Iterative optimization of diffractive phase elements simultaneously implementing several optical functions.

The design of diffractive optical elements that incorporate several optical functions in a single element is discussed. The technique used involves iterative optimization. Aprevious paper is continued, in which initial results with few sampling points were reported. Here new results that involve a large number of sampling points are reported. Because the algorithm is computationally intensive with a large number of data points, the parallel implementation of the algorithm on a MASPAR machine is described. MASPAR is a single-instruction multiple-data machine with 16,384 processors. The computer simulations discussed involve simultaneous wavelength demultiplexing, focusing, and the filtering out of a particular wavelength component. It is shown that satisfactory designs of diffractive optical elements can be achieved by the assignment of only a small number of sampling points on the output plane that adequately specify what is required at each wavelength.

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

[2]  R. Gerchberg A practical algorithm for the determination of phase from image and diffraction plane pictures , 1972 .

[3]  Y Ishii,et al.  Wavelength demultiplexer in multimode fiber that uses optimized holographic optical elements. , 1993, Applied optics.

[4]  M. Taghizadeh,et al.  Kinoform array illuminators in fused silica , 1993 .

[5]  Kyohei Sakuda,et al.  Computer-generated holograms: application to intensity variable and wavelength demultiplexing holograms. , 1992, Applied optics.

[6]  Kenneth E. Batcher,et al.  Design of a Massively Parallel Processor , 1980, IEEE Transactions on Computers.

[7]  F Wyrowski,et al.  Iterative techniques to integrate different optical functions in a diffractive phase element. , 1991, Applied optics.

[8]  O. Bryngdahl,et al.  Iterative Fourier-transform algorithm applied to computer holography , 1988 .

[9]  Xin Tan,et al.  Iterative optimization approach for the design of diffractive phase elements simultaneously implementing several optical functions , 1994 .

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

[11]  R Dändliker,et al.  Optimized kinoform structures for highly efficient fan-out elements. , 1992, Applied optics.

[12]  Hans Peter Herzig,et al.  Beam Shaping of High-power Laser Diode Arrays by Continuous Surface-relief Elements , 1992 .

[13]  Yaakov Amitai Design of wavelength-division multiplexing/demultiplexing using substrate-mode holographic elements , 1993 .

[14]  R R Neurgaonkar,et al.  Electric-field multiplexing/demultiplexing of volume holograms in photorefractive media. , 1993, Optics letters.

[15]  Norbert Streibl,et al.  Beam Shaping with Optical Array Generators , 1989 .