AES Store

Journal Forum

Reflecting on Reflections - June 2014
1 comment

Quiet Thoughts on a Deafening Problem - May 2014
1 comment

Perceptual Effects of Dynamic Range Compression in Popular Music Recordings - January 2014
5 comments

Access Journal Forum

AES E-Library

Every One-Parameter Acoustic Field Obeys Webster's Horn Equation

The Helmholtz equation admits one-parameter (1P) solutions in u, that is, solutions depending o a single spatial coordinate u, if and only if ytuy and t2u are functions of u alone. The ytuy condition allows u to be transformed to another coordinate (symbol), which measures arc length. For a 1P field inside a tube of orthogonal trajectories to the surfaces of constant (symbol)f, the wave equation reduces exactly to Webster's horn equation, in which (symbol) is the axial coordinate of the horn and S(symbol) the area of a constant-(symbol) surface segment bounded by the tube. The 1P existence conditions can be expressed in terms of coordinate scale factors and used to determine whether a given coordinate system admits 1P waves. They can also be expressed in terms of the principal curvatures of the constant-(symbol) surfaces, leading to the unfortunate conclusion that the only coordinates meeting the conditions are those whose level surfaces are parallel planes, coaxial cylinders, or concentric spheres; that is, no new 1P horn geometries remain to be discovered.

Author:
Affiliation:
JAES Volume 41 Issue 6 pp. 435-451; June 1993
Publication Date:

Click to purchase paper or login as an AES member. If your company or school subscribes to the E-Library then switch to the institutional version. If you are not an AES member and would like to subscribe to the E-Library then Join the AES!

This paper costs $20 for non-members, $5 for AES members and is free for E-Library subscribers.

Learn more about the AES E-Library

E-Library Location:

Start a discussion about this paper!


 
Facebook   Twitter   LinkedIn   Google+   YouTube   RSS News Feeds  
AES - Audio Engineering Society