In crystals that obey inversion symmetry retain their polarization form in x-->-x, we can prove that even order susceptibilities get canceled. But I want to know if there exists any way that I can explicitly show that even order transition amplitudes are not contributing to the Higher-order Harmonic Generation in this particular crystals.
Selection rules?, I cannot remember but some last versions of classical books in quantum non-relativistic optics could have some pathways to an answer, Dear Debamalya Dutta, for example in:
The Quantum Theory of Light by R. Loudon (2000). Oxford Science Publications
Best Regards.
Dear Debamalya Dutta,
Honastly said, not my field of expertise... so I don't really understand your description... I do know one thing... what happens when light passes through a crystal that lets light through.
The light travelling deppends of lattice structure of the crystal.
With current theory of light you cannot explain this situation... this situation...
Rest In privat...
Dear Pedro L. Contreras E. thank you for the help!...
Regards,
Laszlo
https://stackoverflow.com/questions/73127474/how-to-prove-that-two-photon-transition-amplitude-is-absent-in-a-crystal-that-ob,kindly check this link.
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