Lecture 8/1. Light-Current characteristics measurements. P ν. P ν =η slope (I- I th ) R 1 R 2 P 1 P 2. η slope ( ) I th ( ) ( )
|
|
|
- Whitney Willa Hamilton
- 5 years ago
- Views:
Transcription
1 Lecure 8/ Ligh-Curren characerisics measuremens ( f +,, laser : Uncoaed ( ( ( ( ( ( 0, ; 0, case A/H : *Special ;, Coaed laser : + + η slope Ι h η slope (- h
2 Lecure 8/ Ligh-Curren characerisics measuremens Calibraed Deecor D V D D D - D ( ; F ( F D D *Curren heaing akes place in CW measuremens T TH ( V + T leads o decrease of a consan S
3 ulsed Ligh-Curren characerisics measuremens Lecure 8/3 Slow phoodeecor Fas phoodeecor τ p τ p D D τ p F D ( D F D ( D Main idea: low duy cycle (DC (DCτ p / means low heaing and device parameers does no change much during measuremens.
4 Lecure 8/4 Box-Car Ligh-Curren characerisics measuremens equired when narrow curren pulses are no available and/or he signal is low F D ( D D momen of measuremen Signal can be averaged over many measuremen evens. Change of he signal parameers during pulse can be revealed.
5 Lecure 8/5 Opical gain specrum measuremens < h Specral signals available from a laser TSE y x - Amplified Sponaneous Emission TSE - True Sponaneous Emission z Opical field inside laser caviy : E Wave vecor : k * Modal gain :g eff ( λ k + j k" g( λ ( λ ΓG( λ α o E 0 π n λ ( x, y [ j( k * z ω ] j
6 Opical gain specrum measuremens: Hakki-aoli mehod Lecure 8/6 nerferomeer Fabri-ero passes only a discree se of frequencies: ligh impinging on inpu mirror λ L m, m,,3... L resonaor loss α c m, m,,3... L n ligh coming from oupu mirror α > 0 Specrum wih low peak o valley raio α ~ 0 Specrum wih high peak o valley raio Specral shape is defined by resonaor qualiy facor. Laser modal gain and resonaor qualiy increase wih pumping. specrum is defined by laser gain and loss.
7 Lecure 8/7 Amplified Sponaneous Emission from a laser face / Eexp(j(k-jg/L E / E ( / Eexp(j(k-jgL ( m/ Eexp(j(k-jgLm L m 0 ( ( j( k jg L m ( j( k jg L *As soon as kπ/λ, (λ (see inerferomeer Fabry-ero * Here g Γ G α i
8 Commens Lecure 8/7a We sar wih elecric field ampliude E inside he caviy a mirror : - / par of i leaves he caviy and / par reflecs back and we have E / refleced. passes he disance L from o and gains phase shif k*. L(k-jg/L. Afer reflecion from we have E( / exp(j(k-jg/l going o. - / par leaves he caviy and / reflecs back. Afer each roundrip from o and back we need o muliply our field ampliude by ( / exp(j(k-jg/l. To find ou he ne ampliude of he elecric field coming from he mirror we mus sum from zero o infiniy over all reflecions. To ge inensiy we need o square he field ampliude. Since ( / exp(j(k-jg/ < he summaion rule for geomeric series can be used. m 0 ( ( j( k jg L m ( j( k jg L *As soon as kπ/λ, (λ (see inerferomeer Fabry-ero
9 Opical gain specrum measuremens: Hakki-aoli mehod Lecure 8/8 ( λ ( ( gl cos( kl + ( gl Log nensiy Wavelengh (µ m g - L ln ( ( gl ( + ( gl L ln + * igh-hand side is equal o modal gain if we redefine g ΓG α i - α m
10 Commens Lecure 8/8a m 0 ( ( j( k jg L ( gl ( cos( kl + j sin( kl ( gl cos( kl j ( gl sin( kl ( j( k jg L ( ( gl cos( kl + ( gl sin( kl ( ( ( gl cos( kl + ( gl sin( kl m ( ( + ( ( gl sin( kl ( gl cos( kl + ( gl cos( kl ( ( gl cos( kl + ( gl
11 cos g ( kl L ln + Commens ( ( gl cos( kl + ( gl ( ( gl ( gl ( gl ( kl ( gl + ( gl ( gl ( gl, i.e. ln( ln L + + ; + cos + gl ln + Lecure 8/8b ( + ( gl Here we used leer g for ΓG-α i, if we reurn o original noaion for modal gain g Γ G α i ln L L ln +
12 Opical gain specrum measuremens: Hakki-aoli mehod Lecure 8/9 elaive Opical ower (db (a ma ma T5 o C Wavelengh (nm emission measured for µmwide 300µm-long λ.3µm elecom laser a wo currens below hreshold. As curren increases, modal gain increases and resonaor qualiy facor improves. Observe he change of he peak o valley raio of Fabri-ero fringes. n he frame of Hakki-aoli approach, opical gain can be deermined for differen pumping condiions. A ma ne modal gain is close o zero, ( ΓG - α 0 Gain is small a ma pumping curren. n longwavelengh limi G 0 and modal gain is equal o modal loss, - α. Modal opical gain (/cm (b T5 o C ma ma Wavelengh (nm 400
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
( ) ( ) if t = t. It must satisfy the identity. So, bulkiness of the unit impulse (hyper)function is equal to 1. The defining characteristic is
UNIT IMPULSE RESPONSE, UNIT STEP RESPONSE, STABILITY. Uni impulse funcion (Dirac dela funcion, dela funcion) rigorously defined is no sricly a funcion, bu disribuion (or measure), precise reamen requires
Observing Fast Molecular Dynamics with a Coherent Raman Oscillator
FRISNO 13 - March 19, 2015 Observing Fas Molecular Dynamics wih a Coheren Raman Oscillaor Igal Aharonovich, Avi Pe er Physics Dep. and BINA cener for nanoechnology, Bar Ilan Universiy ISF Unlocking he
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
Università degli Studi di Roma Tor Vergata Dipartimento di Ingegneria Elettronica. Analogue Electronics. Paolo Colantonio A.A.
Universià degli Sudi di Roma Tor Vergaa Diparimeno di Ingegneria Eleronica Analogue Elecronics Paolo Colanonio A.A. 2015-16 Diode circui analysis The non linearbehaviorofdiodesmakesanalysisdifficul consider
( ) = Q 0. ( ) R = R dq. ( t) = I t
ircuis onceps The addiion of a simple capacior o a circui of resisors allows wo relaed phenomena o occur The observaion ha he ime-dependence of a complex waveform is alered by he circui is referred o as
EECE 301 Signals & Systems Prof. Mark Fowler
EECE 31 Signals & Sysems Prof. Mar Fowler Noe Se #1 C-T Signals: Circuis wih Periodic Sources 1/1 Solving Circuis wih Periodic Sources FS maes i easy o find he response of an RLC circui o a periodic source!
Laplace transfom: t-translation rule , Haynes Miller and Jeremy Orloff
Laplace ransfom: -ranslaion rule 8.03, Haynes Miller and Jeremy Orloff Inroducory example Consider he sysem ẋ + 3x = f(, where f is he inpu and x he response. We know is uni impulse response is 0 for
Proposal 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
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
LAPLACE TRANSFORM AND TRANSFER FUNCTION
CHBE320 LECTURE V LAPLACE TRANSFORM AND TRANSFER FUNCTION Professor Dae Ryook Yang Spring 2018 Dep. of Chemical and Biological Engineering 5-1 Road Map of he Lecure V Laplace Transform and Transfer funcions
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
Voltage/current relationship Stored Energy. RL / RC circuits Steady State / Transient response Natural / Step response
Review Capaciors/Inducors Volage/curren relaionship Sored Energy s Order Circuis RL / RC circuis Seady Sae / Transien response Naural / Sep response EE4 Summer 5: Lecure 5 Insrucor: Ocavian Florescu Lecure
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
8.022 (E&M) Lecture 16
8. (E&M) ecure 16 Topics: Inducors in circuis circuis circuis circuis as ime Our second lecure on elecromagneic inducance 3 ways of creaing emf using Faraday s law: hange area of circui S() hange angle
Polarization Quadrature Interferometer
Laboraor for dapive Opics Rev 1: 5/11/04 UCO Lic Observaor Rev : 9/1/04 Polarizaion Quadraure nerferomeer Donald Gavel, UCSC Laboraor for dapive Opics This memo describes a Mach-Zehnder inerferomeer seup
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.
Some Basic Information about M-S-D Systems
Some Basic Informaion abou M-S-D Sysems 1 Inroducion We wan o give some summary of he facs concerning unforced (homogeneous) and forced (non-homogeneous) models for linear oscillaors governed by second-order,
Pulse Generators. Any of the following calculations may be asked in the midterms/exam.
ulse Generaors ny of he following calculaions may be asked in he miderms/exam.. a) capacior of wha capaciance forms an RC circui of s ime consan wih a 0 MΩ resisor? b) Wha percenage of he iniial volage
Homework-8(1) P8.3-1, 3, 8, 10, 17, 21, 24, 28,29 P8.4-1, 2, 5
Homework-8() P8.3-, 3, 8, 0, 7, 2, 24, 28,29 P8.4-, 2, 5 Secion 8.3: The Response of a Firs Order Circui o a Consan Inpu P 8.3- The circui shown in Figure P 8.3- is a seady sae before he swich closes a
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
8. Basic RL and RC Circuits
8. Basic L and C Circuis This chaper deals wih he soluions of he responses of L and C circuis The analysis of C and L circuis leads o a linear differenial equaion This chaper covers he following opics
THE SINE INTEGRAL. x dt t
THE SINE INTEGRAL As one learns in elemenary calculus, he limi of sin(/ as vanishes is uniy. Furhermore he funcion is even and has an infinie number of zeros locaed a ±n for n1,,3 Is plo looks like his-
Chapter 4 DC converter and DC switch
haper 4 D converer and D swich 4.1 Applicaion - Assumpion Applicaion: D swich: Replace mechanic swiches D converer: in racion drives Assumions: Ideal D sources Ideal Power emiconducor Devices 4.2 D swich
Lecture 13 RC/RL Circuits, Time Dependent Op Amp Circuits
Lecure 13 RC/RL Circuis, Time Dependen Op Amp Circuis RL Circuis The seps involved in solving simple circuis conaining dc sources, resisances, and one energy-sorage elemen (inducance or capaciance) are:
Lecture 2: Optics / C2: Quantum Information and Laser Science
Lecure : Opics / C: Quanum Informaion and Laser Science Ocober 9, 8 1 Fourier analysis This branch of analysis is exremely useful in dealing wih linear sysems (e.g. Maxwell s equaions for he mos par),
Number of modes per unit volume of the cavity per unit frequency interval is given by: Mode Density, N
SMES404 - LASER PHYSCS (LECTURE 5 on /07/07) Number of modes per uni volume of he aviy per uni frequeny inerval is given by: 8 Mode Densiy, N (.) Therefore, energy densiy (per uni freq. inerval); U 8h
Let us start with a two dimensional case. We consider a vector ( x,
Roaion marices We consider now roaion marices in wo and hree dimensions. We sar wih wo dimensions since wo dimensions are easier han hree o undersand, and one dimension is a lile oo simple. However, our
Basic Principles of Sinusoidal Oscillators
Basic Principles of Sinusoidal Oscillaors Linear oscillaor Linear region of circui : linear oscillaion Nonlinear region of circui : ampliudes sabilizaion Barkhausen crierion X S Amplifier A X O X f Frequency-selecive
University of Cyprus Biomedical Imaging and Applied Optics. Appendix. DC Circuits Capacitors and Inductors AC Circuits Operational Amplifiers
Universiy of Cyprus Biomedical Imaging and Applied Opics Appendix DC Circuis Capaciors and Inducors AC Circuis Operaional Amplifiers Circui Elemens An elecrical circui consiss of circui elemens such as
Photobiological Safety for DOMINANT LEDs. Background. Hazard exposure limits (EL)
Phoobiological Safey for DOMINANT LEDs Background The poenial phoobiological hazard of LEDs was iniially being assessed o be similar o laser in he laser safey sandard by European Sandard Organizaion. However,
Waves are naturally found in plasmas and have to be dealt with. This includes instabilities, fluctuations, waveinduced
Lecure 1 Inroducion Why is i imporan o sudy waves in plasma? Waves are naurally found in plasmas and have o be deal wih. This includes insabiliies, flucuaions, waveinduced ranspor... Waves can deliver
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
Signals and Systems Linear Time-Invariant (LTI) Systems
Signals and Sysems Linear Time-Invarian (LTI) Sysems Chang-Su Kim Discree-Time LTI Sysems Represening Signals in Terms of Impulses Sifing propery 0 x[ n] x[ k] [ n k] k x[ 2] [ n 2] x[ 1] [ n1] x[0] [
dt = C exp (3 ln t 4 ). t 4 W = C exp ( ln(4 t) 3) = C(4 t) 3.
Mah Rahman Exam Review Soluions () Consider he IVP: ( 4)y 3y + 4y = ; y(3) = 0, y (3) =. (a) Please deermine he longes inerval for which he IVP is guaraneed o have a unique soluion. Soluion: The disconinuiies
Fourier Series & The Fourier Transform. Joseph Fourier, our hero. Lord Kelvin on Fourier s theorem. What do we want from the Fourier Transform?
ourier Series & The ourier Transfor Wha is he ourier Transfor? Wha do we wan fro he ourier Transfor? We desire a easure of he frequencies presen in a wave. This will lead o a definiion of he er, he specru.
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,
SOLUTIONS TO ECE 3084
SOLUTIONS TO ECE 384 PROBLEM 2.. For each sysem below, specify wheher or no i is: (i) memoryless; (ii) causal; (iii) inverible; (iv) linear; (v) ime invarian; Explain your reasoning. If he propery is no
Photobiological Safety for DOMINANT LEDs. Background. Hazard exposure limits (EL)
Phoobiological Safey for DOMINANT LEDs Background The poenial phoobiological hazard of LEDs was iniially being assessed o be similar o laser in he laser safey sandard by European Sandard Organizaion. However,
MEMS 0031 Electric Circuits
MEMS 0031 Elecric Circuis Chaper 1 Circui variables Chaper/Lecure Learning Objecives A he end of his lecure and chaper, you should able o: Represen he curren and volage of an elecric circui elemen, paying
6. 6 v ; degree = 7; leading coefficient = 6; 7. The expression has 3 terms; t p no; subtracting x from 3x ( 3x x 2x)
70. a =, r = 0%, = 0. 7. a = 000, r = 0.%, = 00 7. a =, r = 00%, = 7. ( ) = 0,000 0., where = ears 7. ( ) = + 0.0, where = weeks 7 ( ) =,000,000 0., where = das 7 = 77. = 9 7 = 7 geomeric 0. geomeric arihmeic,
U(t) (t) -U T 1. (t) (t)
Prof. Dr.-ng. F. Schuber Digial ircuis Exercise. () () A () - T T The highpass is driven by he square pulse (). alculae and skech A (). = µf, = KΩ, = 5 V, T = T = ms. Exercise. () () A () T T The highpass
EE3723 : Digital Communications
EE373 : Digial Communicaions Week 6-7: Deecion Error Probabiliy Signal Space Orhogonal Signal Space MAJU-Digial Comm.-Week-6-7 Deecion Mached filer reduces he received signal o a single variable zt, afer
Chapter 8 The Complete Response of RL and RC Circuits
Chaper 8 The Complee Response of RL and RC Circuis Seoul Naional Universiy Deparmen of Elecrical and Compuer Engineering Wha is Firs Order Circuis? Circuis ha conain only one inducor or only one capacior
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
EECE 301 Signals & Systems Prof. Mark Fowler
EECE 3 Signals & Sysems Prof. Mark Fowler Noe Se # Wha are Coninuous-Time Signals??? /6 Coninuous-Time Signal Coninuous Time (C-T) Signal: A C-T signal is defined on he coninuum of ime values. Tha is:
Hamilton- J acobi Equation: Explicit Formulas In this lecture we try to apply the method of characteristics to the Hamilton-Jacobi equation: u t
M ah 5 2 7 Fall 2 0 0 9 L ecure 1 0 O c. 7, 2 0 0 9 Hamilon- J acobi Equaion: Explici Formulas In his lecure we ry o apply he mehod of characerisics o he Hamilon-Jacobi equaion: u + H D u, x = 0 in R n
(b) (a) (d) (c) (e) Figure 10-N1. (f) Solution:
Example: The inpu o each of he circuis shown in Figure 10-N1 is he volage source volage. The oupu of each circui is he curren i( ). Deermine he oupu of each of he circuis. (a) (b) (c) (d) (e) Figure 10-N1
6.302 Feedback Systems Recitation : Phase-locked Loops Prof. Joel L. Dawson
6.32 Feedback Syem Phae-locked loop are a foundaional building block for analog circui deign, paricularly for communicaion circui. They provide a good example yem for hi cla becaue hey are an excellen
Silicon Controlled Rectifiers UNIT-1
Silicon Conrolled Recifiers UNIT-1 Silicon Conrolled Recifier A Silicon Conrolled Recifier (or Semiconducor Conrolled Recifier) is a four layer solid sae device ha conrols curren flow The name silicon
x(t)=acos(ωt+φ) d x 2 Review: Harmonic Oscillation Physics 201, Lecture 28 Today s Topics Practical Technique: Recognize Phase Constant (Method I)
Physics 01, Lecure 8 Today s Topics n Oscillaions (Ch 15) n More Simple Harmonic Oscillaion n Review: Mahemaical Represenaion n Eamples: Simple Pendulum, Physical pendulum n Damped Oscillaion n Driven
6.003 Homework #13 Solutions
6.003 Homework #3 Soluions Problems. Transformaion Consider he following ransformaion from x() o y(): x() w () w () w 3 () + y() p() cos() where p() = δ( k). Deermine an expression for y() when x() = sin(/)/().
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
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
Lecture 8. Digital Communications Part III. Digital Demodulation
Lecure 8. Digial Communicaions Par III. Digial Demodulaion Binary Deecion M-ary Deecion Lin Dai (Ciy Universiy of Hong Kong) EE38 Principles of Communicaions Lecure 8 Analog Signal Source SOURCE A-D Conversion
8.022 (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
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
Physical Limitations of Logic Gates Week 10a
Physical Limiaions of Logic Gaes Week 10a In a compuer we ll have circuis of logic gaes o perform specific funcions Compuer Daapah: Boolean algebraic funcions using binary variables Symbolic represenaion
Chapter 9 Sinusoidal Steady State Analysis
Chaper 9 Sinusoidal Seady Sae Analysis 9.-9. The Sinusoidal Source and Response 9.3 The Phasor 9.4 pedances of Passive Eleens 9.5-9.9 Circui Analysis Techniques in he Frequency Doain 9.0-9. The Transforer
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
Quantum interferences induced by the subwavelength-confined anisotropic Purcell factor
Quanum inerferences induced by he subwavelengh-confined anisoropic Purcell facor Ying Gu Sae Key Laboraory for Mesoscopic Physics & Deparmen of Physics, Peking Universiy, China 1 *email: ygu@pku.edu.cn
6.003: Signals and Systems Lecture 20 November 17, 2011
6.3: Signals and Sysems Lecure November 7, 6.3: Signals and Sysems Applicaions of Fourier ransforms Filering Noion of a filer. LI sysems canno creae new frequencies. can only scale magniudes and shif phases
Physics 3A: Basic Physics I Shoup Sample Midterm. Useful Equations. x f. x i v x. a x. x i. v xi v xf. 2a x f x i. y f. a r.
Physics 3A: Basic Physics I Shoup Sample Miderm Useful Equaions A y Asin A A x A y an A y A x A = A x i + A y j + A z k A * B = A B cos(θ) A x B = A B sin(θ) A * B = A x B x + A y B y + A z B z A x B =
2-Wave Interference: Phase and Group Velocity (Ch. 0-1 of Unit 2)
Beware of he Ides of March!! Lecure 1 Tue. 3.13-Thur 3.15.01 -Wave Inerference: Phase and Group Velociy (Ch. 0-1 of Uni ) 1. Review of basic formulas for waves in space-ime (x,) or per-space-ime (ω,k)
( ) ( ) Incident light, p-polarization Z. We ll work through the Fresnel factor for the X-polarized incident field first. ω in.
1 3 d Objecives: 1. Define he individual Fresnel correcion facors for inerfacial SFG and SHG.. Define Lorenz local field correcion facors for SHG and SFG microscopy. 3. Inroduce he problem of refracive
i sw + v sw + v o 100V Ideal switch characteristics
deal swich characerisics. onsider he swiching circui shown in Fig. P. wih a resisive load. Assume he swich is ideal and operaing a a duy raio of 4%. (a) Skech he waveforms for i sw and v sw. (b) Deermine
We are IntechOpen, the world s leading publisher of Open Access books Built by scientists, for scientists. International authors and editors
We are InechOpen, he world s leading publisher of Open Access books Buil by scieniss, for scieniss 3,9 6, M Open access books available Inernaional auhors and ediors Downloads Our auhors are among he 54
2 int T. is the Fourier transform of f(t) which is the inverse Fourier transform of f. i t e
PHYS67 Class 3 ourier Transforms In he limi T, he ourier series becomes an inegral ( nt f in T ce f n f f e d, has been replaced by ) where i f e d is he ourier ransform of f() which is he inverse ourier
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
Receivers, Antennas, and Signals. Professor David H. Staelin Fall 2001 Slide 1
Receivers, Anennas, and Signals Professor David H. Saelin 6.66 Fall 00 Slide A Subjec Conen A Human Processor Transducer Radio Opical, Infrared Acousic, oher Elecromagneic Environmen B C Human Processor
EE650R: Reliability Physics of Nanoelectronic Devices Lecture 9:
EE65R: Reliabiliy Physics of anoelecronic Devices Lecure 9: Feaures of Time-Dependen BTI Degradaion Dae: Sep. 9, 6 Classnoe Lufe Siddique Review Animesh Daa 9. Background/Review: BTI is observed when he
t + t sin t t cos t sin t. t cos t sin t dt t 2 = exp 2 log t log(t cos t sin t) = Multiplying by this factor and then integrating, we conclude that
ODEs, Homework #4 Soluions. Check ha y ( = is a soluion of he second-order ODE ( cos sin y + y sin y sin = 0 and hen use his fac o find all soluions of he ODE. When y =, we have y = and also y = 0, so
L1, L2, N1 N2. + Vout. C out. Figure 2.1.1: Flyback converter
page 11 Flyback converer The Flyback converer belongs o he primary swiched converer family, which means here is isolaion beween in and oupu. Flyback converers are used in nearly all mains supplied elecronic
- If one knows that a magnetic field has a symmetry, one may calculate the magnitude of B by use of Ampere s law: The integral of scalar product
11.1 APPCATON OF AMPEE S AW N SYMMETC MAGNETC FEDS - f one knows ha a magneic field has a symmery, one may calculae he magniude of by use of Ampere s law: The inegral of scalar produc Closed _ pah * d
Problem Set #1. i z. the complex propagation constant. For the characteristic impedance:
Problem Se # Problem : a) Using phasor noaion, calculae he volage and curren waves on a ransmission line by solving he wave equaion Assume ha R, L,, G are all non-zero and independen of frequency From
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
Multivariate analysis of H b b in associated production of H with t t-pair using full simulation of ATLAS detector
Mulivariae analysis of H b b in associaed producion of H wih -pair using full simulaion of ATLAS deecor Sergey Koov MPI für Physik, München ATLAS-D Top meeing, May 19, 26 Sergey Koov (MPI für Physik, München)
EECE 301 Signals & Systems Prof. Mark Fowler
EECE 3 Signals & Sysems Prof. Mark Fowler Noe Se #2 Wha are Coninuous-Time Signals??? Reading Assignmen: Secion. of Kamen and Heck /22 Course Flow Diagram The arrows here show concepual flow beween ideas.
CHAPTER 6: FIRST-ORDER CIRCUITS
EEE5: CI CUI T THEOY CHAPTE 6: FIST-ODE CICUITS 6. Inroducion This chaper considers L and C circuis. Applying he Kirshoff s law o C and L circuis produces differenial equaions. The differenial equaions
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
Electrical Circuits. 1. Circuit Laws. Tools Used in Lab 13 Series Circuits Damped Vibrations: Energy Van der Pol Circuit
V() R L C 513 Elecrical Circuis Tools Used in Lab 13 Series Circuis Damped Vibraions: Energy Van der Pol Circui A series circui wih an inducor, resisor, and capacior can be represened by Lq + Rq + 1, a
IE1206 Embedded Electronics
E06 Embedded Elecronics Le Le3 Le4 Le Ex Ex P-block Documenaion, Seriecom Pulse sensors,, R, P, serial and parallel K LAB Pulse sensors, Menu program Sar of programing ask Kirchhoffs laws Node analysis
Outline of Topics. Analysis of ODE models with MATLAB. What will we learn from this lecture. Aim of analysis: Why such analysis matters?
of Topics wih MATLAB Shan He School for Compuaional Science Universi of Birmingham Module 6-3836: Compuaional Modelling wih MATLAB Wha will we learn from his lecure Aim of analsis: Aim of analsis. Some
Viscous Damping Summary Sheet No Damping Case: Damped behaviour depends on the relative size of ω o and b/2m 3 Cases: 1.
Viscous Daping: && + & + ω Viscous Daping Suary Shee No Daping Case: & + ω solve A ( ω + α ) Daped ehaviour depends on he relaive size of ω o and / 3 Cases:. Criical Daping Wee 5 Lecure solve sae BC s
CHAPTER 2 Signals And Spectra
CHAPER Signals And Specra Properies of Signals and Noise In communicaion sysems he received waveform is usually caegorized ino he desired par conaining he informaion, and he undesired par. he desired par
x 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
Two Coupled Oscillators / Normal Modes
Lecure 3 Phys 3750 Two Coupled Oscillaors / Normal Modes Overview and Moivaion: Today we ake a small, bu significan, sep owards wave moion. We will no ye observe waves, bu his sep is imporan in is own
Section 3.8, Mechanical and Electrical Vibrations
Secion 3.8, Mechanical and Elecrical Vibraions Mechanical Unis in he U.S. Cusomary and Meric Sysems Disance Mass Time Force g (Earh) Uni U.S. Cusomary MKS Sysem CGS Sysem fee f slugs seconds sec pounds
Sensors, Signals and Noise
Sensors, Signals and Noise COURSE OUTLINE Inroducion Signals and Noise: 1) Descripion Filering Sensors and associaed elecronics rv 2017/02/08 1 Noise Descripion Noise Waveforms and Samples Saisics of Noise
Phase Noise in CMOS Differential LC Oscillators
Phase Noise in CMOS Differenial LC Oscillaors Ali Hajimiri Thomas H. Lee Sanford Universiy, Sanford, CA 94305 Ouline Inroducion and Definiions Tank Volage Noise Sources Effec of Tail Curren Source Measuremen
Power of Random Processes 1/40
Power of Random Processes 40 Power of a Random Process Recall : For deerminisic signals insananeous power is For a random signal, is a random variable for each ime. hus here is no single # o associae wih
Adaptive Noise Estimation Based on Non-negative Matrix Factorization
dvanced cience and Technology Leers Vol.3 (ICC 213), pp.159-163 hp://dx.doi.org/1.14257/asl.213 dapive Noise Esimaion ased on Non-negaive Marix Facorizaion Kwang Myung Jeon and Hong Kook Kim chool of Informaion
CHE302 LECTURE VI DYNAMIC BEHAVIORS OF REPRESENTATIVE PROCESSES. Professor Dae Ryook Yang
CHE30 LECTURE VI DYNAMIC BEHAVIORS OF REPRESENTATIVE PROCESSES Professor Dae Ryook Yang Fall 00 Dep. of Chemical and Biological Engineering orea Universiy CHE30 Process Dynamics and Conrol orea Universiy
EE 315 Notes. Gürdal Arslan CLASS 1. (Sections ) What is a signal?
EE 35 Noes Gürdal Arslan CLASS (Secions.-.2) Wha is a signal? In his class, a signal is some funcion of ime and i represens how some physical quaniy changes over some window of ime. Examples: velociy of
ES.1803 Topic 22 Notes Jeremy Orloff
ES.83 Topic Noes Jeremy Orloff Fourier series inroducion: coninued. Goals. Be able o compue he Fourier coefficiens of even or odd periodic funcion using he simplified formulas.. Be able o wrie and graph
Lecture 3: Solow Model II Handout
Economics 202a, Fall 1998 Lecure 3: Solow Model II Handou Basics: Y = F(K,A ) da d d d dk d = ga = n = sy K The model soluion, for he general producion funcion y =ƒ(k ): dk d = sƒ(k ) (n + g + )k y* =
ME 391 Mechanical Engineering Analysis
Fall 04 ME 39 Mechanical Engineering Analsis Eam # Soluions Direcions: Open noes (including course web posings). No books, compuers, or phones. An calculaor is fair game. Problem Deermine he posiion of
EELE Lecture 3,4 EE445 - Outcomes. Physically Realizable Waveforms. EELE445 Montana State University. In this lecture you:
EELE445 Monana Sae Universiy Lecure 3,4 EE445 - Oucomes EELE445-4 Lecure 3,4 Poer, Energy, ime average operaor secion. In his lecure you: be able o use he ime average operaor [] for finie ime duraion signals
5.2. The Natural Logarithm. Solution
5.2 The Naural Logarihm The number e is an irraional number, similar in naure o π. Is non-erminaing, non-repeaing value is e 2.718 281 828 59. Like π, e also occurs frequenly in naural phenomena. In fac,
3 at MAC 1140 TEST 3 NOTES. 5.1 and 5.2. Exponential Functions. Form I: P is the y-intercept. (0, P) When a > 1: a = growth factor = 1 + growth rate
1 5.1 and 5. Eponenial Funcions Form I: Y Pa, a 1, a > 0 P is he y-inercep. (0, P) When a > 1: a = growh facor = 1 + growh rae The equaion can be wrien as The larger a is, he seeper he graph is. Y P( 1