Has path of a standing wave confined in a metal box been measured and described?

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The path of a standing wave confined inside a rectangular metal box has been extensively studied and described, particularly in the context of microwave cavities. The mathematical representation of a standing wave in such a cavity is defined by the equation cos(wt) * cos(pi*x/X) * cos(pi*y/Y) * cos(pi*z/Z), which illustrates that the wave does not oscillate back and forth but remains stationary. This phenomenon is crucial for various applications in microwave systems, making it a well-documented topic in physics literature.

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Has path of a standing wave confined inside a metal box been measured and described?

I'm thinking path is circular, or, oscillates/bounces back and forth like a pendulum.

I'm thinking of a standing wave moving inside a metal rectangular box.

Has the path of a standing wave inside a rectangular metal box ever been measured and described?

Where can I read this description?

Thanks, bentlight
 
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Find a textbook with a description of microwave cavities.

And yes, this is a very well-studied problem (cavities are used in LOTS of applications, especially in microwave systems); and for rectangular cavities (=boxes) the math is actually quite easy.
 
In addition to f95toli: a standing wave stands. No back and forth movements. It's like cos(wt)*cos (pi*x/X)*cos (pi*y/Y)*cos(pi*z/Z), if needed with higher modes.
 

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