Using Optical Diagnostics with Sub-Nanosecond Time Resolution
|
|
- Blanche Logan
- 6 years ago
- Views:
Transcription
1 The Ohio Se Universiy Nonequilibrium Thermodynmics Lborory Sudies of Fs Ionizion Wve Dischrge Plsms Using Opicl Dignosics wih Sub-Nnosecond Time Resoluion K. Tkshim, A. Monello, W.R. Lemper, ndi.v.admovich
2 Objecives Genering conrolled, reproducible nsec pulse durion dischrges in plne-o-plne nd xil Fs Ionizion Wve geomeries, in dischrge secion wih ccess for opicl dignosics Mesuremens of FIW speed in wide rnge of pressures P~- orr, nd volge wveforms pek volge, rise ime, pulse repeiion re Developmen nd esing of new, porble psec CARS dignosic sysem Time- nd spilly resolved mesuremens of rpidly vrying elecric field in nsec pulse dischrges plne-o-plne nd FIW by IR -field psec CARS Mesuremens of elecron densiy in nsec pulse dischrges by Thomson scering * * wih luck
3 Single pulse nnosecond dischrge in plne-o-plne p geomery: spilly uniform? The Ohio Se Universiy Nonequilibrium Thermodynmics Lborory Volge, kv Air, P6 orr, ν4 khz Time, nsec Single pulse pulse verge Brodbnd ICCD cmer imges, ge μsec Air, P6 orr, pulse repeiion re Hz
4 Repeiive nnosecond pulse dischrge: effec of residul ionizion on spil uniformiy Volge, kv Cmer ge: µsec - chode Time, μsec node Single pulse ICCD cmer imges in ir from 4 msec burs P6 orr, ν4 khz, pulses in burs, μsec cmer ge Air plsm remins uniform during enire pulse burs P4- orr fer firs - pulses: effec of residul ionizion Sme resul for shor cmer ges down o 4 nsec: jusifies he use of qusi--d pproch
5 ffec of residul ionizion: uniform plsm on nnosecond ime scle The Ohio Se Universiy Nonequilibrium Thermodynmics Lborory Air, P6 orr, ν4 khz, pulse # in he burs Sme resul for shorer cmer ges down o 4 nsec: jusifies he use of qusi--d pproch
6 Nnosecond pulse dischrge plsm / sheh model qusi--d drif-diffusion, ime-dependen quions for elecron nd ion number densiy Poisson equion for he elecric field Nirogen, plne-o-plne dischrge geomery Boh elecrodes covered wih qurz ples Volge pulse: Gussin fi o experimenl wveform chode L plsm sheh node V pek pek pp exp, Vpek kv, 5 nsec l τ L τ ε Townsend ionizion i coefficien i vs. /N: fi o experimenl d; locl kineics only Dielecric ple chrging / plsm shielding: l s l,εε dv pp d l dv gp εl d le ε ε L L [ Γ x, Γ x, ]dx e C d C s R C d Numericl or nlyic soluion: ime-dependen elecron densiy nd elecric field in he plsm nd in he sheh, coupled pulse energy
7 Nnosecond pulse dischrge plsm / sheh model: key processes nd ime scles pp - pplied elecric field Gussin fi o experimenl pulse shpe V pek pek pp exp, Vpek kv, 5 nsec l τ L τ ε ν i - elecron impc ionizion frequency ν c ν s - frequency of dielecric chrging / sheh formion ν RC - RC frequency of he lod fer brekdown plsm / chrged dielecrics / sheh ν i Bp Ap exp - brekdown field pp, τ, pek le μ en l se μ en ν c, ν s l ε L ε εl εl ν i τ 4ln γ / Bp * * - field in he plsm he momen when coupled power peks, ν RC ν i R C ln plsm lod ν i * / ν i 3Bp ν i, γ, exp,, c s ξ ξ ν ν ln * * / 3
8 Nnosecond pulse dischrge plsm / sheh model: key resuls * pp : elecric field in he plsm ey esu s,, exp * * p pp i pp p ξ ξ ν γ RC pp p ν, mx & [ ], exp * * > i pp ξ ξ ν ξ ξ ξ RC [ ], l l l L l l l L pp s s s s p pp pp s ε s : elecric field in he sheh ln n n l s is s s ν μ l s : sedy se sheh hickness s s ε ε n e : elecron densiy in he plsm n n n n n n p p ln ln, ln / / γ γ γ
9 Anlyic nd numericl soluions: lecric field in he plsm nd in he sheh, kv/cm 87 nsec 88 nsec 89 nsec. sheh x, cm plsm 9 nsec 9 nsec Rpid field drop in he plsm fer brekdown Dominn effec: plsm shielding by chrging dielecric ples, sheh formion Sedy-se elecron densiy fer shielding n e ~ cm -3 Sedy-se sheh hickness / plsm hickness << Uniform field in he plsm Anlyic nd numericl soluions: excellen greemen n e, cm nsec 88.5 nsec sheh plsm 9 nsec 88 nsec 86 nsec 8 nsec x, cm Plsm elecric field, kv/cm numericl model pplied volge nlyic soluion brekdown V pp /Ll/ε shielded plsm Time, nsec lecron densiy, cm brekdown shielded plsm numericl model nlyic soluion Time, nsec
10 Anlyic nd numericl soluions: lecron densiy in he plsm nd coupled power Power densiy, kw/cm 3 5. numericl model nlyic soluion. 4 3 brekdown V pp /Ll/ε shielded plsm 8 9 Time, nsec Coupled pulse energy, mj P * 6 orr, V pek kv Numericl, w/o sheh Numericl, wih sheh Anlyic soluion Iniil elecron densiy, cm -3 Q ol Qbrek Qfer Clod V pek V V pek ν RC π τ pulse Mos of he power coupled during brekdown pulse, Q / fer Q brek ~ ν RC τ pulse ~. Coupled pulse energy scles s he number densiy, cn be incresed by reducing τ pulse Pulse energies in N nd ir re lmos he sme: chmen insignificn shor pulse durions Anlyic nd numericl soluions: excellen greemen Good greemen wih pulse energy inferred from O om mesuremens by Two-Phoon LIF
11 Fs Ionizion Wve FIW dischrge Tes secion schemic The Ohio Se Universiy Nonequilibrium Thermodynmics Lborory Air, P orr, U pek 6 kv ν khz, L cm
12 Wve propgion velociy ~ 4 cm/nsec mesured by cpciive probes x x cm Vol ge [kv] 5 5 4cm cm 8cm Time [ns]
13 Previous FIW dischrge experimens Moscow Insiue of Physics nd Technology A. Srikovskii, S. Srikovsky e l. Arrivl ime nd mpliude of fs ionizion wve in nirogen, P4 orr
14 Kineic modeling of FIW propgion qusi--d, long wvelengh pproximion The Ohio Se Universiy Nonequilibrium Thermodynmics Lborory n e, cm -3 3 nsec Spce chrge, nc nsec 3.6 nsec 4 3 nsec nsec 3.6 nsec , kv/cm 5 5 nsec x, cm nsec 3.6 nsec x, cm x, cm y << x Nirogen, P orr, U pek 5 kv Chnnel heigh cm, elecrode gp cm Boh wve speed nd pek elecric field decrese long he lengh, u-4 cm/nsec Kineic model needs o incorpore full Bolzmnn equion, non-locl kineics effecs. Collborion wih modeling expers welcome!
15 IR -Field nsec CARS schemic nd mesuremen region The Ohio Se Universiy Nonequilibrium Thermodynmics Lborory 473nm Dichroic Mirrors InSb IR LP Filer ωs ω P ωas ω P 476nm BP Filer Focusing Lens Bem Dump CF Lens IR Dichroic Mirror Δv CARS nergy Level Digrm Specromeer Cmer Dely Ph YAG Brodbnd Tunble Dye Lser 5mm CF Lens 5mm Lens 53 nm 67 nm Field Mesuremen Volume Volge CARS Genered Along ~ mm Line Segmen Deermined using scnning microscope slide nd NR bckground Non-Resonn CARS Signl vs Axil Locion Relive o Nominl Wis Posiion mm
16 Preliminry rw IR nsec CARS d elecric field mesured beween wo plne elecrodes in mospheric ir, no brekdown The Ohio Se Universiy Nonequilibrium Thermodynmics Lborory verged over 3 pulses verged over 8 pulses
17 Overview of new psec CARS sysem The Ohio Se Universiy Nonequilibrium Thermodynmics Lborory Dely Ph kspl Nd:YAG lser Hz, ~5 psec pulses 5 mj per pulse 53 nm From Specromeer Modeless Psec Dye Lser Brodbnd 67 nm ~ 6% conversion efficiency
18 Schemic of psec dye lser The Ohio Se Universiy Nonequilibrium Thermodynmics Lborory Thin Film Polrizer reflec ~9% λ/ Pump λ/ Reflecing bem ou Bem splier prism Bem splier ~5:5 ~8: HR HR Bem dumps 4 mm sphericl lens AR HR 3 Cylindricl lens ~ mm AR Cylindricl lens ~5 mm AR RA prism Sokes bem ou oscillor cell iris pre-mp cell mplifier cell 6 mm lens
19 Porble, brodbnd psec CARS dignosic sysem The Ohio Se Universiy Nonequilibrium Thermodynmics Lborory
20 Firs sensiiviy es of psec CARS: Deecing N nd CO in n opicl bsorpion cell The Ohio Se Universiy Nonequilibrium Thermodynmics Lborory N v N v N ouside COv COv Mos of CARS signl comes from inside he cell -3 sho signl ccumulion Blue: 8 orr CO, 74 orr N Red: 9 orr CO, orr Ar Cpble of deecing O Δ genered in elecric dischrges pril pressure ~ orr Nex sensiiviy es: king CARS specr of N -CO mixure vibrionlly pumped by c.w. CO lser
21 Here is wh we expec o see nd more: Sponneous Rmn Specr in CO/N 4/96, P4 orr. Relive populion N.- CO, experimen T v 35 K N, experimen T v K CO, clculion T v 53 K N, clculion T v 7 K v39.- CO Wvelengh, nm Vibrionl qunum number Lser power: 5 W, T 5 K 5 vibrionl levels of N, 4 vibrionl levels of CO signl verging over few hundred pulses
22 Work in Progress / Technicl Issues The Ohio Se Universiy Nonequilibrium Thermodynmics Lborory New FIW dischrge secion sill in glss shop Need n IR deecor / -D deecor rry wih shor response ime ~ nsec Need o deermine sensiiviy limi low pressures nd elecric field Need o synchronize high volge nsec pulses nd CARS lser pulses nd conrol pulse jier ffec of MI noise from he pulser on CARS sysem elecronics ye o be deermined
S Radio transmission and network access Exercise 1-2
S-7.330 Rdio rnsmission nd nework ccess Exercise 1 - P1 In four-symbol digil sysem wih eqully probble symbols he pulses in he figure re used in rnsmission over AWGN-chnnel. s () s () s () s () 1 3 4 )
More informationThink of the Relationship Between Time and Space Again
Repor nd Opinion, 1(3),009 hp://wwwsciencepubne sciencepub@gmilcom Think of he Relionship Beween Time nd Spce Agin Yng F-cheng Compny of Ruid Cenre in Xinjing 15 Hongxing Sree, Klmyi, Xingjing 834000,
More informationUltrafast Spectroscopy
IPT544000 Seleced Toics in Ulrfs Oics Ulrfs Secroscoy Chen-Bin Robin Hung Insiue of Phoonics Technologies Nionl Tsing Hu Universiy, Tiwnn Good references: Good references: P. Hnnford, Femosecond Lser Secroscoy
More informationVersion 001 test-1 swinney (57010) 1. is constant at m/s.
Version 001 es-1 swinne (57010) 1 This prin-ou should hve 20 quesions. Muliple-choice quesions m coninue on he nex column or pge find ll choices before nswering. CubeUniVec1x76 001 10.0 poins Acubeis1.4fee
More informationA Kalman filtering simulation
A Klmn filering simulion The performnce of Klmn filering hs been esed on he bsis of wo differen dynmicl models, ssuming eiher moion wih consn elociy or wih consn ccelerion. The former is epeced o beer
More informationSOME USEFUL MATHEMATICS
SOME USEFU MAHEMAICS SOME USEFU MAHEMAICS I is esy o mesure n preic he behvior of n elecricl circui h conins only c volges n currens. However, mos useful elecricl signls h crry informion vry wih ime. Since
More informationAverage & instantaneous velocity and acceleration Motion with constant acceleration
Physics 7: Lecure Reminders Discussion nd Lb secions sr meeing ne week Fill ou Pink dd/drop form if you need o swich o differen secion h is FULL. Do i TODAY. Homework Ch. : 5, 7,, 3,, nd 6 Ch.: 6,, 3 Submission
More informationMATH 124 AND 125 FINAL EXAM REVIEW PACKET (Revised spring 2008)
MATH 14 AND 15 FINAL EXAM REVIEW PACKET (Revised spring 8) The following quesions cn be used s review for Mh 14/ 15 These quesions re no cul smples of quesions h will pper on he finl em, bu hey will provide
More informationDiagnostics for Single Ultrashort Laser Pulses using Transient-Grating Frequency Resolved Optical Gating (FROG)
Dignosics for Single Ulrshor Lser Pulses using Trnsien-Gring Frequency Resolved Opicl Ging (FROG) Diplom pper by Anders Sjögren Lund Repors on Aomic Physics, LRAP-9 Lund, Februry 998 Absrc The subjec
More informationPHYSICS 1210 Exam 1 University of Wyoming 14 February points
PHYSICS 1210 Em 1 Uniersiy of Wyoming 14 Februry 2013 150 poins This es is open-noe nd closed-book. Clculors re permied bu compuers re no. No collborion, consulion, or communicion wih oher people (oher
More informationEXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A SECOND-ORDER ITERATIVE BOUNDARY-VALUE PROBLEM
Elecronic Journl of Differenil Equions, Vol. 208 (208), No. 50, pp. 6. ISSN: 072-669. URL: hp://ejde.mh.xse.edu or hp://ejde.mh.un.edu EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A SECOND-ORDER ITERATIVE
More informationECE Microwave Engineering. Fall Prof. David R. Jackson Dept. of ECE. Notes 10. Waveguides Part 7: Transverse Equivalent Network (TEN)
EE 537-635 Microwve Engineering Fll 7 Prof. Dvid R. Jcson Dep. of EE Noes Wveguides Pr 7: Trnsverse Equivlen Newor (N) Wveguide Trnsmission Line Model Our gol is o come up wih rnsmission line model for
More information2D Motion WS. A horizontally launched projectile s initial vertical velocity is zero. Solve the following problems with this information.
Nme D Moion WS The equions of moion h rele o projeciles were discussed in he Projecile Moion Anlsis Acii. ou found h projecile moes wih consn eloci in he horizonl direcion nd consn ccelerion in he ericl
More information6. Gas dynamics. Ideal gases Speed of infinitesimal disturbances in still gas
6. Gs dynmics Dr. Gergely Krisóf De. of Fluid echnics, BE Februry, 009. Seed of infiniesiml disurbnces in sill gs dv d, dv d, Coninuiy: ( dv)( ) dv omenum r r heorem: ( ( dv) ) d 3443 4 q m dv d dv llievi
More informationThermal neutron self-shielding factor in foils: a universal curve
Proceedings of he Inernionl Conference on Reserch Recor Uilizion, Sfey, Decommissioning, Fuel nd Wse Mngemen (Snigo, Chile, -4 Nov.3) Pper IAEA-CN-/, IAEA Proceedings Series, Vienn, 5 Therml neuron self-shielding
More informationHORIZONTAL POSITION OPTIMAL SOLUTION DETERMINATION FOR THE SATELLITE LASER RANGING SLOPE MODEL
HOIZONAL POSIION OPIMAL SOLUION DEEMINAION FO HE SAELLIE LASE ANGING SLOPE MODEL Yu Wng,* Yu Ai b Yu Hu b enli Wng b Xi n Surveying nd Mpping Insiue, No. 1 Middle Yn od, Xi n, Chin, 710054-640677@qq.com
More informationOutline cont. 5. History of dark matter 6. Summary of galaxy properties 7. Numerical simulations 8. Semi-analytic modeling of galaxy formation
Ouline Pr II. Srucure Formion: Dr Mer 5. Liner growh of flucuions by grviionl Insbiliy 6. Sisics of flucuions: iniil flucuions nd he cold-dr-mer scenrio 7. Nonliner growh of srucure: sphericl collpse,
More informationToday s summary. MIT 2.71/2.710 Optics 10/24/05 wk8-a-1
Tody s summry Multiple bem interferometers: Fbry-Perot resontors Stokes reltionships Trnsmission nd reflection coefficients for dielectric slb Opticl resonnce Principles of lsers Coherence: sptil / temporl
More informationECE Microwave Engineering
EE 537-635 Microwve Engineering Adped from noes y Prof. Jeffery T. Willims Fll 8 Prof. Dvid R. Jcson Dep. of EE Noes Wveguiding Srucures Pr 7: Trnsverse Equivlen Newor (N) Wveguide Trnsmission Line Model
More informationCalculation method of flux measurements by static chambers
lculion mehod of flux mesuremens by sic chmbers P.S. Kroon Presened he NiroEurope Workshop, 15h - 17h December 28, openhgen, Denmrk EN-L--9-11 December 28 lculion mehod of flux mesuremens by sic chmbers
More informationRefocusing t. Small Tip Angle Example. Small Tip Angle Example. Bioengineering 280A Principles of Biomedical Imaging. Fall Quarter 2010 MRI Lecture 5
Bioengineering 280A Principles of Biomedical Imaging Fall Quarer 2010 MRI Lecure 5 RF N random seps of lengh d Refocusing ' M xy (,) = jm 0 "B 1 ()exp( jk(,))d %& 100 seps This has he 2D form random of
More information0 for t < 0 1 for t > 0
8.0 Sep nd del funcions Auhor: Jeremy Orloff The uni Sep Funcion We define he uni sep funcion by u() = 0 for < 0 for > 0 I is clled he uni sep funcion becuse i kes uni sep = 0. I is someimes clled he Heviside
More informationMagnetostatics Bar Magnet. Magnetostatics Oersted s Experiment
Mgneosics Br Mgne As fr bck s 4500 yers go, he Chinese discovered h cerin ypes of iron ore could rc ech oher nd cerin mels. Iron filings "mp" of br mgne s field Crefully suspended slivers of his mel were
More informationMotion. Part 2: Constant Acceleration. Acceleration. October Lab Physics. Ms. Levine 1. Acceleration. Acceleration. Units for Acceleration.
Moion Accelerion Pr : Consn Accelerion Accelerion Accelerion Accelerion is he re of chnge of velociy. = v - vo = Δv Δ ccelerion = = v - vo chnge of velociy elpsed ime Accelerion is vecor, lhough in one-dimensionl
More informationModule 3: The Damped Oscillator-II Lecture 3: The Damped Oscillator-II
Module 3: The Damped Oscillaor-II Lecure 3: The Damped Oscillaor-II 3. Over-damped Oscillaions. This refers o he siuaion where β > ω (3.) The wo roos are and α = β + α 2 = β β 2 ω 2 = (3.2) β 2 ω 2 = 2
More informationENGR 1990 Engineering Mathematics The Integral of a Function as a Function
ENGR 1990 Engineering Mhemics The Inegrl of Funcion s Funcion Previously, we lerned how o esime he inegrl of funcion f( ) over some inervl y dding he res of finie se of rpezoids h represen he re under
More informationToday in Physics 218: radiation reaction
Today in Physics 18: radiaion reacion Radiaion reacion The Abraham-Lorenz formula; radiaion reacion force The pah of he elecron in oday s firs example (radial decay grealy exaggeraed) 6 March 004 Physics
More informationPhysics 2A HW #3 Solutions
Chper 3 Focus on Conceps: 3, 4, 6, 9 Problems: 9, 9, 3, 41, 66, 7, 75, 77 Phsics A HW #3 Soluions Focus On Conceps 3-3 (c) The ccelerion due o grvi is he sme for boh blls, despie he fc h he hve differen
More informationof Plasma Assisted Combustion
Fundamental Mechanisms, Predictive Modeling, and Novel Aerospace Applications of Plasma Assisted Combustion Overview of OSU research plan Walter Lempert, Igor Adamovich, J. William Rich, and Jeffrey Sutton
More informationUNIVERSITY OF CALIFORNIA College of Engineering Department of Electrical Engineering and Computer Sciences EECS 121 FINAL EXAM
Name: UNIVERSIY OF CALIFORNIA College of Engineering Deparmen of Elecrical Engineering and Compuer Sciences Professor David se EECS 121 FINAL EXAM 21 May 1997, 5:00-8:00 p.m. Please wrie answers on blank
More informationCHANGE IN THE RESISTANCE OF THE SEMICONDUCTOR IN THE VARIABLE DEFORMATION FIELD
CHANGE IN THE RESISTANCE OF THE SEMICONDUCTOR IN THE VARIABLE DEFORMATION FIELD M. AHMETOGLU (AFRAILOV) 1, G. GULYAMOV 2, S. H. SHAMIRZAEV 2, A. G. GULYAMOV 2, M. G. DADAMIRZAEV 2, N. APRAILOV 2, F. KOÇAK
More informationψ(t) = V x (0)V x (t)
.93 Home Work Se No. (Professor Sow-Hsin Chen Spring Term 5. Due March 7, 5. This problem concerns calculaions of analyical expressions for he self-inermediae scaering funcion (ISF of he es paricle in
More informationMulti-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 informationHall 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 informationSeptember 20 Homework Solutions
College of Engineering nd Compuer Science Mechnicl Engineering Deprmen Mechnicl Engineering A Seminr in Engineering Anlysis Fll 7 Number 66 Insrucor: Lrry Creo Sepember Homework Soluions Find he specrum
More informationObservability of flow dependent structure functions and their use in data assimilation
Oserviliy of flow dependen srucure funcions nd heir use in d ssimilion Pierre Guhier nd Crisin Lupu Collorion wih Séphne Lroche, Mrk Buehner nd Ahmed Mhidji (Env. Cnd) 3rd meeing of he HORPEX DAOS-WG Monrél
More information(b) 10 yr. (b) 13 m. 1.6 m s, m s m s (c) 13.1 s. 32. (a) 20.0 s (b) No, the minimum distance to stop = 1.00 km. 1.
Answers o Een Numbered Problems Chper. () 7 m s, 6 m s (b) 8 5 yr 4.. m ih 6. () 5. m s (b).5 m s (c).5 m s (d) 3.33 m s (e) 8. ().3 min (b) 64 mi..3 h. ().3 s (b) 3 m 4..8 mi wes of he flgpole 6. (b)
More informationRC, 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 informationLecture 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 informationGEM4 Summer School OpenCourseWare
GEM4 Summer School OpenCourseWare hp://gem4.educommons.ne/ hp://www.gem4.org/ Lecure: Thermal Forces and Brownian Moion by Ju Li. Given Augus 11, 2006 during he GEM4 session a MIT in Cambridge, MA. Please
More informationChapter 1 Electric Circuit Variables
Chaper 1 Elecric Circui Variables Exercises Exercise 1.2-1 Find he charge ha has enered an elemen by ime when i = 8 2 4 A, 0. Assume q() = 0 for < 0. 8 3 2 Answer: q () = 2 C 3 () 2 i = 8 4 A 2 8 3 2 8
More information1.0 Electrical Systems
. Elecricl Sysems The ypes of dynmicl sysems we will e sudying cn e modeled in erms of lgeric equions, differenil equions, or inegrl equions. We will egin y looking fmilir mhemicl models of idel resisors,
More informationThe 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 informationProposal of atomic clock in motion: Time in moving clock
Proposal of aomic clock in moion: Time in moving clock Masanori Sao Honda Elecronics Co., d., 0 Oyamazuka, Oiwa-cho, Toyohashi, ichi 441-3193, Japan E-mail: msao@honda-el.co.jp bsrac: The ime in an aomic
More informationP441 Analytical Mechanics - I. Coupled Oscillators. c Alex R. Dzierba
Lecure 3 Mondy - Deceber 5, 005 Wrien or ls upded: Deceber 3, 005 P44 Anlyicl Mechnics - I oupled Oscillors c Alex R. Dzierb oupled oscillors - rix echnique In Figure we show n exple of wo coupled oscillors,
More informationModule 2 F c i k c s la l w a s o s f dif di fusi s o i n
Module Fick s laws of diffusion Fick s laws of diffusion and hin film soluion Adolf Fick (1855) proposed: d J α d d d J (mole/m s) flu (m /s) diffusion coefficien and (mole/m 3 ) concenraion of ions, aoms
More informationCollision Detection and Bouncing
Collision Deecion nd Bouncing Collisions re Hndled in Two Prs. Deecing he collision Mike Biley mj@cs.oregonse.edu. Hndling he physics of he collision collision-ouncing.ppx If You re Lucky, You Cn Deec
More informationSoliton Scattering on the External Potential in Weakly Nonlocal Nonlinear Media
Mlysin Journl of Mhemicl Sciences 1(S) Februry: 219 226 (216) Specil Issue: The 3 rd Inernionl Conference on Mhemicl Applicions in Engineering 214 (ICMAE 14) MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES
More informationA new model for limit order book dynamics
Anewmodelforlimiorderbookdynmics JeffreyR.Russell UniversiyofChicgo,GrdueSchoolofBusiness TejinKim UniversiyofChicgo,DeprmenofSisics Absrc:Thispperproposesnewmodelforlimiorderbookdynmics.Thelimiorderbookconsiss
More informationExperimental characterization of energy transfer in nonequilibrium plasmas and high-speed flows using optical diagnostics
28 th Rarefied Gas Dynamics Conference Zaragoza, Spain, July 9-13, 12 Experimental characterization of energy transfer in nonequilibrium plasmas and high-speed flows using optical diagnostics Igor V. Adamovich,
More informationSpintronics of Nanomechanical Shuttle
* Spinronics of Nanomechanical Shule Rober Shekher In collaboraion wih: D.Fedores,. Gorelik, M. Jonson Göeborg Universiy / Chalmers Universiy of Technology Elecromechanics of Coulomb Blockade srucures
More informationLab 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 information1. VELOCITY AND ACCELERATION
1. VELOCITY AND ACCELERATION 1.1 Kinemaics Equaions s = u + 1 a and s = v 1 a s = 1 (u + v) v = u + as 1. Displacemen-Time Graph Gradien = speed 1.3 Velociy-Time Graph Gradien = acceleraion Area under
More informationThe solution is often represented as a vector: 2xI + 4X2 + 2X3 + 4X4 + 2X5 = 4 2xI + 4X2 + 3X3 + 3X4 + 3X5 = 4. 3xI + 6X2 + 6X3 + 3X4 + 6X5 = 6.
[~ o o :- o o ill] i 1. Mrices, Vecors, nd Guss-Jordn Eliminion 1 x y = = - z= The soluion is ofen represened s vecor: n his exmple, he process of eliminion works very smoohly. We cn elimine ll enries
More informationMTH 146 Class 11 Notes
8.- Are of Surfce of Revoluion MTH 6 Clss Noes Suppose we wish o revolve curve C round n is nd find he surfce re of he resuling solid. Suppose f( ) is nonnegive funcion wih coninuous firs derivive on he
More informationNavneet Saini, Mayank Goyal, Vishal Bansal (2013); Term Project AML310; Indian Institute of Technology Delhi
Creep in Viscoelasic Subsances Numerical mehods o calculae he coefficiens of he Prony equaion using creep es daa and Herediary Inegrals Mehod Navnee Saini, Mayank Goyal, Vishal Bansal (23); Term Projec
More informationMath 2214 Solution Test 1A Spring 2016
Mah 14 Soluion Tes 1A Spring 016 sec Problem 1: Wha is he larges -inerval for which ( 4) = has a guaraneed + unique soluion for iniial value (-1) = 3 according o he Exisence Uniqueness Theorem? Soluion
More informationPhysics 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 informationPHYSICS 220 Lecture 02 Motion, Forces, and Newton s Laws Textbook Sections
PHYSICS 220 Lecure 02 Moion, Forces, and Newon s Laws Texbook Secions 2.2-2.4 Lecure 2 Purdue Universiy, Physics 220 1 Overview Las Lecure Unis Scienific Noaion Significan Figures Moion Displacemen: Δx
More informationPhysics 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 informationI. OBJECTIVE OF THE EXPERIMENT.
I. OBJECTIVE OF THE EXPERIMENT. Swissmero raels a high speeds hrough a unnel a low pressure. I will hereore undergo ricion ha can be due o: ) Viscosiy o gas (c. "Viscosiy o gas" eperimen) ) The air in
More informationStabilization of a stimulated Brillouin fiber ring laser by strong pump modulation
Silizion of simuled Brillouin fier ring lser y srong pump modulion Jen Boineu, Clude Leycurs, Crlos Mones, Eric Picholle To cie his version: Jen Boineu, Clude Leycurs, Crlos Mones, Eric Picholle. Silizion
More informationAP CALCULUS AB 2003 SCORING GUIDELINES (Form B)
SCORING GUIDELINES (Form B) Quesion A blood vessel is 6 millimeers (mm) long Disance wih circular cross secions of varying diameer. x (mm) 6 8 4 6 Diameer The able above gives he measuremens of he B(x)
More informationInventory Control of Perishable Items in a Two-Echelon Supply Chain
Journal of Indusrial Engineering, Universiy of ehran, Special Issue,, PP. 69-77 69 Invenory Conrol of Perishable Iems in a wo-echelon Supply Chain Fariborz Jolai *, Elmira Gheisariha and Farnaz Nojavan
More informationNEWTON S SECOND LAW OF MOTION
Course and Secion Dae Names NEWTON S SECOND LAW OF MOTION The acceleraion of an objec is defined as he rae of change of elociy. If he elociy changes by an amoun in a ime, hen he aerage acceleraion during
More informationPolymer Engineering (MM3POE)
Polymer Engineering (MM3POE) VISCOELASTICITY hp://www.noingham.ac.uk/~eazacl/mm3poe Viscoelasiciy 1 Conens Wha is viscoelasiciy? Fundamenals Creep & creep recovery Sress relaxaion Modelling viscoelasic
More informationM r. d 2. R t a M. Structural Mechanics Section. Exam CT5141 Theory of Elasticity Friday 31 October 2003, 9:00 12:00 hours. Problem 1 (3 points)
Delf Universiy of Technology Fculy of Civil Engineering nd Geosciences Srucurl echnics Secion Wrie your nme nd sudy numer he op righ-hnd of your work. Exm CT5 Theory of Elsiciy Fridy Ocoer 00, 9:00 :00
More informationIntroduction to Probability and Statistics Slides 4 Chapter 4
Inroducion o Probabiliy and Saisics Slides 4 Chaper 4 Ammar M. Sarhan, asarhan@mahsa.dal.ca Deparmen of Mahemaics and Saisics, Dalhousie Universiy Fall Semeser 8 Dr. Ammar Sarhan Chaper 4 Coninuous Random
More information8.022 (E&M) Lecture 9
8.0 (E&M) Lecure 9 Topics: circuis Thevenin s heorem Las ime Elecromoive force: How does a baery work and is inernal resisance How o solve simple circuis: Kirchhoff s firs rule: a any node, sum of he currens
More informationA NUMERICAL STUDY ON MULTI-CHAMBER OSCILLATING WATER COLUMNS
Journl of JSCE, Vol. 3, 93-4, 5 A UMERICAL STUDY O MULTI-CAMBER OSCILLATIG WATER COLUMS Pllv KOIRALA, Shuichi AGATA, Ysuk IMAI 3, Tengen MURAKAMI 4 nd Toshiki SETOGUCI 5 Posdocorl Resercher, Insiue of
More informationAP Calculus BC Chapter 10 Part 1 AP Exam Problems
AP Calculus BC Chaper Par AP Eam Problems All problems are NO CALCULATOR unless oherwise indicaed Parameric Curves and Derivaives In he y plane, he graph of he parameric equaions = 5 + and y= for, is a
More informationPhysics 1402: Lecture 22 Today s Agenda
Physics 142: ecure 22 Today s Agenda Announcemens: R - RV - R circuis Homework 6: due nex Wednesday Inducion / A curren Inducion Self-Inducance, R ircuis X X X X X X X X X long solenoid Energy and energy
More informationMotion on a Curve and Curvature
Moion on Cue nd Cuue his uni is bsed on Secions 9. & 9.3, Chpe 9. All ssigned edings nd execises e fom he exbook Objecies: Mke cein h you cn define, nd use in conex, he ems, conceps nd fomuls lised below:
More informationPhysics Worksheet Lesson 4: Linear Motion Section: Name:
Physics Workshee Lesson 4: Liner Moion Secion: Nme: 1. Relie Moion:. All moion is. b. is n rbirry coorine sysem wih reference o which he posiion or moion of somehing is escribe or physicl lws re formule.
More information1. Kinematics I: Position and Velocity
1. Kinemaics I: Posiion and Velociy Inroducion The purpose of his eperimen is o undersand and describe moion. We describe he moion of an objec by specifying is posiion, velociy, and acceleraion. In his
More informationChapter 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 informationCounteranion-Stabilized Titanium(IV) Isopolyoxocationic Clusters Isolated from Water
Supporing Informion for: Counernion-Sbilized Tinium(IV) Isopolyoxocionic Clusers Isoled from Wer Gunyun Zhng, Jie Hou, Mingzhong Li, Chen-Ho Tung nd Yifeng Wng* Key Lborory for Colloid nd Inerfce Chemisry
More informationRESPONSE UNDER A GENERAL PERIODIC FORCE. When the external force F(t) is periodic with periodτ = 2π
RESPONSE UNDER A GENERAL PERIODIC FORCE When he exernl force F() is periodic wih periodτ / ω,i cn be expnded in Fourier series F( ) o α ω α b ω () where τ F( ) ω d, τ,,,... () nd b τ F( ) ω d, τ,,... (3)
More information15. Vector Valued Functions
1. Vecor Valued Funcions Up o his poin, we have presened vecors wih consan componens, for example, 1, and,,4. However, we can allow he componens of a vecor o be funcions of a common variable. For example,
More informationChapter 2. Motion in One-Dimension I
Chaper 2. Moion in One-Dimension I Level : AP Physics Insrucor : Kim 1. Average Rae of Change and Insananeous Velociy To find he average velociy(v ) of a paricle, we need o find he paricle s displacemen
More informationSuggested Practice Problems (set #2) for the Physics Placement Test
Deparmen of Physics College of Ars and Sciences American Universiy of Sharjah (AUS) Fall 014 Suggesed Pracice Problems (se #) for he Physics Placemen Tes This documen conains 5 suggesed problems ha are
More information1. Consider a PSA initially at rest in the beginning of the left-hand end of a long ISS corridor. Assume xo = 0 on the left end of the ISS corridor.
In Eercise 1, use sndrd recngulr Cresin coordine sysem. Le ime be represened long he horizonl is. Assume ll ccelerions nd decelerions re consn. 1. Consider PSA iniilly res in he beginning of he lef-hnd
More information22.615, MHD Theory of Fusion Systems Prof. Freidberg Lecture 9: The High Beta Tokamak
.65, MHD Theory of Fusion Sysems Prof. Freidberg Lecure 9: The High e Tokmk Summry of he Properies of n Ohmic Tokmk. Advnges:. good euilibrium (smll shif) b. good sbiliy ( ) c. good confinemen ( τ nr )
More informationx i v x t a dx dt t x
Physics 3A: Basic Physics I Shoup - Miderm Useful Equaions A y A sin A A A y an A y A A = A i + A y j + A z k A * B = A B cos(θ) A B = A B sin(θ) A * B = A B + A y B y + A z B z A B = (A y B z A z B y
More informationChapter Floating Point Representation
Chaper 01.05 Floaing Poin Represenaion Afer reading his chaper, you should be able o: 1. conver a base- number o a binary floaing poin represenaion,. conver a binary floaing poin number o is equivalen
More informationMOMENTUM CONSERVATION LAW
1 AAST/AEDT AP PHYSICS B: Impulse and Momenum Le us run an experimen: The ball is moving wih a velociy of V o and a force of F is applied on i for he ime inerval of. As he resul he ball s velociy changes
More informationCLASS XI SET A PHYSICS. 1. If and Let. The correct order of % error in. (a) (b) x = y > z (c) x < z < y (d) x > z < y
PHYSICS 1. If and Le. The correc order of % error in (a) (b) x = y > z x < z < y x > z < y. A hollow verical cylinder of radius r and heigh h has a smooh inernal surface. A small paricle is placed in conac
More informationModeling Economic Time Series with Stochastic Linear Difference Equations
A. Thiemer, SLDG.mcd, 6..6 FH-Kiel Universiy of Applied Sciences Prof. Dr. Andreas Thiemer e-mail: andreas.hiemer@fh-kiel.de Modeling Economic Time Series wih Sochasic Linear Difference Equaions Summary:
More information() t. () t r () t or v. ( t) () () ( ) = ( ) or ( ) () () () t or dv () () Section 10.4 Motion in Space: Velocity and Acceleration
Secion 1.4 Moion in Spce: Velociy nd Acceleion We e going o dive lile deepe ino somehing we ve ledy inoduced, nmely () nd (). Discuss wih you neighbo he elionships beween posiion, velociy nd cceleion you
More informationLECTURE 5. is defined by the position vectors r, 1. and. The displacement vector (from P 1 to P 2 ) is defined through r and 1.
LECTURE 5 ] DESCRIPTION OF PARTICLE MOTION IN SPACE -The displcemen, veloci nd cceleion in -D moion evel hei veco nue (diecion) houh he cuion h one mus p o hei sin. Thei full veco menin ppes when he picle
More informationCHEMICAL KINETICS: 1. Rate Order Rate law Rate constant Half-life Temperature Dependence
CHEMICL KINETICS: Rae Order Rae law Rae consan Half-life Temperaure Dependence Chemical Reacions Kineics Chemical ineics is he sudy of ime dependence of he change in he concenraion of reacans and producs.
More informationLecture 3: 1-D Kinematics. This Week s Announcements: Class Webpage: visit regularly
Lecure 3: 1-D Kinemics This Week s Announcemens: Clss Webpge: hp://kesrel.nm.edu/~dmeier/phys121/phys121.hml isi regulrly Our TA is Lorrine Bowmn Week 2 Reding: Chper 2 - Gincoli Week 2 Assignmens: Due:
More informationChapter 17 Physics of Nuclear Medicine. (Radioisotopes in Medicine)
(Radioisoopes in Medicine) Naural radioaciviy (Table 17.1) Becquerel (1905 Novel Prize) Curie: radium Alpha ray Nuclei of helium aoms A few cenimeers in air Posiively charges Fixed energy Bea ray or negaron
More informationThe order of reaction is defined as the number of atoms or molecules whose concentration change during the chemical reaction.
www.hechemisryguru.com Re Lw Expression Order of Recion The order of recion is defined s he number of oms or molecules whose concenrion chnge during he chemicl recion. Or The ol number of molecules or
More information555 Timer. Digital Electronics
555 Timer Digial Elecronics This presenaion will Inroduce he 555 Timer. 555 Timer Derive he characerisic equaions for he charging and discharging of a capacior. Presen he equaions for period, frequency,
More informationarxiv: v1 [math.na] 23 Feb 2016
EPJ Web of Conferences will be se by he publisher DOI: will be se by he publisher c Owned by he auhors, published by EDP Sciences, 16 arxiv:163.67v1 [mah.na] 3 Feb 16 Numerical Soluion of a Nonlinear Inegro-Differenial
More informationON 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 informationNonlinear System Modelling: How to Estimate the. Highest Significant Order
IEEE Insrumenion nd Mesuremen Technology Conference nchorge,, US, - My Nonliner Sysem Modelling: ow o Esime he ighes Significn Order Neophyos Chirs, Ceri Evns nd Dvid Rees, Michel Solomou School of Elecronics,
More informationPhysic 231 Lecture 4. Mi it ftd l t. Main points of today s lecture: Example: addition of velocities Trajectories of objects in 2 = =
Mi i fd l Phsic 3 Lecure 4 Min poins of od s lecure: Emple: ddiion of elociies Trjecories of objecs in dimensions: dimensions: g 9.8m/s downwrds ( ) g o g g Emple: A foobll pler runs he pern gien in he
More informationRobust 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