Shockley2D Class¶

class electrical.shockley.Shockley2D(name='')¶: Finite element thermal solver for 2D Cartesian geometry.

Methods¶

`compute`([loops])	Run electrical calculations
`get_capacitance`()	Get the structure capacitance.
`get_electrostatic_energy`()	Get the energy stored in the electrostatic field in the analyzed structure.
`get_total_current`([nact])	Get total current flowing through active region (mA)
`get_total_heat`()	Get the total heat produced by the current flowing in the structure.
`initialize`()	Initialize solver.
`invalidate`()	Set the solver back to uninitialized state.

Attributes¶

Receivers¶

inTemperature

Receiver of the temperature required for computations [K].

Providers¶

`outConductivity`	Provider of the computed electrical conductivity [S/m].
`outCurrentDensity`	Provider of the computed current density [kA/cm²].
`outHeat`	Provider of the computed heat sources density [W/m³].
`outPotential`	Not available in this solver.
`outVoltage`	Provider of the computed voltage [V].

Other¶

`algorithm`	Chosen matrix factorization algorithm
`beta`	Junction coefficient (1/V).
`convergence`	Convergence method.
`empty_elements`	Should empty regions (e.g. air) be included into computation domain?.
`err`	Maximum estimated error
`geometry`	Geometry provided to the solver
`id`	Id of the solver object.
`initialized`	True if the solver has been initialized.
`iterative`	Iterative matrix parameters (see `IterativeParams`)
`js`	Reverse bias current density (A/m²).
`maxerr`	Limit for the potential updates
`mesh`	Mesh provided to the solver
`ncond`	Conductivity of the n-contact
`pcond`	Conductivity of the p-contact
`pnjcond`	Default effective conductivity of the active region.
`start_cond`	Default effective conductivity of the active region.
`voltage_boundary`	Boundary conditions of the first kind (constant potential)

Descriptions¶

Method Details¶

Shockley2D.compute(loops=0)¶: Run electrical calculations

Shockley2D.get_capacitance()¶

Get the structure capacitance.

Returns:: Total capacitance [pF].

Note

This method can only be used it there are exactly two boundary conditions specifying the voltage. Otherwise use get_electrostatic_energy() to obtain the stored energy $W$ and compute the capacitance as: $C = 2 , W / U^2$, where $U$ is the applied voltage.

Shockley2D.get_electrostatic_energy()¶

Get the energy stored in the electrostatic field in the analyzed structure.

Returns:: Total electrostatic energy [J].

Shockley2D.get_total_current(nact=0)¶: Get total current flowing through active region (mA)

Shockley2D.get_total_heat()¶

Get the total heat produced by the current flowing in the structure.

Returns:: Total produced heat (mW).

Shockley2D.initialize()¶

Initialize solver.

This method manually initialized the solver and sets initialized to True. Normally calling it is not necessary, as each solver automatically initializes itself when needed.

Returns:: solver initialized state prior to this method call.
Return type:: bool

Shockley2D.invalidate()¶

Set the solver back to uninitialized state.

This method frees the memory allocated by the solver and sets initialized to False.

Receiver Details¶

Shockley2D.inTemperature = <property object>¶

Receiver of the temperature required for computations [K].

You will find usage details in the documentation of the receiver class TemperatureReceiver2D.

Example

Connect the receiver to a provider from some other solver:

>>> solver.inTemperature = other_solver.outTemperature

See also

Receciver class: plask.flow.TemperatureReceiver2D

Provider class: plask.flow.TemperatureProvider2D

Data filter: plask.filter.TemperatureFilter2D

Provider Details¶

Shockley2D.outConductivity(mesh, interpolation='default') = <property object>¶

Provider of the computed electrical conductivity [S/m].

Parameters:

mesh (mesh) – Target mesh to get the field at.
interpolation (str) – Requested interpolation method.

Returns:

Data with the electrical conductivity on the specified mesh [S/m].

Example

Connect the provider to a receiver in some other solver:

>>> other_solver.inConductivity = solver.outConductivity

Obtain the provided field:

>>> solver.outConductivity(mesh)
<plask.Data at 0x1234567>

See also

Provider class: plask.flow.ConductivityProvider2D

Receciver class: plask.flow.ConductivityReceiver2D

Shockley2D.outCurrentDensity(mesh, interpolation='default') = <property object>¶

Provider of the computed current density [kA/cm²].

Parameters:

mesh (mesh) – Target mesh to get the field at.
interpolation (str) – Requested interpolation method.

Returns:

Data with the current density on the specified mesh [kA/cm²].

Example

Connect the provider to a receiver in some other solver:

>>> other_solver.inCurrentDensity = solver.outCurrentDensity

Obtain the provided field:

>>> solver.outCurrentDensity(mesh)
<plask.Data at 0x1234567>

See also

Provider class: plask.flow.CurrentDensityProvider2D

Receciver class: plask.flow.CurrentDensityReceiver2D

Shockley2D.outHeat(mesh, interpolation='default') = <property object>¶

Provider of the computed heat sources density [W/m³].

Parameters:

mesh (mesh) – Target mesh to get the field at.
interpolation (str) – Requested interpolation method.

Returns:

Data with the heat sources density on the specified mesh [W/m³].

Example

Connect the provider to a receiver in some other solver:

>>> other_solver.inHeat = solver.outHeat

Obtain the provided field:

>>> solver.outHeat(mesh)
<plask.Data at 0x1234567>

See also

Provider class: plask.flow.HeatProvider2D

Receciver class: plask.flow.HeatReceiver2D

Shockley2D.outPotential = <property object>¶: Not available in this solver. Use outVoltage instead.

Shockley2D.outVoltage(mesh, interpolation='default') = <property object>¶

Provider of the computed voltage [V].

Parameters:

mesh (mesh) – Target mesh to get the field at.
interpolation (str) – Requested interpolation method.

Returns:

Data with the voltage on the specified mesh [V].

Example

Connect the provider to a receiver in some other solver:

>>> other_solver.inVoltage = solver.outVoltage

Obtain the provided field:

>>> solver.outVoltage(mesh)
<plask.Data at 0x1234567>

See also

Provider class: plask.flow.VoltageProvider2D

Receciver class: plask.flow.VoltageReceiver2D

Attribute Details¶

Shockley2D.algorithm = <property object>¶: Chosen matrix factorization algorithm

Shockley2D.beta = <property object>¶

Junction coefficient (1/V).

In case, there is more than one junction you may set $\beta$ parameter for any of them by using beta# property, where # is the junction number (specified by a role junction# or active#).

beta is an alias for beta0.

Shockley2D.convergence = <property object>¶

Convergence method.

If stable, covergence is slown down to ensure stability.

Shockley2D.empty_elements = <property object>¶: Should empty regions (e.g. air) be included into computation domain?

Shockley2D.err = <property object>¶: Maximum estimated error

Shockley2D.geometry = <property object>¶: Geometry provided to the solver

Shockley2D.id = <property object>¶

Id of the solver object. (read only)

Example

>>> mysolver.id
mysolver:category.type

Shockley2D.initialized = <property object>¶

True if the solver has been initialized. (read only)

Solvers usually get initialized at the beginning of the computations. You can clean the initialization state and free the memory by calling the invalidate() method.

Shockley2D.iterative = <property object>¶: Iterative matrix parameters (see IterativeParams)

Shockley2D.js = <property object>¶

Reverse bias current density (A/m²).

In case, there is more than one junction you may set $j_s$ parameter for any of them by using js# property, where # is the junction number (specified by a role junction# or active#).

js is an alias for js0.

Shockley2D.maxerr = <property object>¶: Limit for the potential updates

Shockley2D.mesh = <property object>¶: Mesh provided to the solver

Shockley2D.ncond = <property object>¶: Conductivity of the n-contact

Shockley2D.pcond = <property object>¶: Conductivity of the p-contact

Shockley2D.pnjcond = <property object>¶

Default effective conductivity of the active region.

Effective junction conductivity will be computed starting from this value. Note that the actual junction conductivity after convergence can be obtained with outConductivity.

Shockley2D.start_cond = <property object>¶

Default effective conductivity of the active region.

Effective junction conductivity will be computed starting from this value. Note that the actual junction conductivity after convergence can be obtained with outConductivity.

Shockley2D.voltage_boundary = <property object>¶

Boundary conditions of the first kind (constant potential)

This field holds a list of boundary conditions for the solver. You may access and alter its elements a normal Python list. Each element is a special class that has two attributes:

`place`	Boundary condition location (`plask.mesh.RectangularBase2D.Boundary`).
`value`	Boundary condition value.

When you add new boundary condition, you may use two-argument append, or prepend methods, or three-argument insert method, where you separately specify the place and the value. See the below example for clarification.

Example

>>> solver.voltage_boundary.clear()
>>> solver.voltage_boundary.append(solver.mesh.Bottom(), some_value)
>>> solver.voltage_boundary[0].value = different_value
>>> solver.voltage_boundary.insert(0, solver.mesh.Top(), new_value)
>>> solver.voltage_boundary[1].value == different_value
True

PLaSK User Manual

PLaSK User Manual

Page Contents

Shockley2D Class¶

Methods¶

Attributes¶

Receivers¶

Providers¶

Other¶

Descriptions¶

Method Details¶

Receiver Details¶

Provider Details¶

Attribute Details¶

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PLaSK User Manual

Page Contents

Shockley2D Class¶

Methods¶

Attributes¶

Receivers¶

Providers¶

Other¶

Descriptions¶

Method Details¶

Receiver Details¶

Provider Details¶

Attribute Details¶