Editing Plasmon (section)

==Plasmon-soliton==
Plasmon-[[soliton]] mathematically refers to the hybrid solution of nonlinear amplitude equation e.g. for a metal-nonlinear media considering both the plasmon mode and solitary solution. A soliplasmon resonance is on the other hand considered as a quasiparticle combining the [[surface plasmon]] mode with spatial soliton as a
result of a resonant interaction.<ref>{{cite journal |last1=Ferrando |first1=Albert |title=Nonlinear plasmonic amplification via dissipative soliton-plasmon resonances |journal=Physical Review A |date=9 January 2017 |volume=95 |issue=1 |page=013816 |doi=10.1103/PhysRevA.95.013816 |bibcode=2017PhRvA..95a3816F |arxiv=1611.02180 |s2cid=119203392 }}</ref><ref>{{cite journal |last1=Feigenbaum |first1=Eyal |last2=Orenstein |first2=Meir |title=Plasmon-soliton |journal=Optics Letters |date=15 February 2007 |volume=32 |issue=6 |pages=674–6 |doi=10.1364/OL.32.000674 |pmid=17308598 |bibcode=2007OptL...32..674F |arxiv=physics/0605144 |s2cid=263798597 }}</ref><ref>{{cite journal |last1=Milián |first1=C. |last2=Ceballos-Herrera |first2=D. E. |last3=Skryabin |first3=D. V. |last4=Ferrando |first4=A. |title=Soliton-plasmon resonances as Maxwell nonlinear bound states |journal=Optics Letters |date=5 October 2012 |volume=37 |issue=20 |pages=4221–3 |doi=10.1364/OL.37.004221 |pmid=23073417 |s2cid=37487811 |url=http://opus.bath.ac.uk/31812/1/Milian_Optics_Letters_2012_37_20_4221.pdf }}</ref><ref>{{cite journal |last1=Bliokh |first1=Konstantin Y. |last2=Bliokh |first2=Yury P. |last3=Ferrando |first3=Albert |title=Resonant plasmon-soliton interaction |journal=Physical Review A |date=9 April 2009 |volume=79 |issue=4 |page=041803 |doi=10.1103/PhysRevA.79.041803 |bibcode=2009PhRvA..79d1803B |arxiv=0806.2183 |s2cid=16183901 }}</ref> To achieve one dimensional solitary propagation in a [[Hybrid plasmonic waveguide|plasmonic waveguide]] while the [[surface plasmons]] should be localized at the interface, the lateral distribution of the field envelope should also be unchanged.

A [[graphene]]-based waveguide is a suitable platform for supporting hybrid plasmon-solitons due to the large effective area and huge nonlinearity.<ref>{{cite journal |last1=Nesterov |first1=Maxim L. |last2=Bravo-Abad |first2=Jorge |last3=Nikitin |first3=Alexey Yu. |last4=García-Vidal |first4=Francisco J. |last5=Martin-Moreno |first5=Luis |title=Graphene supports the propagation of subwavelength optical solitons |journal=Laser & Photonics Reviews |date=March 2013 |volume=7 |issue=2 |pages=L7–L11 |doi=10.1002/lpor.201200079 |bibcode=2013LPRv....7L...7N |arxiv=1209.6184 |s2cid=44534095 }}</ref> For example, the propagation of solitary waves in a graphene-dielectric heterostructure may appear as in the form of higher order solitons or discrete solitons resulting from the competition between [[diffraction]] and nonlinearity.<ref>{{cite journal |last1=Bludov |first1=Yu. V. |last2=Smirnova |first2=D. A. |last3=Kivshar |first3=Yu. S. |last4=Peres |first4=N. M. R. |last5=Vasilevskiy |first5=M. I. |title=Discrete solitons in graphene metamaterials |journal=Physical Review B |date=21 January 2015 |volume=91 |issue=4 |page=045424 |doi=10.1103/PhysRevB.91.045424 |bibcode=2015PhRvB..91d5424B |arxiv=1410.4823 |s2cid=8245248 }}</ref><ref>{{cite journal |last1=Sharif |first1=Morteza A. |title=Spatio-temporal modulation instability of surface plasmon polaritons in graphene-dielectric heterostructure |journal=Physica E: Low-dimensional Systems and Nanostructures |date=January 2019 |volume=105 |pages=174–181 |doi=10.1016/j.physe.2018.09.011 |arxiv=2009.05854 |bibcode=2019PhyE..105..174S |s2cid=125830414 }}</ref>