Modification of Characteristics of Bragg Structure Based on Chebyshev Approach

Bragg-type layered dielectric structure, which provides the Chebyshev character of the behavior of the reflection frequency response, was considered. To obtain a fractional-rational representation of the structure frequency response, method of synthesis of the type I Chebyshev filter was used. An approach for mapping the entire equiripple domain of Chebyshev polynomial onto the specified reflectionless band and determining scale parameter are proposed. A modification of the periodic Bragg-type layered structure is demonstrated, which provides a reflection frequency response with minimum ripple level in the passband while preserving the location of the zeros that delimit the reflection band of the structure.