Efficient Computation of Power, Force, and Torque in BEM Scattering Calculations

Abstract

We present concise, computationally efficient formulas for several quantities of interest -- including absorbed and scattered power, optical force (radiation pressure), and torque -- in scattering calculations performed using the boundary-element method (BEM) [also known as the method of moments (MOM)]. Our formulas compute the quantities of interest \textit{directly} from the BEM surface currents with no need ever to compute the scattered electromagnetic fields. We derive our new formulas and demonstrate their effectiveness by computing power, force, and torque in a number of example geometries. Free, open-source software implementations of our formulas are available for download online.

References in corpus (4)

• Trace formulae for non-equilibrium Casimir interactions, heat radiation and heat transfer for arbitrary objects
• Fluctuating surface-current formulation of radiative heat transfer: theory and applications
• Generalized Taylor-Duffy Method for Efficient Evaluation of Galerkin Integrals in Boundary-Element Method Computations
• Fluctuation-Induced Phenomena in Nanoscale Systems: Harnessing the Power of Noise

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