Complex point receiver formulation of spherical near-field scanning of acoustic fields using higher-order probes

  • Hansen T
  • 4

    Readers

    Mendeley users who have this article in their library.
  • 8

    Citations

    Citations of this article.

Abstract

A computationally efficient probe-corrected acoustic theory based on complex point receivers is presented for computing the field of an arbitrary source of finite extent from measurements with a known probe on a surrounding spherical surface. A framework is presented for determining the required complex point receiver representations for arbitrary probes. The new theory can deal with higher-order probes whose patterns are not rotationally symmetric. The standard theory for spherical near-field scanning of acoustic fields holds only for rotationally-symmetric probes (also called zero-order probes). The new theory, which has exactly the same computational complexity as the standard theory, uses neither translation and rotation theorems nor differential operators. The disadvantage of the new theory is that it requires the use of nonlinear optimization to determine the probe model. Numerical validation is achieved through an example involving a complicated source measured with a rectangular piston transducer probe. © 2009 Elsevier B.V.

Author-supplied keywords

  • Complex-point receivers
  • Near-field scanning
  • Probe representations
  • Sampling on a sphere
  • Spherical-wave expansions

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • Thorkild B. Hansen

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free