Approximation of the Struve function H1 occurring in impedance calculations

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Abstract

The problem of the rigid-piston radiator mounted in an infinite baffle has been studied widely for tutorial as well as for practical reasons. The resulting theory is commonly applied to model a loudspeaker in the audio-frequency range. A special function, the Struve function H1(z), occurs in the expressions for the rigid-piston radiator. This Struve function is not readily available in programs such as Matlab or Mathcad, nor in computer languages such as FORTRAN and C. Therefore a simple and effective approximation of H1(z) which is valid for all z is developed. Some examples of the application of the Struve function in acoustics are presented. © 2003 Acoustical Society of America.
Original languageEnglish
Pages (from-to)2635-2637
Number of pages3
JournalJournal of the Acoustical Society of America
Volume113
Issue number5
DOIs
Publication statusPublished - 2003

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impedance
radiators
pistons
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audio frequencies
baffles
FORTRAN
loudspeakers
frequency ranges
acoustics
Approximation
Piston
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Acoustics
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Cite this

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Approximation of the Struve function H1 occurring in impedance calculations. / Aarts, R.M.; Janssen, A.J.E.M.

In: Journal of the Acoustical Society of America, Vol. 113, No. 5, 2003, p. 2635-2637.

Research output: Contribution to journalArticleAcademicpeer-review

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T1 - Approximation of the Struve function H1 occurring in impedance calculations

AU - Aarts, R.M.

AU - Janssen, A.J.E.M.

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AB - The problem of the rigid-piston radiator mounted in an infinite baffle has been studied widely for tutorial as well as for practical reasons. The resulting theory is commonly applied to model a loudspeaker in the audio-frequency range. A special function, the Struve function H1(z), occurs in the expressions for the rigid-piston radiator. This Struve function is not readily available in programs such as Matlab or Mathcad, nor in computer languages such as FORTRAN and C. Therefore a simple and effective approximation of H1(z) which is valid for all z is developed. Some examples of the application of the Struve function in acoustics are presented. © 2003 Acoustical Society of America.

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DO - 10.1121/1.1564019

M3 - Article

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JO - Journal of the Acoustical Society of America

JF - Journal of the Acoustical Society of America

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