Abstract

A method that approximates a diffraction formula to the Fourier integral formula by the application of a coordinate transformation is proposed, and it is proved to be a superior and more accurate approximation when it is applied to focusing systems under a nonsine condition. Based on this approximation, the condition that gives the diffraction focus position is derived by the application of two methods. The first is applicable to rotationally symmetrical aberrations such as spherical aberration, and the second is a more general method that utilizes the standard deviation of a wave aberration. These methods are actually applied to a grating lens as a way to study both chromatic aberration characteristics and oblique incidence characteristics.

© 1994 Optical Society of America

Aberrations and convergence characteristics of a concentric-circular focusing grating coupler: analysis

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Appl. Opt. 34(31) 7361-7371 (1995)

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Coating-induced wave-front aberrations: on-axis astigmatism and chromatic aberration in all-reflecting systems

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