physics-equationPreview
Fixed-frequency scalar Helmholtz equation
Governing equation `Fixed-frequency scalar Helmholtz equation` declared by physics interface `Wave Optics`.
Reference contract
| Field | Value | Description |
|---|---|---|
| differentiability | exact-ad | — |
| entity_dimension | domain | — |
| latex | -\nabla^2 E-\omega^2\mu_0\epsilon E=i\omega\mu_0J | — |
| mathml | <math display="block"><mrow><mo>-</mo><msup><mo>nabla</mo><mn>2</mn></msup><mi>E</mi><mo>-</mo><msup><mi>omega</mi><mn>2</mn></msup><msub><mi>mu</mi><mn>0</mn></msub><mi>epsilon</mi><mi>E</mi><mo>=</mo><mi>i</mi><mi>omega</mi><msub><mi>mu</mi><mn>0</mn></msub><mi>J</mi></mrow></math> | — |
| name | Fixed-frequency scalar Helmholtz equation | — |
| section | governing-equation | — |
Governing equation Fixed-frequency scalar Helmholtz equation declared by physics interface Wave Optics.
Contract
| Property | Value |
|---|---|
| differentiability | exact-ad |
| entity_dimension | domain |
| latex | -\nabla^2 E-\omega^2\mu_0\epsilon E=i\omega\mu_0J |
| mathml | <math display="block"><mrow><mo>-</mo><msup><mo>nabla</mo><mn>2</mn></msup><mi>E</mi><mo>-</mo><msup><mi>omega</mi><mn>2</mn></msup><msub><mi>mu</mi><mn>0</mn></msub><mi>epsilon</mi><mi>E</mi><mo>=</mo><mi>i</mi><mi>omega</mi><msub><mi>mu</mi><mn>0</mn></msub><mi>J</mi></mrow></math> |
| name | Fixed-frequency scalar Helmholtz equation |
| section | governing-equation |