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Abstract
The process of optical second harmonic generation (SHG) in a slab of the helically modulated SmC* material is analysed for a case when the SHG frequency is in the vicinity or inside the region of the selective reflection band. The analysis bases on the numerical solutions of the nonlinear wave equation. Various possible phase matched combinations of the optical eigen-modes are discussed and the dependence of the SHG intensity on the optical frequency and sample thickness is given.