Analysis of light wave diffraction and amplification by reflection grating operating in the second-order Bragg regime 2 Reflectivity and spectral characteristics of a grating

Abstract

Reflectivity and spectral properties of a thick reflection grating are discussed for the second-order Bragg diffraction regime. Analytical expressions for the reflection and gain coefficients are obtained with the help of the developed theory. A procedure is proposed for determining the wavelength of laser oscillations generated in an optically active grating. The influence of the second harmonic of dielectric permittivity spatial modulation on reflection and spectral characteristics of a grating was also analyzed. Comparison of the approximate results obtained by the proposed approach and by the numerical solution is carried out, and their excellent agreement is demonstrated.

Analysis of light wave diffraction and amplification by reflection grating operating in the second-order Bragg regime 1 Approximate theory

“…As an example, we compare the results obtained by the proposed method with the numerical solutions of the rigorous theory for the grating in a medium without gain. Full analysis of reflection gratings in a medium with and without gain is presented in the second part of the work [23]. Approximate expressions for calculation of photonic band gap, optical gain, and lasing wavelengths are obtained for the grating that operates in the second-order Bragg diffraction regime.…”