Abstract
Chebychev polynomials are introduced into the theory of all-dielectric first-order interference filters consisting of 2m or (2m+1) alternating high- and low-index films of equal optical thickness β on each side of a low-index spacer of thickness 2β. For the amplitude and energy transmitted by such filters, simple closed expressions are derived that will render numerical results with greater facility than any other calculus known.
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