Abstract

An analytic method of spatial phase modulation based on Fourier analysis is introduced for the design of a planar waveguide demultiplexer with a flat-top spectral response. An analytic formula for an etched diffraction grating demultiplexer is derived using the scalar diffraction theory. The spatial phase modulation is realized by slightly adjusting each grating facet's position according to the analytic formula to obtain a spectral response with a flat top and sharp transitions as well as a good dispersion characteristic. The analytic formula is characterized by two parameters: a transverse shift distance and a profile exponent for the phase modulation. A linear relation between the passband width and the transverse shift distance is given, and an optimal figure of merit of the spectral response is obtained by choosing an appropriate profile exponent. A numerical example of a typical SiO 2 etched diffraction grating demultiplexer is used to demonstrate the advantages of this method.

© 2003 IEEE

Fast analysis method for polarization-dependent performance of a concave diffraction grating with total-internal-reflection facets

Jun Song, Jian-Jun He, and Sailing He
J. Opt. Soc. Am. A 22(9) 1947-1951 (2005)

Sidelobe suppression design of etched diffraction grating demultiplexers using optimized air trenches in front of each output waveguide

Jun Song, Ning Zhu, and Sailing He
J. Opt. Soc. Am. A 23(10) 2645-2649 (2006)

Low-loss, flat-passband and athermal arrayedwaveguide grating multi/demultiplexer

Koichi Maru and Yukio Abe
Opt. Express 15(26) 18351-18356 (2007)

Analysis and design of a concave diffraction grating with total-internal-reflection facets by a hybrid diffraction method

Zhimin Shi, Jian-Jun He, and Sailing He
J. Opt. Soc. Am. A 21(7) 1198-1206 (2004)

Analysis of the loss resulting from point defects for an etched diffraction grating demultiplexer by using the method of moments

Jun Song, Ning Zhu, and Sailing He
J. Opt. Soc. Am. A 22(8) 1620-1623 (2005)