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Truncating the Pekeris problem.

Richard B Evans¹

¹99F Hugo Road, North Stonington, Connecticut 06359, USA.

The Journal of the Acoustical Society of America

|October 2, 2020

Summary

This summary is machine-generated.

This study presents an exact formula for acoustic field differences in attenuating Pekeris waveguides, improving upon previous approximations. The findings highlight the simplification achieved through finite waveguide truncation versus infinite models.

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Area of Science:

Acoustics
Waveguide Theory
Mathematical Physics

Background:

Pekeris waveguides are crucial in underwater acoustics.
Previous models offered only approximate differences between attenuating and truncated waveguides.
Understanding these differences is key for accurate acoustic modeling.

Purpose of the Study:

To derive the exact mathematical expression for the acoustic field difference.
To replace the approximate method presented by Evans (1983).
To emphasize the theoretical simplification offered by finite truncation.

Main Methods:

Analytical derivation of acoustic field expressions.
Comparison of solutions for attenuating Pekeris waveguides and truncated waveguides.
Mathematical analysis of the resulting difference expression.

Main Results:

An exact formula for the acoustic field difference was successfully derived.
The new expression supersedes the earlier approximate method.
The simplification afforded by finite truncation is mathematically demonstrated.

Conclusions:

The exact expression provides a more accurate representation of acoustic fields.
Finite waveguide truncation offers significant theoretical simplification.
This work refines acoustic modeling in Pekeris waveguide scenarios.