When unity reflectance is approached, the Fourier-transform method of calculating the reflectance spectrum of an optical grating modulated by a slowly varying envelope becomes unacceptably inaccurate. The modified Fourier transform method of Bovard [Appl. Opt. <b>29,</b> 24 (1990)] can achieve complete accuracy for quarter-wave gratings. We report herein the extension of Bovard’s method to non-quarter-wave gratings. We demonstrate the accurate deployment of our simplified modified Fourier-transform method to apodized linear gratings and optically apodized nonlinear gratings.
© 2002 Optical Society of America
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers
(070.2590) Fourier optics and signal processing : ABCD transforms
(070.4340) Fourier optics and signal processing : Nonlinear optical signal processing
(230.4320) Optical devices : Nonlinear optical devices
Tim K. L. Wong, Lukasz Brzozowski, and Edward H. Sargent, "Analysis of Non-Quarter-Wave Grating by a Modified Fourier-Transform Method," Appl. Opt. 41, 6763-6767 (2002)