We present a novel matrix approach to proving that the phase shift at a turning point in a planar optical waveguide is exactly equal to π rather than to π/2 or to some other value. We also show the existence of phase contributions from reflected subwaves, which to our knowledge have never been taken into account previously.
© 2001 Optical Society of America
Zhuangqi Cao, Qing Liu, Yi Jiang, Qishun Shen, Xiaoming Dou, and Yukihiro Ozaki, "Phase shift at a turning point in a planar optical waveguide," J. Opt. Soc. Am. A 18, 2161-2163 (2001)