From d31dabea0db54cad7d64ead0febd75936539cd07 Mon Sep 17 00:00:00 2001 From: Manaswinee Bezbaruah Date: Thu, 24 Mar 2022 13:21:56 -0500 Subject: [PATCH] Step-81: minor polishing --- examples/step-81/doc/intro.dox | 10 ++++++---- 1 file changed, 6 insertions(+), 4 deletions(-) diff --git a/examples/step-81/doc/intro.dox b/examples/step-81/doc/intro.dox index 15bc1ba658..5386447716 100644 --- a/examples/step-81/doc/intro.dox +++ b/examples/step-81/doc/intro.dox @@ -184,11 +184,11 @@ the dipole strength, $J_0$, to arrive at the following rescaling of the vector fields and coordinates: @f[ \begin{align*} -\hat{x} = k_0x,\qquad +\hat{x} = k_0x, &\qquad \hat{\nabla} = \frac{1}{k_0}\nabla,\\ -\hat{\mathbf{H}} = \frac{k_0}{J_0}\mu^{-1}\mathbf{H},\qquad +\hat{\mathbf{H}} = \frac{k_0}{J_0}\mu^{-1}\mathbf{H},&\qquad \hat{\mathbf{E}} = \frac{k_0^2}{\omega\mu_0 J_0}\mathbf{E},\\ -\hat{\mathbf{J}}_a = \frac{1}{J_0}\mathbf{J}_a,\qquad +\hat{\mathbf{J}}_a = \frac{1}{J_0}\mathbf{J}_a,&\qquad \hat{\mathbf{M}}_a = \frac{k_0}{\omega\mu_0 J_0}\mathbf{M}_a. \end{align*} @f] @@ -385,7 +385,9 @@ be a function of the radial distance $\rho$ from the origin $e_r$. The normal fi $\nu$ of $\Sigma$ is orthogonal to the radial direction $e_r$, which makes $\mathbf{J}_a \equiv 0$ and $\mathbf{M}_a \equiv 0$ within the PML.
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+ +

Introduce a change of coordinates @f[ -- 2.39.5