Modeling of 2D photonic crystals with a boundary integral equation

被引：1
|
作者：
Cho, Min Hyung [1 ]
Lee, Y. P.
Cai, Wei
机构：
[1] Hanyang Univ, Quantum Photon Sci Res Ctr, Seoul 133791, South Korea
[2] Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA
来源：
JOURNAL OF THE KOREAN PHYSICAL SOCIETY | 2007年 / 51卷 / 04期
关键词：
photonic crystal; Maxwell's equation; Helmholtz equation; integral equation; numerical analysis;
D O I：
10.3938/jkps.51.1507
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A boundary integral equation for two-dimensional (2D) photonic crystals, which is based on the Green's function of the 2D scalar Helmholtz equation and Huygen's principle, is formulated, discretized with the Nystrom method, and solved with generalized minimal residuals (GMRES). In order to validate the accuracy of the method, the scattering of the plane wave by a single cylinder is calculated and compared with the analytical solution. Then, the simulation is extended to the multiple rods with various configurations.
引用
收藏
页码：1507 / 1512
页数：6
相关论文
共 50 条
  • [1] Modeling of 2D photonic crystals waveguides
    Benachour, L.
    Hobar, F.
    [J]. JOURNAL OF NEW TECHNOLOGY AND MATERIALS, 2018, 8 (01) : 144 - 150
  • [2] Stochastic modeling of 2D photonic crystals
    Wafa M.I.
    El-Batawy Y.M.
    El-Naggar S.A.
    [J]. Optical and Quantum Electronics, 2021, 53 (05)
  • [3] 2D computer modeling of waveguiding in 2D photonic crystals
    Maksymov, IS
    Churyumov, GI
    [J]. LFNM'2002: PROCEEDINGS OF THE 4TH INTERNATIONAL WORKSHOP ON LASER AND FIBER-OPTICAL NETWORKS MODELING, 2002, : 181 - 184
  • [4] Theory of diffraction for 2D photonic crystals with a boundary
    Felbacq, D
    Centeno, E
    [J]. OPTICS COMMUNICATIONS, 2001, 199 (1-4) : 39 - 45
  • [5] Modeling of 2D photonic crystals by using the Method of Lines
    Barcz, A
    Helfert, SF
    Pregla, R
    [J]. ICTON 2002: 4TH INTERNATIONAL CONFERENCE ON TRANSPARENT OPTICAL NETWORKS AND EUROPEAN SYMPOSIUM ON PHOTONIC CRYSTALS, VOL 2, 2002, : 45 - 48
  • [6] Green functions and integral equations for 2D and 3D photonic crystals
    Davidovich, MV
    [J]. SARATOV FALL MEETING 2003: LASER PHYSICS AND PHOTONICS, SPECTROSCOPY, AND MOLECULAR MODELING IV, 2004, 5476 : 30 - 37
  • [7] COUPLED MODE EQUATION MODELING FOR OUT-OF-PLANE GAP SOLITONS IN 2D PHOTONIC CRYSTALS
    Dohnal, Tomas S.
    Doerfler, Willy
    [J]. MULTISCALE MODELING & SIMULATION, 2013, 11 (01): : 162 - 191
  • [8] A BOUNDARY INTEGRAL EQUATION FORMULATION FOR OPTIMIZATION OF 2D ACOUSTIC CLOAKING
    Iemma, Umberto
    Burghignoli, Lorenzo
    [J]. PROCEEDINGS OF THE 17TH INTERNATIONAL CONGRESS ON SOUND AND VIBRATION, 2010,
  • [9] A SPECTRAL BOUNDARY INTEGRAL-EQUATION METHOD FOR THE 2D HELMHOLTZ-EQUATION
    HU, FQ
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1995, 120 (02) : 340 - 347
  • [10] Modeling 2D Gyromagnetic Photonic Crystals by Modified FDTD Method
    李清波
    伍瑞新
    杨艳
    孙慧玲
    [J]. Chinese Physics Letters., 2013, 30 (07) - 111
12345