Optimal Nanoparticle Forces, Torques, and Illumination Fields

Yuxiang Liu; Lingling Fan; Yoonkyung E. Lee; Nicholas X. Fang; Steven G. Johnson; Owen D. Miller

doi:10.1021/acsphotonics.8b01263

Optimal Nanoparticle Forces, Torques, and Illumination Fields

Yuxiang Liu, Lingling Fan, Yoonkyung E. Lee, Nicholas X. Fang, Steven G. Johnson, Owen D. Miller

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

A universal property of resonant subwavelength scatterers is that their optical cross-sections are proportional to a square wavelength, λ2, regardless of whether they are plasmonic nanoparticles, two-level 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 λ2. In this article, we identify λ2/c and λ3/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.

Original language	English (US)
Pages (from-to)	395-402
Number of pages	8
Journal	ACS PHOTONICS
Volume	6
Issue number	2
DOIs	https://doi.org/10.1021/acsphotonics.8b01263
State	Published - Dec 21 2018
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2022-06-07
Acknowledgements: The authors thank Chia -Wei Hsu and Ognjen Ilic for helpful discussions. Y.L. and O.D.M. were supported by the Air Force Office of Scientific Research under award number FA9550-17-1-0093. L.F. was supported by a Shanyuan Overseas scholarship from the Hong Kong Shanyuan Foundation at Nanjing University. S.G.J. was supported in part by the Army Research Office under contract number W911NF-13-D-0001. N.F. was supported by the Air Force Office of Scientific Research (AFOSR) Multidisciplinary Research Program of the University Research Initiative (MURI) and from KAUST-MIT agreement #2950.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

ASJC Scopus subject areas

Biotechnology
Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Electrical and Electronic Engineering

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10.1021/acsphotonics.8b01263

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title = "Optimal Nanoparticle Forces, Torques, and Illumination Fields",

abstract = "A universal property of resonant subwavelength scatterers is that their optical cross-sections are proportional to a square wavelength, λ2, regardless of whether they are plasmonic nanoparticles, two-level 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 λ2. In this article, we identify λ2/c and λ3/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.",

author = "Yuxiang Liu and Lingling Fan and Lee, {Yoonkyung E.} and Fang, {Nicholas X.} and Johnson, {Steven G.} and Miller, {Owen D.}",

note = "KAUST Repository Item: Exported on 2022-06-07 Acknowledgements: The authors thank Chia -Wei Hsu and Ognjen Ilic for helpful discussions. Y.L. and O.D.M. were supported by the Air Force Office of Scientific Research under award number FA9550-17-1-0093. L.F. was supported by a Shanyuan Overseas scholarship from the Hong Kong Shanyuan Foundation at Nanjing University. S.G.J. was supported in part by the Army Research Office under contract number W911NF-13-D-0001. N.F. was supported by the Air Force Office of Scientific Research (AFOSR) Multidisciplinary Research Program of the University Research Initiative (MURI) and from KAUST-MIT agreement #2950. This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

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N2 - A universal property of resonant subwavelength scatterers is that their optical cross-sections are proportional to a square wavelength, λ2, regardless of whether they are plasmonic nanoparticles, two-level 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 λ2. In this article, we identify λ2/c and λ3/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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Optimal Nanoparticle Forces, Torques, and Illumination Fields

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