Nonlinear propagation in single-mode and multimode fibers in the presence of the optical Kerr effect is described in terms of a number of parameters (four for each propagating mode) which can be interpreted as conjugate variables of a suitable Hamiltonian system. The formal simplicity of this approach, which admittedly furnishes a limited description of nonlinear propagation because of the finiteness of the number of variables employed, is, however, very useful for gaining a straightforward physical insight into the problem. The solution of the pertinent equations, either analytical or numerical, presents a much less formidable task than the solution of the set of nonlinear equations fully describing propagation. © 1988 The American Physical Society.
HAMILTONIAN DESCRIPTION OF NONLINEAR PROPAGATION IN OPTICAL FIBERS / Caglioti, Emanuele; B., Crosignani; P., Di Porto. - In: PHYSICAL REVIEW A, GENERAL PHYSICS. - ISSN 0556-2791. - 38:8(1988), pp. 4036-4042. [10.1103/physreva.38.4036]
HAMILTONIAN DESCRIPTION OF NONLINEAR PROPAGATION IN OPTICAL FIBERS
CAGLIOTI, Emanuele;
1988
Abstract
Nonlinear propagation in single-mode and multimode fibers in the presence of the optical Kerr effect is described in terms of a number of parameters (four for each propagating mode) which can be interpreted as conjugate variables of a suitable Hamiltonian system. The formal simplicity of this approach, which admittedly furnishes a limited description of nonlinear propagation because of the finiteness of the number of variables employed, is, however, very useful for gaining a straightforward physical insight into the problem. The solution of the pertinent equations, either analytical or numerical, presents a much less formidable task than the solution of the set of nonlinear equations fully describing propagation. © 1988 The American Physical Society.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.