SERS from light localization positions

An influence of interference on a character of light interaction both with individual fractal cluster (FC) consisting of nanoparticles and with agglomerates of such clusters is investigated. Using methods of the multiple scattering theory, effective dielectric permeability of a micron-size FC composed of non-absorbing nanoparticles is calculated. The cluster could be characterized by a set of effective dielectric permeabilities. Their number coincides with the number of particles, where space arrangement in the cluster is correlated. If the fractal dimension is less than some critical value and frequency corresponds to the frequency of the visible spectrum, then the absolute value of effective dielectric permeability becomes very large. This results in strong renormalization (decrease) of the incident radiation wavelength inside the cluster. The renormalized photons are cycled or trapped inside the system of multi-scaled cavities inside the cluster. A lifetime of a photon localized inside an agglomerate of FCs is a macroscopic value allowing to observe the stimulated emission of the localized light. The latter opens up a possibility for creation of lasers without inverse population of energy levels. Moreover, this allows to reconsider problems of optical cloaking of macroscopic objects. One more feature of fractal structures is a possibility of unimpeded propagation of light when any resistance associated with scattering disappears.

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“…In a multi-particle system, we ought to introduce the scattering amplitude ab on arbitrary pair of particles a and b [10]: …”

Section: Light Localizationmentioning

confidence: 99%

Electrodynamic properties of fractal clusters

Maksimenko

Zagaynov

Agranovski

2014

Waves in Random and Complex Media

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“…The probability of such motion is calculated and peculiarities of behavior of charge density fluctuations explain some specific features of flicker noise. [33] Thomas and coworkers report on distinguishing chemical and electromagnetic enhancement in SERS for the case of para-nitrothiophenol. They show on rigorous grounds that the electromagnetic effect leads to increased absorption Raman scattering cross sections but no change of the relative intensities.…”

Section: Sers Substratesmentioning

confidence: 99%

“…The model considers multiple inelastic scattering of a photon, which moves along a closed loop inside a system of closely‐packed small metallic particles. The probability of such motion is calculated and peculiarities of behavior of charge density fluctuations explain some specific features of flicker noise . Thomas and coworkers report on distinguishing chemical and electromagnetic enhancement in SERS for the case of para‐nitrothiophenol.…”

Section: Introductionmentioning

confidence: 99%

Recent advances in linear and nonlinear Raman spectroscopy. Part VIII

Nafie

2014

J Raman Spectroscopy

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The goal of this annual review is to provide an overview of advances in the field of Raman spectroscopy as reflected in articles published each year in the Journal of Raman Spectroscopy as well as in trends across related journals that have published papers in the broad field of Raman spectroscopy. The content is obtained from statistical data on article counts obtained from Thomson Reuters ISI Web of Knowledge by year and by subfield of Raman spectroscopy. Additional information is gleaned from presentations at the XXIV International Conference on Raman Spectroscopy in Germany in August 2014 and those featuring Raman scattering at SCIX 2014 organized by the Federation of Analytical Chemistry and Spectroscopy Societies in Reno, Nevada, USA in October 2014. Coverage is also provided for topics from the conference GeoRaman 2014 held in June in St. Louis, Missouri and ECONOS 2014 held in May in Dole, France. Finally, papers published in JRS in 2013 are highlighted and arranged by topics at the frontier of Raman spectroscopy. From these various perspectives, it is clear that Raman spectroscopy is a rapidly expanding field that provides sensitive photonic information of matter at the molecular level in an ever‐widening sphere of novel applications. Copyright © 2014 John Wiley & Sons, Ltd.

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“…4 particles. The thin horizontal line is the free one-photon propagator in gauge with zero scalar potential [4,5,11]…”

Section: T Matrix Of Light Scattering On a Separate Particle Of Amentioning

confidence: 99%

“…where n f is the unit polarization vector along the direction of scattered quanta. In a system of many particles, we ought to introduce the scattering amplitude ab on an arbitrary pair of particles a and b [5,11]:…”

Section: Features Of the Theoretical Description Of Light Localimentioning

confidence: 99%

Localization and Poincaré catastrophe in the problem of a photon scattering on a pair of Rayleigh particles

2013

Self Cite

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It 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-greaterthan 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 Poincaré's catastrophe in the dynamics of some nonintegrable systems. The influence of the localization on elastic light scattering by the pair is investigated.

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SERS from light localization positions

Cited by 8 publications

References 7 publications

Electrodynamic properties of fractal clusters

Electrodynamic properties of fractal clusters

Recent advances in linear and nonlinear Raman spectroscopy. Part VIII

Localization and Poincaré catastrophe in the problem of a photon scattering on a pair of Rayleigh particles

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