Z-domain and digital filter techniques are used to derive and interpret the transfer functions—transmission and reflection dependencies—for several étalonlike structures. Two-, three-, and four-mirror Fabry–Perot étalons and a seven-layer interference filter are analyzed. Although most of the examples have equally spaced mirrors, an example is also presented that illustrates the extension of the technique to structures with dissimilar lengths. Concepts such as group delay and state-variable descriptions may now be naturally applied to the analysis of these structures. The design of these structures may now benefit from algorithms developed for digital signal processing.
© 1994 Optical Society of America
Original Manuscript: October 22, 1992
Revised Manuscript: February 26, 1993
Manuscript Accepted: August 6, 1993
Published: January 1, 1994
Duncan L. MacFarlane and Eric M. Dowling, "Z-domain techniques in the analysis of Fabry–Perot étalons and multilayer structures," J. Opt. Soc. Am. A 11, 236-245 (1994)