|
Iterative nonlinear beam propagation using Hamiltonian ray tracing and Wigner distribution function |
Optics Letters, Vol. 35, Issue 24, pp. 4148-4150 (2010)
http://dx.doi.org/10.1364/OL.35.004148
Enhanced HTML 
Acrobat PDF (452 KB)
Abstract
We present an iterative method for simulating beam propagation in nonlinear media using Hamiltonian ray tracing. The Wigner distribution function of the input beam is computed at the entrance plane and is used as the initial condition for solving the Hamiltonian equations. Examples are given for the study of periodic self-focusing, spatial solitons, and Gaussian–Schell model in Kerr-effect media. Simulation results show good agreement with the split-step beam propagation method. The main advantage of ray tracing, even in the nonlinear case, is that ray diagrams are intuitive and easy to interpret in terms of traditional optical engineering terms, such as aberrations, ray-intercept plots, etc.
© 2010 Optical Society of America
OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.3270) Nonlinear optics : Kerr effect
(080.5692) Geometric optics : Ray trajectories in inhomogeneous media
ToC Category:
Nonlinear Optics
History
Original Manuscript: September 30, 2010
Revised Manuscript: November 11, 2010
Manuscript Accepted: November 12, 2010
Published: December 10, 2010
Citation
Hanhong Gao, Lei Tian, Baile Zhang, and George Barbastathis, "Iterative nonlinear beam propagation using Hamiltonian ray tracing and Wigner distribution function," Opt. Lett. 35, 4148-4150 (2010)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-35-24-4148
You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
Related Journal Articles 
- Variational analysis and angular bistability in layered nonlinear Kerr media with phase conjugation (JOSAB)
- Temporal modulation instabilities of counterpropagating waves in a finite dispersive Kerr medium. I. Theoretical model and analysis (JOSAB)
- Temporal modulation instabilities of counterpropagating waves in a finite dispersive Kerr medium. II. Application to Fabry–Perot cavities (JOSAB)
- Heavy-atom effect on second hyperpolarizabilities of thiophene homologues investigated by a femtosecond optical-Kerr-effect experiment and ab initio molecular orbital calculation (JOSAB)
- Interplay between the optical Kerr effect and stimulated light scattering in bulk carbon disulfide (JOSAB)
Related Conference Papers
- Pulse propagation in birefringent Kerr media: Stochastic coupled nonlinear Schrödinger equations
- Second-harmonic generation in waveguides induced by optical vortices
- Semiconductor superlattice waveguides: A universal testbed for nonlinear guided waves
- Spatial solitons in quasi-phase-matched quadratic media: An asymptotic approach
- Extended filamentation of ultrashort pulses in the presence of anomalous group-velocity dispersion
« Previous Article | Next Article »
OSA is a member of 