Thank the heavens!
So let me explain how awesome this picture is:
This picture is a plot of the Magnetic field of 100kHz in a rectangular wave (0.1×0.05 inches) if a slot 0.002″ thick is cut in the sidewall to allow 100kHz penetration.
Otherwise, all you need to know is my master’s thesis took a huge turn for the better!
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January 23rd, 2008 at 8:16 pm
Congrats again!
January 23rd, 2008 at 8:28 pm
nice! What did you use to generate this data? Was this the HFSS thing you needed?
It looks to be symmetric, that’s a good start!
January 24th, 2008 at 11:07 am
It actually isn’t symmetric and i fixed that today. I will eventually updated the picture to reflect it. I used mathematica and Dyadic Green’s functions (all analytical). This is a magnitude plot of the Magnetic field in a rectangular waveguide of 100kHz coupled into the side wall. Once I get comfortable with the solution I will move into cylindrical coords which is needed for my master’s thesis.
BTW, that eigenvalue stuff was exactly what I had already. I don’t know why you are using an iterative method unless you are trying to find the roots of the Bessel.
January 24th, 2008 at 2:58 pm
Stupid wordpress!! I forgot an email address and lost a huge response. I will summarize then:
1.) I thought it looked symmetric, mainly from looking at the far left and right highest lobes and the two lobes along the long sides of the guide, so i was wrong.
2.) I told you the method was the cylindrical harmonic analysis, I figured you had something similar, if not the same.
3.) The iterative method is to use a computational tool instead of solving it graphically — far more convenient. The zeros you are finding are not for the bessel functions, so you gotta be careful. You are dealing with hybrid modes that cannot be decomposed into TE/TM, so you end up with 6 equations, and 6 arb coefficients. In order to generate a solution from this, the determinant formed by removing the coefficients and forming a matrix, must equal zero to find a nontrivial solution. This is then used to find the k inside the arguments of bessel functions — but the entire determinant is being set equal to zero, not anyone of the equations by itself. This isn’t my work, so hopefully I am getting this right from the conversations I have had about it.
January 27th, 2008 at 8:09 pm
Hey Jason, I also started a new blog, and I have linked to you from it.