tidy3d.SlotboomBandGapNarrowing

tidy3d.SlotboomBandGapNarrowing#

class SlotboomBandGapNarrowing[source]#

Bases: Tidy3dBaseModel

Parameters for the Slotboom model for band-gap narrowing.

Parameters:

  • attrs (dict = {}) – Dictionary storing arbitrary metadata for a Tidy3D object. This dictionary can be freely used by the user for storing data without affecting the operation of Tidy3D as it is not used internally. Note that, unlike regular Tidy3D fields, attrs are mutable. For example, the following is allowed for setting an attr obj.attrs['foo'] = bar. Also note that Tidy3D` will raise a TypeError if attrs contain objects that can not be serialized. One can check if attrs are serializable by calling obj.json().

  • v1 (PositiveFloat) – [units = V]. $V_{1,bgn}$ parameter

  • n2 (PositiveFloat) – [units = 1/cm^3]. $N_{2,bgn}$ parameter

  • c2 (float) – $C_{2,bgn}$ parameter

  • min_N (NonNegativeFloat) – [units = 1/cm^3]. Bandgap narrowing is applied at location where total doping is higher than ‘min_N’.

Notes

The Slotboom band-gap narrowing \(\Delta E_G\) model is discussed in [1] as follows:

\[ \begin{align}\begin{aligned}\Delta E_G = V_{1,bgn} \left( \ln \left( \frac{N_{tot}}{N_{2,bgn}} \right) + \sqrt{\left( \ln \left( \frac{N_{tot}}{N_{2,bgn}} \right) \right)^2 + C_{2,bgn}} \right) \quad \text{if} \quad N_{tot} \geq 10^{15} \text{cm}^{-3},\\\Delta E_G = 0 \quad \text{if} \quad N_{tot} < 10^{15} \text{cm}^{-3}.\end{aligned}\end{align} \]

Note that \(N_{tot}\) is the total doping as defined within a SemiconductorMedium.

Example#

>>> import tidy3d as td
>>> default_Si = td.SlotboomBandGapNarrowing(
...    v1=6.92 * 1e-3,
...    n2=1.3e17,
...    c2=0.5,
...    min_N=1e15,
... )

Attributes

attrs

Methods

Inherited Common Usage

v1#
n2#
c2#
min_N#
__hash__()#

Hash method.