An Iterative Formula for the Reflection Coefficient of Multi-layer Thin Film and Its Application in the Design of Optical All Pass Filter

In this paper, an iterative formula for the reflection coefficient of the multi-layer thin film is deduced and the design of multi-layer thin film gires-tournois interferometer optical all pass filter(GTI-OAPF) is discussed. The group delay τm ranges from 0.06 to 460 ps and the bandwidth Δω ranges from 0.068 to 0.0000079 (1015 rad/s). By changing the incident angle θ0, the multi-channel dispersion compensation may be achieved.