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Computational Photonics-Salah Obayya

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发表于 2016-12-1 15:28 | 只看该作者 回帖奖励 |倒序浏览 |阅读模式

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1 Introduction
( E. e/ k- J/ Z3 t$ E$ V' k1.1 Photonics: the countless possibilities of light propagation
$ e6 A$ ]; ~( V1.2 Modelling photonics+ c6 d3 c, h. {
2 Full-vectorial Beam Propagation Method
; F! Q9 C! K8 `2.1 Introduction% T6 n+ s- `, o+ y8 i7 t
2.2 Overview of the beam propagation methods+ G' q! C. }5 ~7 e" A0 b( n! Y2 l
2.3 Maxwell’s Equations7 z! m$ m2 S" V( o
2.4 Magnetic field formulation of the wave equation. ~' _6 ~1 A/ E1 n
2.5 Electric field formulation of the wave equation
: O" u+ ]) h+ n- r2.6 PeRFectly-Matched Layer
" N( Z% }1 [% G: ~) j) b' [2.7 Finite Element Analysis
/ a) x2 y) u# X# p8 ~2.8 Derivation of BPM Equations
9 ]3 g/ ?5 h; _8 t- O7 m2.9 Imaginary-Distance BPM: Mode Solver
' I- s/ p& ]1 H2 Z3 Assessment of Full-Vectorial Beam Propagation Method7 r: \4 q( p; ^6 n" e- w% t% P* Q. u
3.1 Introduction
% Y4 H* J) R, d' Z) i0 \- y3.2 Analysis of Rectangular waveguide
- ]: a  Q# [# ^. @, O3.3 Photonic Crystal Fibre
% P9 G; ~- d4 E$ X2 y3.4 Liquid Crystal Based Photonic Crystal Fibre
7 Q- e7 R9 l8 j/ {( z& t3.5 Electro-optical Modulators5 m  _& i8 R/ M% }" f
3.6 Switches" E; j' S1 n6 f$ r5 C! Y+ x& N* @
4 Bidirectional Beam Propagation Method$ q: p( h. y9 H0 I! d
4.1 Introduction
- Z( c$ c, g$ s. C  `7 R4.2 Optical Waveguide Discontinuity Problem- c2 O3 c/ y- N- n5 u0 j3 v
4.3 Finite element analysis of discontinuity problems0 k6 I1 v1 M! e8 \5 A2 X
4.4 Derivation of Finite Element Matrices
2 N) }/ T9 u$ |2 Q4.5 Application of Taylor’s Series Expansion
, M% |5 d  j$ ^. }- J+ ~- V4.6 Computation of Reflected, Transmitted and Radiation Waves+ I, X  R0 h1 q( z" ^9 w0 d- s
4.7 Optical fiber-facet problem  r) H0 X7 F- E' e0 t5 r0 Y3 x
4.8 Finite element analysis of optical fiber facets
0 i6 N1 h3 B% y# A% L4.9 Iterative analysis of multiple-discontinuities* p$ V2 h6 X/ S) P- P* g
4.10 Numerical assessment
3 m7 l9 D- S8 ^8 u& L6 S6 D% K5 Complex-Envelope Alternating-Direction-Implicit Finite Difference Time Domain Method with Assessment
# n$ F" T$ t0 R7 G* u3 V5.1 Introduction; C' ~4 _) m+ D1 Q' u$ d
5.2 Maxwell's equations
* F5 S7 a0 W5 q% n6 k5.3 Brief history of Finite Difference Time Domain (FDTD) Method. x& k- G. r; c) `! l3 }5 D( i
5.4 Finite Difference Time Domain (FDTD) Method
3 F/ {" ?$ s3 V) C5.5 -Direction-Implicit FDTD (ADI-FDTD): Beyond the Courant Limit
/ w- w* G) ^8 a. u4 \7 {; }7 U5 L5.6 Complex-Envelope ADI-FDTD (CE-ADI-
% n  Z5 i$ \# R5 D5.7 Perfectly Matched Layer (PML) Boundary Conditions
& O! I+ {5 J  c0 k6 m# F5.8 Uniaxal Perfectly Matched Layer (UPML) Absorbing Boundary Condition
% E4 x1 x) J9 M! K; H1 U7 l: g- n8 w5.9 PML Parameters
7 t& u( L( T% k, G  s5.10 PML Boundary Conditions for CE-ADI-FDTD+ P" K3 M4 f, x+ Z6 Y
5.11 PhC Resonant Cavities
) ]/ ~" V4 j/ y5.12 5x5 Rectangular Lattice PhC Cavity
. r3 r5 s+ t7 F8 {" J0 Y0 a5.13 Triangular Lattice PhC Cavity
4 m4 ?( G+ \% W6 L" v+ g* m; A" A5.14 Wavelength Division Multiplexing( z( q) z- X6 t9 C3 _2 W
5.15 Conclusions7 x/ s7 L& V) Q; P0 E- e8 h6 L. B
6. Finite Volume time Domain (FVTD) Method. R4 F/ Z# H$ S8 e3 g3 [
6.1 Introduction0 ?, }# [3 U) [( i
6.2 Numerical analysis
# F2 i( V% F2 u  J$ ~6.3 UPWIND Scheme for the Calculation
3 P8 G1 o* d$ s) E$ O3 k6.4 NON-DIFFUSIVE Scheme for the Flux Calculation
6 G, O: T6 g9 q1 A! h: F0 g* ?; G6.5 2D Formulation of the FVTD Method
8 u0 @9 P, K! U! C- w' Y: C8 s6.6 Boundary Conditions
7 P2 [6 ^$ Q; C- f# v  _6.7 Nonlinear Optics
$ Z  a7 O3 }  v7 {8 V6.8 Nonlinear Optical Interactions
- J; q+ H- F$ k" {; p- R6.9 Extension of the FDTD Method to Nonlinear Problems. r8 C: q7 C$ m% S
6.10 Extension of the FVTD Method to Nonlinear Problems
! f5 l5 j4 `" d) n7 ~2 e6.11 Conclusions$ J* |0 H7 I$ s
7 Numerical Analysis of Linear and Nonlinear PhC Based Devices6 I  D2 w4 ^+ b' U3 T4 W+ v
7.1 Introduction- m  Q" J" h) ]7 \
7.2 FVTD Method Assessment: PhC Cavity
. T, W8 ?& q1 T( j2 L! s. e; \8 q! U7.3 FVTD Method Assessment: PhC Waveguide
! _: x! Y' k8 A7.4 FVTD Method Assessment: PBG T-Branch
; s0 ~- `6 G4 W# J6 }2 q1 F  O7.5 PhC Multimode Resonant Cavity
7 U- }) U6 h. ^7.6 FDTD Analysis of Nonlinear Devices
* {  ]/ [0 G/ s7.7 FVTD Analysis of Nonlinear Photonic Crystal Wires
! E1 M5 l9 k1 q- C1 U7.8 Conclusions8 u) b# h* I) W" Y9 t! q  G
8 Multiresolution Time Domain: O9 m2 B  v9 h, [* D! x
8.1 Introduction+ B$ H4 P% R+ S) f* f7 K! K& [
8.2 MRTD basics
2 P) ]4 i% C* ^8.3 MRTD update scheme2 |1 [9 q# }; c9 a* z8 l0 ^* o7 O+ b
8.4 Scaling-MRTD) C: C' U6 S: z% R3 R5 K* f3 M- a
8.5 Conclusions
; _  c& L" a& z6 v9 MRTD Analysis of PhC-Devices
, ~/ ^/ b2 B# L- q9.1 Introduction% ^; h+ L* z2 x" t; A4 x( ?6 f
9.2 UPML-MRTD: test and code validation
; a; C: m0 o1 I7 p# x9.3 MRTD vs FDTD for the analysis of linear photonic crystals" W- o+ i- m5 ^7 y
9.4 Conclusions( O; m+ _+ j; n- O& Z# p! J
10 MRTD Analysis of SHG PhC-Devices; {7 ?7 H; w( p* Q( B; a! @$ [
10.1 Introduction- \) N7 [0 X# ~$ @$ P
10.2 Second hARMonic generation in optics
# O- I- m" R4 w& |: Q6 j0 \0 F10.3 Extended S-MRTD for SHG analysis8 f6 f$ ?1 q" ]* n# \
10.4 SHG in PhC-waveguide; v! e" q) U0 q; ^
10.5 Selective SHG in compound PhC-based structures2 T$ g; f! I/ u/ K, C
10.6 New design for selective SHG: PhC-microcavities coupling; J4 g5 A) B  N
10.7 Conclusions$ ^( y& [" X# V3 _6 q
11 Dispersive Nonlinear MRTD for SHG Applications
9 ~4 e& Q6 G) m  ?9 q11.1 Introduction
8 Z2 |. z1 x. J, m" `8 t0 P11.2 Dispersion analysis
, n5 ?; E6 g1 r2 z7 I5 b8 m11.3 SHG-MRTD scheme for dispersive materials3 [4 ^6 f5 g# P3 B7 C1 N( w
11.4 Simulation results1 D9 L9 k, I3 v
11.5 Conclusions

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发表于 2016-12-2 10:42 | 只看该作者
楼主威武霸气!$ C  _" }8 c9 K4 g- F4 T/ U2 N

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发表于 2016-12-2 11:13 | 只看该作者
谢谢O(∩_∩)O哈哈~谢谢O(∩_∩)O哈哈
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