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Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Anthony J. Campillo
  • Vol. 30, Iss. 20 — Oct. 15, 2005
  • pp: 2724–2726

Optimal design of optical reference signals by use of a genetic algorithm

José Saez-Landete, Sancho Salcedo-Sanz, Manuel Rosa-Zurera, José Alonso, and Eusebio Bernabeu  »View Author Affiliations


Optics Letters, Vol. 30, Issue 20, pp. 2724-2726 (2005)
http://dx.doi.org/10.1364/OL.30.002724


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Abstract

A new technique for the generation of optical reference signals with optimal properties is presented. In grating measurement systems a reference signal is needed to achieve an absolute measurement of the position. The optical signal is the autocorrelation of two codes with binary transmittance. For a long time, the design of this type of code has required great computational effort, which limits the size of the code to ∼30 elements. Recently, the application of the dividing rectangles (DIRECT) algorithm has allowed the automatic design of codes up to 100 elements. Because of the binary nature of the problem and the parallel processing of the genetic algorithms, these algorithms are efficient tools for obtaining codes with particular autocorrelation properties. We design optimum zero reference codes with arbitrary length by means of a genetic algorithm enhanced with a restricted search operator.

© 2005 Optical Society of America

OCIS Codes
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.3940) Instrumentation, measurement, and metrology : Metrology
(230.0230) Optical devices : Optical devices

ToC Category:
Instrumentation, Measurement, and Metrology

Citation
José Saez-Landete, Sancho Salcedo-Sanz, Manuel Rosa-Zurera, José Alonso, and Eusebio Bernabeu, "Optimal design of optical reference signals by use of a genetic algorithm," Opt. Lett. 30, 2724-2726 (2005)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-30-20-2724


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References

  1. X. Yang and C. Yin, J. Phys. E 19, 34 (1986).
  2. L. Yajun, J. Mod. Opt. 34, 1571 (1987).
  3. L. Yajun, Optik (Stuttgart) 79, 67 (1988).
  4. J. Sáez-Landete, J. Alonso, and E. Bernabeu, Opt. Express 13, 195 (2005). [CrossRef]
  5. D. R. Jones, in Encyclopedia of Optimization, Vol. 1 (Kluwer Academic, 2001), pp. 431-440.
  6. D. E. Goldberg, Genetic Algorithms in Search, Optimization and Machine Learning (Addison-Wesley, Reading, Mass., 1988).
  7. S. Salcedo-Sanz, G. Camps-Vals, F. Pérez-Cruz, J. Sepúlveda-Sanchís, and C. Bousoño-Calzón, IEEE Trans. Syst. Man Cybern. 34, 749 (2005).

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