Mj. Bastiaans, Wigner distribution function applied to twisted Gaussian light propagatingin first-order optical systems, J OPT SOC A, 17(12), 2000, pp. 2475-2480
A measure for the twist of Gaussian light is expressed in terms of the seco
nd-order moments of the Wigner distribution function. The propagation law f
or these second-order moments between the input plane and the output plane
of a first-order optical system is used to express the tri ist in one plane
in terms of moments in the other plane. Although in general the twist in o
ne plane is determined not only by the twist in the other plane but also by
other combinations of the moments, several special cases exist for which a
direct relationship between the twists can be formulated. Three such cases
, for which zero twist is preserved, are considered: (i) propagation betwee
n conjugate planes, (ii) adaptation of the signal to the system, and (iii)
the case of symplectic Gaussian Light. (C) 2000 Optical Society of America
[S0740-3232(00)00712-2] OCIS codes: 070.2580, 080.2730, 030.5630.