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Piezobirefringence and phase matching for second harmonic generation in strained-layer superlattices

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Abstract

In strained-layer superlattices (SLS's), lattice-mismatch induced strain in pseudomorphically grown structures gives rise to a preferred axis because of tetragonal distortion, making the SLS a birefringent material. As a consequence, the indices of refraction for the ordinary and the extraordinary rays are different. They vary as a function of strain. The indices of refraction may be derived from the complex dielectric constant. The imaginary part of the dielectric constant may be calculated from a knowledge of allowed energy states in the system. In the presence of strain, the energy levels change. We calculate, within a deformation potential approach, the changes in the energy levels, hence the band gap due to lattice-mismatch strain for varying compositions in the ZnSe/ZnSxSe1-x SLS system. We then use these results to calculate the imaginary part of the dielectric function for the system as a function of frequency. We use Kramers-Kronig to calculate the real part of the dielectric function, and from it no (w) and ne(w). Using the phase matching condition for no(w) and ne(w), we show the resulting strain dependence of the phase matching angle.

© 1992 Optical Society of America

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