Keywords
Chebychev type approximations, Kelvin functions, Bessel functions
Abstract
Chebychev type approximations are used to represent the Kelvin functions and in turn the complex Bessel functions needed in modeling the characteristic impedance and propagation operator for an acoustic tube. This technique is used to approximate the Bessel functions of the first kind of order zero and order one with complex arguments. The method is then used to approximate the ratio of Bessel functions in an effort to decrease computing time. The results are used in electrical analog expressions for computing system frequency response of miniature transducers.
Original Publication Citation
The Journal of the Acoustical Society of America 65, S75 (1979); https://doi.org/10.1121/1.2017423
BYU ScholarsArchive Citation
Wheeler, Dean R., "The calculation of characteristic impedance and propagation operator associated with isothermal and viscous effects in acoustic tubes" (2005). Faculty Publications. 6529.
https://scholarsarchive.byu.edu/facpub/6529
Document Type
Peer-Reviewed Article
Publication Date
2005-08-11
Publisher
The Journal of the Acoustical Society of America
Language
English
College
Ira A. Fulton College of Engineering
Department
Chemical Engineering
Copyright Status
© 1979 Acoustical Society of America.
Copyright Use Information
https://lib.byu.edu/about/copyright/