Abstract

Modern crystal-growing techniques allow nearly any imaginable heterostructure to be grown. We are interested here in a periodic Bragg reflector in which there exists both an index-of-refraction grating as well as a gain grating. Unlike in past studies, however, we will investigate the effects due to any phase shift that might exist between these two gratings. For example, we can let the index n(z) and the gain g(z) be harmonic functions of z, as n(z) = n + n₁cos2β₀z and g(z) =g + g₁cos(2β₀z + ϕ), with ϕ being the phase difference between the functions. We then proceed with a normal coupled-wave analysis to calculate the reflection coefficient as a function of the detuning between the incident field frequency and the grating frequencies for various phase differences.

© 1992 Optical Society of America