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TEM behavior mathematical logic question

Y

yefj

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Hello,I have built a resonator but I want to understand the physics behind it.
The mode is TEM ,Why when I make the resonator 1.5mm shorter I have the resonator frequency going up?
Why when I increase the permitivity of the dielectric inside I have the resonance frequency going down?
Why the permitivity changes the matching of the resonance?
Is there any mathematics that could explain why TEM mode acts this way?
Thanks.

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