Hello everyone.

there are different type of relationship to calculate the phase matching angle, I bring two of them in attached, which I can derive the second one. and we found that the first phrase (phase matching condition ) is not true. I need to derive the irradiance of frequency doubled beam varies with theta when phase matching condition is not obeyed (the yellow part marked in the picture).

I will be grateful to anyone can help me.

Best regards, 

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