Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
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By A. Rostami and A. Yazdanpanah-Goharriz

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In this paper a novel intelligent method to identify an unknown medium (type of apodization and chirping) is developed. Our consideration is concentrated on complex fiber Bragg Gratings. For realization of the idea the Genetic Algorithms (GAs) is used. So, GAs is used to solve inverse scattering problem for reconstruction of nonuniform or complex fiber Brag gratings. In this method, the reflection coefficient measured in practice is inserted to a suitable algorithm. According to the proposed method, first medium discrimination is performed between predefined large classes of mediums and then the whole and necessary parameters for reconstruction of the medium are extracted. Full numerical method is used for compare of the results obtained from the presented algorithm. Our simulation shows good agreement between them. So, a novel method for identification and discrimination of optical mediums especially complex Bragg Gratings is presented. Finally the presented method can be used to identify optical mediums and complex Bragg Gratings systems.

Citation: (See works that cites this article)
A. Rostami and A. Yazdanpanah-Goharriz, "A new method for classification and identification of complex fiber bragg grating using the genetic algorithm," Progress In Electromagnetics Research, Vol. 75, 329-356, 2007.

1. Matsuhara, M., K. O. Hill, and A. Watanabe, "Optical-waveguide filters: Synthesis," J. Opt. Soc. Am., Vol. 65, 804-809, 1975.

2. Peral, E., J. Capmany, and J. Marti, "Iterative solution to the Gel'fand-Levitan-Marchenko coupled equations and applications to synthesis of fiber gratings," IEEE J. Quantum Electron., Vol. 32, 2078-2084, 1996.

3. Feced, R., M. N. Zzervas, and M. A. Muriel, "An efficient inverse scattering algorithm for the design of non uniform fiber Bragg gratings," IEEE J. Quantum Electronics, Vol. 35, 1105-1115, 1999.

4. Winick, K. A. and J. E. Roman, "Design of corrugated waveguide filters by Fourier Transform techniques," IEEE J. Quantum Electronics, Vol. 26, 1918-1929, 1990.

5. Roberts, P. and G. Town, "Design of microwave filters by inverse scattering," IEEE Transaction on Microwave Theory and Techniques, Vol. 43, 739-743, 1995.

6. Loh, W. H., M. J. Cole, M. N. Zervas, S. Barcelos, and R. I. Laming, "Complex grating structures with uniform phase masks based on the moving fiber-scanning technique," Opt. Lett., Vol. 20, No. 20, 2051-2053, 1995.

7. Asseh, A., H. Storoy, B. E. Sahlgren, S. Sandgren, and R. A. H. Stubbe, "A writing technique for long fiber Bragg gratings with complex reflectivity profiles," J. Lightwave Technol., Vol. 15, No. 8, 1419-1423, 1997.

8. Song, G. H. and S. Y. Shin, "Design of corrugated waveguide filters by the Gel'fand-Levitan-Marchenko inverse-scattering method," J. Opt. Soc. Am. A., Vol. 2, 1985.

9. Dobrowolski, J. A. and D. Lowe, "Optical thin film synthesis program based on the use of Fourier transforms," Appl. Opt., Vol. 17, No. 19, 3039-3050, 1978.

10. Bovard, B. G., "Fourier transform technique applied to quarter wave optical coatings," Appl. Opt., Vol. 27, No. 15, 3062-3063, 1988.

11. Peral, E., J. Capmany, and J. Marti, "Design of fiber grating dispersion compensators using a novel iterative solution to the Gel'fand-Levitan-Marchenko coupled equations," Electron. Lett., Vol. 32, No. 10, 918-919, 1996.

12. Skaar, J., B. Sahlgren, P. Y. Fonjallaz, H. Storoy, and R. Stubbe, "High reflectivity fiber-optic bandpass filter designed by use of the iterative solution to the Gel'fand-Levitan-Marchenko equations," Opt. Lett., Vol. 23, No. 12, 933-935, 1998.

13. Frangos, P. V., D. J. Frantzeskakis, and C. N. Capsalis, Pulse propagation in a nonlinear optical fiber of parabolic index profile by direct numerical solution of the Gel'fand-Levitan integral equations, Proc. Inst. Elect. Eng., Vol. 140, No. 2, 141-149, 1993.

14. Bruckstein, A. M., B. C. Levy, and T. Kailath, "Differential methods in inverse scattering," SIAM J. Appl. Math., Vol. 45, No. 2, 312-335, 1995.

15. Bruckstein, A. M. and T. Kailath, "Inverse scattering for discrete transmission-line models," SIAM Rev., Vol. 29, No. 3, 359-389, 1987.

16. Bube, K. P. and R. Burridge, "The one-dimensional inverse problem of reflection seismology," SIAM Rev., Vol. 25, No. 4, 497-559, 1983.

17. Bube, K. P., "Convergence of difference methods for onedimensional inverse problems," IEEE Trans. Geosci. Remote Sensing, Vol. 22, No. 11, 674-682, 1984.

18. Attiya, A. M., A. A. Kishk, and A. W. Glisson, "Analysis of two-dimensional magneto-dielectric grating slab," Progress In Electromagnetics Research, Vol. 74, 195-216, 2007.

19. Suyama, T. and Y. Okuno, "Enhancement of TM-TE mode conversion caused by excitation of surface plasmons on a metal grating and its application for refractive index measurement," Progress In Electromagnetics Research, Vol. 72, 91-103, 2007.

20. Khalaj-Amirhosseini, M., "Equivalent circuit model for analysis of inhomogeneous gratings," Progress In Electromagnetics Research, Vol. 69, 21-34, 2007.

21. Kusayakin, O. P., P. N. Melezhik, A. Y. Poyedinchuk, and T. Stepanovich, "Absorbing properties of a negative permittivity layer placed on a reflecting grating," Progress In Electromagnetics Research, Vol. 64, 135-148, 2006.

22. Ohtsu, M., Y. Okuno, A. Matsushima, and T. Suyama, "A combination of up-and down-going floquet modal functions used to describe the field inside grooves of a deep grating," Progress In Electromagnetics Research, Vol. 64, 293-316, 2006.

23. Brovenko, A., P. N. Melezhik, A. Y. Poyedinchuk, and N. P. Yashina, "Surface resonances of metal stripe grating on the plane boundary of metamaterial," Progress In Electromagnetics Research, Vol. 63, 209-222, 2006.

24. Khalaj-Amirhosseini, M., "Scattering of inhomogeneous twodimensional periodic dielectric gratings," Progress In Electromagnetics Research, Vol. 60, 165-177, 2006.

25. Attiya, A. M. and A. A. Kishk, "Modal analysis of a twodimensional dielectric grating slab excited by an obliquely incident plane wave," Progress In Electromagnetics Research, Vol. 60, 221-243, 2006.

26. Poyedinchuk, A. Y., Y. A. Tuchkin, P. Yashinan, J. Chandezon, and G. Granet, "C-method: Several aspects of spectral theory of gratings," Progress In Electromagnetics Research, Vol. 59, 113-149, 2006.

27. Ohki, M., K. Sato, M. Matsumoto, and S. Kozaki, "T-matrix analysis of electromagnetic wave diffraction from a dielectric coated Fourier grating," Progress In Electromagnetics Research, Vol. 53, 91-108, 2005.

28. Skaar J. and K. Risvik, "A genetic algorithm for the inverse problem in synthesis of fiber gratings," J. Lightwave Technol., Vol. 161928-1932, 161928-1932, 1998.

29. Cormier, G., R. Boudreau, and S. Theriault, "Real-coded genetic algorithm for Bragg grating parameter synthesis," J. Opt. Soc. Am. B, Vol. 181771-1776, 181771-1776, 2001.

30. Meng, Z., "Autonomous genetic algorithm for functional optimization," Progress In Electromagnetics Research, Vol. 72, 253-268, 2007.

31. Riabi, M. L., R. Thabet, and M. Belmeguenai, "Rigorous design and efficient optimizattion of quarter-wave transformers in metallic circular waveguides using the mode-matching method and the genetic algorithm," Progress In Electromagnetics Research, Vol. 68, 15-33, 2007.

32. Mahanti, G. K., A. Chakrabarty, and S. Das, "Phase-only and amplitude-phase only synthesis of dual-beam pattern linear antenna arrays using floating-point genetic algorithms," Progress In Electromagnetics Research, Vol. 68, 247-259, 2007.

33. Mitilineos, S. A. and C. A. Papagianni, "Design of switched beam planar arrays using the method of genetic algorithms," Progress In Electromagnetics Research, Vol. 46, 105-126, 2004.

34. Rodriguez, J. A., F. Ares, H. Palacios, and J. Vassal'lo, "Finding defective elements in planar arrays using genetic algorithms," Progress In Electromagnetics Research, Vol. 29, 25-37, 2000.

35. Othonos, A. and K. Kalli, Fibre Bragg Gratings: Fundamentals and applications in telecommunications and sensing, Artech House, 1999.

36. Snyder, A. W. and J. D. Love, Optical Waveguide Theory, 542, Chapman and Hall, London, 1983.

37. Erdogan, T., "Fibre grating spectra," Journal of Lightwave Technology, Vol. 15, No. 8, 1277-1294, 1997.

38. Chen, L. R., S. D. Benjamin, P. W. E. Smith, and J. E. Sipe, "Ultrashort pulse reflection from fiber gratings: a numerical investigation," Journal of Lightwave Technology, Vol. 15, No. 8, 1503-1512, 1997.

39. Holland, J. H., Adaptation in Natural and Artificial Systems, 2nd edition, MIT, Cambridge, MA, 1992.

40. Goldberg, D. E., Genetic Algorithms in Search, Optimization and Machine Learning, Addison-Wesley, Reading, 1989.

41. Spears, W. M., K. A. De Jong, T. Baeck, and P. Bradzil, An overview of evolutionary computation, Proceedings of European Conference on Machine Learning, Vol. 667, 442-459, 1993.

42. Baeck, T., F. Hoffmeister, and H. P. Schwefel, "An overview of evolutionarv algorithms for parameter optimization," J. Evol. Comput., Vol. 1, 1-24, 1993.

43. Koza, J. R., Genetic Programming: On the programming of computers by means of natural selection, MIT, Cambridge, 1992.

44. Horn, J., R. Belew, and L. Booker, Finite Markovc hain analysis of a genetic algorithm with niching, Proceedings of the 4th International Conference on Genetic Algorithms, 110-117, 1993.

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