We present an analytical derivation of the phase change of the reflection coefficient of a distributed-Bragg-reflector mirror when the thickness of a layer in the mirror changes. These phase changes are additive, as has been verified by an exact numerical calculation using transmission matrices. Such a phase change will affect the lasing wavelength of vertical-cavity surface-emitting lasers and the center wavelength of various integrated Bragg devices.
© 1990 Optical Society of America
Original Manuscript: December 26, 1989
Manuscript Accepted: March 5, 1990
Published: May 15, 1990
Jean-Pierre Weber and Shyh Wang, "Effect of layer thickness variations in a distributed-Bragg-reflector mirror on the phase of the reflected light," Opt. Lett. 15, 526-528 (1990)