Unified theory to describe and engineer conservation laws in light-matter interactions

Fernandez‐Corbaton, Ivan; Rockstuhl, Carsten

doi:10.1103/physreva.95.053829

Cited by 27 publications

(22 citation statements)

References 57 publications

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“…The illumination bounds of Ref. [59] are closer to the bounds we derive for optimal illumination, with the key difference that our bounds apply generally to scattering quantities (scattered/extinguished power, linear momentum, angular momentum, etc.) that may not be "transfer" properties but which are necessarily quadratic forms.…”

supporting

confidence: 58%

Optimal Nanoparticle Forces, Torques, and Illumination Fields

Liu

Lee

et al. 2018

ACS Photonics

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A universal property of resonant subwavelength scatterers is that their optical cross-sections are proportional to a square wavelength, λ 2 , regardless of whether they are plasmonic nanoparticles, twolevel quantum systems, or RF antennas. The maximum cross-section is an intrinsic property of the incident field : plane waves, with infinite power, can be decomposed into multipolar orders with finite powers proportional to λ 2 . In this Article, we identify λ 2 /c and λ 3 /c as analogous force and torque constants, derived within a more general quadratic scattering-channel framework for upper bounds to optical force and torque for any illumination field. This framework also solves the reverse problem: computing globally optimal "holographic" incident beams, for a fixed collection of scatterers. We analyze structures and incident fields that approach the bounds, which for wavelength-scale bodies show a rich interplay between scattering channels, and we show that spherically symmetric structures are forbidden from reaching the plane-wave force/torque bounds. This framework should enable optimal mechanical control of nanoparticles with light.

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confidence: 58%

Optimal Nanoparticle Forces, Torques, and Illumination Fields

Liu

Lee

et al. 2018

ACS Photonics

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“…Once the T-matrix T is known, the relationship to the scattering matrix S can be written as S = I + 2T, with I being the identity matrix [72]. The difference in the physical meaning between T-and scattering matrix is well known; While the T-matrix maps the incident to the scattered field, the scattering matrix maps the incoming to the outgoing field.…”

Section: Appendix C: T-matrix and The Scattering Matrixmentioning

confidence: 99%

Minimalist Mie coefficient model

Rahimzadegan¹,

Alaee²,

Rockstuhl³

et al. 2020

Opt. Express

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When considering light scattering from a sphere, the ratios between the expansion coefficients of the scattered and the incident field in a spherical basis are known as the Mie coefficients. Generally, Mie coefficients depend on many degrees of freedom, including the dimensions and electromagnetic properties of the spherical object. However, for fundamental research, it is important to have easy expressions for all possible values of Mie coefficients within the existing physical constraints and which depend on the least number of degrees of freedom. While such expressions are known for spheres made from non-absorbing materials, we present here, for the first time to our knowledge, corresponding expressions for spheres made from absorbing materials. To illustrate the usefulness of these expressions, we investigate the upper bound for the absorption cross section of a trimer made from electric dipolar spheres. Given the results, we have designed a dipolar ITO trimer that offers a maximal absorption cross section. Our approach is not limited to dipolar terms, but indeed, as demonstrated in the manuscript, can be applied to higher order terms as well. Using our model, one can scan the entire accessible parameter space of spheres for specific functionalities in systems made from spherical scatterers.

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“…This observation hinges on an optomechanical analogy-formally a mathematical equivalence between the quantum mechanical time-independent Schrödinger equation and the optical wave equation. To understand this perspective, consider a vacuum formulation of the latter, paraxially expressible for rectilinear propagation in the time-independent Helmholtz form, equation (8). For adaptation to account for losses or gains, a source or sink term can be added; the propagation distance can then play the role of time in conventional Schrödinger quantum mechanics.…”

Section: Metamaterials Chiralitymentioning

confidence: 99%

Quantum formulation for nanoscale optical and material chirality: symmetry issues, space and time parity, and observables

Andrews

2018

J. Opt.

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To properly represent the interplay and coupling of optical and material chirality at the photonmolecule or photon-nanoparticle level invites a recognition of quantum facets in the fundamental aspects and mechanisms of light-matter interaction. It is therefore appropriate to cast theory in a general quantum form, one that is applicable to both linear and nonlinear optics as well as various forms of chiroptical interaction including chiral optomechanics. Such a framework, fully accounting for both radiation and matter in quantum terms, facilitates the scrutiny and identification of key issues concerning spatial and temporal parity, scale, dissipation and measurement. Furthermore it fully provides for describing the interactions of structured or twisted light beams with a vortex character, and it leads to the complete identification of symmetry conditions for materials to provide for chiral discrimination. Quantum considerations also lend a distinctive perspective to the very different senses in which other aspects of chirality are recognized in metamaterials. Duly attending to the symmetry principles governing allowed or disallowed forms of chiral discrimination supports an objective appraisal of the experimental possibilities and developing applications.

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Unified theory to describe and engineer conservation laws in light-matter interactions

Cited by 27 publications

References 57 publications

Optimal Nanoparticle Forces, Torques, and Illumination Fields

Optimal Nanoparticle Forces, Torques, and Illumination Fields

Minimalist Mie coefficient model

Quantum formulation for nanoscale optical and material chirality: symmetry issues, space and time parity, and observables

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