Analytical treatment of the high-gain free electron laser equation

Radiation Physics and Chemistry

Volumn 48, Issue 1, 1996, Pages 29-40

  Dattoli, G ^a   Lorenzutta, S ^b   Maino, G ^b   Torre, A ^a  

^a Applied Physics Section   (Italy)

^b Applied Physics Section   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; FREE ELECTRON LASERS; INTEGRODIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES;

CLOSED FORM EXPRESSIONS; ONE DIMENSIONAL; VOLTERRA EQUATIONS;

LASER THEORY;

ARTICLE; CONTROLLED STUDY; LASER; MATHEMATICAL ANALYSIS; RADIATION PHYSICS;

EID: 0030200071     PISSN: 0969806X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0969-806X(95)00412-Q     Document Type: Article

References (11)

1. Appell P. and Kampé de Fériet J. (1926) Fonctions Hyper-geometriques et Hyperspheriques, Polynomes d'Hermite. Gauthier-Villars, Paris.
2. Colson W.B. (1990) FEL Handbook. North-Holland, Amsterdam.
3. Dattoli G., Lorenzutta, S., Maino G. and Torre A. (1994) J. Math. Phys. 35, 4451.
4. Dattoli G., Giannessi L., Mezi L., Torre A. and Caloi R. (1991) Nucl. Instr. Methods A304, 541.
5. Dattoli G., Lorenzutta S., Maino G., Tocci D. and Torre A. (1995) In Proc. Int. Workshop Dynamics of Transport in Plasmas and Charged Beams, Torino, July 1994. World Scientific, Singapore.
6. Lebedev N. N. (1972) Special Functions and their Applications. Dover, New York.
7. Maino G., Menapace E. and Ventura A. (1981) J. Comput. Phys. 40, 294.
8. Oldham K. B. and Spanier J. (1974) The Fractional Calculus. Academic Press, San Diego.
9. Slater L. J. (1970) Confluent hypergeometric functions. In Handbook of Mathematical Functions (Edited by Abramowitz M. and Stegun I.A.), Chap. 13. Dover, New York.
10. Sneddon I. N. (1961) Special Functions of Mathematical Physics and Chemistry. Interscience, New York.
11. Tricomi F. G. (1954) Funzioni Ipergeometriche Confluenti. Cremonese, Rome.