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 *tm ranges from 0.06 to 460 ps and the bandwidth *D*w ranges from 0.068 to 0.0000079 (1015 rad/s). By changing the incident angle *c0, the multi-channel dispersion compensation may be achieved.