ElectricSymmetryValue

ElectricSymmetryValue[pred,vars,pars]

represents an electric symmetry boundary condition for PDEs with predicate pred indicating where it applies, with model variables vars and global parameters pars.

ElectricSymmetryValue[pred,vars,pars,lkey]

represents an electric symmetry boundary condition with local parameters specified in pars[lkey].

Details

ElectricSymmetryValue specifies a symmetry boundary condition for ElectrostaticPDEComponent and ElectricCurrentPDEComponent.
ElectricSymmetryValue specifies a boundary condition for ElectrostaticPDEComponent and ElectricCurrentPDEComponent, and is used as part of the modeling equation:

ElectricSymmetryValue is typically used to model a boundary with mirror symmetry along an axis.

ElectricSymmetryValue models a boundary with mirror symmetry with dependent variable , independent variables and time variable .
Stationary variables vars are vars={V[x₁,…,x_n],{x₁,…,x_n}}.
Frequency-dependent variables vars are vars={V[x₁,…,x_n],ω,{x₁,…,x_n}}.
The polarized form of ElectrostaticPDEComponent with vacuum permittivity in units of [], polarization vector in units of [ $TemplateBox[{InterpretationBox[, 1], {"C", , "/", , {"m", ^, 2}}, coulombs per meter squared, {{(, "Coulombs", )}, /, {(, {"Meters", ^, 2}, )}}}, QuantityTF]$ ] and volume charge density in units of [ $TemplateBox[{InterpretationBox[, 1], {"C", , "/", , {"m", ^, 3}}, coulombs per meter cubed, {{(, "Coulombs", )}, /, {(, {"Meters", ^, 3}, )}}}, QuantityTF]$ ] is given by:

ElectricSymmetryValue with boundary unit normal models:

Model parameters pars as specified for ElectrostaticPDEComponent.
The general stationary electric current model ElectricCurrentPDEComponent with electrical conductivity in units of [, an externally generated current density vector in units of [ $TemplateBox[{InterpretationBox[, 1], {"A", , "/", , {"m", ^, 2}}, amperes per meter squared, {{(, "Amperes", )}, /, {(, {"Meters", ^, 2}, )}}}, QuantityTF]$ ] and current source in units of [ $TemplateBox[{InterpretationBox[, 1], {"A", , "/", , {"m", ^, 3}}, amperes per meter cubed, {{(, "Amperes", )}, /, {(, {"Meters", ^, 3}, )}}}, QuantityTF]$ ] is given by:

ElectricSymmetryValue with boundary unit normal models:

Model parameters pars are specified as for ElectrostaticPDEComponent or ElectricCurrentPDEComponent.
ElectricSymmetryValue is effectively the same as ElectricFluxDensityValue with an electric flux of 0.
ElectricSymmetryValue is effectively the same as ElectricCurrentDensityValue with a normal current density of 0.
The boundary predicate pred can be specified as in NeumannValue.
If the ElectricSymmetryValue depends on parameters that are specified in the association pars as …,keyp_i…,p_iv_i,…], the parameters are replaced with .