# Materials, interfaces, and dispersion

Fresnel physics, multilayers, metals, tensor media, birefringence, and dispersive constitutive models.

[← Back to the complete example atlas](../index.md)

::::{grid} 1 2 2 2
:gutter: 2

:::{grid-item-card} Dielectric interface Fresnel R/T (upstream method)
:link: ../cases/analytical_dielectric_slab
:link-type: doc

<span class="metric-pass">PASS</span> · benchmark page · analytical · reflectance_R
:::
:::{grid-item-card} Skin-depth attenuation in lossy conductor
:link: ../cases/analytical_skin_depth
:link-type: doc

<span class="metric-pass">PASS</span> · benchmark page · analytical · pytest_exit
:::
:::{grid-item-card} Dispersive Lorentz/Drude/CCPR Fresnel + impedance
:link: ../cases/analytical_dispersion
:link-type: doc

<span class="metric-pass">PASS</span> · benchmark page · analytical · pytest_exit
:::
:::{grid-item-card} Fresnel R/T vs Tidy3D golden (tiny 2D-like slab interface)
:link: ../cases/parity_fresnel_interface
:link-type: doc

<span class="metric-pass">PASS</span> · benchmark page · forward · reflectance_R
:::
:::{grid-item-card} Anisotropic dispersion Fresnel per polarization
:link: ../cases/analytical_anisotropic
:link-type: doc

<span class="metric-pass">PASS</span> · benchmark page · analytical · pytest_exit
:::
:::{grid-item-card} Birefringence / uniaxial media
:link: ../cases/analytical_birefringence
:link-type: doc

<span class="metric-pass">PASS</span> · benchmark page · analytical · pytest_exit
:::
:::{grid-item-card} 3-layer stack transmission spectrum vs Tidy3D
:link: ../cases/parity_multilayer_T
:link-type: doc

<span class="metric-pass">PASS</span> · benchmark page · forward · T_rel_l2
:::
:::{grid-item-card} Fresnel ε=4 (n=2) upstream gold standard
:link: ../cases/analytical_fresnel_n2
:link-type: doc

<span class="metric-pass">PASS</span> · benchmark page · analytical · pytest_exit
:::
:::{grid-item-card} Oriented / tilted crystal dispersion
:link: ../cases/analytical_oriented_dispersion
:link-type: doc

<span class="metric-pass">PASS</span> · benchmark page · analytical · pytest_exit
:::
:::{grid-item-card} Rotated lossy uniaxial tensor
:link: ../cases/analytical_complex_tensor
:link-type: doc

<span class="metric-pass">PASS</span> · benchmark page · analytical · pytest_exit
:::
:::{grid-item-card} 3-layer stack T vs transfer-matrix theory
:link: ../cases/analytical_multilayer_tmm
:link-type: doc

<span class="metric-pass">PASS</span> · benchmark page · analytical · T_max_abs
:::
:::{grid-item-card} Lossy-metal half-space reflectance vs Tidy3D
:link: ../cases/parity_metal_reflect
:link-type: doc

<span class="metric-pass">PASS</span> · benchmark page · forward · reflectance_R
:::
:::{grid-item-card} 4-pair Bragg stack R/T spectrum vs Tidy3D
:link: ../cases/parity_bragg_stack
:link-type: doc

<span class="metric-pass">PASS</span> · benchmark page · forward · R_rel_l2
:::
:::{grid-item-card} Lossy slab attenuation ratio vs analytical TMM
:link: ../cases/parity_skin_depth
:link-type: doc

<span class="metric-pass">PASS</span> · benchmark page · forward · ratio_rel
:::
::::


```{toctree}
:hidden:
:maxdepth: 1

../cases/analytical_dielectric_slab
../cases/analytical_skin_depth
../cases/analytical_dispersion
../cases/parity_fresnel_interface
../cases/analytical_anisotropic
../cases/analytical_birefringence
../cases/parity_multilayer_T
../cases/analytical_fresnel_n2
../cases/analytical_oriented_dispersion
../cases/analytical_complex_tensor
../cases/analytical_multilayer_tmm
../cases/parity_metal_reflect
../cases/parity_bragg_stack
../cases/parity_skin_depth
```