ISSN:
0392-6737
Keywords:
Free-electron lasers
;
Integral equations
;
Functional analysis
;
Conference proceedings
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Summary We discuss some mathematical and computational problems relevant to the solutions of both linear and non-linear integral equations arising in radiation transport. By means of a functional-operator approach, analytic solutions for the FEL (Free Electron Laser) integral equations are found in terms of Bessel-Clifford functions. As for applications of this method to non-linear equations, the same technique allows us to obtain an efficient yet simple algorithm for the numerical solution of the Ambartsumian-ChandrasekharH-equation corresponding to a Neumann-series expansion.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02458819