We develop the tomographic representation of wavefunctions which are solutions of the generalized nonlinear Schrödinger equation (NLSE) and show its connection with the Weyl-Wigner map. The generalized NLSE is presented in the form of a nonlinear Fokker-Planck-type equation for the standard probability distribution function (tomogram). In particular, this theory is applied to solitons, where tomograms for envelope bright solitons of a family of modified NLSEs are presented and numerically evaluated. Examples of symplectic tomography and Fresnel tomography of linear and nonlinear signals are discussed.
Tomography of solitons / S., De Nicola; Fedele, Renato; M. A., Man'Ko; V. I., Man'Ko. - In: JOURNAL OF OPTICS. - ISSN 1464-4266. - STAMPA. - 5:1(2003), pp. 95-104. [10.1088/1464-4266/5/1/313]
Tomography of solitons
FEDELE, RENATO;
2003
Abstract
We develop the tomographic representation of wavefunctions which are solutions of the generalized nonlinear Schrödinger equation (NLSE) and show its connection with the Weyl-Wigner map. The generalized NLSE is presented in the form of a nonlinear Fokker-Planck-type equation for the standard probability distribution function (tomogram). In particular, this theory is applied to solitons, where tomograms for envelope bright solitons of a family of modified NLSEs are presented and numerically evaluated. Examples of symplectic tomography and Fresnel tomography of linear and nonlinear signals are discussed.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
