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

JOSA A, Vol. 15, Issue 7, pp. 1822-1837 (1998)

http://dx.doi.org/10.1364/JOSAA.15.001822

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### Abstract

Various integral diffraction methods are systematically unified into a single framework, clearly illustrating the interconnections among the numerous scalar and rigorous formulations. This hierarchical depiction of the integral methods makes clear the specific approximations inherent in each integral method. The scalar methods are compared in detail with a rigorous open-region formulation of the boundary element method (BEM). The rigorous BEM provides a reference method for accurately determining the diffracted fields for both TE and TM incidence. The rigorous BEM and the various scalar methods are then applied to the case of focusing of normally incident plane waves by diffractive cylindrical lenses with

© 1998 Optical Society of America

**OCIS Codes**

(080.1010) Geometric optics : Aberrations (global)

(080.2720) Geometric optics : Mathematical methods (general)

**History**

Original Manuscript: November 11, 1997

Revised Manuscript: February 2, 1998

Manuscript Accepted: February 9, 1998

Published: July 1, 1998

**Citation**

Jon M. Bendickson, Elias N. Glytsis, and Thomas K. Gaylord, "Scalar integral diffraction methods: unification, accuracy, and comparison with a rigorous boundary element method with application to diffractive cylindrical lenses," J. Opt. Soc. Am. A **15**, 1822-1837 (1998)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-7-1822

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