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minor updates to EM scattering tutorial #106

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fverdugo merged 2 commits into from
Jul 23, 2021
Merged

minor updates to EM scattering tutorial #106

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964e3cf
minor updates to EM scattering tutorial
stevengj Jul 23, 2021
025a5f5
link fix
stevengj Jul 23, 2021
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18 changes: 9 additions & 9 deletions src/emscatter.jl
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@@ -1,13 +1,13 @@
# In this tutorial, we will learn:
#
# * How to formulate the weak form for a scalar time-harmonic electromagnetic problem
# * How to implement perfectly matched layers (PML)
# * How does periodic boundary condition work in Gridap
# * How to discretize PDEs with complex-valued solution
# * How to implement a perfectly matched layer (PML) to absorb outgoing waves
# * How to impose periodic boundary conditions in Gridap
# * How to discretize PDEs with complex-valued solutions
#
# ## Problem statement
#
# We are going to solve a scalar electromagnetic wave scattering problem: a plane wave (Hz-polarized $H_{inc}$) scattering of a cylinder dielectric (of radius $R$ and permittivity $\varepsilon$), as illustrated below. The computational cell is of height $H$ and length $L$, and we designate a perfectly matched layer (PML) thickness of $d_{pml}$.
# We are going to solve a scalar electromagnetic wave scattering problem: a plane wave (Hz-polarized $H_{inc}$) scattering of a dielectric cylinder (of radius $R$ and permittivity $\varepsilon$), as illustrated below. The computational cell is of height $H$ and length $L$, and we employ a perfectly matched layer (PML) thickness of $d_{pml}$ to implement outgoing (radiation) boundary conditions for this finite domain.
#
# ![](../assets/emscatter/Illustration.png)
#
Expand Down Expand Up @@ -312,14 +312,14 @@ Difference=sqrt(sum(∫(abs2(uh_t-uh)*AnalyticalBox)*dΩ)/sum(∫(abs2(uh_t)*Ana
@assert Difference < 0.1
#
# ## References
# [1] https://en.wikipedia.org/wiki/Electromagnetic_wave_equation
# [1] [Wikipedia: Electromagnetic wave equation](https://en.wikipedia.org/wiki/Electromagnetic_wave_equation)
#
# [2] https://en.wikipedia.org/wiki/Perfectly_matched_layer
# [2] [Wikipedia: Perfectly matched layer](https://en.wikipedia.org/wiki/Perfectly_matched_layer)
#
# [3] A. Oskooi and S. G. Johnson, “Distinguishing correct from incorrect PML proposals and a corrected unsplit PML for anisotropic, dispersive media,” Journal of Computational Physics, vol. 230, pp. 2369–2377, April 2011.
# [3] A. Oskooi and S. G. Johnson, “[Distinguishing correct from incorrect PML proposals and a corrected unsplit PML for anisotropic, dispersive media](http://math.mit.edu/~stevenj/papers/OskooiJo11.pdf),” Journal of Computational Physics, vol. 230, pp. 2369–2377, April 2011.
#
# [4] Stratton, J. A. (1941). Electromagnetic Theory. New York: McGraw-Hill.
#
# [5] https://en.wikipedia.org/wiki/Jacobi%E2%80%93Anger_expansion
# [5] [Wikipedia: Jacobi–Anger expansion](https://en.wikipedia.org/wiki/Jacobi%E2%80%93Anger_expansion)
#
# [6] https://en.wikipedia.org/wiki/Bessel_function
# [6] [Wikipedia: Bessel function](https://en.wikipedia.org/wiki/Bessel_function)