Hamiltonian description of nonlinear propagation in optical fibers

Journal Article · Sat Oct 15 00:00:00 EDT 1988 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.38.4036· OSTI ID:6841981

Caglioti, E; Crosignani, B; Di Porto, P

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.

• Research Organization: Istituto Nazionale di Alta Matematica, piazzale Aldo Moro 2, 00185 Roma, Italy
• OSTI ID: 6841981
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 38:8; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360603 -- Materials-- Properties
42 ENGINEERING
420300* -- Engineering-- Lasers-- (-1989)
DIELECTRIC PROPERTIES
DIFFERENTIAL EQUATIONS
ELECTRICAL PROPERTIES
EQUATIONS
FIBERS
HAMILTONIANS
KERR EFFECT
LIGHT TRANSMISSION
MATHEMATICAL OPERATORS
NONLINEAR PROBLEMS
OPTICAL FIBERS
OPTICAL PROPERTIES
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
PULSES
QUANTUM OPERATORS
REFRACTIVITY
WAVE EQUATIONS