PHOTONIC BAND-GAPS OF TRANSVERSE-ELECTRIC MODES IN 2-DIMENSIONALLY PERIODIC MEDIA

被引：32
|
作者：
VILLENEUVE, PR
PICHE, M
机构：
[1] Equipe Laser et Optique Guidée, Département de Physique, Université Laval Québec, QC
来源：
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 1991年 / 8卷 / 08期
关键词：
D O I：
10.1364/JOSAA.8.001296
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
A rigorous analysis of the propagation of transverse-electric modes in two-dimensionally periodic media is presented, based on an exact solution of the wave equation. The modulation functions studied lead to Mathieu and Hill equations. It is shown that the complete inhibition of the propagation of transverse-electric modes in a modulated plane is possible. Several modulation functions of the permittivity are studied in order to find the one for which the modulation depth necessary for the observation of a frequency band gap is minimized. In particular, thin grids and closely packed arrays of square rods are considered. The allowed angles of propagation of waves whose frequency is not contained within a forbidden band are also presented.
引用
收藏
页码：1296 / 1305
页数：10
相关论文
共 18 条
  • [1] CONFINEMENT AND INHIBITION OF TRANSVERSE-ELECTRIC MODES IN A ONE-DIMENSIONALLY PERIODIC MEDIUM
    VILLENEUVE, PR
    PICHE, M
    OPTICS COMMUNICATIONS, 1990, 79 (3-4) : 165 - 170
  • [2] Photonic band-gaps in periodic lattices arrays
    Alvarado-Mendez, E.
    Trejo-Duran, M.
    Andrade-Lucio, J. A.
    Estudillo-Ayala, J. M.
    Sukhoivanov, I.
    Avina-Cervantes, J. G.
    Ortiz-Gutierrez, M.
    LFNM 2006: 8TH INTERNATIONAL CONFERENCE ON LASER AND FIBER-OPTICAL NETWORKS MODELING, PROCEEDINGS, 2006, : 1 - +
  • [3] Photonic band-gaps in periodic lattices arrays
    Alvarado-Mendez, E.
    Trejo-Duran, M.
    Andrade-Lucio, J. A.
    Estudillo-Ayala, J. M.
    Avina-Cervantes, J. G.
    Iturbe-Castillo, M. D.
    Ortiz-Gutierrez, M.
    MMET 2006: 11TH INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ELECTROMAGNETIC THEORY, CONFERENCE PROCEEDINGS, 2006, : 415 - +
  • [4] PHOTONIC BAND-GAPS IN EXPERIMENTALLY REALIZABLE PERIODIC DIELECTRIC STRUCTURES
    CHAN, CT
    HO, KM
    SOUKOULIS, CM
    EUROPHYSICS LETTERS, 1991, 16 (06): : 563 - 568
  • [5] IMPURITY MODES IN ONE-DIMENSIONAL PERIODIC-SYSTEMS - THE TRANSITION FROM PHOTONIC BAND-GAPS TO MICROCAVITIES
    STANLEY, RP
    HOUDRE, R
    OESTERLE, U
    ILEGEMS, M
    PHYSICAL REVIEW A, 1993, 48 (03): : 2246 - 2250
  • [6] PHOTONIC BAND-GAPS IN PERIODIC DIELECTRIC STRUCTURES - THE SCALAR-WAVE APPROXIMATION
    DATTA, S
    CHAN, CT
    HO, KM
    SOUKOULIS, CM
    PHYSICAL REVIEW B, 1992, 46 (17): : 10650 - 10656
  • [7] PHOTONIC BAND-GAPS IN A 2-DIMENSIONAL GRAPHITE STRUCTURE
    CASSAGNE, D
    JOUANIN, C
    BERTHO, D
    PHYSICAL REVIEW B, 1995, 52 (04): : R2217 - R2220
  • [8] PHOTONIC BAND-GAPS IN 2-DIMENSIONAL SQUARE AND HEXAGONAL LATTICES
    VILLENEUVE, PR
    PICHE, M
    PHYSICAL REVIEW B, 1992, 46 (08): : 4969 - 4972
  • [9] PHOTONIC BAND-GAPS AND DEFECTS IN 2 DIMENSIONS - STUDIES OF THE TRANSMISSION COEFFICIENT
    SIGALAS, M
    SOUKOULIS, CM
    ECONOMOU, EN
    CHAN, CT
    HO, KM
    PHYSICAL REVIEW B, 1993, 48 (19): : 14121 - 14126
  • [10] PHOTONIC BAND-GAPS IN 3-DIMENSIONS - NEW LAYER-BY-LAYER PERIODIC STRUCTURES
    HO, KM
    CHAN, CT
    SOUKOULIS, CM
    BISWAS, R
    SIGALAS, M
    SOLID STATE COMMUNICATIONS, 1994, 89 (05) : 413 - 416
12