This relationship conveys a lot of information, particularly the phase (and group) velocity, and thus the refractive index. How is the agreement now?įrom the Eigenmode Solver we can obtain the dispersion relation, that is the functional relationship between the frequency, ω, and the propagation constant, β. Re-do the graphs, as in 2 above, with the new data. You don’t need to re-run the adaptive meshing, so keep that box unchecked.)ĥ. button in the Boundary Conditions panel.ĭo the same for the other port, then re-run the simulation and export the data. You can check or change these settings by clicking the Open Boundary. The open (add space) boundary assignment has added some background media of thickness equal to one eighth of the wavelength (in the background medium) at the center frequency (12.5 GHz).
We will accomplish this by shifting the port reference planes. Now we will fix the problem by de-embedding the simulation S-parameters. Explain why these results do not show agreement between simulation and analytical results.
(Make sure you conjugate either the simulation or analytical results so that both use the same time harmonic function convention.) Make a second graph of this type for S 21.Ĥ. On one graph plot the real and imaginary parts of S 11 versus frequency, both from simulation and equation 1 and 2. What is the significance of the frequencies at which S 11 is a minimum? (Hint: consider the phase advance that a wave undergoes making a round trip inside the Teflon slab.) Do these frequencies agree with the simple formula that describes the condition? (You can use the nominal value of 2.1 for the permittivity of the medium for calculating the wavelength or propagation constant.)ģ. Under our PhD research guidance in Chennai, we provide complete PhD support to candidates struggling to complete (or even begin) their research in any subject domain or at any stage of their research process.Now lets see if the simulation and analytical results agree in phase as well as magnitude.Ģ.
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