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Use of extrapolation on wave expansions to force the satisfaction of the Rayleigh hypothesis

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Abstract

An extrapolation method is shown to force the convergence of a diverging wave expansion. This wave expansion will then satisfy the Rayleigh hypothesis over a much broader region. Only a single wave expansion then becomes necessary for field solutions in a particular region, making methods such as analytic continuation unnecessary.

© 1992 Optical Society of America

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