The near-field of spinning sources: Why source identification is hard | Zendy

Michael Carley | Zendy

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The near-field of spinning sources: Why source identification is hard

Author(s) -

Michael Carley

Publication year - 2010

Publication title -

proceedings of meetings on acoustics

Language(s) - English

Resource type - Conference proceedings

ISSN - 1939-800X

DOI - 10.1121/1.3431358

Subject(s) - line source , wavenumber , source field , spinning , field (mathematics) , circular buffer , mathematical analysis , physics , normal mode , radius , transformation (genetics) , mathematics , near and far field , computational physics , optics , acoustics , computer science , engineering , mechanical engineering , pure mathematics , biochemistry , chemistry , computer security , vibration , gene , programming language

An asymptotic analysis is presented for the near field of spinning sources, based on a transformation into cylindrical coordinates centred on a line at a fixed radius from the source axis. This transforms the circular source into an equivalent finite length line source with a source distribution made up of `modes' given as Chebyshev polynomials of the second kind. These `modes' play a role like that of modes in ducts and the analysis shows that their acoustic field propagates or decays depending on whether the mode order is less than, or greater than, wavenumber respectively, similar to the cut-on/cut-off behavior of duct modes. The analysis is used to examine the problem of identifying a source from field measurements. This has a wide range of applications and is recognized to be (very) ill-conditioned. Using the information supplied by the analysis of the source near field, the reasons for this ill-conditioning are explained

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