An exact expression of reflection coefficient from inhomogeneous planar structures is derived in a simple and very explicit form by using the analytical transfer matrix method. It is revealed that the reflection coefficient is directly dependent on a single phase integral over the structure. Different from the WKBJ and the integral expansion methods, the presented phase integral is accumulated not only by the main waves, but also by the total subwaves, which are propagated in the structure with continuously varying index profile.
© 2007 Optical Society of America
Original Manuscript: June 20, 2007
Revised Manuscript: October 10, 2007
Manuscript Accepted: October 14, 2007
Published: November 30, 2007
Pengyi Su, Zhuangqi Cao, Kaisheng Chen, Xiaoxu Deng, Chunxiang Liu, and Qishun Shen, "Explicit expression of light reflection from inhomogeneous planar structures," J. Opt. Soc. Am. B 24, 3077-3080 (2007)