Commit d93468de authored by Simon Spannagel's avatar Simon Spannagel
Browse files

Manual: drop labels

parent 0e333b95
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+0 −6
Original line number Diff line number Diff line
@@ -14,7 +14,6 @@ configurable threshold $`E_{\textrm{thr}}`$, unity gain is assumed:

```math
\begin{equation}
    \label{eq:multiplication}
    g (E, T) = \left\{
    \begin{array}{ll}
        e^{l \cdot \alpha(E, T)} & E > E_{\textrm{thr}}\\
@@ -33,7 +32,6 @@ The ionization coefficients are parametrized as

```math
\begin{equation}
    \label{eq:multi:massey}
    \alpha (E, T) = A e^{-\frac{B(T)}{E}},
\end{equation}
```
@@ -76,7 +74,6 @@ The Van Overstraeten-De Man model \[[@overstraeten]\] describes impact ionizatio

```math
\begin{equation}
    \label{eq:multi:man}
    \alpha (E, T) = \gamma (T) \cdot a_{\infty} \cdot e^{-\frac{\gamma(T) \cdot b}{E}},
\end{equation}
```
@@ -85,7 +82,6 @@ For holes, two sets of impact ionization parameters $`p = \left\{ a_{\infty}, b

```math
\begin{equation}
    \label{eq:multi:man:h}
    p = \left\{
    \begin{array}{ll}
        p_{\textrm{low}} & E < E_{0}\\
@@ -135,7 +131,6 @@ features a linear dependence on the electric field strength $`E`$. The coefficie

```math
\begin{equation}
    \label{eq:multi:oku}
    \alpha (E, T) = a(T) \cdot E \cdot e^{-\left(\frac{b(T)}{E}\right)^2}.
\end{equation}
```
@@ -182,7 +177,6 @@ coefficient takes a different form than the previous models and is given by

```math
\begin{equation}
    \label{eq:multi:bologna}
    \alpha (E, T) = \frac{E}{a(T) + b(T) e^{d(T) / \left(E + c(T) \right)}},
\end{equation}
```