Propagation of 3-D Beams Using a Finite-Difference Algorithm: Practical Considerations

被引:0
|
作者
Paxton, Alan H. [1 ]
机构
[1] USAF, Res Lab, Directed Energy Directorate, Kirtland AFB, NM 87117 USA
来源
LASER RESONATORS AND BEAM CONTROL XII | 2010年 / 7579卷
关键词
beam propagation; wave optics; paraxial wave equation; finite difference;
D O I
10.1117/12.847942
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We discuss practical aspects of the use of the finite-difference, alternating-direction implicit (ADI), numerical solution of the paraxial wave equation, for the free-space propagation of light beams. Results of calculations solving the finite-difference equations are compared with fresnel-integral solutions. Calculations are for round beams, but the field is represented in cartesian coordinates. Modes for empty unstable resonators are also obtained using the finite-difference algorithm and are compared with fresnel-integral solutions.
引用
收藏
页数:8
相关论文
共 50 条
  • [41] The 3-D Unconditionally Stable Associated Hermite Finite-Difference Time-Domain Method
    Huang, Zheng-Yu
    Shi, Li-Hua
    Chen, Bin
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2020, 68 (07) : 5534 - 5543
  • [42] DIFFRACTION COEFFICIENTS FOR FLAT-BOTTOMED HOLES FROM 3-D FINITE-DIFFERENCE CALCULATIONS
    TEMPLE, JAG
    ULTRASONICS, 1993, 31 (01) : 3 - 12
  • [43] FORMULATION OF HIGH-ORDER FINITE-DIFFERENCE APPROXIMATIONS TO THE 3-D NEUTRON DIFFUSION EQUATION
    BENGHANEM, M
    ROHACH, AF
    ANNALS OF NUCLEAR ENERGY, 1987, 14 (05) : 227 - 234
  • [44] 3-D refractive index adaptive gridding for finite-difference time-domain methods
    ISE Intgd. Systems Engineering AG, 8005 Zürich, Switzerland
    Microwave Opt Technol Lett, 2 (109-114):
  • [45] A finite-difference time-domain algorithm optimized for arbitrary propagation angles
    Wang, SM
    Teixeira, FL
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2003, 51 (09) : 2456 - 2463
  • [46] Quench Transient Simulation in a Self-Protected Magnet With a 3-D Finite-Difference Scheme
    Ravaioli, E.
    Arnegaard, O. Tranum
    Verweij, A.
    Wozniak, M.
    IEEE TRANSACTIONS ON APPLIED SUPERCONDUCTIVITY, 2022, 32 (06)
  • [47] Stable wide-angle Fourier finite-difference downward extrapolation of 3-D wavefields
    Biondi, B
    GEOPHYSICS, 2002, 67 (03) : 872 - 882
  • [48] Anisotropic finite-difference algorithm for modeling elastic wave propagation in fractured coalbeds
    Pei, Zhenglin
    Fu, Li-Yun
    Sun, Weijia
    Jiang, Tao
    Zhou, Binzhong
    GEOPHYSICS, 2012, 77 (01) : C13 - C26
  • [49] Analysis of modes in a freestanding microsquare resonator by 3-D finite-difference time-domain
    Chen, Q
    Huang, YZ
    Guo, WH
    Yu, LJ
    IEEE JOURNAL OF QUANTUM ELECTRONICS, 2005, 41 (07) : 997 - 1001
  • [50] Modelling of lossy curved surfaces in the 3-D frequency-domain finite-difference methods
    Maekinen, Riku M.
    De Gersem, Herbert
    Weiland, Thomas
    Kivikoski, Markku A.
    INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS, 2006, 19 (05) : 421 - 431