How Can You Predict Sound Amplification in a Conical Volume?

[the_dialogue]

Homework Statement

This is a problem I've been pondering, and I simply need some recommendations for texts to read on the topic.

Suppose you have an enclosed air chamber with an acoustic source on one end. How can one predict the amplification (most important), distortion, and dissipation of the sound that ends up on the other end of the chamber?

I am especially interested in what I think are likely basic mathematics that explain the amplification of the sound if the chamber is conical. This is akin to ear trumpets used for many years. Why does the sound get amplified? What are the relevant acoustic formulations?

2. General questions

What text should I look into to help me understand this topic and answer these kinds of questions?


Thank you!

 

[the_dialogue]

Anyone?

Any guidance regarding acoustics and amplification would be helpful.

Thank you!

EDIT: Could this be moved to Advanced Physics?

Homework Statement

This is a problem I've been pondering, and I simply need some recommendations for texts to read on the topic.

Suppose you have an enclosed air chamber with an acoustic source on one end. How can one predict the amplification (most important), distortion, and dissipation of the sound that ends up on the other end of the chamber?

I am especially interested in what I think are likely basic mathematics that explain the amplification of the sound if the chamber is conical. This is akin to ear trumpets used for many years. Why does the sound get amplified? What are the relevant acoustic formulations?

2. General questions

What text should I look into to help me understand this topic and answer these kinds of questions?


Thank you!