OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 39, Iss. 32 — Nov. 10, 2000
  • pp: 5921–5928

Diffractive optical element design with memory-matrix-based identification methodology

Dhawat E. Pansatiankul and Alexander A. Sawchuk  »View Author Affiliations

Applied Optics, Vol. 39, Issue 32, pp. 5921-5928 (2000)

View Full Text Article

Enhanced HTML    Acrobat PDF (173 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We present a new technique for the design of diffractive optical elements (DOE’s) that is based on previous nonlinear least squares (NLS) and phase-shifting quantization methods [Appl. Opt. 36, 7297–7306 (1997)]. The technique uses a memory-matrix-based identification (MMBI) optimization procedure. We compare results from the MMBI method with those from iterative Fourier transform and NLS methods. In comparison, the MMBI DOE designs produce better-quality reconstructions for DOE’s with eight or more fabrication phase levels and generally have a higher signal-to-noise ratio and better uniformity.

© 2000 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(070.4560) Fourier optics and signal processing : Data processing by optical means
(100.5090) Image processing : Phase-only filters
(200.2610) Optics in computing : Free-space digital optics
(200.4650) Optics in computing : Optical interconnects

Original Manuscript: December 21, 1999
Published: November 10, 2000

Dhawat E. Pansatiankul and Alexander A. Sawchuk, "Diffractive optical element design with memory-matrix-based identification methodology," Appl. Opt. 39, 5921-5928 (2000)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. Jahns, S. H. Lee, Optical Computing Hardware (Academic, San Diego, Calif., 1994).
  2. B. Hoanca, A. A. Sawchuk, “Cellular interconnects optimization algorithm for optoelectronic single-instruction multiple-data,” Appl. Opt. 37, 871–883 (1998). [CrossRef]
  3. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, New York, 1996).
  4. M. S. Kim, C. C. Guest, “Simulated annealing algorithm for binary phase only filters in pattern classification,” Appl. Opt. 29, 1203–1208 (1990). [CrossRef] [PubMed]
  5. R. W. Gerchberg, W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).
  6. C.-H. Chen, A. A. Sawchuk, “Nonlinear least-squares and phase-shifting quantization methods for diffractive optical element design,” Appl. Opt. 36, 7297–7306 (1997). [CrossRef]
  7. F. Wyrowski, “Diffractive optical elements: iterative calculation of quantized, blazed phase structures,” J. Opt. Soc. Am. A 7, 961–969 (1990). [CrossRef]
  8. F. E. Udwadia, W. Proskurowski, “A memory-matrix-based identification methodology for structural and mechanical system,” Earthquake Eng. Struct. Dyn. 27, 1465–1481 (1998). [CrossRef]
  9. R. Kalaba, F. Udwadia, “An associative memory approach to the rapid identification of nonlinear structural and mechanical systems,” J. Optim. Theory Appl. 76, 207–223 (1993). [CrossRef]
  10. Routine leastsq has been replaced with lsqnonlin. Although leastsq currently works, it will be removed from the toolbox in the future.
  11. matlab software (Math Works, Inc., Natick, Mass., 1994).
  12. C.-H. Chen, B. Hoanca, C. B. Kuznia, A. A. Sawchuk, J.-M. Wu, “TRANslucent smart pixel array (TRANSPAR) chips for high throughput networks and SIMD signal processing,” IEEE J. Sel. Top. Quantum Electron. 5, 316–329 (1999). [CrossRef]
  13. C. B. Kuznia, “Cellular hypercube interconnections for optoelectronic smart pixel cellular arrays,” Ph.D. dissertation (University of Southern California, Los Angeles, Calif., 1994).
  14. J.-F. Lin, A. A. Sawchuk, “Optoelectronic communication speedup on mesh processors using reduced cellular hypercube interconnections,” in Optical Computing, Vol. 10 of 1995 OSA Technical Dig Series (Optical Society of America, Washington, D.C., 1995), pp. 269–271.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3
Fig. 4

Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited