OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 35, Iss. 8 — Mar. 10, 1996
  • pp: 1195–1204

Decomposition of two-dimensional microlaser patterns

Hans Raj Nahata and Miles Murdocca  »View Author Affiliations

Applied Optics, Vol. 35, Issue 8, pp. 1195-1204 (1996)

View Full Text Article

Enhanced HTML    Acrobat PDF (614 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



For an ordinary individually addressable microlaser array, a separate control line is used for each microlaser, which requires a large number of control lines for even a small array. An organization that reduces the width of the control stream and simplifies packaging is matrix addressing, in which microlasers are arranged at the crossings of horizontal and vertical control lines. We consider the problem of decomposing arbitrary two-dimensional microlaser patterns into matrix-addressable patterns that are applied time sequentially to realize the target pattern. We present a mathematical model for the decomposition process and present an algorithm for optimal decomposition. We also consider bake factor, in which no more than N microlasers in a neighborhood of M (where N < M) are enabled, which avoids thermal overload by limiting the density of enabled microlasers. We conclude with a case study and show that, for completely arbitrary two-dimensional patterns, the average number of time-sequential patterns is less than the number of rows in a square array.

© 1996 Optical Society of America

Original Manuscript: July 6, 1995
Revised Manuscript: November 14, 1995
Published: March 10, 1996

Hans Raj Nahata and Miles Murdocca, "Decomposition of two-dimensional microlaser patterns," Appl. Opt. 35, 1195-1204 (1996)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. L. Jewell, J. P. Harbison, A. Scherer, Y. H. Lee, L. T. Florez, “Vertical-cavity surface-emitting lasers: design, growth, fabrication, characterization,” IEEE J. Quantum Electron. 27, 1332–1346 (1991).
  2. R. A. Morgan, “Vertical cavity surface emitting lasers,” in Miniature and Micro-Optics and Micromechanics, N.C. Gallagher, C. S. Roychoudhuri, eds., Proc. Soc. Photo-Opt. Instrum. Eng.1992 (1993).
  3. H. R. Nahata, M. J. Murdocca, “Decomposition method for matrix addressable microlaser arrays,” in Optical Computing, Vol. 10 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), pp. 26–28.
  4. E. J. McCluskey, Introduction to the Theory of Switching Circuits (McGraw-Hill, New York, 1965).
  5. T. H. Cormen, R. L. Rivest, C. E. Leiserson, Introduction to Algorithms (MIT, Cambridge, Mass., 1990).
  6. E. Balas, M. Padberg, “Set partitioning,” SIAM (Soc. Ind. Appl. Math.) Rev. 18, 710–760 (1976).
  7. E. Balas, “Some valid inequalities for the set partitioning problem,” in Studies in Integer Programming, I. L. Johnson, B. Korte, G. L. Nemhauser, eds. (North-Holland, Amsterdam, 1977), pp. 13–47.
  8. M. Bellmore, H. D. Ratliff, “Set covering and involutary bases,” Manag. Sci. 18, 194–206 (1971).
  9. G. H. Golub, C. F. van Loan, Matrix Computations, 2nd ed. (Johns Hopkins Press U., Baltimore, Md., 1989).
  10. G. Strang, Linear Algebra and its Applications (Harcourt Brace Jovanovitch, San Diego, Calif., 1980).

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