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

In summary, the conversation discusses the measurement and description of the path of a standing wave confined inside a metal box. One person suggests that the path is circular or oscillates like a pendulum, while the other mentions a rectangular box and asks for a recommended source for reading about it. The conversation concludes by stating that the problem has been well-studied and the math for rectangular cavities is relatively simple. It is also clarified that a standing wave does not have back and forth movements, but rather stands in place with higher modes.
  • #1
bentlight
1
0
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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  • #2
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.
 
  • #3
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.
 

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

1. What is a standing wave?

A standing wave is a type of wave that occurs when two waves with the same frequency and amplitude travel in opposite directions and interfere with each other, resulting in a stationary pattern.

2. How is a standing wave confined in a metal box?

A standing wave can be confined in a metal box by reflecting off the walls of the box, which results in the waves interfering with each other and forming a stationary pattern within the box.

3. Has the path of a standing wave confined in a metal box been measured?

Yes, the path of a standing wave confined in a metal box has been measured through various experimental techniques, such as using a laser to visualize the pattern or measuring the energy distribution within the box.

4. How is the path of a standing wave confined in a metal box described?

The path of a standing wave confined in a metal box is described using mathematical equations, specifically the wave equation, which takes into account the properties of the wave and the dimensions of the metal box.

5. What is the significance of measuring and describing the path of a standing wave confined in a metal box?

Measuring and describing the path of a standing wave confined in a metal box allows us to better understand the behavior and properties of waves, which has practical applications in fields such as acoustics, optics, and telecommunications. It also helps us to design and optimize metal boxes for specific purposes, such as creating resonant cavities in musical instruments or improving the efficiency of microwave ovens.

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