An effective z-stretching method for paraxial light beam propagation simulations

被引：10

作者：

Gonzalez, Leonel ^{[2
]}

Guha, Shekhar ^{[3
]}

Rogers, James W. ^{[1
]}

Sheng, Qin ^{[1
]}

机构：

[1] Baylor Univ, Dept Math, Ctr Astrophys, Waco, TX 76798 USA

[2] Gen Dynam Informat Technol, Dayton, OH 45431 USA

[3] USAF, Res Lab, Mat & Mfg Directorate, Wright Patterson AFB, OH 45433 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2008年 / 227卷 / 15期

关键词：

light beam propagation; interface singularity; finite difference approximations; domain transformation; consistency; stability; uniform and nonuniform grids;

D O I：

10.1016/j.jcp.2008.04.019

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A z-stretching finite difference method is developed for simulating the paraxial light beam propagation through a lens in a cylindrically symmetric domain. By introducing a domain transformation in the z-direction, we solve the corresponding complex difference equations containing an interface singularity over a computational space for great simplicity and efficiency. A specially designed matrix analysis is constructed to the study the numerical stability. Computational experiments are carried out for demonstrating our results. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：7264 / 7278

页数：15

共 50 条

[21] Simulations of proton beam propagation in matter using entropic moment method
Olivier, E.
Nguyen-Bui, T. H.
Champion, C.
Dubroca, B.
31ST INTERNATIONAL CONFERENCE ON PHOTONIC, ELECTRONIC AND ATOMIC COLLISIONS (ICPEAC XXXI), 2020, 1412
[22] Finite difference split step method for non-paraxial semivectorial beam propagation in 3D
Debjani Bhattacharya
Anurag Sharma
Optical and Quantum Electronics, 2008, 40 : 933 - 942
[23] Finite difference split step method for non-paraxial semivectorial beam propagation in 3D
Bhattacharya, Debjani
Sharma, Anurag
OPTICAL AND QUANTUM ELECTRONICS, 2008, 40 (11-12) : 933 - 942
[24] Numerical local-index-integration method of efficient beam propagation simulations
Kim, KY
Han, DK
Jung, ST
JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS BRIEF COMMUNICATIONS & REVIEW PAPERS, 2005, 44 (6A): : 4235 - 4236
[25] Propagation of light beam in optical fiber by the (t, t prime ) method
Vorobeichik, Ilya
Peskin, Uri
Moiseyev, Nimrod
Molecular Crystals and Liquid Crystals Science and Technology Section B: Nonlinear Optics, 11 (1-4):
[26] Assessment of light diffraction and focusing of chirped gratings by the beam propagation method
ElShamla, Essam
Hekal, Sherif
Gomaa, Lotfi R.
OPTICS COMMUNICATIONS, 2020, 457
[27] A METHOD OF NUMERICAL STUDY OF THE CONVECTION INFLUENCE ON THE LIGHT-BEAM PROPAGATION
GERASIMOV, BP
ELIZAROVA, TG
DOKLADY AKADEMII NAUK SSSR, 1985, 284 (05): : 1098 - 1100
[28] Light wave propagation in periodic tilted liquid crystal structures: a periodic beam propagation method
Kriezis, EE
Elston, SJ
LIQUID CRYSTALS, 1999, 26 (11) : 1663 - 1669
[29] Wide angle and bi-directional beam propagation using the collocation method for the non-paraxial wave equation
Sharma, A
Agrawal, A
OPTICS COMMUNICATIONS, 2003, 216 (1-3) : 41 - 45
[30] BEAM PROPAGATION IN CIRCULAR CYLINDRICAL COORDINATES USING THE AZIMUTHAL EFFECTIVE INDEX METHOD
HARDY, A
WEISSMAN, Z
MAROM, E
MARCATILI, EAJ
IEEE JOURNAL OF QUANTUM ELECTRONICS, 1992, 28 (04) : 759 - 764

← 1 2 3 4 5 →