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1 Introduction
! q: G( J$ ~/ p9 Q$ S% h: n1.1 Photonics: the countless possibilities of light propagation
2 e0 Y8 H* q( |4 s1.2 Modelling photonics
$ k% \" k/ H2 v: E/ k2 Full-vectorial Beam Propagation Method7 x# j# ~' o! E$ F$ S
2.1 Introduction }$ ~" i/ Z. [% P. a
2.2 Overview of the beam propagation methods
. @: |. y( w, D1 _2.3 Maxwell’s Equations
( m" \: p: u% P2 \9 [! P1 \2.4 Magnetic field formulation of the wave equation
) R7 `% g) [) P, n3 O" K7 o4 b1 o2.5 Electric field formulation of the wave equation
8 t z, i& c6 W" Y2.6 PeRFectly-Matched Layer
8 _4 s1 Y, F2 f/ _* z7 k. W2.7 Finite Element Analysis
3 Q+ F; ~0 P/ N2.8 Derivation of BPM Equations& E: Q7 Y# J7 R! q
2.9 Imaginary-Distance BPM: Mode Solver
+ y+ j3 y: `" Y: o, J3 Assessment of Full-Vectorial Beam Propagation Method
3 X* b2 U- `! ?+ K5 Z: t( X9 H3.1 Introduction! v" T9 j, k0 t5 o o6 @# `( b; D8 N6 J
3.2 Analysis of Rectangular waveguide
1 ?7 Z1 l3 i+ j6 Q. i' \% ~3 P2 m3.3 Photonic Crystal Fibre
- Z" q. i }* B7 b- K8 S# K3.4 Liquid Crystal Based Photonic Crystal Fibre
$ S6 d( v. Q6 B8 Z$ m' N1 E1 [+ w3.5 Electro-optical Modulators! r! H( m6 h. i: K1 J% t
3.6 Switches( q" y. k3 }+ v. K: F H9 o" s
4 Bidirectional Beam Propagation Method
% m3 f6 ^# k! ]; A, b& D4.1 Introduction# ~6 G+ W2 ^1 L5 B+ y7 b
4.2 Optical Waveguide Discontinuity Problem. c2 P; F" X, }" I; g$ m9 A
4.3 Finite element analysis of discontinuity problems- E5 [1 P2 B- o" X0 y% [" L2 l. p+ X
4.4 Derivation of Finite Element Matrices
# [. x0 V1 u# ^4.5 Application of Taylor’s Series Expansion2 ~9 S# H5 j. _$ r' P- W. g9 K2 t" J
4.6 Computation of Reflected, Transmitted and Radiation Waves
4 s! M! N# O( s+ u" U- U4.7 Optical fiber-facet problem) `+ k' W" I8 C, M
4.8 Finite element analysis of optical fiber facets/ Q3 O" G4 j2 ^6 G8 `3 c8 P
4.9 Iterative analysis of multiple-discontinuities
, E9 ?7 k: {: h: E$ F4.10 Numerical assessment
# A+ V4 Q' M$ H. C, t& }) S8 E5 Complex-Envelope Alternating-Direction-Implicit Finite Difference Time Domain Method with Assessment
# w0 z# t: F7 a8 d4 P b+ \2 |+ V; B5.1 Introduction9 [: v t7 _8 _& ?1 E) j
5.2 Maxwell's equations
9 B8 M) B4 i# o0 ~5.3 Brief history of Finite Difference Time Domain (FDTD) Method- J( q7 _+ V E
5.4 Finite Difference Time Domain (FDTD) Method- e: y! }7 s6 r5 l7 Z9 s. X
5.5 -Direction-Implicit FDTD (ADI-FDTD): Beyond the Courant Limit0 x: W& _, `8 ]. C0 _* Z1 p* e. f
5.6 Complex-Envelope ADI-FDTD (CE-ADI-1 [+ d. D' ]1 e" U7 y2 F2 M0 W
5.7 Perfectly Matched Layer (PML) Boundary Conditions0 Q W! p: l- y
5.8 Uniaxal Perfectly Matched Layer (UPML) Absorbing Boundary Condition( D. t: Q3 ]$ w0 }6 G. z
5.9 PML Parameters
M& Y5 c1 e! L1 U8 d% i* B5.10 PML Boundary Conditions for CE-ADI-FDTD1 s) f( ^; A9 U5 s8 O1 }. e
5.11 PhC Resonant Cavities* D" P$ h6 y3 [- j" L- [- C
5.12 5x5 Rectangular Lattice PhC Cavity0 `, R+ @& X9 p8 h
5.13 Triangular Lattice PhC Cavity9 i$ w3 n* c P+ n. R
5.14 Wavelength Division Multiplexing
/ Z! j, T( H0 t7 d' M5.15 Conclusions6 W3 A0 M+ }' ~9 V% E
6. Finite Volume time Domain (FVTD) Method( x A" \7 u. b, ] X: x1 a
6.1 Introduction. H9 P/ i) y; j b& [. E
6.2 Numerical analysis
5 C: M) i7 ]& H6.3 UPWIND Scheme for the Calculation3 ?6 b4 ^2 z }4 }/ n* c2 g; Q
6.4 NON-DIFFUSIVE Scheme for the Flux Calculation% h+ C# @3 I* _8 \
6.5 2D Formulation of the FVTD Method
- B1 P' n9 G. Y. `0 ^/ w) W. w2 r6.6 Boundary Conditions4 Z, V P5 }4 q& ]$ S2 Y) t! Q. l7 H
6.7 Nonlinear Optics
( c" p; \' S8 x! }5 A* m. e6.8 Nonlinear Optical Interactions
' x$ X1 O9 t+ i6.9 Extension of the FDTD Method to Nonlinear Problems
8 l/ H+ b4 Z- L6.10 Extension of the FVTD Method to Nonlinear Problems
. f, T& a1 E' V! e: d6.11 Conclusions
# Y- V( f; i* s4 P: u6 k+ s& S7 Numerical Analysis of Linear and Nonlinear PhC Based Devices: | ^( `9 u- S+ o% }' M8 G$ E
7.1 Introduction+ V& X v- |9 V+ R* C
7.2 FVTD Method Assessment: PhC Cavity
5 Y' `/ w# \( V" \. w/ f7.3 FVTD Method Assessment: PhC Waveguide% i, {# x6 _8 ~( \3 B |
7.4 FVTD Method Assessment: PBG T-Branch$ |$ X$ n- @* n5 h8 b
7.5 PhC Multimode Resonant Cavity2 ^9 h7 B8 `! G5 W2 t
7.6 FDTD Analysis of Nonlinear Devices$ d9 e* C Z; g. P; s
7.7 FVTD Analysis of Nonlinear Photonic Crystal Wires
2 F# D4 y) ^5 j' q8 Q# j* m9 Y7.8 Conclusions
@1 b5 J* i; @4 L, Z1 [3 y' e2 C8 Multiresolution Time Domain
; P! e* O% P: S, c- z0 }$ o; U8.1 Introduction
& \& E, t& h" b2 ]8.2 MRTD basics2 l5 k7 s6 h- T, I5 x
8.3 MRTD update scheme( y) A5 ?4 O- N9 x6 I" w$ b2 r7 n
8.4 Scaling-MRTD
- `' g2 N7 X# z" L0 H3 C+ ]8.5 Conclusions
3 y9 M; ?9 j- A( m. t$ N \9 MRTD Analysis of PhC-Devices) a4 u2 i( E: E* j
9.1 Introduction
- Y; ?8 P+ I( O9.2 UPML-MRTD: test and code validation6 d3 I5 r$ V+ H1 q9 ? p/ ~+ O: t
9.3 MRTD vs FDTD for the analysis of linear photonic crystals
! B2 P" h% e+ G0 e( {9.4 Conclusions
" A3 ]" D, A: n) q; j, |$ K10 MRTD Analysis of SHG PhC-Devices
! t; y6 w6 ^8 w1 V3 [) u10.1 Introduction( V8 M9 Z8 N# @
10.2 Second hARMonic generation in optics6 P* s& m5 `- g4 `3 c( K/ l
10.3 Extended S-MRTD for SHG analysis
7 H* |, c4 |, f/ J* X: O10.4 SHG in PhC-waveguide6 a; i+ J; c% \# |
10.5 Selective SHG in compound PhC-based structures
' N9 P6 W6 ^; O% D- R) k( s10.6 New design for selective SHG: PhC-microcavities coupling
' k/ K7 t: }# T10.7 Conclusions' K. ]" G9 T O# a
11 Dispersive Nonlinear MRTD for SHG Applications
# e( _, `4 A G; O0 W* x( Z, H11.1 Introduction: x* c; ?4 J" {: j1 Y6 T; M7 \
11.2 Dispersion analysis
+ k% Y: h3 z8 y# | J11.3 SHG-MRTD scheme for dispersive materials
1 _$ s4 H9 d0 B d11.4 Simulation results
! o" U x3 H1 K11.5 Conclusions |
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发表于 2016-12-1 15:28
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发表于 2016-12-2 11:13