Iterative solution to the Gel'Fand-Levitan-Marchenko coupled equations and application to synthesis of fiber gratings

In this paper, we develop an iterative solution to the coupled Gel'Fand-Levitan-Marchenko integral equations. It will be proved that this new technique outstands other methods such as the exact GLM solution or the Fourier method. As one of its many applications, the synthesis of fiber gratings for dispersion equalization will be tackled.

[1]  J A Dobrowolski,et al.  Quasi-optimal synthesis for antireflection coatings: a new method. , 1993, Applied optics.

[2]  L. Sossi,et al.  A method for the synthesis of multilayer dielectric interference coatings , 1977 .

[3]  J. Dobrowolski,et al.  Synthesis of high rejection filters with the Fourier transform method. , 1989, Applied optics.

[4]  Mike J. O'Mahony.  Optical multiplexing in fiber networks: progress in WDM and OTDM , 1995 .

[5]  B E Little,et al.  Synthesis of codirectional couplers with ultralow sidelobes and minimum bandwidth. , 1995, Optics letters.

[6]  Carsten Bornholdt,et al.  Meander coupler, a novel wavelength division multiplexer/demultiplexer , 1990 .

[7]  J A Dobrowolski,et al.  Optical thin film synthesis program based on the use of Fourier transforms. , 1978, Applied optics.

[8]  Kim A. Winick,et al.  Waveguide grating filters for dispersion compensation and pulse compression , 1993 .

[9]  Kim A. Winick,et al.  Design of corrugated waveguide filters by Fourier-transform techniques , 1990 .

[10]  C. Elachi,et al.  Frequency selective coupler for integrated optics systems , 1973 .

[11]  Masanori Matsuhara,et al.  Optical-waveguide filters: Synthesis , 1975 .

[12]  Sang-Yung Shin,et al.  Design of corrugated waveguide filters by the Gel’fand–Levitan–Marchenko inverse-scattering method , 1985 .

[13]  J. Kong,et al.  Electromagnetic inverse-scattering theory for inhomogeneous dielectrics: the local reflection model , 1994 .

[14]  F. Ouellette.  Dispersion cancellation using linearly chirped Bragg grating filters in optical waveguides. , 1987, Optics letters.

[15]  Fumio Koyama,et al.  1.5 μm phase-shifted DFB lasers for single-mode operation , 1984 .

[16]  G. Meltz,et al.  Formation of Bragg gratings in optical fibers by a transverse holographic method. , 1989, Optics letters.