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Free-Field Corrections for Condenser Microphones

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A comprehensive theoretical investigation of the free-field response of Briiel and Kjaer standard condenser microphones type 4144 and 4145 for a plane, periodic wave system normally incident upon the microphone diaphragm is presented. The solutions to (a) the sound field in the external free-field region, (b) the internal sound field inside a recess and (c) the vibration of the diaphragm are connected by appropriate boundary conditions leading to a system of simultaneous matrix equations. Sound pressure and particle velocity are here represented by column infinite matrices whose elements consist of expansion coefficients arising from expansion by orthogonal functions. Semi-empirical expressions for diaphragm impedances and tensions are developed and numerical calculations are carried out on an IBM 370/165 digital computer. The numerical results comprise numerical solution convergency criteria, excess pressure and diaphragm displacement distributions versus frequency, frequency response curves versus diaphragm impedances and tensions, free-field corrections dependence on diaphragm impedance, depth and radius of recess and type of gas surrounding the microphone. The numerical results are compared to experimental findings by other authors and a very good agreement is found stressing the utility of the theoretical analysis for calibration and control purposes.
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Document Type: Research Article

Publication date: 01 August 1975

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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