Mathematical modeling of Fabry–Perot resonators: I Complex-variable analysis by uniformly convergent partial-fraction expansion

2014 ◽  
Vol 31 (2) ◽  
pp. 404
Author(s):  
G. Hugh Song
Keyword(s):  
Mathematical Modeling ◽  
Complex Variable ◽  
Partial Fraction ◽  
Partial Fraction Expansion ◽  
Fabry Perot ◽  
Uniformly Convergent ◽  
Variable Analysis

A Note on the Laplace Transform

1976 ◽  
Vol 13 (3) ◽  
pp. 241-255 ◽  
Author(s):  
T. W. Brady
Keyword(s):  
Laplace Transform ◽  
Complex Variable ◽  
Integral Operators ◽  
New Method ◽  
Partial Fraction ◽  
Convolution Integral ◽  
Linear Combinations ◽  
Partial Fraction Expansion ◽  
The Laplace Transform

A new method of obtaining inverse transforms is suggested, which shows some advantages over partial fraction expansion methods. It uses linear combinations of the complex variable ‘ s’ as differential or integral operators; it also uses properties which a transform and its derivatives possess at the origin of time. The convolution integral is used for some difficult inversions.

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