Analysis of near-field characteristics of a diffractive optical laser beam profile shaper using a high-accuracy finite difference time domain method

Saswatee Banerjee; James B. Cole; Toyohiko Yatagai

doi:10.1117/12.486445

23 December 2002 Analysis of near field characteristics of a diffractive optical laser beam profile shaper using a high accuracy finite difference time domain method

Saswatee Banerjee, James B. Cole, Toyohiko Yatagai

Author Affiliations +

Proceedings Volume 4832, International Optical Design Conference 2002; (2002) https://doi.org/10.1117/12.486445
Event: International Optical Design Conference 2002, 2002, Tucson, AZ, United States

Abstract

The finite-difference time-domain (FDTD) method as realized in the Yee algorithm is very useful for solving the analytically intractable diffraction problems that arise in the design of diffractive optical elements (DOE). The error, ε, of the Yee algorithm is rather large. We introduce a new high accuracy version of the Yee algorithm based on nonstandard finite differences. We have verified its performance by comparing with known analytical solutions. We have used this algorithm to study the near field (0 - 10 wavelengths) diffraction patterns of three binary phase gratings. Grating (1) has a constant period, while grating (2) has a variable one. Grating (3) is generated by interlacing grating (1) with (2). The period of grating (1) is on the order of a wavelength. Some of these computed fields display interesting and possibly useful Fourier spectra.

Citation Download Citation

Saswatee Banerjee, James B. Cole, and Toyohiko Yatagai "Analysis of near field characteristics of a diffractive optical laser beam profile shaper using a high accuracy finite difference time domain method", Proc. SPIE 4832, International Optical Design Conference 2002, (23 December 2002); https://doi.org/10.1117/12.486445

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