RT Journal Article
T1 On the propagation of the kurtosis parameter of general beams
A1 Piquero Sanz, Gemma María
A1 Mejías Arias, Pedro Miguel
A1 Martínez Herrero, Rosario
AB The behaviour of the kurtosis parameter of a partially coherent beam that freely propagates is investigated. A general classification scheme of light beams is given in terms of the number of extremals of the kurtosis in free space. Propagation through ABCD optical systems is also considered and a number of general properties of the kurtosis parameter are provided concerning the relationship between the extremals of the kurtosis and the position of the beam waist.
PB Elsevier Science BV
SN 0030-4018
YR 1995
FD 1995-03-15
LK https://hdl.handle.net/20.500.14352/58853
UL https://hdl.handle.net/20.500.14352/58853
LA eng
NO [1] S. Lavi, R. Prochaska and E. Keten, Appl. Optics 27 ( 1988) 3696.[2] R. Simon, N. Mukunda and E.C.G. Sudarshan, Optics Comm. 65 ( 1988) 322.[3] M.J. Bastiaans, Optik 82 (1989) 182.[4] A.E. Siegman, Proc. SPIE 1224 (1990) 2.[5] M.J. Bastiaans, Optik 88 (1991) 163.[6] PA. Btlanger, Optics Lett. 16 (1991) 196.[7] J. Sema, R. Martinez-Herrero and PM. Mejfas, J. Opt. Sot. Am. A 8 ( 1991) 1094.[8] M.J. Bastiaans, Opt. Quantum Electron. 24 (1992) 1011.[9] R. Martínez-Herrero, PM. Mejías, M. Sánchez and J.L.H. Neira, Opt. Quantum Electron. 24 (1992) 1021.[10] H. Weber, Opt. Quantum. Electron. 24 (1992) 1027.[11] M.J. Bastiaans, J. Opt. Sot. Am. 69 (1979) 1710.[12] M.J. Bastiaans, J. Opt. Sot. Am. 69 (1986) 1227.[13] G. Piquero, PM. Mejías and R. Martínez-Henero, Optics Comm. 107 (1994) 179.[14] K. Du and P Loosen, in: Laser Beam Characterization, eds. PM. Mejfas, H. Weber, R. Martinez-Herrero and A. Gonzalez-Ureiia (SEDO, Madrid, 1993) pp. 123-130.[15] J.V. Uspensky, Theory of Equations (McGraw-Hill, New York, 1948).[16] A.E. Siegman, Lasers (Oxford U. Press, Oxford, 1986).
NO © 1995 Elsevier Science B .V.The research work leading to this paper was supported by the Comisión Interministerial de Ciencia y Tecnología of Spain, under Project No. TAP93-211. We thank José Aranda for his valuable suggestions concerning the conditions for the number of extremals of four-order polynomials. We also thank an anonymous referee for pointing out to us some misleading aspects concerning the classification scheme in the former version of this paper.
NO Comisión Interministerial de Ciencia y Tecnología of Spain
DS Docta Complutense
RD 27 abr 2024