Plasmonic Parametric Resonance (PPR) provides a novel method to excite plasmonic modes that are typically difficult to access by direct illumination due to linear or angular momentum mismatch between the modes and the incident field. By temporally modulating the permittivity near a plasmonic structure, PPR enables energy transfer into these modes, overcoming the constraints of energy and momentum conservation. This paper reviews the theory of PPR, explores its implementation via three-wave mixing interactions, and discusses applications in optical limiting through reverse saturable absorption processes. Additionally, we present a time-domain perturbation formalism to address pump saturation, depletion effects, and cascaded second-order nonlinear interactions, highlighting the potential for intermodal conversion.
KEYWORDS: Plasmonics, Physical coherence, Modulation, Energy transfer, Polarization density, Electric fields, Polarization, Particles, Modulation frequency
Dynamic electromagnetic structures, which vary in both space and time, enable unique operational regimes and effects unattainable in static systems due to modal orthogonality constraints. This paper presents a theoretical framework for intermodal energy transfer in time-varying plasmonic structures. By identifying a suitable mechanism for permittivity modulation, we develop a time-domain formalism to analyze the evolution of the dielectric polarization density in the system. Through a perturbative approach, we derive closed-form solutions that describe the energy transfer between a directly excited dipolar mode and a higher-order subradiant mode. We also demonstrate that the modal amplitudes reach a steady state under optimal modulation conditions, which maximize the amplitude of the high-order mode. Finally, we propose a coherent control strategy to enhance the conversion efficiency to higher-order modes.
We present the theory of parametrically resonant surface plasmon polaritons. We show that a temporal modulation of the dielectric properties of the medium adjacent to a metallic surface can lead to efficient energy injection into the surface plasmon polariton modes supported at the interface. When the permittivity modulation is induced by a pump field exceeding a certain threshold intensity, such field undergoes a reverse saturable absorption process. We introduce a time-domain formalism to account for pump saturation and depletion effects. Finally, we discuss the viability of these effects for optical limiting applications.
We present the theory of parametrically resonant surface plasmon polaritons. We show that a temporal modulation of the dielectric properties of the medium adjacent to a metallic surface can lead to efficient energy injection into the surface plasmon polariton modes supported at the interface. When the permittivity modulation is induced by a pump field exceeding a certain threshold intensity, such field undergoes a reverse saturable absorption process. We introduce a time-domain formalism to account for pump saturation and depletion effects. Finally, we discuss the viability of these effects for optical limiting applications. the abstract two lines below author names and addresses.
We discuss a new class of nonlinear absorbers termed Plasmonic Parametric Absorbers (PPA) relying on the recently introduced concept of Plasmonic Parametric Resonance (PPR). In contrast with conventional localized plasmonic resonances, whereby modes are excited directly by an external field of frequency and spatial profile matching those of a given mode of the plasmonic particle, PPR is a form of amplification in which a pump field transfers energy to a mode in an indirect fashion. In PPR in fact the modes of a plasmonic structure are amplified by means of a temporal permittivity modulation of the background medium interacting with an appropriate pump field. Such permittivity variation translates into a modulation of the modal resonant frequency, and under specific conditions amplification can occur. Among the unique characteristics of PPR is the possibility of accessing modes of arbitrarily high order with a simple spatially uniform pump, provided that such pump exceeds a certain intensity threshold. It is such threshold behavior that can lead to PPAs, a type of nonlinear metamaterial absorber with rather unique properties. PPAs exhibit a reverse saturable absorption behavior whereby an incident field that is parametrically resonant with one or more of the modes of a plasmonic particle experiences a strongly enhanced absorption whenever its intensity exceeds the relevant PPR threshold. Such effect makes PPAs very promising candidates for optical limiting applications, in addition of being of fundamental interest in the emerging field of nonlinear plasmonics.
We provide a brief report on our recent work on dielectric and metallic colloidal nanosuspensions with negative polarizability where we observed robust propagation of self-trapped light over a long distance. Our results open up new opportunities in developing soft-matter systems with tunable optical nonlinearities.
Optical trapping of single biological cells has become an established technique for controlling and studying
fundamental behavior of single cells with their environment without having "many-body" interference. The development
of such an instrument for optical diagnostics (including Raman and fluorescence for molecular diagnostics) via laser
spectroscopy with either the "trapping" beam or secondary beams is still in progress. This paper shows the development
of modular multi-spectral imaging optical tweezers combining Raman and Fluorescence diagnostics of biological cells.
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