Graduate Multi Gaussian beams explanation

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Multi Gaussian beams can be understood as a method to describe the propagation of sound waves, particularly in ultrasonics, using the ABCD matrix approach. This technique allows for the analysis of beam behavior without the complexities of polarization, making it applicable to sound rather than light. The concept of treating Gaussian beams as point sources at complex locations is essential, with the imaginary displacement linked to the minimum beam diameter. The discussion emphasizes the need for intuitive explanations to bridge understanding in this area. Overall, the ABCD matrix framework offers a structured way to analyze multi Gaussian beams in acoustics.
chiraganand
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Can anyone explain intuitively or give a better explanation of multi gaussian beams and the ABCD matrix approach for sound (ultrasonics) and not light?
Thanks!
 
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http://www.colorado.edu/physics/phys4510/phys4510_fa05/Chapter5.pdf

This should work for sound since I don't see any polarization stuff (I just skimmed the chapter). In my brief contact with gaussian beams they were treated as point sources at complex source locations. The length of the imaginary displacement was related to the min beam diameter.
 
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