Numerical Study of Large-area Anti-Resonant Reflecting Optical Waveguide (ARROW) Vertical-Cavity Semiconductor Optical Amplifiers (VCSOAs)

Similar documents
ESS 265 Spring Quarter 2005 Kinetic Simulations

Reflection and Refraction

Lecture 5. Plane Wave Reflection and Transmission

1 Constant Real Rate C 1

Field due to a collection of N discrete point charges: r is in the direction from

Maximum Likelihood Estimation

Control Systems. Mathematical Modeling of Control Systems.

Example: MOSFET Amplifier Distortion

Monetary policy and models

Name of the Student:

Outline. GW approximation. Electrons in solids. The Green Function. Total energy---well solved Single particle excitation---under developing

Modern Energy Functional for Nuclei and Nuclear Matter. By: Alberto Hinojosa, Texas A&M University REU Cyclotron 2008 Mentor: Dr.

s = rθ Chapter 10: Rotation 10.1: What is physics?

Response of MDOF systems

Physics Exam II Chapters 25-29

May 29, 2018, 8:45~10:15 IB011 Advanced Lecture on Semiconductor Electronics #7

p E p E d ( ) , we have: [ ] [ ] [ ] Using the law of iterated expectations, we have:

(,,, ) (,,, ). In addition, there are three other consumers, -2, -1, and 0. Consumer -2 has the utility function

EE 410/510: Electromechanical Systems Chapter 3

Chapter 3: Vectors and Two-Dimensional Motion

X-Ray Notes, Part III

5-1. We apply Newton s second law (specifically, Eq. 5-2). F = ma = ma sin 20.0 = 1.0 kg 2.00 m/s sin 20.0 = 0.684N. ( ) ( )

TRANSIENTS. Lecture 5 ELEC-E8409 High Voltage Engineering

Today - Lecture 13. Today s lecture continue with rotations, torque, Note that chapters 11, 12, 13 all involve rotations

Note: Please use the actual date you accessed this material in your citation.

Rotor Power Feedback Control of Wind Turbine System with Doubly-Fed Induction Generator

Calculus 241, section 12.2 Limits/Continuity & 12.3 Derivatives/Integrals notes by Tim Pilachowski r r r =, with a domain of real ( )

Cooling of a hot metal forging. , dt dt

Information Fusion Kalman Smoother for Time-Varying Systems

ELG3336: Op Amp-based Active Filters

Detection and Estimation Theory

Chapter 6 Plane Motion of Rigid Bodies

Physics 15 Second Hour Exam

( ) ( ) ( ) ( ) ( ) ( ) j ( ) A. b) Theorem

CFAR BI DETECTOR IN BINOMIAL DISTRIBUTION PULSE JAMMING 1. I. Garvanov. (Submitted by Academician Ivan Popchev on June 23, 2003)

On Probability Density Function of the Quotient of Generalized Order Statistics from the Weibull Distribution

Time-Dependent Density Functional Theory in Condensed Matter Physics

Go over vector and vector algebra Displacement and position in 2-D Average and instantaneous velocity in 2-D Average and instantaneous acceleration

The Backpropagation Algorithm

EMA5001 Lecture 3 Steady State & Nonsteady State Diffusion - Fick s 2 nd Law & Solutions

Scattering at an Interface: Oblique Incidence

calculating electromagnetic

MCTDH Approach to Strong Field Dynamics

β A Constant-G m Biasing

Motion of Wavepackets in Non-Hermitian. Quantum Mechanics

Sound Transmission Throough Lined, Composite Panel Structures: Transversely Isotropic Poro- Elastic Model

Complex atoms and the Periodic System of the elements

Additional File 1 - Detailed explanation of the expression level CPD

Comb Filters. Comb Filters

EG Low Voltage CMOS Fully Differential Current Feedback Amplifier with Controllable 3-dB Bandwidth

PHY2053 Summer C 2013 Exam 1 Solutions

, on the power of the transmitter P t fed to it, and on the distance R between the antenna and the observation point as. r r t

Technical Appendix for Inventory Management for an Assembly System with Product or Component Returns, DeCroix and Zipkin, Management Science 2005.

Chapter 2: Descriptive Statistics

ELEC 201 Electric Circuit Analysis I Lecture 9(a) RLC Circuits: Introduction

st semester. Kei Sakaguchi. ee ac May. 10, 2011

2/20/2013. EE 101 Midterm 2 Review

Solution in semi infinite diffusion couples (error function analysis)

Fundamentals of PLLs (I)

Learning Objectives. Self Organization Map. Hamming Distance(1/5) Introduction. Hamming Distance(3/5) Hamming Distance(2/5) 15/04/2015

CHAPTER 10: LINEAR DISCRIMINATION

2 shear strain / L for small angle

E-Companion: Mathematical Proofs

Physics 201 Lecture 15

ˆ x ESTIMATOR. state vector estimate

Let s treat the problem of the response of a system to an applied external force. Again,

New integrated programmable optical diffractive element

Handling Fuzzy Constraints in Flow Shop Problem

Consider a Binary antipodal system which produces data of δ (t)

V.Abramov - FURTHER ANALYSIS OF CONFIDENCE INTERVALS FOR LARGE CLIENT/SERVER COMPUTER NETWORKS

Ordinary Differential Equations in Neuroscience with Matlab examples. Aim 1- Gain understanding of how to set up and solve ODE s

Physics 120 Spring 2007 Exam #1 April 20, Name

Chapter Finite Difference Method for Ordinary Differential Equations

LOW ORDER POLYNOMIAL EXPANSION NODAL METHOD FOR A DeCART AXIAL SOLUTION

MIMO Capacity for UWB Channel in Rectangular Metal Cavity

A. Thicknesses and Densities


ASTR 3740 Relativity & Cosmology Spring Answers to Problem Set 4.

Ch 11 Particulate suspensions

Laplace Transform. Definition of Laplace Transform: f(t) that satisfies The Laplace transform of f(t) is defined as.

I-POLYA PROCESS AND APPLICATIONS Leda D. Minkova

ELG4139: Op Amp-based Active Filters

STABILITY CRITERIA FOR A CLASS OF NEUTRAL SYSTEMS VIA THE LMI APPROACH

Matrix reconstruction with the local max norm

ajanuary't I11 F or,'.

Summary of Experimental Uncertainty Assessment Methodology With Example

Linear Response Theory: The connection between QFT and experiments

Chapter 7 AC Power and Three-Phase Circuits

u(t) Figure 1. Open loop control system

[ ] 2. [ ]3 + (Δx i + Δx i 1 ) / 2. Δx i-1 Δx i Δx i+1. TPG4160 Reservoir Simulation 2018 Lecture note 3. page 1 of 5

A Novel Efficient Stopping Criterion for BICM-ID System

Fall 2004/05 Solutions to Assignment 5: The Stationary Phase Method Provided by Mustafa Sabri Kilic. I(x) = e ixt e it5 /5 dt (1) Z J(λ) =

SUPERSONIC INVISCID FLOWS WITH THREE-DIMENSIONAL INTERACTION OF SHOCK WAVES IN CORNERS FORMED BY INTERSECTING WEDGES Y.P.

8.1. a) For step response, M input is u ( t) Taking inverse Laplace transform. as α 0. Ideal response, K c. = Kc Mτ D + For ramp response, 8-1

Microelectronic Circuits. Feedback. Ching-Yuan Yang

Graduate Macroeconomics 2 Problem set 5. - Solutions

CptS 570 Machine Learning School of EECS Washington State University. CptS Machine Learning 1

Low-complexity Algorithms for MIMO Multiplexing Systems

Normal Random Variable and its discriminant functions

UNIVERSITAT AUTÒNOMA DE BARCELONA MARCH 2017 EXAMINATION

Transcription:

USOD 005 uecal Sudy of Lage-aea An-Reonan Reflecng Opcal Wavegude (ARROW Vecal-Cavy Seconduco Opcal Aplfe (VCSOA anhu Chen Su Fung Yu School of Eleccal and Eleconc Engneeng

Conen Inoducon Vecal Cavy Seconduco Opcal Aplfe (VCSOA Lage-aea VCSOA and degn challenge An-Reonan Reflecng Opcal Wavegude (ARROW ARROW VCSOA uecal Model Opcal feld analy Aplfe analy equaon Opcal chaacec of ARROW VCSOA Copaon beween ARROW and ndex-guded VCSOA Influence of paal hole bunng and heal lenng Degn opzaon of ARROW VCSOA Concluon

Vecal Cavy Seconduco Opcal Aplfe (VCSOA DBR Claddng laye QW Acve laye Claddng laye DBR Copac ze Hgh couplng effcency o fbe Inenve o polazaon Low noe fgue Hgh-deny aay DBR d d λ 0 / n /4

Ipoan Popee of VCSOA Aplfe gan (hghe bee Sauaon oupu powe (hghe bee Gan bandwdh (lage bee oe fgue (lowe bee

Laon of convenonal Lage-aea VCSOA Hghe auaon oupu powe Lage daee Unable oupu gnal (ul-anvee ode oupu Fundaenal Tanvee Mode F Ode Tanvee Mode LP 0 LP

An-Reonan Reflecng Opcal Wavegude (ARROW n eff Hghe-ode An-node ode Fundaenal d d d Fundaenal ode: fulfll an-eonan condon nu adaon lo ananed Ohe ode: o fulfll an-eonan condon gnfcan adaon lo uppeed

ARROW VCSOA Ue ARROW o uppe he hgh-ode anvee ode of VCSOA o anan he ngle-po gnal oupu when nceang he devce daee o oban hghe auaon oupu powe. F claddng laye Second claddng laye hn pace laye Confneen laye Inpu and oupu gnal. Tanpaen eal conac p-dbr Acve laye (InGaAP/InP QW n-ubae n 3.35 3.3 n 4 n 3 d n n n n 4 Coe n 3 d d n-dbr

Tanvee Opcal Feld ψ ψ c [ ( ( ] ( c ( c E H v β E H v β co( [ ( ( ] ( ( E H β E H β n( φ v v φ E ψ E 0 Popagaon Decon Cene 0 E E E E E 3 E 3. E E E 3 - E E E n n n 3 n n n - 0 3 -. E E 0

Aplfe Equaon ( ( b b b b g R R g R R g R R g R R G n 4 n 4 θ θ Reflecon gan (pecal anvee feld n ARROW aveage gan along he anvee decon: φ φ φ φ φ c c c a S a S a S a g ed J D D 0 0 0 n ( ψ co ( ψ ψ ( ( ( τ Rae equaon fo cae concenaon: 0 ~ ( B V h P S g v d ds p p I g Γ γ ν ζ α α Γ ξ Rae equaon fo phoon deny (adaon loe ex n ARROW ncluon of adaon loe n equaon g n H Δ Γ π λ α δ 4 T T n n T Δ δ Refacve ndex change due o paal hole bunng (SHB and heal lenng:

ARROW VCSOA 40 Fundaenal ode G 0 ode ode λ p0 λ p 40 G 0 (λ p0 G (db 0 G 6dB J 0 (b (a G (λ p G (λ p0 0 38 39 30 λ 0 (n 0 0.6 0.8.0 J ( J h Aplfe gan veu (a npu gnal wavelengh and (b pup cuen of an ARROW VCSOA wh d µ.89 µ d 6µ.

Convenonal VCSOA 40 Fundaenal ode ode ode λ λ p0 p0 G 0 40.7dB G (db 0 G (a J 0 (b G 0 (λ p0 G (λ p G (λ p0 0 38 39 30 λ 0 (n 0 0.6 0.8.0 J ( J h Aplfe gan veu (a npu gnal wavelengh and (b pup cuen of a convenonal ndex-guded VCSOA wh d µ n 3.3 and n n 3 n 4 3.5.

Influence of SHB and Theal lenng Spaal hole bunng Theal lenng ( 0 8 c -3 Δn ( 0-3 P I0 0 0 6 0.5 0.0 δn (μ P I0 α H (a 0 6 (μ (c λ g Γ Δ 4π δn and δn T G (db 0 P I0 δn - 0 6 ( 0-3 0 0 δn T (μ ode ode λ p (b G 0 (d G P I0 38 39 30 δ λ 0 (n n T n T ΔT λ p0 ~0dB Fundaenal ode

Degn opzaon of ARROW VCSOA d μ Fo a fxed value of d fnd a coepondng cobnaon of and d whch can poduce he lage adaon lo dffeence beween fundaenal ode and he nex ode. Chooe ( d n he vcny of ha obaned fo ep on he -d plane whch can ee boh he equeen of a low adaon lo n LM 0 and a lage adaon lo agn.

Pefoance of well-degned ARROW VCSOA G (db 0 0 8dB G0 (λ p0 (a G (λ p 0 0 30 40 50 d (μ bandwdh G (λ p0 0. 0. Bandwdh (n auaon powe (db -0 (b -0 0 30 40 50 d (μ Vaaon of (a aplfe gan and bandwdh and (b auaon powe veu d.

Concluon Opcal chaacec of ARROW VCSOA ae nvegaed nuecally wh a ple elf-conen odel The opcal chaacec of ARROW and convenonal ndex-guded VCSOA ae copaed I hown he peence of ARROW can pove he ably of ngle-po aplfed oupu-gnal eon whou deeoang he aplfe gan A new degn ule popoed o opze he ucue of ARROW o ha gnal ably and hgh auaon powe can be acheved ulaneouly n lage-aea ARROW VCSOA

Fo Moe Infoaon The deal of h wok wll be publhed n he fuue ue of IEEE/OSA Jounal of Lghwave Technology