Opt Quant Electron (2007) 39:571–575
DOI 10.1007/s11082-007-9108-2
Design and simulation of apodized wavelength filters
using Gaussian-distributed sidewall grating
Tzong-Yow Tsai · Yen-Cheng Fang · Zhi-Cheng Lee ·
Jong-Rong Chen
Received: 18 February 2005 / Accepted: 11 July 2007 / Published online: 4 August 2007
© Springer Science+Business Media, LLC 2007
Abstract An accurate design for an apodized integrated optical wavelength filter using
Gaussian-distributed sidewall Bragg grating is proposed, 2-dimensionally simulated and
analyzed using the finite-difference time-domain method. It is verified that for various grating
periods, the central wavelengths of the reflection bands are all fixed at designed 1.55 μm with
the side lobes well suppressed.
Keywords Apodized Bragg grating · Finite difference time domain (FDTD) ·
Photonic band gap (PBG)
1 Introduction
Bragg grating is an essential component used for directional coupling and wavelength filtering
in modern optical communication. It has been widely studied and fabricated in single-mode
optical fibers, as well-known fiber bragg grating (FBG) (Hill and Meltz 1997), and surface-
corrugated waveguides (Spuehler and Erni 2000; Giorgio et al. 2002; Wiesmann et al. 2003)
in photonic integrated circuits (PIC). The reflection bandwidth and the band position of Bragg
grating are determined by the effective refractive indices of guided modes and the grating
period. Manufacture of grating-on-top ridge waveguides is challenging because effective
refractive indices are generally sensitive to the etched depths which are delicate to stably
control. Similar grating effects can be obtained by grating etched on the waveguide sidewalls.
The advantage of using sidewall grating is that the device can be fabricated in one single
etching process instead of multiple delicate etching processes required for a grating-on-top
waveguide. Besides, the alternating effective indices of sidewall grating are determined by
the lateral guiding widths that are defined in the procedure of photolithography and less
dependent of the etching process. In addition, for most of ridge waveguides, the lateral
T.-Y. Tsai (B ) · Y.-C. Fang · Z.-C. Lee · J.-R. Chen
Lasers and Photonics Laboratory 92A71, The Institute of Microelectronics & The Department of Electrical
Engineering, National Cheng Kung University, #1 University Road, 701, Tainan, Taiwan ROC
e-mail: tzongyow@mail.ncku.edu.tw
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