F‐Wave

Kong, Xuan; Gozani, Shai N.

doi:10.1002/9780471740360.ebs1292

Cited by 14 publications

(15 citation statements)

References 51 publications

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“…Notice that, for specific nanostructures, g can be determined by the classical Maxwell’s equations if the quantum correction is properly addressed under the tunneling conditions . According to the energy conservation law in classical electromagnetic theory for metallic nanostructures without considering losses, , the following normalization condition should be fulfilled where ϵ is the relative permittivity, μ 0 (μ) is the permeability of free space (relative permeability), and τ is the ratio of magnetic induction to electric field. Furthermore, the nonrelativistic interaction Hamiltonian between electrons and electric field of SCP can still be written as − It should be emphasized that here μ ̂ contains all one-body electron position operators in the system, i.e., μ ̂ = e ∑ i r̂ i , where e is the charge of the electron.…”

Section: Methodsmentioning

confidence: 99%

Theory for Modeling of High Resolution Resonant and Nonresonant Raman Images

Duan

Tian

Luo

2016

J. Chem. Theory Comput.

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Tip-enhanced Raman imaging is capable of resolving the inner structure of a single molecule owing to the generation of highly localized nanocavity plasmon. Here we present a general theory and detailed computational methodology to fully describe resonant and nonresonant Raman scattering under the localized plasmonic field. We use an allylcarbinol molecule adsorbed on the gold surface as a model system to illustrate different effects on the Raman images. It is found that the ability of distinguishing an individual vibration mode is highly limited under the resonant condition due to the dominant contribution from the Franck-Condon term and the mode-independent component of the Herzberg-Teller term. The nonresonant Raman images of the single molecule are vibrationally distinguishable and present the vibrational motion of the corresponding vibrational modes in real space. Furthermore, the calculated results confirm that nonlinear optical effects can further improve the resolution of the images. The theoretical and computational methods presented here provide the basic tools to model high resolution Raman images at the single molecular level.

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Section: Methodsmentioning

confidence: 99%

Theory for Modeling of High Resolution Resonant and Nonresonant Raman Images

Duan

Tian

Luo

2016

J. Chem. Theory Comput.

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“…Chirality is common in nature, e.g., in biomolecules that exist in either left- or right-handed forms (known as enantiomers). It is also seen in knotted and twisted fields, such as fluid vortices, , magnetic flux tubes, and circularly polarized light . Indeed, chiral electromagnetic fields have long been exploited to characterize chiral matter.…”

mentioning

confidence: 99%

Optical Chirality Flux as a Useful Far-Field Probe of Chiral Near Fields

Poulikakos¹,

Gutsche

McPeak³

et al. 2016

ACS Photonics

100

134

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To optimize the interaction between chiral matter and highly twisted light, quantities that can help characterize chiral electromagnetic fields near nanostructures are needed. Here, by analogy with Poynting's theorem, we formulate the time-averaged conservation law of optical chirality in lossy dispersive media and identify the optical chirality flux as an ideal far-field observable for characterizing chiral optical near fields. Bounded by the conservation law, we show that it provides precise information, unavailable from circular dichroism spectroscopy, on the magnitude and handedness of highly twisted fields near nanostructures.

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“…Anisotropy is usually modeled by second-order tensors, in general coupling all the components of the electromagnetic field. 1 − 5 The simplest case corresponds to nonmagnetic anisotropic dielectrics, described by the constitutive equations D = ϵ 0 ϵ · E and B = μ 0 H , where ϵ is the relative permittivity tensor and ϵ 0 and μ 0 are the vacuum permittivity and permeability, respectively. When the permittivity tensor is constant in space, for a given wavevector direction Maxwell’s equations support two mutually orthogonal plane-wave eigensolutions with distinct refractive indices, i.e., exhibit birefringence.…”

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confidence: 99%

Electromagnetic Confinement via Spin–Orbit Interaction in Anisotropic Dielectrics

et al. 2016

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We investigate electromagnetic propagation in uniaxial dielectrics with a transversely varying orientation of the optic axis, the latter staying orthogonal everywhere in the propagation direction. In such a geometry, the field experiences no refractive index gradients, yet it acquires a transversely modulated Pancharatnam–Berry phase, that is, a geometric phase originating from a spin–orbit interaction. We show that the periodic evolution of the geometric phase versus propagation gives rise to a longitudinally invariant effective potential. In certain configurations, this geometric phase can provide transverse confinement and waveguiding. The theoretical findings are tested and validated against numerical simulations of the complete Maxwell’s equations. Our results introduce and illustrate the role of geometric phases on electromagnetic propagation over distances well exceeding the diffraction length, paving the way to a whole new family of guided waves and waveguides that do not rely on refractive index tailoring.

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F‐Wave

Cited by 14 publications

References 51 publications

Theory for Modeling of High Resolution Resonant and Nonresonant Raman Images

Theory for Modeling of High Resolution Resonant and Nonresonant Raman Images

Optical Chirality Flux as a Useful Far-Field Probe of Chiral Near Fields

Electromagnetic Confinement via Spin–Orbit Interaction in Anisotropic Dielectrics

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