Loading doc/usermanual/05_models/05_impact_ionization.md +36 −0 Original line number Diff line number Diff line Loading @@ -196,6 +196,42 @@ The parameter values implemented in Allpix Squared are taken from Table 1 of \[[ This model can be selected in the configuration file via the parameter `multiplication_model = "bologna"`. ## Custom Impact Ionization Models Allpix Squared provides the possibility to use fully custom impact ionization models. In order to use a custom model, the parameter `multiplication_model = "custom"` needs to be set in the configuration file. Additionally, the following configuration keys have to be provided: - `multiplication_function_electrons`: The formula describing the electron impact ionization gain. - `multiplication_function_holes`: The formula describing the hole impact ionization gain. The functions defined via these parameters can depend on the local electric field. In order to use the electric field magnitude in the formula, an `x` has to be placed at the respective position. Parameters of the functions can either be placed directly in the formulas in framework-internal units, or provided separately as arrays via the `multiplication_parameters_electrons` and `multiplication_parameters_electrons`. Placeholders for parameters in the formula are denoted with squared brackets and a parameter number, for example `[0]` for the first parameter provided. Parameters specified separately from the formula can contain units which will be interpreted automatically. {{% alert title="Warning" color="warning" %}} Parameters directly placed in the impact ionization formula have to be supplied in framework-internal units since the function will be evaluated with both electric field strength and doping concentration in internal units. It is recommended to use the possibility of separately configuring the parameters and to make use of units to avoid conversion mistakes. {{% /alert %}} {{% alert title="Warning" color="warning" %}} It should be noted that the temperature passed via the module configuration is not evaluated for the custom impact ionization model, but the model parameters need to be manually adjusted to the required temperature. {{% /alert %}} The interpretation of the custom impact ionization functions is based on the `ROOT::TFormula` class \[[@rootformula]\] and supports all corresponding features, mathematical expressions and constants. [@massey]: https://doi.org/10.1109/TED.2006.881010 [@overstraeten]: https://doi.org/10.1016/0038-1101(70)90139-5 [@okuto]: https://doi.org/10.1016/0038-1101(75)90099-4 Loading Loading
doc/usermanual/05_models/05_impact_ionization.md +36 −0 Original line number Diff line number Diff line Loading @@ -196,6 +196,42 @@ The parameter values implemented in Allpix Squared are taken from Table 1 of \[[ This model can be selected in the configuration file via the parameter `multiplication_model = "bologna"`. ## Custom Impact Ionization Models Allpix Squared provides the possibility to use fully custom impact ionization models. In order to use a custom model, the parameter `multiplication_model = "custom"` needs to be set in the configuration file. Additionally, the following configuration keys have to be provided: - `multiplication_function_electrons`: The formula describing the electron impact ionization gain. - `multiplication_function_holes`: The formula describing the hole impact ionization gain. The functions defined via these parameters can depend on the local electric field. In order to use the electric field magnitude in the formula, an `x` has to be placed at the respective position. Parameters of the functions can either be placed directly in the formulas in framework-internal units, or provided separately as arrays via the `multiplication_parameters_electrons` and `multiplication_parameters_electrons`. Placeholders for parameters in the formula are denoted with squared brackets and a parameter number, for example `[0]` for the first parameter provided. Parameters specified separately from the formula can contain units which will be interpreted automatically. {{% alert title="Warning" color="warning" %}} Parameters directly placed in the impact ionization formula have to be supplied in framework-internal units since the function will be evaluated with both electric field strength and doping concentration in internal units. It is recommended to use the possibility of separately configuring the parameters and to make use of units to avoid conversion mistakes. {{% /alert %}} {{% alert title="Warning" color="warning" %}} It should be noted that the temperature passed via the module configuration is not evaluated for the custom impact ionization model, but the model parameters need to be manually adjusted to the required temperature. {{% /alert %}} The interpretation of the custom impact ionization functions is based on the `ROOT::TFormula` class \[[@rootformula]\] and supports all corresponding features, mathematical expressions and constants. [@massey]: https://doi.org/10.1109/TED.2006.881010 [@overstraeten]: https://doi.org/10.1016/0038-1101(70)90139-5 [@okuto]: https://doi.org/10.1016/0038-1101(75)90099-4 Loading