Abstract
The existing theories of hyper-Raman scattering are based on the semiclassical theory of the interaction of electromagnetic radiation with matter. For this reason, a quantum field theory of hyper-Raman scattering of near infrared light by piezoelectric crystals is presented. We establish a unified theoretical framework to describe hyper-Raman scattering of light by nonpolar modes and longitudinal or transverse polar modes. An additional mechanism is found for hyper-Raman scattering from polar modes. In this framework, we derive an analytical, temperature-dependent expression of the hyper-Raman scattering intensity of light. Our theory explains two distinct peaks of hyper-Raman scattering from the split polar modes.
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