.. _sphx_glr_auto_gallery_nonlinear:

The third-order and Raman response
----------------------------------

The second hyperpolarizability of every process, its accuracy against the frozen
coefficients in use, and the gases' Raman response functions.


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  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


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    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

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    <div class="sphx-glr-thumbcontainer" tooltip="For each gas, gamma / gamma_0 of the fitted model (line, the Kerr process) against the dispersion variable W2 = sum of the squared wavenumbers of the four frequencies. The data of every process are shown against their own W2:">

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  .. image:: /auto_gallery/nonlinear/images/thumb/sphx_glr_plot_nonlinear_thumb.png
    :alt:

  :doc:`/auto_gallery/nonlinear/plot_nonlinear`

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      <div class="sphx-glr-thumbnail-title">The second hyperpolarizability: every process on one curve</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="The shaded band is the fitted Kerr gamma&#x27;s propagated statistical one-sigma uncertainty, scaled by the reduced chi-squared where it exceeds one. Bars at 400, 800 and 1800 nm are the working estimates in /nonlinear_accuracy, which include leave-one-out sensitivity and each gas&#x27;s systematic floor. They can be much larger than the covariance alone suggests. These are relative uncertainties of the electronic response, not the total nonlinear response or an error bar on extrapolation. Ozone&#x27;s model starts at 700 nm.">

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  .. image:: /auto_gallery/nonlinear/images/thumb/sphx_glr_plot_nonlinear_accuracy_thumb.png
    :alt:

  :doc:`/auto_gallery/nonlinear/plot_nonlinear_accuracy`

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      <div class="sphx-glr-thumbnail-title">Third-order uncertainty: statistical and working estimates</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="The gases&#x27; Raman responses (optmat.gas.raman_response.raman_response), at 295 K.">

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  .. image:: /auto_gallery/nonlinear/images/thumb/sphx_glr_plot_raman_response_gases_thumb.png
    :alt:

  :doc:`/auto_gallery/nonlinear/plot_raman_response_gases`

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      <div class="sphx-glr-thumbnail-title">Raman: the response functions of the gases</div>
    </div>


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    </div>


.. toctree::
   :hidden:

   /auto_gallery/nonlinear/plot_nonlinear
   /auto_gallery/nonlinear/plot_nonlinear_accuracy
   /auto_gallery/nonlinear/plot_raman_response_gases