SPECTRAL-DOMAIN FORMULATION OF PILLAR-TYPE PHOTONIC CRYSTAL WAVEGUIDE DEVICES OF INFINITE EXTENT
Author(s) -
Yoshimasa Nakatake,
Koki Watanabe
Publication year - 2013
Publication title -
electromagnetic waves
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.437
H-Index - 89
eISSN - 1559-8985
pISSN - 1070-4698
DOI - 10.2528/pier13101404
Subject(s) - pillar , photonic crystal , type (biology) , waveguide , domain (mathematical analysis) , optics , optoelectronics , materials science , finite difference time domain method , photonics , physics , mathematics , engineering , mathematical analysis , geology , mechanical engineering , paleontology
This paper presents a novel formulation for the modeling of electromagnetic wave propagation in pillar-type photonic crystal waveguide devices. The structure under consideration is formed in an inflnitely extended pillar-type photonic crystal and the wave propagation is controlled by removing some cylinders from the original periodic structure. The structure is considered as cascade connections of straight waveguides, and the input/output properties of the devices are obtained using an analysis method of multilayer structure. Each layer includes periodic circular cylinder array with defects, and the transfer-matrix is obtained by using a spectral-domain approach based on the recursive transition-matrix algorithm with the lattice sums technique and the pseudo-periodic Fourier transform.
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