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A Direct‐Current Network Analyzer for Solving Wave‐Equation Boundary‐Value Problems

 

作者: George W. Swenson,   Thomas J. Higgins,  

 

期刊: Journal of Applied Physics  (AIP Available online 1952)
卷期: Volume 23, issue 1  

页码: 126-131

 

ISSN:0021-8979

 

年代: 1952

 

DOI:10.1063/1.1701957

 

出版商: AIP

 

数据来源: AIP

 

摘要:

The analogy between the difference equations of a wave‐equation boundary‐value problem and the current‐law equations of a direct‐current network is developed. This theory permits construction of a dc network analyzer for solution of the wave equation. Some of the network parameters are necessarily negative. These ``negative resistors'' are simulated by active dc circuits. The determination of characteristic frequencies, characteristic functions, and response to simple harmonic forces is illustrated by solution of an irregularly shaped membrane. Methods are discussed for solving problems involving inhomogeneous or anisotropic media or various types of boundary conditions.

 

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