Lecture -- Governing Equations for Waveguides
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- Опубликовано: 25 май 2024
- This video derives and discusses the equations that will be used to analyze numerous types of transmission lines in following videos. Maxwell’s equations presented and the general form of the solution for a guided mode is presented and explained. The solution is substituted into Maxwell’s equations to arrive at the starting point for all waveguide analysis. Solution categories for waveguide analysis are given. Last, a summary of the governing equations for each type of waveguide is analysis is given.
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Went to bed two hours ago, but I’ll watch this later. once it’s posted :-) good night
Algo Bump. Great Creator
Thank you!
I was playing around with a $5 soft-switching tesla coil from Amazon, I decided to put a spark gap at the end of the secondary coil, across the spark gap I made another loop counterclockwise and placed it inside the secondary coil. When I did this, the LED diode on the circuit board turned into a slightly different color. I held another LED diode in my hand, while holding onto the anode of the LED I touched the cathode to the coils and the LED lit up in my hand. But It was very finicky and only sometimes worked, until the transistor burnt out.
Can someone please tell me why this might happen? The volt meter just read "Err" and I don't know why the LED would light up in my hand.
Is there an analytic solution for a rectangular waveguide with radiused corners? For example, if I machine a deep pocket using a round end mill to create a section of guide with a cross-section the same as WR90 except the corners have a radius of 4 mm. I know it works and I can analyse it numerically, but I'd love to know if there's an analytic solution that reduces to the rectangular case as the corner radii tend toward zero. Thanks so much for all of your content.
I suspect there is, but I am not aware of it and never looked. With pretty high confidence, I can say the effects will be negligible until those bevels become very large. The power in the mode is far away from the corners so a modest level of rounding would not have a significant effect.
Is there a reason you want an analytical solution instead of numerical?
@@empossible1577 Pursuit of beauty, truth and inner meaning of nature perhaps? No, just idle curiosity. I'm manufacturing a series of waveguide to coax transitions for 5.7, 10, 24 and 47 GHz and it appears that for the finished parts, the difference between square corners and a radius has almost no impact other than making the machining simpler. I wondered if there was some deep reason for the results I found and modelled, but I guess it's as you say, in TE10 the energy in the corners is minimal. I'm using OpenEMS FDTD but I just bought your book so I'm looking forward to trying the freq domain approach as well
@@MachiningandMicrowaves I would love to hear your opinion of the book. I have an entire chapter devoted to waveguides.