Abstract
In the literature, several multilayer coating configurations have been proposed which have a reflectance stop band at the tuned wavelength and for which various orders of harmonic stopbands have been suppressed. Baumeister 1,2 has outlined a procedure for designing a symmetric multilayer in which any number of higher order harmonic stopbands are suppressed. He makes the statement that, "As more and more contiguous stopbands are suppressed, the stepped-index profile approximates a sinusoid." However, the algebraic complexities of his approach make it difficult to determine the index profile as it approaches the continuous limit. Prior to this, Thelen3 published plots of the equivalent index for an inhomogeneous system where the index varies with the Jacobian elliptic function4 dn. Recently, Carniglia5 showed that stepped-index designs in which the natural log of the index follows a sinusoid will have good harmonic suppression out to a certain order. (This log index sinusoid dependence we call an exponential sinusoid in this paper, since that is how the index itself varies.)
© 1988 Optical Society of America
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