Abstract
In this paper, we will investigate the optical properties of Fibonacci-class quasi-periodic multilayer stacks with inhomogeneous index of refraction profile. In this work, the exact solution for inhomogeneous media and the transfer matrix method for the evaluation of quasi-periodic multilayer stacks are examined. Also, the inhomogeneous index of refraction effects on optical filtering properties of Fibonacci-class quasi-periodic multilayer is considered. We show that using a suitable inhomogeneous index of the refraction profile we can obtain a narrow-band and broad-band optical filter, which is a very hard problem in the homogeneous multilayer structures. In this work, we present a semi-exact approach for an optical filter characteristic interpretation.
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