetary Figure S STM images show that Dark patters are frequetly preset ad ted to accumulate. (a) mv, pa, m ; (b) mv, pa, m ; (c) mv, pa, m ; (d) mv, pa, m ;

More information

MATHEMATICS (Three hours and a quarter)

MATHEMATICS (Three hours and a quarter) MATHEMATICS (Three hours ad a quarter) (The first fiftee miutes of the eamiatio are for readig the paper oly. Cadidates must NOT start writig durig this time.) Aswer Questio from Sectio A ad questios from

More information

Directional Duality Theory

Directional Duality Theory Suther Illiis Uiversity Carbdale OpeSIUC Discussi Papers Departmet f Ecmics 2004 Directial Duality Thery Daiel Primt Suther Illiis Uiversity Carbdale Rlf Fare Oreg State Uiversity Fllw this ad additial

More information

RMO Sample Paper 1 Solutions :

RMO Sample Paper 1 Solutions : RMO Sample Paper Slutis :. The umber f arragemets withut ay restricti = 9! 3!3!3! The umber f arragemets with ly e set f the csecutive 3 letters = The umber f arragemets with ly tw sets f the csecutive

More information

Exam #1. A. Answer any 1 of the following 2 questions. CEE 371 October 8, Please grade the following questions: 1 or 2

Exam #1. A. Answer any 1 of the following 2 questions. CEE 371 October 8, Please grade the following questions: 1 or 2 CEE 371 Octber 8, 2009 Exam #1 Clsed Bk, ne sheet f ntes allwed Please answer ne questin frm the first tw, ne frm the secnd tw and ne frm the last three. The ttal ptential number f pints is 100. Shw all

More information

Markov processes and the Kolmogorov equations

Markov processes and the Kolmogorov equations Chapter 6 Markv prcesses ad the Klmgrv equatis 6. Stchastic Differetial Equatis Csider the stchastic differetial equati: dx(t) =a(t X(t)) dt + (t X(t)) db(t): (SDE) Here a(t x) ad (t x) are give fuctis,

More information

Mean residual life of coherent systems consisting of multiple types of dependent components

Mean residual life of coherent systems consisting of multiple types of dependent components Mea residual life f cheret systems csistig f multiple types f depedet cmpets Serka Eryilmaz, Frak P.A. Cle y ad Tahai Cle-Maturi z February 20, 208 Abstract Mea residual life is a useful dyamic characteristic

More information

Experimental and Theoretical Investigations of PAN Molecular Weight Increase in Precipitation Polymerization as a Function of H 2 O/DMSO Ratio

Experimental and Theoretical Investigations of PAN Molecular Weight Increase in Precipitation Polymerization as a Function of H 2 O/DMSO Ratio Carb Letters Vl., N. March 00 pp. -7 Experimetal ad Theretical Ivestigatis f PAN Mlecular Weight Icrease i Precipitati Plymerizati as a ucti f H O/DMSO Rati Jig Zhag, egjig Bu, Ygqiag Dai, Liwei Xue, Zhixia

More information

Sections 15.1 to 15.12, 16.1 and 16.2 of the textbook (Robbins-Miller) cover the materials required for this topic.

Sections 15.1 to 15.12, 16.1 and 16.2 of the textbook (Robbins-Miller) cover the materials required for this topic. Tpic : AC Fundamentals, Sinusidal Wavefrm, and Phasrs Sectins 5. t 5., 6. and 6. f the textbk (Rbbins-Miller) cver the materials required fr this tpic.. Wavefrms in electrical systems are current r vltage

More information

Photon Scanning Tunneling Microscope: Detection of Evanescent Waves

Photon Scanning Tunneling Microscope: Detection of Evanescent Waves Photo Scaig Tuelig Microscope: Detectio of Evaescet Waves N. Aderso, J. DeGroote, ad M. A. Ladau Istitute of Optics, Uiversity of Rochester, Rochester NY 460 Opt59 Dec 003 Abstract: We report the formatio

More information

OP AMP CHARACTERISTICS

OP AMP CHARACTERISTICS O AM CHAACTESTCS Static p amp limitatins EFEENCE: Chapter 5 textbk (ESS) EOS CAUSED BY THE NUT BAS CUENT AND THE NUT OFFSET CUENT Op Amp t functin shuld have fr the input terminals a DC path thrugh which

More information

Analysis Methods for Slab Waveguides

Analysis Methods for Slab Waveguides Aalsis Methods for Slab Waveguides Maxwell s Equatios ad Wave Equatios Aaltical Methods for Waveguide Aalsis: Marcatilis Method Simple Effective Idex Method Numerical Methods for Waveguide Aalsis: Fiite-Elemet

More information

ALE 26. Equilibria for Cell Reactions. What happens to the cell potential as the reaction proceeds over time?

ALE 26. Equilibria for Cell Reactions. What happens to the cell potential as the reaction proceeds over time? Name Chem 163 Secti: Team Number: AL 26. quilibria fr Cell Reactis (Referece: 21.4 Silberberg 5 th editi) What happes t the ptetial as the reacti prceeds ver time? The Mdel: Basis fr the Nerst quati Previusly,

More information

SIMULTANEOUS AJ AND LPD EVALUATIONS FOR SECURE COMMUNICATION

SIMULTANEOUS AJ AND LPD EVALUATIONS FOR SECURE COMMUNICATION SIMULTANEOUS AJ AND LPD EVALUATIONS FOR SECURE COMMUNICATION Mu-Kig Tsay ad Chie-Hsig Lia Departmet f Cmmuicati Egieerig, Natial Cetral Uiversity, Taiwa (ROC) ABSTRACT I this paper, a systematic apprach

More information

Electric Current and Resistance

Electric Current and Resistance Electric Current and Resistance Electric Current Electric current is the rate f flw f charge thrugh sme regin f space The SI unit f current is the ampere (A) 1 A = 1 C / s The symbl fr electric current

More information

ANALOG FILTERS. C. Sauriol. Algonquin College Ottawa, Ontario

ANALOG FILTERS. C. Sauriol. Algonquin College Ottawa, Ontario LOG ILT By. auril lgqui llege Ottawa, Otari ev. March 4, 003 TBL O OTT alg ilters TIO PI ILT. irst-rder lw-pass filter- -4. irst-rder high-pass filter- 4-6 3. ecd-rder lw-pass filter- 6-4. ecd-rder bad-pass

More information

Higher Mathematics Booklet CONTENTS

Higher Mathematics Booklet CONTENTS Higher Mathematics Bklet CONTENTS Frmula List Item Pages The Straight Line Hmewrk The Straight Line Hmewrk Functins Hmewrk 3 Functins Hmewrk 4 Recurrence Relatins Hmewrk 5 Differentiatin Hmewrk 6 Differentiatin

More information

Analysis of a Positive Output Super-Lift Luo Boost Converter

Analysis of a Positive Output Super-Lift Luo Boost Converter Ausha eade et al. t. Jural f Egeerg esearch ad Applicats SSN: 8-96, l. 6, ssue, (Part - 5) February 06, pp.7-78 ESEACH ACE www.ijera.cm OPEN ACCESS Aalys f a Psitive Output Super-ift u Bst Cverter Ausha

More information

Chapter 2 Feedback Control Theory Continued

Chapter 2 Feedback Control Theory Continued Chapter Feedback Cotrol Theor Cotiued. Itroductio I the previous chapter, the respose characteristic of simple first ad secod order trasfer fuctios were studied. It was show that first order trasfer fuctio,

More information

Free Space Optical Wireless Communications under Turbulence Channel Effect

Free Space Optical Wireless Communications under Turbulence Channel Effect IOSR Joural of Electroics ad Commuicatio Egieerig (IOSR-JECE) e-issn: 78-834,p- ISSN: 78-8735.Volume 9, Issue 3, Ver. III (May - Ju. 014), PP 01-08 Free Space Optical Wireless Commuicatios uder Turbulece

More information

, the random variable. and a sample size over the y-values 0:1:10.

, the random variable. and a sample size over the y-values 0:1:10. Lecture 3 (4//9) 000 HW PROBLEM 3(5pts) The estimatr i (c) f PROBLEM, p 000, where { } ~ iid bimial(,, is 000 e f the mst ppular statistics It is the estimatr f the ppulati prprti I PROBLEM we used simulatis

More information