@article{RodriguezJo07-iir-eprint,
author = {Alejandro Rodriguez and Steven G. Johnson},
title = {Efficient generation of correlated random numbers using {Chebyshev}-optimal magnitude-only {IIR} filters},
journal = {arXiv.org e-Print archive},
eprint = {arXiv:physics/0703152},
year = 2007,
month = {March},
abstract = {We compare several methods for the efficient generation of correlated random sequences (colored noise) by filtering white noise to achieve a desired correlation spectrum. We argue that a class of IIR filter-design techniques developed in the 1970s, which obtain the global Chebyshev-optimum minimum-phase filter with a desired magnitude and arbitrary phase, are uniquely suited for this problem but have seldom been used. The short filters that result from such techniques are crucial for applications of colored noise in physical simulations involving random processes, for which many long random sequences must be generated and computational time and memory are at a premium.}
}
@article{McCauleyRo11-repulsion-eprint,
author = {Alexander P. McCauley and Alejandro W. Rodriguez and M. T. Homer Reid and Steven G. Johnson},
title = {{Casimir} repulsion beyond the dipole regime},
journal = {arXiv.org e-Print archive},
year = 2011,
eprint = {arXiv:1105.0404},
month = {May},
abstract = {We extend a previous result [Phys. Rev. Lett. 105, 090403 (2010)] on Casimir repulsion between a plate with a hole and a cylinder centered above it to geometries in which the central object can no longer be treated as a point dipole. We show through numerical calculations that as the distance between the plate and central object decreases, there is an intermediate regime in which the repulsive force increases dramatically. Beyond this, the force rapidly switches over to attraction as the separation decreases further to zero, in line with the proximity force approximation. We demonstrate that this effect can be understood as a competition between an increased repulsion due to a larger polarizability of the central object interacting with increased fringing fields near the edge of the plate, and attractive forces due primarily to the nonzero thickness of the plate. In comparison with our previous work, we find that using the same plate geometry but replacing the single cylinder with a ring of cylinders, or more generally an extended uniaxial conductor, the repulsive force can be enhanced by a factor of approximately $10^3$. We conclude that this enhancement, although quite dramatic, is still too small to yield detectable repulsive Casimir forces.}
}
@article{McCauleyRe11,
author = {Alexander P. McCauley and M. T. Homer Reid and Matthias Kr{\"{u}}ger and Steven G. Johnson},
title = {Modeling near-field radiative heat transfer from sharp objects using a general 3d numerical scattering technique},
journal = {arXiv.org e-Print archive},
year = 2011,
eprint = {arXiv:1107.2111},
month = {July},
abstract = {We examine the non-equilibrium radiative heat transfer between a plate and finite cylinders and cones, making the first accurate theoretical predictions for the total heat transfer and the spatial heat flux profile for three-dimensional compact objects including corners or tips. We find qualitatively different scaling laws for conical shapes at small separations, and in contrast to a flat/slightly-curved object, a sharp cone exhibits a local \emph{minimum} in the spatially resolved heat flux directly below the tip. The method we develop, in which a scattering-theory formulation of thermal transfer is combined with a boundary-element method for computing scattering matrices, can be applied to three-dimensional objects of arbitrary shape.}
}
@article{ReidWh12-eprint,
author = {M. T. Homer Reid and Jacob White and Steven G. Johnson},
title = {Fluctuating surface currents: A new algorithm for efficient prediction of {Casimir} interactions among arbitrary materials in arbitrary geometries. I. Theory},
journal = {arXiv.org e-Print archive},
year = 2012,
eprint = {arXiv:1203.0075},
month = {March},
abstract = {This is the first of two papers presenting a new method for the efficient numerical computation of Casimir interactions between objects of arbitrary geometries, composed of materials with arbitrary frequency-dependent electrical properties. Our method formulates the Casimir effect as an interaction between effective electric and magnetic current distributions on the surfaces of material bodies, and obtains Casimir energies, forces, and torques from the spectral properties of a matrix that quantifies the interactions of these surface currents. The method can be formulated and understood in two distinct ways: \textbf{(1)} as a consequence of the familiar \textit{stress-tensor} approach to Casimir physics, or, alternatively, \textbf{(2)} as a particular case of the \textit{path-integral} approach to Casimir physics, and we present both formulations in full detail. In addition to providing an algorithm for computing Casimir interactions in geometries that could not be efficiently handled by any other method, the framework proposed here thus achieves an explicit unification of two seemingly disparate approaches to computational Casimir physics. This first paper derives the theoretical underpinnings of our new method; a companion paper will discuss the details of practical numerical implementations.}
}
@article{HashemiQi12-eprint,
author = {Hila Hashemi and Cheng Wei Qiu and Alexander P. McCauley and J. D. Joannopoulos and Steven G. Johnson},
title = {A diameter--bandwidth product limitation of isolated-object cloaking},
journal = {arXiv.org e-Print archive},
year = 2012,
eprint = {arXiv:1203.2190},
month = {March},
abstract = {We show that cloaking of isolated objects is subject to a diameter--bandwidth product limitation: as the size of the object increases, the bandwidth of good (small cross-section) cloaking decreases inversely with the diameter, as a consequence of causality constraints even for perfect fabrication and materials with negligible absorption. This generalizes a previous result that perfect cloaking of isolated objects over a nonzero bandwidth violates causality. Furthermore, we demonstrate broader causality-based scaling limitations on any bandwidth-averaged cloaking cross-section, using complex analysis and the optical theorem to transform the frequency-averaged problem into a single scattering problem with transformed materials.}
}
This file was generated by bibtex2html 1.90.