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Descriptions of Sound Read chapter Read first chapter

2018 | OriginalPaper | Chapter

5. Interface Phenomena for Planar Waves

Author : Jerry H. Ginsberg

Published in: Acoustics-A Textbook for Engineers and Physicists

Publisher: Springer International Publishing

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Abstract

Our attention now turns to situations where a plane wave propagates obliquely relative to a planar interface with another medium. The consequence will be a wave that is somewhat different from the one encountered in a one-dimensional waveguide. A wave might also be transferred into the receiving medium. The analyses will employ Cartesian coordinates aligned with the boundary to describe the multidimensional phenomena. Each topic is important for a variety of applications, such as noise control for wall design. Each topic represents an advance toward our goal of fully understanding how acoustical waves behave.

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previous chapter Principles and Equations for Multidimensional Phenomena
next chapter Spherical Waves and Point Sources
Appendix
Available only for authorised users
Footnotes
1
A. Sommerfeld, “A Green’s Function of the Oscillation Equation,” Jahresber. Dtsch. Math. Ver. 21, 309–353 (1912).
 
2
In many texts, one will find that the expression for R is the form obtained when the numerator and denominator of Eq. (5.2.8) are multiplied by \(\cos \psi _{1}.\) The form used here is chosen for consistency with the next section, wherein the interaction between two fluids is investigated.
 
3
A comprehensive presentation of analytical solutions may be found in the recent text by C. Y. Yang and C. M Yang, Structural Vibration: Exact Solutions for Strings, Membranes, Beams, and Plates, CRC Press (2013).
 
Metadata
Title
Interface Phenomena for Planar Waves
Author
Jerry H. Ginsberg
Copyright Year
2018
Book
Acoustics-A Textbook for Engineers and Physicists

Print ISBN: 978-3-319-56843-0

Electronic ISBN: 978-3-319-56844-7

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-56844-7_5

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