Conical Refraction in Second-Harmonic Generation

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Abstract
The second-harmonic generation in an optically nonlinear biaxial crystal is discussed, when the fundamental laser beam propagates along the direction of an optical axis for the harmonic wave. It is shown that in the case of phase mismatch, the harmonic radiation will be emitted in a cone mantle, which is the nonlinear analog of internal conical refraction. In the case of momentum matching along the optical axis, a more complex intensity distribution results which fills the entire apex angle of the cone.