

Published papers
HRPublications
[1]

A. W. Rodriguez, M. T. H. Reid, F. Intravaia, A. Woolf, D. A. R. Dalvit,
F. Capasso, and S. G. Johnson. Geometryinduced Casimir suspension of
oblate bodies in fluids. Phys. Rev. Lett., vol. 111, p. 180402, Oct
2013.
[ bib 
DOI 
http ]

[2]

A. W. Rodriguez, M. T. H. Reid, and S. G. Johnson. Fluctuatingsurfacecurrent formulation of radiative heat transfer: Theory
and applications. Phys. Rev. B, vol. 88, p. 054305, Aug 2013.
[ bib 
DOI 
http ]

[3]

J. Zou, Z. Marcet, A. W. Rodriguez, M. T. H. Reid, A. P. McCauley, I. I.
Kravchenko, T. Lu, Y. Bao, S. G. Johnson, and H. B. Chan. Casimir forces
on a silicon micromechanical chip. Nat. Commun., vol. 4, p. 1845, May
2013.
[ bib 
DOI 
.html ]

[4]

M. T. H. Reid, J. White, and S. G. Johnson. Fluctuating surface currents: An
algorithm for efficient prediction of Casimir interactions among arbitrary
materials in arbitrary geometries. Phys. Rev. A, vol. 88, p. 022514,
Aug 2013.
[ bib 
DOI 
http ]

[5]

J. Feist, M. T. H. Reid, and M. F. Kling. Nanoplasmonic nearfield
synthesis. Phys. Rev. A, vol. 87, p. 033816, Mar 2013.
[ bib 
DOI 
http ]

[6]

A. W. Rodriguez, M. T. H. Reid, J. Varela, J. D. Joannopoulos, F. Capasso, and
S. G. Johnson. Anomalous nearfield heat transfer between a cylinder and a
perforated surface. Phys. Rev. Lett., vol. 110, p. 014301, Jan 2013.
[ bib 
DOI 
http ]

[7]

A. W. Rodriguez, M. T. H. Reid, and S. G. Johnson. Fluctuatingsurfacecurrent formulation of radiative heat transfer for
arbitrary geometries. Phys. Rev. B, vol. 86, p. 220302, Dec 2012.
[ bib 
DOI 
http ]

[8]

A. P. McCauley, M. T. H. Reid, M. Krüger, and S. G. Johnson. Modeling
nearfield radiative heat transfer from sharp objects using a general
threedimensional numerical scattering technique. Phys. Rev. B,
vol. 85, p. 165104, Apr 2012.
[ bib 
DOI 
http ]

[9]

V. A. Golyk, M. Krüger, M. T. H. Reid, and M. Kardar. Casimir forces
between cylinders at different temperatures. Phys. Rev. D, vol. 85,
p. 065011, Mar 2012.
[ bib 
DOI 
http ]

[10]

M. T. H. Reid, J. White, and S. G. Johnson. Computation of Casimir
interactions between arbitrary threedimensional objects with arbitrary
material properties. Phys. Rev. A, vol. 84, p. 010503, Jul 2011.
[ bib 
DOI 
http ]

[11]

K. Pan, A. P. McCauley, A. W. Rodriguez, M. T. H. Reid, J. K. White, and S. G.
Johnson. Calculation of nonzerotemperature Casimir forces in the time
domain. Phys. Rev. A, vol. 83, p. 040503, Apr 2011.
[ bib 
DOI 
http ]

[12]

A. P. McCauley, R. Zhao, M. T. H. Reid, A. W. Rodriguez, J. Zhou, F. S. S.
Rosa, J. D. Joannopoulos, D. A. R. Dalvit, C. M. Soukoulis, and S. G.
Johnson. Microstructure effects for Casimir forces in chiral
metamaterials. Phys. Rev. B, vol. 82, p. 165108, Oct 2010.
[ bib 
DOI 
http ]

[13]

M. Levin, A. P. McCauley, A. W. Rodriguez, M. T. H. Reid, and S. G. Johnson. Casimir repulsion between metallic objects in vacuum. Phys. Rev.
Lett., vol. 105, p. 090403, Aug 2010.
[ bib 
DOI 
http ]

[14]

M. T. H. Reid, A. W. Rodriguez, J. White, and S. G. Johnson. Efficient
computation of Casimir interactions between arbitrary 3d objects.
Phys. Rev. Lett., vol. 103, p. 040401, Jul 2009.
[ bib 
DOI 
http ]

[15]

M. Reid, A. Rodriguez, and S. Johnson. Fluctuationinduced phenomena in
nanoscale systems: Harnessing the power of noise. Proceedings of the
IEEE, vol. 101, no. 2, pp. 531545, 2013.
[ bib 
DOI ]

[16]

O. D. Miller, C. W. Hsu, M. T. H. Reid, W. Qiu, B. G. DeLacy, J. D.
Joannopoulos, M. Soljačić, and S. G. Johnson. Fundamental
limits to extinction by metallic nanoparticles. Physical Review
Letters, vol. 112, p. 123903, March 2014.
[ bib 
DOI 
arXiv 
.pdf ]
We show that there are shapeindependent upper bounds to the extinction cross section per unit volume of dilute, randomly arranged nanoparticles, given only material permittivity. Underlying the limits are restrictive sum rules that constrain the distribution of quasistatic eigenvalues. Surprisingly, optimally designed spheroids, with only a single quasistatic degree of freedom, reach the upper bounds for four permittivity values. Away from these permittivities, we demonstrate computationally optimized structures that surpass spheroids and approach the fundamental limits.

[17]

A. Kumar, K. H. Fung, M. T. H. Reid, and N. X. Fang. Transformation optics
scheme for twodimensional materials. Opt. Lett., vol. 39,
pp. 21132116, Apr 2014.
[ bib 
DOI 
http ]
Twodimensional optical materials, such as graphene, can be characterized by surface conductivity. So far, the transformation optics schemes have focused on threedimensional properties such as permittivity ϵ and permeability μ. In this Letter, we use a scheme for transforming surface currents to highlight that the surface conductivity transforms in a way different from ϵ and μ. We use this surface conductivity transformation to demonstrate an example problem of reducing the scattering of the plasmon mode from sharp protrusions in graphene.

[18]

M. Reid, J. White, and S. Johnson. Generalized TaylorDuffy method for
efficient evaluation of Galerkin integrals in boundaryelement method
computations. Antennas and Propagation, IEEE Transactions on,
vol. PP, no. 99, pp. 11, 2014.
[ bib 
DOI ]

[19]

A. Kumar, K. H. Fung, M. T. H. Reid, and N. X. Fang. Photon emission rate
engineering using graphene nanodisc cavities. Opt. Express, vol. 22,
pp. 64006415, Mar 2014.
[ bib 
DOI 
http ]
In this work, we present a systematic study of the plasmon modes in a system of vertically stacked pair of graphene discs. Quasistatic approximation is used to model the eigenmodes of the system. Eigenresponse theory is employed to explain the spatial dependence of the coupling between the plasmon modes and a quantum emitter. These results show a good match between the semianalytical calculation and fullwave simulations. Secondly, we have shown that it is possible to engineer the decay rates of a quantum emitter placed inside and near this cavity, using Fermi level tuning, via gate voltages and variation of emitter location and polarization. We highlighted that by coupling to the bright plasmon mode, the radiative efficiency of the emitter can be enhanced compared to the single graphene disc case, whereas the dark plasmon mode suppresses the radiative efficiency.

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Preprints
HRPreprints
[1]

M. T. Homer Reid and S. G. Johnson. Efficient Computation of Power,
Force, and Torque in BEM Scattering Calculations. ArXiv eprints,
July 2013.
[ bib 
arXiv ]

[2]

A. P. McCauley, A. W. Rodriguez, M. T. Homer Reid, and S. G. Johnson. Casimir repulsion beyond the dipole regime. ArXiv eprints, May
2011.
[ bib 
arXiv ]

[3]

M. F. Maghrebi and H. Reid. Entanglement entropy of dispersive media
from thermodynamic entropy in one higher dimension. ArXiv eprints,
Dec. 2014.
[ bib 
arXiv ]

This file was generated by
bibtex2html 1.97.

PhD Thesis
Abstract:
For most of its 60 year history, the Casimir effect was an obscure
theoretical backwater, but technological advances over the past decade
have promoted this curious manifestation of quantum and thermal
fluctuations to a position of central importance in modern
experimental physics. Dramatic progress in the measurement of
Casimir forces since 1997 has created a demand for theoretical
tools that can predict Casimir interactions in realistic experimental
geometries and in materials with realistic frequencydependent electrical
properties.
This work presents a new paradigm for efficient numerical
computation of Casimir interactions. Our new technique, which we
term the fluctuatingsurfacecurrent (FSC) approach
to computational Casimir physics, borrows ideas from the
boundaryelement method of computational electromagnetism to
express Casimir energies, forces, and torques between bodies
of arbitrary shapes and materials in terms of interactions among
effective electric and magnetic surface currents flowing on the
surfaces of the objects. We demonstrate that the master equations
of the FSC approach arise as logical consequences of either of two
seemingly disparate Casimir paradigmsthe stresstensor
approach and the pathintegral (or scattering)
approachand this work thus achieves an unexpected unification
of these two otherwise quite distinct theoretical frameworks.
But a theoretical technique is only as relevant as its practical
implementations are useful, and for this reason we present
three distinct numerical implementations of the FSC formulae,
each of which poses a series of unique technical challenges.
Finally, using our new theoretical paradigm and our practical
implementations of it, we obtain new predictions of Casimir
interactions in a number of experimentally relevant geometric
and material configurations that would be difficult or
impossible to treat with any other existing Casimir method.

