Exactly solvable inhomogeneous Fibonacci-class quasi-periodic structures (optical filtering)

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 evaluation of quasi-periodic multilayer stack 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 suitable inhomogeneous index of refraction profile we can obtain a narrowband and broadband optical filters, which is very hard problem in the homogeneous multiplayer structures. In this work, we present semi-exact approach for optical filter characteristic interpretation.