Second-harmonic generation from a thin cylindrical layer: III. No-generation conditions

More than 50 different combinations are given for parameters of the problem of second harmonic generation by a plane electromagnetic elliptically polarized wave from a thin optical layer on the surface of cylindrical particle, in which the generation from the lateral surface cannot be observed. Also, 18 combinations of parameters are found, in which generation from the end surfaces of the cylindrical particle is not observed. More than 30 problem parameter combinations are given, in which linearly polarized second harmonic radiation is generated from the side surface (or from the end surfaces). The combinations of problem parameters are indicated, at which generation from the entire surface of the cylindrical particle cannot be observed, and also parameter combinations at which the generation has linear polarization. A method is proposed for determining the anisotropy coefficients on the base of the properties above.