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HFSS15: Wave Equation

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The field pattern of a traveling wave inside a waveguide can be determined by solving Maxwell’s equations. For each mode m, the port solver solves the following equation obtained from Maxwell’s equation.

 

 

(1)

where

• k0 = w/c is the wave number of free-space

• mr(x,y) is the complex relative permeability.

•  er(x,y) is the complex relative permittivity.

By solving the equation, the electric field mode pattern Em(x,y) and the propagation constant gm are both obtained for all the modes specified for a given port. For the current based impedance calculations, the port solver also solves independently for Hm(x,y) using a corresponding equation for the magnetic field.

Also note that the excitation field pattern computed by the port solver is valid only at a given frequency. A different excitation field pattern is computed for each frequency point of interest.

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