PMID: 15244771Jul 13, 2004Paper

Stable vortex solitons supported by competing quadratic and cubic nonlinearities

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
D MihalacheF Lederer

Abstract

We address the stability problem for vortex solitons in two-dimensional media combining quadratic and self-defocusing cubic [chi(2):chi(3)- ] nonlinearities. We consider the propagation of spatial beams with intrinsic vorticity S in such bulk optical media. It was earlier found that the S=1 and S=2 solitons can be stable, provided that their power (i.e., transverse size) is large enough, and it was conjectured that all the higher-order vortices with S> or =3 are always unstable. On the other hand, it was recently shown that vortex solitons with S>2 and very large transverse size may be stable in media combining cubic self-focusing and quintic self-defocusing nonlinearities. Here, we demonstrate that the same is true in the chi(2):chi(3)- model, the vortices with S=3 and S=4 being stable in regions occupying, respectively, approximately 3% and 1.5% of their existence domain. The vortex solitons with S>4 are also stable in tiny regions. The results are obtained through computation of stability eigenvalues, and are then checked in direct simulations, with a conclusion that the stable vortices are truly robust ones, easily self-trapping from initial beams with embedded vorticity. The dependence of the stability region on the chi(2)...Continue Reading

References

Dec 15, 1974·FEBS Letters·F W Dahlquist
Jul 1, 1991·Physical Review. a·J M Soto-CrespoN N Akhmediev
Oct 26, 1992·Physical Review Letters·G A Swartzlander, C T Law
Sep 16, 1996·Physical Review Letters·L TornerD Mihalache
Oct 6, 2000·Physical Review Letters· Di Trapani PG Valiulis
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·D MihalacheF Lederer
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·D MihalacheF Lederer
Dec 2, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·D MihalacheF Lederer
Apr 17, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·L C CrasovanD Mihalache
Jun 21, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·I TowersB A Malomed
Jun 21, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Z H MusslimaniD N Christodoulides
Jul 20, 2001·Physical Review Letters·A S Desyatnikov, Y S Kivshar
Nov 3, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J F Corney, O Bang
Dec 12, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·V I BerezhianiN B Aleksić
Feb 28, 2002·Physical Review Letters·D MihalacheF Lederer
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·D MihalacheL C Crasovan
Sep 21, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D MihalacheF Lederer
Mar 15, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·T A DavydovaYu A Zaliznyak
Jun 6, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D MihalacheF Lederer
Aug 26, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·N-C PanoiuR M Osgood
Aug 29, 2003·Optics Letters·José R SalgueiroYuri S Kivshar
Feb 3, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·N-C PanoiuR M Osgood
Mar 6, 2004·Physical Review Letters·Chien-Chung JengYuri Kivshar
Mar 5, 2004·Physical Review Letters·Matthew S BigelowRobert W Boyd
Dec 15, 2007·Optics Letters·O BangL Torner
Jun 1, 1992·Optics Letters·A W SnyderD J Mitchell
Oct 1, 1995·Optics Letters·A V BuryakS Trillo

❮ Previous
Next ❯

Citations

May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hervé LeblondDumitru Mihalache
Feb 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D MihalacheB A Malomed
Sep 19, 2020·Physical Review. E·Mahmut Bağcı, J Nathan Kutz
Dec 17, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P G KevrekidisD J Frantzeskakis
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zhiyong XuLluis Torner
Oct 13, 2007·Physical Review Letters·Taylor D GrowAlexander L Gaeta
Mar 24, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A S DesyatnikovF Lederer
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·N-C PanoiuD Mihalache
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alexander I YakimenkoYuri Kivshar

❮ Previous
Next ❯

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
D MihalacheF Lederer
Physical Review Letters
W KrolikowskiB Luther-Davies
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
A S DesyatnikovF Lederer
© 2022 Meta ULC. All rights reserved