.. _sphx_glr_auto_examples_structured_media:

Structured media
================

Build spheres, finite layers, and combined structured and random samples.
Explore how geometry and relative positions affect directional scattering.


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


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    <div class="sphx-glr-thumbcontainer" tooltip="Define a finite three-dimensional refractive index field directly rather than drawing it from homogeneous random statistics. The sphere has a constant refractive index inside and is surrounded by a uniform background. The fluctuation array stores n(r) - background_refractive_index: zero outside the sphere, a constant contrast inside. The scattering problem&#x27;s background extends beyond the voxel box; the box is not an additional material boundary.">

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  .. image:: /auto_examples/structured_media/images/thumb/sphx_glr_dielectric_sphere_thumb.png
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  :doc:`/auto_examples/structured_media/dielectric_sphere`

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      <div class="sphx-glr-thumbnail-title">A dielectric sphere in a homogeneous background</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Compose finite slabs and shaped inclusions using absolute refractive indices. Later regions replace earlier ones where they overlap. Add a seeded Whittle–Matérn fluctuation field over the complete structure, then solve numerically. The background outside the voxel box stays homogeneous. This is a finite sample with edges, not an infinite planar stack calculation.">

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  .. image:: /auto_examples/structured_media/images/thumb/sphx_glr_structured_media_thumb.png
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  :doc:`/auto_examples/structured_media/structured_media`

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      <div class="sphx-glr-thumbnail-title">Layers and scatterers with numerical random fluctuations</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="At first Born order, translating a complete scatterer multiplies its far-field amplitude by a unit-modulus phase. Its intensity is unchanged. Adding a second scatterer changes relative phases and generally introduces azimuth-dependent interference. This figure compares these two effects on fixed voxel masks using the numerical solver, without realization averaging.">

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  .. image:: /auto_examples/structured_media/images/thumb/sphx_glr_theory_directional_interference_thumb.png
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  :doc:`/auto_examples/structured_media/theory_directional_interference`

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      <div class="sphx-glr-thumbnail-title">Theory figure: translation and directional interference</div>
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.. toctree::
   :hidden:

   /auto_examples/structured_media/dielectric_sphere
   /auto_examples/structured_media/structured_media
   /auto_examples/structured_media/theory_directional_interference