WIP paper
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@ -864,8 +864,8 @@ In many scattering problems considered in practice, the driving field is
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with expansion coefficients
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with expansion coefficients
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\begin_inset Formula
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\begin_inset Formula
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\begin{eqnarray}
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\begin{eqnarray}
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\rcoeffptlm{}1lm\left(\vect k,\vect E_{0}\right) & = & 4\pi i^{l}\vshD1lm\left(\uvec k\right),\nonumber \\
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\rcoeffptlm{}1lm\left(\vect k,\vect E_{0}\right) & = & 4\pi i^{l}\vshD 1lm\left(\uvec k\right),\nonumber \\
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\rcoeffptlm{}2lm\left(\vect k,\vect E_{0}\right) & = & -4\pi i^{l+1}\vshD2lm\left(\uvec k\right).\label{eq:plane wave expansion}
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\rcoeffptlm{}2lm\left(\vect k,\vect E_{0}\right) & = & -4\pi i^{l+1}\vshD 2lm\left(\uvec k\right).\label{eq:plane wave expansion}
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\end{eqnarray}
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\end{eqnarray}
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\end_inset
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\end_inset
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@ -1281,7 +1281,7 @@ but this form is less suitable for numerical calculations due to the fact
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\begin_inset Formula $l$
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\begin_inset Formula $l$
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\end_inset
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\end_inset
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, and the truncation is not justified in this case.
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, hence the truncation is not justified in this case.
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\begin_inset Note Note
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\begin_inset Note Note
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status open
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status open
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@ -1537,9 +1537,9 @@ outside.
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In our convention, the regular translation operator can be expressed explicitly
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In our convention, the regular translation operator can be expressed explicitly
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as
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as
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\begin_inset Formula
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\begin_inset Formula
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\begin{equation}
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\begin{multline}
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\tropr_{\tau lm;\tau'l'm'}\left(\vect d\right)=\dots.\label{eq:translation operator}
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\tropr_{\tau lm;\tau l'm'}\left(\vect d\right)=\dots.\label{eq:translation operator}
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\end{equation}
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\end{multline}
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\end_inset
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\end_inset
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