Matrix Formulation of Coefficients for Lame Polynomials in the Kraus-Levine Diffraction Model.
Research and development rept. 1973-1974,
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A numerical method for the determination of Lame polynomial coefficients associated with the Kraus-Levine diffraction model is presented. The coefficients are formulated by matrix equations, which use the normalized initial conditions. An eigenvalue pair ne, mu is assumed for both hard boundary and soft boundary conditions. The method is applied to the matrix equations of both even and odd Lame polynomials. Results indicate that when the matrix equation is determined to be unique, each set of coefficients for a Lame polynomial can reliably be determined by the last column of the inverted coefficient matrix and the last element of the column matrix on the right-hand side of the matrix equation. Author
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