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On the coupling integrals arising in the method of moments formulation of laterally bounded structures

Publications associées (36)

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We consider a class of non-uniformly nonlinear elliptic equations whose model is given by -div(vertical bar Du vertical bar(p-2)Du a(x) vertical bar Du vertical bar(q-2)Du) = -div(vertical bar F vertical bar Fp-2 a(x)vertical bar F vertical bar Fq-2) where ...

2016

Numerical methods for nanophotonics: standard problems and future challenges

Olivier Martin, Jérémy Butet, Benjamin Gallinet

Nanoscale photonic systems involve a broad variety of light-matter interaction regimes beyond the diffraction limit and have opened the path for a variety of application opportunities in sensing, solid-state lighting, light harvesting, and optical signal p ...

Wiley-VCH Verlag Berlin2015

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We study the convergence of the integrals required to be evaluated in the surface integral equation (SIE) formulation (or method of moments) for simulating the optical response of plasmonic nanostructures. We analyze how the numerical quadratures used to c ...

Optical Soc Amer2015

We prove sharp regularity theorems for minimisers of a class of variational integrals whose integrand switches between two different types of degenerate elliptic phases, according to the zero set of a modulating coefficient . The model case is given by the ...

2015

Multiple Scattering Tomography

Peter Modregger, Christian David, Marco Stampanoni

Multiple scattering represents a challenge for numerous modern tomographic imaging techniques. In this Letter, we derive an appropriate line integral that allows for the tomographic reconstruction of angular resolved scattering distributions, even in the p ...

Amer Physical Soc2014

On the evaluation of hyper-singular double normal derivative kernels in surface integral equation methods

Juan Ramon Mosig

A stable and efficient numerical scheme for the evaluation of surface integrals with 1/R-3-type singularities is presented. The method is based on the combination of the direct evaluation method and the singularity subtraction technique. The proposed metho ...

Elsevier2013

An efficient and accurate method, based on the weighted averages (WA) extrapolation technique, is presented for the evaluation of semi-infinite range integrals involving products of Bessel functions of arbitrary order. The method requires splitting the int ...

Institute of Electrical and Electronics Engineers2013

Second-harmonic generation from periodic arrays of arbitrary shape plasmonic nanostructures: a surface integral approach

Olivier Martin, Jérémy Butet, Benjamin Gallinet, Krishnan Thyagarajan

A surface integral formulation for the second-harmonic generation (SHG) from periodic metallic-dielectric nano-structures is described. This method requires the discretization of the scatterers' surface in the unit cell only. All the physical quantities in ...

Optical Soc Amer2013

By using the generalized Littlewood theorem about a contour integral involving the logarithm of an analytic function, we show how an infinite number of integral equalities involving integrals of the logarithm of the Riemann zeta-function and equivalent to ...

Springer US2012

We extend the mimetic finite difference (MFD) method to the numerical treatment of magnetostatic fields problems in mixed div-curl form for the divergence-free magnetic vector potential. To accomplish this task, we introduce three sets of degrees of freedo ...

Elsevier2011