Abstract

A novel two-region formulation of the rigorous electromagnetic boundary element method (BEM) is developed and applied to practical diffractive cylindrical lenses of continuous profile and with discrete levels (32, 8, and 2). The performance of these diffractive lenses is presented for incident waves of TE and TM polarization, for a range of beam profiles, and for normal and nonnormal incidence. An optimum width of the Gaussian beam is determined. The BEM is shown to be accurate and versatile, providing the numerical and graphical results that are needed for analysis and design of diffractive elements.

© 1996 Optical Society of America

Collimating cylindrical diffractive lenses: rigorous electromagnetic analysis and scalar approximation

Elias N. Glytsis, Michael E. Harrigan, Koichi Hirayama, and Thomas K. Gaylord
Appl. Opt. 37(1) 34-43 (1998)

Scalar integral diffraction methods: unification, accuracy, and comparison with a rigorous boundary element method with application to diffractive cylindrical lenses

Jon M. Bendickson, Elias N. Glytsis, and Thomas K. Gaylord
J. Opt. Soc. Am. A 15(7) 1822-1837 (1998)

Effects of fabrication errors on the performance of cylindrical diffractive lenses: rigorous boundary-element method and scalar approximation

Elias N. Glytsis, Michael E. Harrigan, Thomas K. Gaylord, and Koichi Hirayama
Appl. Opt. 37(28) 6591-6602 (1998)

Rigorous electromagnetic analysis of diffraction by finite-number-of-periods gratings

K. Hirayama, E. N. Glytsis, and T. K. Gaylord
J. Opt. Soc. Am. A 14(4) 907-917 (1997)

Finite-substrate-thickness cylindrical diffractive lenses: exact and approximate boundary-element methods

Koichi Hirayama, Ken Igarashi, Yoshio Hayashi, Elias N. Glytsis, and Thomas K. Gaylord
J. Opt. Soc. Am. A 16(6) 1294-1302 (1999)