An examination of the steady-state solution of the differential equation governing indoor sound fields

Jianxin Su, Cheuk Ming Mak, Huizhan Zhang, Songling Zhao

Research output: Journal article publicationJournal articleAcademic researchpeer-review

Abstract

The use of the characteristic functions to obtain a steady-state sound field is based on the completeness of the set of the characteristic functions. For absorptive boundaries, the characteristic functions are complex functions, and there is no proof in mathematics of whether the set of the characteristic functions is complete. In addition, the use of the characteristic functions to obtain a steady-state sound field of three-dimensional space requires the solving of a huge amount of the complex number knxThe aims of this paper are to examine whether the set of the characteristic functions can still be complete for strong absorptive boundaries and to provide a practical solving method for knx.
Original languageEnglish
Pages (from-to)194-199
Number of pages6
JournalApplied Acoustics
Volume70
Issue number1
DOIs
Publication statusPublished - 1 Jan 2009

Keywords

  • Characteristic function
  • Indoor sound fields
  • Steady-state solution

ASJC Scopus subject areas

  • Acoustics and Ultrasonics

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