OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 22, Iss. 14 — Jul. 15, 1983
  • pp: 2075–2080

Algorithm improvements for optical eigenfunction computers

John Gruninger and H. J. Caulfield  »View Author Affiliations

Applied Optics, Vol. 22, Issue 14, pp. 2075-2080 (1983)

View Full Text Article

Enhanced HTML    Acrobat PDF (709 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Prior iterative approaches to optical eigenfunction solution have at least three major problems: slow convergence (sometimes); decreasing accuracy after the first solution; and imperfect parallel renormalization (leading to poor use of system dynamic range and hence poor accuracy). We introduce new approaches and algorithms to solve these problems. The new algorithms lead to a tight error bound on eigenvalues and an automatic handling of degenerate or near degenerate eigenvalues. Applications are discussed.

© 1983 Optical Society of America

Original Manuscript: January 13, 1983
Published: July 15, 1983

John Gruninger and H. J. Caulfield, "Algorithm improvements for optical eigenfunction computers," Appl. Opt. 22, 2075-2080 (1983)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. R. A. Heinz, J. O. Artman, S. H. Lee, Appl. Opt. 9, 2161 (1970). [CrossRef] [PubMed]
  2. M. A. Monahan, R. P. Bocker, K. Bromley, A. Louie, “Incoherent Electro-Optical Processing with CCD’s,” at International Optical Computing Conference Digest (IEEE Catalog 75 CH0941-5C) (Apr. 1975).
  3. J. W. Goodman, A. R. Dias, L. M. Woody, Opt. Lett. 2, 1 (1978). [CrossRef] [PubMed]
  4. H. J. Caulfield, W. T. Rhodes, M. J. Foster, S. Horvitz, Opt. Commun. 40, 86 (1981). [CrossRef]
  5. H. J. Caulfield, D. Dvore, J. Goodman, W. T. Rhodes, Appl. Opt. 20, 2283 (1981).
  6. B. V. K. Vijaya Kumar, D. Casasent, Appl. Opt. 20, 3707 (1981). [CrossRef]
  7. D. Psaltis, D. Casasent, M. Carlotto, Opt. Lett. 4, 348 (1979). [CrossRef] [PubMed]
  8. J. W. Goodman, M. S. Song, Appl. Opt. 21, 502 (1982). [CrossRef] [PubMed]
  9. J. H. Wilkinson, The Algebraic Eigenvalue Problem (Clarendon, Oxford, 1965).
  10. H. Hotelling, J. Educ. Psychol. 24, 417, 498 (1933). [CrossRef]
  11. A. Ralston, First Course in Numerical Analysis (McGraw-Hill, New York, 1965), p. 486.
  12. A. Gamba, Am. J. Phys. 49, 187 (1981). [CrossRef]
  13. A. S. Householder, Principles of Numerical Analysis (McGraw-Hill, New York, 1953), p. 156.

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.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited