Wave fields in three dimensions: analysis and synthesis

Distributions of wave fields in three-dimensional domains are analyzed, synthesized, and generated experimentally. Fundamental limits are discussed and sampling conditions are derived for their generation, with use of a single diffractive element. A general design procedure, based on optimization algorithms, is developed and implemented. Experimental results show that special three-dimensional light distributions can be achieved with low-information-content elements in on-axis configurations.

[1]  Richard H. Sherman,et al.  Chaotic communications in the presence of noise , 1993, Optics & Photonics.

[2]  C. Froehly,et al.  Fourier structure of the axial patterns diffracted from optical pupils, examples and application , 1979 .

[3]  Aw Lohmann,et al.  THREE-DIMENSIONAL PROPERTIES OF WAVE-FIELDS , 1978 .

[4]  Joseph Rosen,et al.  One-dimensional beam shaping , 1995 .

[5]  C.E. Shannon,et al.  Communication in the Presence of Noise , 1949, Proceedings of the IRE.

[6]  Joseph Shamir,et al.  Diffractive optics for unconventional light distributions , 1995, Photonics West.

[7]  R. Porter V Generalized Holography with Application to Inverse Scattering and Inverse Source Problems , 1989 .

[8]  A Vanderlugt,et al.  Optimum sampling of Fresnel transforms. , 1990, Applied optics.

[9]  Boris Polyak,et al.  The method of projections for finding the common point of convex sets , 1967 .

[10]  Y. Censor,et al.  Block-iterative projection methods for parallel computation of solutions to convex feasibility problems , 1989 .

[11]  D. Gabor A New Microscopic Principle , 1948, Nature.

[12]  J Shamir,et al.  Control of wave-front propagation with diffractive elements. , 1994, Optics letters.

[13]  C. McCutchen Generalized Aperture and the Three-Dimensional Diffraction Image , 1964 .

[14]  O. Bryngdahl,et al.  I Digital Holography – Computer-Generated Holograms , 1990 .

[15]  Henri H. Arsenault,et al.  An Axial Form of the Sampling Theorem and its Application to Optical Diffraction , 1967 .

[16]  D. Youla,et al.  Image Restoration by the Method of Convex Projections: Part 1ߞTheory , 1982, IEEE Transactions on Medical Imaging.

[17]  A W Lohmann,et al.  Binary fraunhofer holograms, generated by computer. , 1967, Applied optics.

[18]  J. Allebach,et al.  Synthesis of digital holograms by direct binary search. , 1987, Applied optics.

[19]  Joseph Shamir,et al.  Fourier optics described by operator algebra , 1980 .

[20]  James R. Fienup,et al.  Iterative Method Applied To Image Reconstruction And To Computer-Generated Holograms , 1980 .

[21]  J Rosen,et al.  Synthesis of an arbitrary axial field profile by computer-generated holograms. , 1994, Optics letters.

[22]  Wai-Hon Lee,et al.  III Computer-Generated Holograms: Techniques and Applications , 1978 .