Domain, Boundary, Edge, and Point Nodes for the Electromagnetic Waves, Beam Envelopes Interface

The Electromagnetic Waves, Beam Envelopes Interface has these domain, boundary, edge, point, and pair nodes available from the ribbon toolbar (Windows users), context menu (Mac or Linux users), or right-click to access the context menu (all users).


	In general, to add a node, go to the Physics toolbar, no matter what operating system you are using. Subnodes are available by clicking the parent node and selecting it from the Attributes menu.

Domain

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Initial Values

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Polarization

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Wave Equation, Beam Envelopes

Boundary Conditions

With no surface currents present, the following boundary conditions for the electric and magnetic fields need to be fulfilled

where the roman numerals denote the fields and normals on the two sides of the boundary.

For the unidirectional formulation, the electric field is given by the product of the electric field envelope E1 and the phase function (see Wave Vectors). Because E1 is being solved for and the phase function is continuous across boundaries, the tangential component of the electric field is always continuous, and thus the first condition is automatically fulfilled. The second condition is equivalent to the natural boundary condition for the unidirectional formulation