Gelfand, I.M., and B.M. Levitan, 1955, "On the determination of a differential equation by its spectral function,"Trans. Am. Math.Soc. Ser.21, 253-304.


Jordan, A.K., and H. Ladoucer, 1987, "A renormalized inverse scattering theory for discontinuous profiles,"Phy. Rev.A36, 4245-4253.

Jordan A.K., and S. Lakshmanasamy, 1989, "Inverse scattering theory applied to the design of single-mode planar optical waveguides,"J. Opt. Soc. Am.A 6, 1206-1212.


Kay, I., 1955, The Inverse Scattering Problem, Rep. EM-74, New York, N.Y.: New York University.

Kay, I., and H. Moses, 1956, "Reflectionless transmission through dielectrics and scattering potentials,"J. Appl. Phys.27, 1503-1508.

Kritikos, H.N., D.L. Jaggard, and D.B. Gc, 1982, "Numeric reconstruction of smooth dielectric profiles,"Proc. IEEE70, 295-297.


Lamb, Jr., G.L., 1980, Elements of Soliton Theory, New York: Wiley and Sons.

Levy, H., and E.A. Baggott, 1976, Numerical Solution of DifferentialEquations, New York: Springer-Verlag.


Marchenko, V.A., 1950, "Concerning the theory of a differential operator of second order,"Dokl. Akad. Nauk SSSRT2, 457-463.

Marcuse, D., 1972, Light Transmission Optics, Princeton, N.J.: Van Nostrand Reinhold.

Mills, D.W., and L.S. Tamil, 1991, "A new approach to the design of graded-index guided-wave devices,"IEEE Microwave Guided WaveLett.1, 87-88.

Mills, D.W., and L.S. Tamil, 1992, "Analysis of planar waveguides using scattering data,"J. Opt. Soc. Am.A 9, 1769-1778.

Mills, D.W., and L.S. Tamil, 1993, "Synthesis of guided-wave optical interconnects,"IEEE J. Quantum Electron.29, 2825-2834.

Mills, D.W., and L.S. Tamil, 1994, "Coupling in multilayer optical waveguides: An approach based on scattering data,"J. Lightwave Technol .9, 1560-1568.


Okoshi, T., 1976, Optical Fibers, New York: Academic Press.


Press, H.H., B.P. Flannery, S.A. Teukolsky, and W.T. Vetterling, 1989, Numerical Recipes, New York: Cambridge University Press.


Szu, H.H., C.E. Carroll, C.C. Yang, and S. Ahn, 1976, "A new functional equation in the plasma inverse scattering problem and its analytical properties,"J. Math. Phys.17, 1236-1247.


Tamil, L., and Y. Lin, 1993, "Synthesis and analysis of optical planar waveguides with prescribed TM modes,"J. Opt. Soc. Am.A 9, 1953-1962.

Tamir, T., 1990, Guided-Wave Optoelectronics, New York: Springer-Verlag, Chap. 2.


Yukon, S.P., and B. Bendow, 1980, "Design of waveguides with prescribed propagation constants,"J. Opt. Soc. Am.70, 172-179.



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