volume | PIER Journals

Abstract

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.

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

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.
doi:10.1109/3.544753 Google Scholar

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.
doi:10.1109/3.777209 Google Scholar

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.
doi:10.1109/3.62111 Google Scholar

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.
doi:10.1109/22.375219 Google Scholar

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. Google Scholar

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.
doi:10.1109/50.618372 Google Scholar

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. Google Scholar

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. Google Scholar

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

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.
doi:10.1049/el:19960596 Google Scholar

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. Google Scholar

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.
doi:10.1137/0145017 Google Scholar

15. Bruckstein, A. M. and T. Kailath, "Inverse scattering for discrete transmission-line models," SIAM Rev., Vol. 29, No. 3, 359-389, 1987.
doi:10.1137/1029075 Google Scholar

16. Bube, K. P. and R. Burridge, "The one-dimensional inverse problem of reflection seismology," SIAM Rev., Vol. 25, No. 4, 497-559, 1983.
doi:10.1137/1025122 Google Scholar

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

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.
doi:10.2528/PIER07042201 Google Scholar

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.
doi:10.2528/PIER07030301 Google Scholar

20. Khalaj-Amirhosseini, M., "Equivalent circuit model for analysis of inhomogeneous gratings," Progress In Electromagnetics Research, Vol. 69, 21-34, 2007.
doi:10.2528/PIER06100501 Google Scholar

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.
doi:10.2528/PIER06061601 Google Scholar

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.
doi:10.2528/PIER06071401 Google Scholar

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.
doi:10.2528/PIER06052401 Google Scholar

24. Khalaj-Amirhosseini, M., "Scattering of inhomogeneous twodimensional periodic dielectric gratings," Progress In Electromagnetics Research, Vol. 60, 165-177, 2006.
doi:10.2528/PIER05112601 Google Scholar

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.
doi:10.2528/PIER05110602 Google Scholar

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.
doi:10.2528/PIER05050901 Google Scholar

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.
doi:10.2528/PIER04083101 Google Scholar

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. Google Scholar

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. Google Scholar

30. Meng, Z., "Autonomous genetic algorithm for functional optimization," Progress In Electromagnetics Research, Vol. 72, 253-268, 2007.
doi:10.2528/PIER07031506 Google Scholar

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.
doi:10.2528/PIER06072103 Google Scholar

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.
doi:10.2528/PIER06072301 Google Scholar

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.
doi:10.2528/PIER03080802 Google Scholar

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.
doi:10.2528/PIER00011401 Google Scholar

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, 1983.

37. Erdogan, T., "Fibre grating spectra," Journal of Lightwave Technology, Vol. 15, No. 8, 1277-1294, 1997.
doi:10.1109/50.618322 Google Scholar

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.
doi:10.1109/50.618383 Google Scholar

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

40. Goldberg, D. E., Genetic Algorithms in Search, Optimization and Machine Learning, 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. Google Scholar

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

Prof. Ali Rostami

Dr. Arash Yazdanpanah-Goharriz