Hi Shlok,
From your description, it seems you are trying to apply a Neumann boundary condition to specify that the normal component of the electric field is zero on certain edges of your geometry.
In MATLAB's PDE Toolbox, specifying that only a specific component (x or y) of the electric field should be zero, while leaving the other component unspecified, is not directly supported in the way you might expect using the "electromagneticBC" function. The tool expects a vector value for the 'ElectricField' property, which applies to the entire boundary condition, not to individual components separately.
One workaround is to set the electric field to [0,0] on those edges. This approach, as you've noticed, doesn't allow you to specify conditions on individual components directly through the "electromagneticBC" function.
Given your specific requirements, here's a suggestion on how you might approach the problem:
- For edges with a normal in the y-direction (E2, E3): You've correctly set the electric field to [0,0] to indicate no flux across these boundaries, assuming a Neumann boundary condition of zero normal electric field.
- For the edge with a normal in the x-direction (E5): Setting the electric field to [0,0] implies no flux across this boundary as well, which matches your condition of having the x-component of the electric field be zero.
In MATLAB, setting the entire electric field to zero on a boundary effectively enforces that there's no flux (or normal component of the electric field) crossing that boundary, but it doesn't allow you to specify conditions for individual components directly in the way you're hoping. The toolbox's abstraction level is such that it assumes boundary conditions apply uniformly across the specified boundary edges or faces.
For more complex boundary conditions that involve specific components in specific directions, you might need to look into implementing a custom solution or workaround, such as manipulating the problem formulation or post-processing results to enforce or check your desired conditions.
Hope this helps!
