Abstract

The effects of contrast in the Fresnel zone plate on the amplitude in the focal point due to a normally incident plane wave are obtained by direct evaluation of the Fresnel–Kirchhoff diffraction integral. The change in focal-point amplitude due to smoothing the ordinary, discontinuous, “square-wave” transmission function into a continuous, “sine-wave” function is also calculated. Finally, an expression is derived for the amplitude in the point image due to a plane wave impinging on the zone plate at a small angle of incidence.

© 1966 Optical Society of America

Fresnel Zone-Plate Diffraction Patterns

Murk Bottema
J. Opt. Soc. Am. 59(12) 1632-1638 (1969)

Diffraction Characteristics of a Linear Zone Plate*

H. E. Hart, J. B. Scrandis, R. Mark, and R. D. Hatcher
J. Opt. Soc. Am. 56(8) 1018-1023 (1966)

Archaic focusing properties of Fresnel zone plates

Jing-Ao Sun and Anni Cai
J. Opt. Soc. Am. A 8(1) 33-35 (1991)

Fresnel-Zone-Plate Spectrometer with Central Stop*

P. N. Keating, R. K. Mueller, and T. Sawatari
J. Opt. Soc. Am. 62(8) 945-948 (1972)

Imaging extended objects with a Fresnel-zone-plate aperture

R. M. Henkelman and M. J. Bronskill
J. Opt. Soc. Am. 64(2) 134-137 (1974)