Analysis and synthesis operations for a stack of dielectric layers with equal optical thickness are described in terms of the Wiener–Khintchine theorem with variables reflectance R and distribution of optical paths f. The method yields an infinite sequence of refractive indices that converge to a substrate index. An iterative process is used to determine the minimum phase solution, and all practical solutions are constructed from it by a root-shifting procedure. Realizability and practicability conditions are discussed.
© 1978 Optical Society of America
Original Manuscript: June 1, 1978
Published: October 1, 1978
I. J. Hodgkinson, "Fourier description of analysis and synthesis operations for a stack of thin films of equal optical thickness," Opt. Lett. 3, 133-135 (1978)