Title :
Time-domain beam propagation method and its application to photonic crystal circuits
Author :
Koshiba, Masanori ; Tsuji, Yasuhide ; Hikari, Masafumi
Author_Institution :
Div. of Electron. & Inf. Eng., Hokkaido Univ., Sapporo, Japan
Abstract :
A time-domain beam propagation method (BPM) based on the finite-element scheme is described for the analysis of reflections of both transverse electric and transverse magnetic polarized pulses in waveguiding structures containing arbitrarily shaped discontinuities. In order to avoid nonphysical reflections from the computational window edges, the perfectly matched layer boundary condition is introduced. The present algorithm using the Pade approximation is, to our knowledge, the first time-domain beam propagation method which can treat wide-band optical pulses. After validating this method for an optical grating with modulated refractive indexes, various photonic crystal circuit components are simulated.
Keywords :
approximation theory; boundary-value problems; diffraction gratings; finite element analysis; integrated optoelectronics; optical waveguide theory; photonic band gap; time-domain analysis; Pade approximation; TE polarized pulses; TM polarized pulses; arbitrarily shaped discontinuities; computational window edges; finite-element scheme; modulated refractive indexes; nonphysical reflections; optical grating; perfectly matched layer boundary condition; photonic crystal circuit components; photonic crystal circuits; reflections; time-domain beam propagation method; waveguiding structures; wide-band optical pulses; Approximation algorithms; Boundary conditions; Finite element methods; Magnetic analysis; Optical modulation; Optical polarization; Optical pulse shaping; Optical reflection; Perfectly matched layers; Time domain analysis;
Journal_Title :
Lightwave Technology, Journal of
