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dc.contributor.authorMaksimenko, VV
dc.contributor.authorZagaynov, VA
dc.contributor.authorAgranovski, IE
dc.date.accessioned2017-05-03T14:40:43Z
dc.date.available2017-05-03T14:40:43Z
dc.date.issued2013
dc.date.modified2014-06-18T05:55:17Z
dc.identifier.issn1050-2947
dc.identifier.doi10.1103/PhysRevA.88.053823
dc.identifier.urihttp://hdl.handle.net/10072/60513
dc.description.abstractIt is shown that complexities in a problem of elastic scattering of a photon on a pair of Rayleigh particles (two small metallic spheres) are similar to the complexities of the classic problem of three bodies in celestial mechanics. In the latter problem, as is well known, the phase trajectory of a system becomes a nonanalytical function of its variables. In our problem, the trajectory of a virtual photon at some frequency could be considered such as the well-known Antoine set (Antoine's necklace) or a chain with interlaced sections having zero topological dimension and fractal structure. Such a virtual "zero-dimensional" photon could be localized between the particles of the pair. The topology suppresses the photon's exit to the real world with dimensional equal-to-or-greater-than units. The physical reason for this type of photon localization is related to the "mechanical rigidity" of interlaced sections of the photon trajectory due to a singularity of energy density along these sections. Within the approximations used in this paper, the effect is possible if the frequency of the incident radiation is equal to double the frequency of the dipole surface plasmon in an isolated particle, which is the only character frequency in the problem. This condition and transformation of the photon trajectory to the zero-dimensional Antoine set reminds of some of the simplest variants of Poincar駳 catastrophe in the dynamics of some nonintegrable systems. The influence of the localization on elastic light scattering by the pair is investigated.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.languageEnglish
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.publisher.placeUnited States
dc.relation.ispartofstudentpublicationN
dc.relation.ispartofpagefrom053823-1
dc.relation.ispartofpageto053823-13
dc.relation.ispartofissue5
dc.relation.ispartofjournalPhysical Review A: Atomic, Molecular and Optical Physics
dc.relation.ispartofvolume88
dc.rights.retentionY
dc.subject.fieldofresearchMathematical sciences
dc.subject.fieldofresearchPhysical sciences
dc.subject.fieldofresearchOther physical sciences not elsewhere classified
dc.subject.fieldofresearchChemical sciences
dc.subject.fieldofresearchcode49
dc.subject.fieldofresearchcode51
dc.subject.fieldofresearchcode519999
dc.subject.fieldofresearchcode34
dc.titleLocalization and Poincaré catastrophe in the problem of a photon scattering on a pair of Rayleigh particles
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.hasfulltextNo Full Text
gro.griffith.authorAgranovski, Igor E.


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