.. _sphx_glr_api_gallery_optics_nonlinear_optics:

Nonlinear optics
----------------

Second-harmonic generation: the coherence length of a phase-mismatched
crystal, and the birefringent and quasi-phase-matching schemes that remove
the mismatch.


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    <div class="sphx-glr-thumbcontainer" tooltip="In 1961, a year after the first laser, Franken and co-workers focused a ruby laser into quartz and recorded a faint spot of ultraviolet light at twice its frequency: the first nonlinear optical effect. A second-order polarization P^{(2\omega)} \propto \chi^{(2)}E^2 radiates the harmonic, but the fundamental and the harmonic travel at different speeds, so the harmonic generated at different depths gets out of step. With phase mismatch \Delta k = k_{2\omega} - 2k_\omega, an undepleted pump gives">

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  :doc:`/api/gallery/optics/nonlinear_optics/plot_second_harmonic_phase_matching`

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   /api/gallery/optics/nonlinear_optics/plot_second_harmonic_phase_matching