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The aim of the present work is to convert radiation from a very narrow beam at the fundamental frequency in a very narrow beam at the second harmonic (SH) frequency. Therefore, it is needed the subdiffractive propagation condition for both fundamental and second harmonic waves. However, for an efficient second harmonic generation (SHG) there are two other conditions to be fulfilled: the phase matching...
We predict, that extremely narrow beams (of the width of few wavelengths) can be used for an efficient second harmonic generation in quadratic-nonlinear photonic crystals, tuned to the subdiffractive (self-collimating) regime simultaneously for the both, fundamental and the second harmonics, waves. We prove the idea analytically, by harmonic expansion technique, and numerically, by finite difference...
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