Modulated on-axis circular zone plates for a generation of three-dimensional focal curves

Abstract This paper presents a new kind of computer-generated zone plate, which we call a modulated circular zone plate. These plates reconstruct a special class of focal curves. The curves are three-dimensional and lie on the lateral surface of a cylinder. As a particular case, we propose zone plates which are able to focus light on to a line segment along the optical axis. The experimental results illustrate the focusing properties of the zone plates.

[1]  E Champagne.  Optical method for producing Fresnel zone plates. , 1968, Applied optics.

[2]  R. F. Stevens,et al.  Zone-plate interferometers , 1988 .

[3]  Carlos Gómez-Reino,et al.  Diffraction Patterns and Zone Plates Produced by Thin Linear Axicons , 1986 .

[4]  O. Bryngdahl,et al.  Laser beam scanning using computer-generated holograms. , 1976, Applied optics.

[5]  J. Dyson,et al.  Circular and spiral diffraction gratings , 1958, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[6]  J. Cederquist,et al.  Computer-generated holograms for geometric transformations , 1984 .

[7]  A. Papoulis.  Systems and transforms with applications in optics , 1981 .

[8]  Melvin H. Horman,et al.  Zone plate theory based on holography. , 1967, Applied optics.

[9]  D. Leseberg,et al.  Computer generated holograms: cylindrical, conical, and helical waves. , 1987, Applied optics.

[10]  Z. Jaroszewicz.  Conical zone plate , 1988 .

[11]  Olof Bryngdahl,et al.  Computer-generated holograms: Reconstruction of curves in 3-D , 1986 .

[12]  H H Barrett,et al.  Fresnel zone plate imaging of gamma rays; theory. , 1973, Applied optics.

[13]  Olof Bryngdahl,et al.  Optical map transformations , 1974 .

[14]  Toshimitsu Asakura,et al.  Moiré alignment and positioning using a synthetic Fresnel zone plate , 1985 .

[15]  C. Gomez-Reino,et al.  Zone Plates Produced by Cylindrical Wavefronts Recording and Reconstruction , 1982 .

[16]  N Nishida,et al.  Holographic disk scanners for bow-free scanning. , 1983, Applied optics.

[17]  C. Gómez-reino,et al.  Elliptical and hyperbolic zone plates. , 1980, Applied optics.

[18]  J. L. Soret.  Ueber die durch Kreisgitter erzeugten Diffractionsphänomene , 1875 .

[19]  R V Pole,et al.  Integrated Optics: a Report on the 2nd OSA Topical Meeting. , 1975, Applied optics.

[20]  N. Nishida,et al.  Holographic laser scanners using generalized zone plates. , 1982, Applied optics.

[21]  Olof Bryngdahl.  Optical scanner - light deflection using computer-generated diffractive elements , 1975 .

[22]  O. Bryngdahl,et al.  Computer-generated holograms of three-dimensional objects composed of line segments , 1986 .

[23]  J. Heaton,et al.  Off-axis holographic zone plates recorded and reconstructed by cylindrical wavefronts , 1984 .