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

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

doi:10.1016/j.apacoust.2008.01.003

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

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

The Hong Kong Polytechnic University

Research output: Journal article publication › Journal article › Academic research › peer-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 language	English
Pages (from-to)	194-199
Number of pages	6
Journal	Applied Acoustics
Volume	70
Issue number	1
DOIs	https://doi.org/10.1016/j.apacoust.2008.01.003
Publication status	Published - 1 Jan 2009

Keywords

Characteristic function
Indoor sound fields
Steady-state solution

ASJC Scopus subject areas

Acoustics and Ultrasonics

More information

10.1016/j.apacoust.2008.01.003

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

Abstract

Keywords

ASJC Scopus subject areas

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