Efficient inverse scattering algorithm for the design of grating-assisted codirectional mode couplers

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 17, Issue 9, 2000, Pages 1573-1582

  Feced, Ricardo ^a,b   Zervas, Michalis N ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

^b NORTEL NETWORKS   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; DIFFRACTION GRATINGS; LIGHT SCATTERING; OPTICAL WAVEGUIDES;

INVERSE SCATTERING;

WAVEGUIDE COUPLERS;

EID: 0000269832     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.17.001573     Document Type: Article

References (28)

1. A. Yariv, “Coupled-mode theory for guided-wave optics,” IEEE J. Quantum Electron. 9, 919-933 (1973).
2. D. Marcuse, “Directional couplers made of nonidentical asymmetric slabs. Part II: Grating assisted couplers,” J. Lightwave Technol. 5, 268-273 (1987).
3. W. P. Huang, “Coupled-mode theory for optical waveguides: An overview,” J. Opt. Soc. Am. A 11, 963-983 (1994).
4. G. Meltz, W. W. Morey, and W. H. Glen, “Formation of Bragg gratings in optical fibres by a transverse holographic method,” Opt. Lett. 14, 823-825 (1989).
5. A. M. Vengsarkar, J. R. Pedrazzani, J. B. Judkins, P. J. Lemaire, N. S. Bergano, and C. R. Davidson, “Long-period fiber-grating-based gain equalisers,” Opt. Lett. 21, 336-338 (1996).
6. P. St. J. Russell and D. P. Hand, “Rocking filter formation in photosensitive high birefringence optical fibres,” Electron. Lett. 26, 1846-1848 (1990).
7. J. N. Blake, B. Y. Kim, H. E. Engan, and H. J. Shaw, “Analysis of intermodal coupling in a two-mode fiber with periodic microbends,” Opt. Lett. 12, 281-283 (1987).
8. K. I. Hopcraft and P. R. Smith, An Introduction to Electromagnetic Inverse Scattering (Kluwer Academic, Dordrecht, The Netherlands, 1992).
9. J. A. Dobrowolski and D. Lowe, “Optical thin film synthesis program based on the use of Fourier transforms,” Appl. Opt. 17, 3039-3050 (1978).
10. B. G. Bovard, “Fourier transform technique applied to quarterwave optical coatings,” Appl. Opt. 27, 3062-3063 (1988).
11. K. A. Winick and J. E. Roman, “Design of corrugated waveguide filters by Fourier-transform techniques,” IEEE J. Quantum Electron. 26, 1918-1929 (1990).
12. I. M. Gel’fand and B. M. Levitan, “On a determination of a differential equation from its spectral function,” Am. Math. Soc. Trans. 1, 253-304 (1955).
13. I. Kay, “The inverse scattering problem when the reflection coefficient is a rational function,” Commun. Pure Appl. Math. 13, 371-393 (1960).
14. G. H. Song and S. Y. Shin, “Design of corrugated waveguide filters by the Gel’fand-Levitan-Marchenko inverse-scattering method,” J. Opt. Soc. Am. A 2, 1905-1915 (1985).
15. J. E. Roman and K. A. Winick, “Waveguide grating filters for dispersion compensation and pulse compression,” IEEE J. Quantum Electron. 29, 975 -982 (1993).
16. E. Peral, J. Capmany, and J. Marti, “Iterative solution to the Gel’fand-Levitan-Marchenko coupled equations and application to synthesis of fiber gratings,” IEEE J. Quantum Electron. 32, 2078-2084 (1996).
17. B. E. Little, C. Wu, and W. P. Huang, “Synthesis of codirec-tional couplers with ultralow sidelobes and minimum bandwidth,” Opt. Lett. 20, 1259-1261 (1995).
18. J. Skaar and K. M. Risvik, “A genetic algorithm for the inverse problem in synthesis of fiber gratings,” J. Lightwave Technol. 16, 1928-1932 (1998).
19. A. M. Bruckstein, B. C. Levy, and T. Kailath, “Differential methods in inverse scattering,” SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 45, 312-335 (1995).
20. A. M. Bruckstein and T. Kailath, “Inverse scattering for discrete transmission-line models,” SIAM Rev. 29, 359-389 (1987).
21. R. Feced, M. N. Zervas, and M. A. Muriel, “An efficient inverse scattering algorithm for the design of nonuniform fibre Bragg gratings,” IEEE J. Quantum Electron. 35, 11051115 (1999).
22. H. Kogelnik and C. V. Shank, “Coupled-wave theory of distributed feedback lasers,” J. Appl. Phys. 43, 2327-2335 (1972).
23. J. G. Proakis and D. G. Manolakis, Introduction to Digital Signal Processing (Macmillan, New York, 1988).
24. E. M. Dowling and D. L. MacFarlane, “Lightwave lattice filters for optically multiplexed communication systems,” J. Lightwave Technol. 12, 471-486 (1994).
25. G. L. Lamb Jr., Elements of Soliton Theory (Wiley, New York, 1980), pp. 107-112.
26. G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1989), pp. 104-146.
27. A. B. Carlson, Communication Systems (McGraw-Hill, Singapore, 1986), pp. 103-105.
28. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, New York, 1995), pp. 92-108 and 384-388.