Dielectric Permittivity #

The dielectric calculation can give you

1. effective permittivity of the system
2. electric field, electric displacement, electric polarization distribution given an external electric field.

Solved Equation #

$\nabla \cdot D = 0$, where $D = \epsilon_0 \epsilon_r E$

• D Electrical displacement
• $\epsilon$$\epsilon_0$ vaccum permittivity, $\epsilon_r$ relative permittivity
• E Electric field

Input options #

The following options are needed for the dielectric calculation.

• input->system The choice of calculation system must be dielectric
• input->external->electricField External applied electric field (V/m), if you want to calculate the electric field distribution within the composite
  • x Applied electric field along x
  • y Applied electric field along y
  • z Applied electric field along z
• input->solver->ref A property tensor for the reference phase called permittivity is needed. Tensor definition is explained [here]

<system>
    <type>dielectric</type>
    <external>
        <electricField>
            <x>0</x>
            <y>0</y>
            <z>2e7</z>
        </electricField>
    </external>
    <solver>
        <ref>
            <name>permittivity</name>
            <rank>2</rank>
            <pointGroup>custom</pointGroup>
            <component>
                <value>100</value>
                <index>11</index>
                <index>22</index>
                <index>33</index>
            </component>
        </ref>
    </solver>
</system>

Output files #

There are 5 possible output files for the dielectric calculation

1. out_effective_permittivity.csv The effective relative permittivity
2. out_electric_potential.vti The electric potential
3. out_electric_field.vti The electric field
4. out_electric_displacement.vti The electric displacement
5. out_polarization.vti The electric polarization