Ms. Viola et Dp. Nyquist, BORN APPROXIMATION OF THE CONTINUOUS-SPECTRUM FOR DIELECTRIC WAVE-GUIDES USING AN ELECTRIC-FIELD INTEGRAL-EQUATION FOR THE TRANSVERSE FIELDCOMPONENTS, Journal of electromagnetic waves and applications, 8(8), 1994, pp. 993-1016
The Born approximation is used to generate a sequence of iterates appr
oximating spectral components of the continuous spectrum associated wi
th longitudinally-uniform dielectric waveguides. Quantification of the
electromagnetic fields within these structures is provided by an axia
l Fourier transform-domain electric field integral equation (EFIE) for
the transverse components. Successive approximations of solutions to
this EFIE for practical dielectric waveguiding structures are obtained
. Convergence criteria of the Neumann series along with error estimate
s for each iterate are examined.