Complex Integral Equations of the Indirect Approach

2002 ◽  
pp. 50-55 ◽  
Author(s):  
A. M. Linkov
Keyword(s):  
Integral Equations ◽  
Indirect Approach ◽  
Complex Integral

Diffraction by a cylinder of finite length

1956 ◽  
Vol 52 (2) ◽  
pp. 322-335 ◽  
Author(s):  
W. E. Williams ◽  
M. J. Lighthill
Keyword(s):  
Approximate Solution ◽  
Circular Cylinder ◽  
Explicit Expression ◽  
Integral Equations ◽  
Finite Length ◽  
Sound Wave ◽  
Wave Number ◽  
Resonant System ◽  
Cylinder Length ◽  
Complex Integral

ABSTRACTThe diffraction of a plane harmonic sound wave by a hollow circular cylinder of finite length is considered. The problem is treated by using Laplace transforms and is reduced to the solution of two complex integral equations. An approximate solution is obtained for these equations when the product of the wave number (k) and the cylinder length (l) is large. The resonance of the system is considered and an equation derived for the resonant lengths which is then solved approximately for kl large. An explicit expression is obtained for the end correction of an. r–resonant system (i.e. kl ≈ rπ), and also comparison is made with experimental results.

Initial validations of an indirect approach for measuring emotions

2007 ◽  
Author(s):  
Josh Davis ◽  
Amanda D. Angie ◽  
Mary Shane Connelly ◽  
Greg Ruark ◽  
Jason H. Hill
Keyword(s):  
Indirect Approach
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