2020
. Approximate impedance for time-harmonic Maxwell's equations in a non planar domain with contrasted multi-thin layers. J. Math. Anal. Appl., 489(1):124141, September 2020. URL https://doi.org/10.1016/j.jmaa.2020.124141. [preprint]
. The stochastic nonlinear Schrödinger equation in unbounded domains and non-compact manifolds. NoDEA Nonlinear Differential Equations Appl., 27:40, July 2020. URL https://doi.org/10.1007/s00030-020-00642-y. [preprint]
. On the convergence of Lawson methods for semilinear stiff problems. Numer. Math., 1–28, May 2020. URL https://doi.org/10.1007/s00211-020-01120-4. Online first. [preprint]
. Towards more general constitutive relations for metamaterials: a checklist for consistent formulations. Phys. Rev. B, 101(19):195411, May 2020. URL https://doi.org/10.1103/PhysRevB.101.195411. [preprint]
. Finite element error analysis of wave equations with dynamic boundary conditions: $L^2$ estimates. IMA J. Numer. Anal., 1–46, April 2020. URL https://doi.org/10.1093/imanum/drz073. Online first. [preprint]
. The parallel finite element system M++ with integrated multilevel preconditioning and multilevel Monte Carlo methods. Comput. Math. Appl., 1–27, April 2020. URL https://doi.org/10.1016/j.camwa.2020.03.004. Online first. [preprint]
. The cardiac pacemaker story — Fundamental role of the Na${}^{+}$/Ca${}^{2+}$ exchanger in spontaneous automaticiy. Front. Pharmacol., 11:516, April 2020. URL https://doi.org/10.3389/fphar.2020.00516.
. Threshold for blowup for the supercritical cubic wave equation. Nonlinearity, 33(5):2143–2158, March 2020. URL https://doi.org/10.1088/1361-6544/ab6f4d. [preprint]
. Biharmonic wave maps: local wellposedness in high regularity. Nonlinearity, 33(5):2270–2305, March 2020. URL https://doi.org/10.1088/1361-6544/ab73ce. [preprint]
. Boundary stabilization of quasilinear Maxwell equations. J. Differential Equations, 268(2):784–812, January 2020. URL https://doi.org/10.1016/j.jde.2019.08.032. [preprint]
. Bifurcations of nontrivial solutions of a cubic Helmholtz system. Adv. Nonlinear Anal., 9(1):1026–1045, January 2020. URL https://doi.org/10.1515/anona-2020-0040. [preprint]
. Randomized exponential integrators for modulated nonlinear Schrödinger equations. IMA J. Numer. Anal., 1–20, January 2020. URL https://doi.org/10.1093/imanum/drz050. Online first. [preprint]
. Novel Na${}^{+}$/Ca${}^{2+}$ exchanger inhibitor ORM-10962 supports coupled function of funny-current and Na${}^{+}$/Ca${}^{2+}$ exchanger in pacemaking of rabbit sinus node tissue. Front. Pharmacol., 10:1632, January 2020. URL https://doi.org/10.3389/fphar.2019.01632.
. Time integration of symmetric and anti-symmetric low-rank matrices and Tucker tensors. BIT, 1–24, January 2020. URL https://doi.org/10.1007/s10543-019-00799-8. Online first. [preprint]
. Superconducting-nanowire single-photon spectrometer exploiting cascaded photonic crystal cavities. Phys. Rev. Applied, 13(1):014061, January 2020. URL https://doi.org/10.1103/PhysRevApplied.13.014061. [preprint]
. A conjugate-gradient-type rational Krylov subspace method for ill-posed problems. Inverse Problems, 36(1):015008, 2020. URL https://doi.org/10.1088/1361-6420/ab5819. [preprint]
2019
. Compactness of molecular reaction paths in quantum mechanics. Arch. Rational Mech. Anal., 1–72, December 2019. URL https://doi.org/10.1007/s00205-019-01475-5. Online first. [preprint]
. Inverse problems for abstract evolution equations II: Higher order differentiability for viscoelasticity. SIAM J. Appl. Math., 79(6):2639–2662, December 2019. URL https://doi.org/10.1137/19M1269403. Online first. [preprint]
. The global Cauchy problem for the NLS with higher order anisotropic dispersion. Glasgow Math. J., 1–9, December 2019. URL https://doi.org/10.1017/S0017089519000491. Online first. [preprint]
. A model for the periodic water wave problem and its long wave amplitude equations. In D. Henry, K. Kalimeris, E. I. Părău, J.-M. Vanden-Broeck, and E. Wahlén, editors, Nonlinear Water Waves. Tutorials, Schools, and Workshops in the Mathematical Sciences, pages 123–138. Birkhäuser, Cham, November 2019. Online first. [preprint]
. Multiple solutions to a nonlinear curl–curl problem in $\mathbb{R}^3$. Arch. Rational Mech. Anal., 1–36, November 2019. URL https://doi.org/10.1007/s00205-019-01469-3. [preprint]
. On a Kelvin–Voigt viscoelastic wave equation with strong delay. SIAM J. Math. Anal., 51(6):4382–4412, November 2019. URL https://doi.org/10.1137/18M1219308. [preprint]
. A conformally invariant derivation of average electromagnetic helicity. Symmetry, 11(11):1427, November 2019. URL https://doi.org/10.3390/sym11111427.
. Exponential convergence in $H^1$ of $hp$-FEM for Gevrey regularity with isotropic singularities uncertainty quantification. Numer. Math., 1–24, November 2019. URL https://doi.org/10.1007/s00211-019-01085-z. Online first. [preprint]
. Adiabatic exponential midpoint rule for the dispersion-managed nonlinear Schrödinger equation. IMA J. Numer. Anal., 39(4):1818–1859, October 2019. URL https://doi.org/10.1093/imanum/dry045. [preprint]
. Exponential decay of quasilinear Maxwell equations with interior conductivity. NoDEA Nonlinear Differential Equations Appl., 26(6):Paper No. 51, October 2019. URL https://doi.org/10.1007/s00030-019-0595-1. Online first. [preprint]
. Heterogeneous multiscale method for Maxwell's equations. Multiscale Model. Simul., 17(4):1147–1171, October 2019. URL https://doi.org/10.1137/18M1234072. [preprint]
. A space-time discontinuousa Petrov–Galerkin method for acoustic waves. In U. Langer and O. Steinbach, editors, Space-Time Methods: Applications to Partial Differential Equations, volume 25 of Radon Series on Computational and Applied Mathematics, chapter 3, pages 89–116. De Gruyter, Berlin/Boston, September 2019. [preprint]
. Parallel adaptive discontinuous Galerkin discretizations in space and time for linear elastic and acoustic waves. In U. Langer and O. Steinbach, editors, Space-Time Methods: Applications to Partial Differential Equations, volume 25 of Radon Series on Computational and Applied Mathematics, chapter 2, pages 61–88. De Gruyter, Berlin/Boston, September 2019. [preprint]
. Effective slow dynamics models for a class of dispersive systems. J. Dyn. Diff. Equat., 1–33, September 2019. URL https://doi.org/10.1007/s10884-019-09791-w. Online first. [preprint]
. Bandwidth and conversion efficiency analysis of dissipative Kerr soliton frequency combs based on bifurcation theory. Phys. Rev. A, 100(3):033819, September 2019. URL https://doi.org/10.1103/PhysRevA.100.033819. [preprint]
. Nonlinear Schrödinger equation, differentiation by parts and modulation spaces. J. Evol. Equ., 19(3):803–843, September 2019. URL https://doi.org/10.1007/s00028-019-00501-z. [preprint]
. Long-time behavior of quasilinear thermoelastic Kirchhoff–Love plates with second sound. Nonlinear Anal., 186:219–258, September 2019. URL https://doi.org/10.1016/j.na.2019.02.019. [preprint]
. Knocking out teeth in one-dimensional periodic nonlinear Schrödinger equation. SIAM J. Math. Anal., 51(5):3714–3749, September 2019. URL https://doi.org/10.1137/19M1249679. [preprint]
. Splitting methods for nonlinear Dirac equations with Thirring type interaction in the nonrelativistic limit regime. J. Computat. Appl. Math., 112494, September 2019. URL https://doi.org/10.1016/j.cam.2019.112494. Online first, in press. [preprint]
. Uncountably many solutions for nonlinear Helmholtz and curl-curl equations. Adv. Nonlinear Stud., 19(3):569–593, August 2019. URL https://doi.org/10.1515/ans-2019-2050. [preprint]
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. Biharmonic wave maps into spheres. Proc. Amer. Math. Soc., 148(2):787–796, August 2019. URL https://doi.org/10.1090/proc/14744. [preprint]
. Martingale solutions for the stochastic nonlinear Schrödinger equation in the energy space. Probab. Theory Related Fields, 174(3-4):1273–1338, August 2019. URL https://doi.org/10.1007/s00440-018-0882-5. [preprint]
. NLS in the modulation space $M_{2,q}(\mathbb{R})$. J. Fourier Anal. Appl., 25(4):1447–1486, August 2019. URL https://doi.org/10.1007/s00041-018-09655-9. [preprint]
. Hypocalcemia-induced slowing of human sinus node pacemaking. Biophys. J., July 2019. URL https://doi.org/10.1016/j.bpj.2019.07.037. Online first, in press.
. Solving inverse electromagnetic scattering problems via domain derivatives. Inverse Problems, 35(8):084005, 20, July 2019. URL https://doi.org/10.1088/1361-6420/ab10cb. [preprint]
. Global well-posedness and exponential stability for heterogeneous anisotropic Maxwell's equations under a nonlinear boundary feedback with delay. J. Math. Anal. Appl., 475(1):278–312, July 2019. URL https://doi.org/10.1016/j.jmaa.2019.02.042. [preprint]
. Space-time discontinuous Petrov–Galerkin methods for linear wave equations in heterogeneous media. Comput. Methods Appl. Math., 19(3):465–481, July 2019. URL https://doi.org/10.1515/cmam-2018-0190. [preprint]
. Runge–Kutta convolution coercivity and its use for time-dependent boundary integral equations. IMA J. Numer. Anal., 39(3):1134–1157, July 2019. URL https://doi.org/10.1093/imanum/dry033. [preprint]
. Unified error analysis for nonconforming space discretizations of wave-type equations. IMA J. Numer. Anal., 39(3):1206–1245, July 2019. URL https://doi.org/10.1093/imanum/dry036. [preprint]
. Global secondary bifurcation, symmetry breaking and period-doubling. Topol. Methods Nonlinear Anal., 53(2):779–800, June 2019. URL https://doi.org/10.12775/TMNA.2019.025. [preprint]
. The limiting absorption principle for periodic differential operators and applications to nonlinear Helmholtz equations. Comm. Math. Phys., 368(2):799–842, June 2019. URL https://doi.org/10.1007/s00220-019-03363-1. [preprint]
. On a fourth-order nonlinear Helmholtz equation. J. Lond. Math. Soc. (2), 99(3):831–852, June 2019. URL https://doi.org/10.1112/jlms.12196. [preprint]
. Photonic-integrated circuits with non-planar topologies realized by 3D-printed waveguide overpasses. Opt. Express, 27(12):17402–17425, June 2019. URL https://doi.org/10.1364/OE.27.017402.
. Discrete gradient flows for general curvature energies. SIAM J. Sci. Comput., 41(3):A2012–A2036, June 2019. URL https://doi.org/10.1137/18M122844X. [preprint]
. Modulation type spaces for generators of polynomially bounded groups and Schrödinger equations. Semigroup Forum, 98(3):645–668, June 2019. URL https://doi.org/10.1007/s00233-019-10016-1. [preprint]
. Weak martingale solutions for the stochastic nonlinear Schrödinger equation driven by pure jump noise. Stoch. PDE: Anal. Comp., 1–53, May 2019. URL https://doi.org/10.1007/s40072-019-00141-x. [preprint]
. Error analysis of an energy preserving ADI splitting scheme for the Maxwell equations. SIAM J. Numer. Anal., 57(3):1036–1057, May 2019. URL https://doi.org/10.1137/18M1203377. [preprint]
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. Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell's equations. Math. Comp., 88(317):1121–1153, May 2019. URL https://doi.org/10.1090/mcom/3365. [preprint]
. Local wellposedness of nonlinear Maxwell equations with perfectly conducting boundary conditions. J. Differential Equations, 266(8):5012–5063, April 2019. URL https://doi.org/10.1016/j.jde.2018.10.019. [preprint]
. Real-valued, time-periodic localized weak solutions for a semilinear wave equation with periodic potentials. Nonlinearity, 32(4):1408–1439, March 2019. URL https://doi.org/10.1088/1361-6544/aaf59d. [preprint]
. Trigonometric integrators for quasilinear wave equations. Math. Comp., 88(316):717–749, March 2019. URL https://doi.org/10.1090/mcom/3339. [preprint]
. Analytical and numerical analysis of linear and nonlinear properties of an rf-SQUID based metasurface. Phys. Rev. B, 99(7):075401, February 2019. URL https://doi.org/10.1103/PhysRevB.99.075401. [preprint]
. Parallel inelastic heterogeneous multi-scale simulations. In S. Diebels and S. Rjasanow, editors, Multi-scale simulation of composite materials — Results from the project MuSiKo, pages 57–96. Springer, Berlin, February 2019.
. Uniformly accurate oscillatory integrators for the Klein–Gordon–Zakharov system from low- to high-plasma frequency regimes. SIAM J. Numer. Anal., 57(1):429–457, February 2019. URL https://doi.org/10.1137/18M1177184. [preprint]
. Comparison of acoustic and elastic full-waveform inversion of 2D towed-streamer data in the presence of salt. Geophys. Prospect., 67(2):349–361, February 2019. URL https://doi.org/10.1111/1365-2478.12728.
. Quasilinear parabolic stochastic evolution equations via maximal $L^p$-regularity. Potential Anal., 50(2):279–326, February 2019. URL https://doi.org/10.1007/s11118-018-9683-9. [preprint]
. Note on semiclassical states for the Schrödinger equation with nonautonomous nonlinearities. Appl. Math. Lett., 88:149–155, February 2019. URL https://doi.org/10.1016/j.aml.2018.08.021.
. Exact multipolar decompositions with applications in nanophotonics. Adv. Opt. Mater., 7(1):1800783, January 2019. URL https://doi.org/10.1002/adom.201800783.
. Retrieving effective material parameters of metamaterials characterized by nonlocal constitutive relations. Phys. Rev. B, 99(3):035442, January 2019. URL https://doi.org/10.1103/PhysRevB.99.035442.
. An IMEX-RK scheme for capturing similarity solutions in the multidimensional Burgers's equation. IMA J. Numer. Anal., 39(1):342–373, January 2019. URL https://doi.org/10.1093/imanum/drx064. [preprint]
. Patient-specific identification of atrial flutter vulnerability—A computational approach to reveal latent reentry pathways. Front. Physiol., 9:1910, January 2019. URL https://doi.org/10.3389/fphys.2018.01910.
. Individual and joint 2D elastic full-waveform inversion of Rayleigh and Love waves. Geophys. J. Int., 216(1):350–364, January 2019. URL https://doi.org/10.1093/gji/ggy432.
. On the efficiency of the Peaceman–Rachford ADI-dG method for wave-type problems. In F. A. Radu, K. Kumar, I. Berre, J. M. Nordbotten, and I. S. Pop, editors, Numerical Mathematics and Advanced Applications ENUMATH 2017, volume 126 of Lecture Notes in Computational Science and Engineering, pages 135–144, January 2019. Springer International Publishing.
. Rayleigh–Ritz approximation of the inf-sup constant for the divergence. Math. Comp., 88(315):73–89, January 2019. URL https://doi.org/10.1090/mcom/3327. [preprint]
2018
. Estimating S-wave velocities from 3D 9-component shallow seismic data using local Rayleigh-wave dispersion curves – A field study. J. Appl. Geophys., 159:532–539, December 2018. URL https://doi.org/10.1016/j.jappgeo.2018.09.037.
. Polynomial stability for a system of coupled strings. Bull. Lond. Math. Soc., 50(6):1117–1136, December 2018. URL https://doi.org/10.1112/blms.12212. [preprint]
. Operator estimates for the crushed ice problem. Asymptot. Anal., 110(3-4):137–161, November 2018. URL https://doi.org/10.3233/asy-181480. [preprint]
. Microlocal analysis of imaging operators for effective common offset seismic reconstruction. Inverse Problems, 34(11):114001, 24, November 2018. URL https://doi.org/10.1088/1361-6420/aadc2a. [preprint]
. Influence of left atrial size on P-wave morphology: differential effects of dilation and hypertrophy. EP Europace, 20(suppl_3):iii36–iii44, November 2018. URL https://doi.org/10.1093/europace/euy231.
. Entropy decay for the Kac evolution. Comm. Math. Phys., 363(3):847–875, November 2018. URL https://doi.org/10.1007/s00220-018-3263-0. [preprint]
. Error analysis of an ADI splitting scheme for the inhomogeneous Maxwell equations. Discrete Contin. Dyn. Syst., 38(11):5685–5709, November 2018. URL https://doi.org/10.3934/dcds.2018248. [preprint]
. Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities. J. Differential Equations, 265(8):3311–3338, October 2018. URL https://doi.org/10.1016/j.jde.2017.08.028. [preprint]
. Automatic identification of reentry mechanisms and critical sites during atrial tachycardia by analyzing areas of activity. IEEE Trans. Biomed. Eng., 65(10):2334–2344, October 2018. URL https://doi.org/10.1109/TBME.2018.2794321.
. Strong solutions to a nonlinear stochastic Maxwell equation with a retarded material law. J. Evol. Equ., 18(3):1427–1469, September 2018. URL https://doi.org/10.1007/s00028-018-0448-0. [preprint]
. Surface plasmon polaritons sustained at the interface of a nonlocal metamaterial. Phys. Rev. B, 98(11):115409, September 2018. URL https://doi.org/10.1103/PhysRevB.98.115409.
. A computational framework to benchmark basket catheter guided ablation in atrial fibrillation. Front. Physiol., 9:1251, September 2018. URL https://doi.org/10.3389/fphys.2018.01251.
. The nonlinear stochastic Schrödinger equation via stochastic Strichartz estimates. J. Evol. Equ., 18(3):1085–1114, September 2018. URL https://doi.org/10.1007/s00028-018-0433-7. [preprint]
. Hybrid integration of silicon photonics circuits and InP lasers by photonic wire bonding. Optica, 5(7):876–883, July 2018. URL https://doi.org/10.1364/optica.5.000876.
. A radiation condition arising from the limiting absorption principle for a closed full- or half-waveguide problem. Math. Methods Appl. Sci., 41(10):3955–3975, July 2018. URL https://doi.org/10.1002/mma.4879. [preprint]
. Novel electrocardiographic criteria for real-time assessment of anterior mitral line block: “V1 Jump” and “V1 Delay”. JACC Clin. Electrophysiol., 4(7):920–932, July 2018. URL https://doi.org/10.1016/j.jacep.2018.03.007.
. Low regularity exponential-type integrators for semilinear Schrödinger equations. Found. Comput. Math., 18(3):731–755, June 2018. URL https://doi.org/10.1007/s10208-017-9352-1. [preprint]
. A splitting approach for freezing waves. In C. Klingenberg and M. Westdickenberg, editors, Theory, numerics and applications of hyperbolic problems. I, volume 236 of Springer Proc. Math. Stat., pages 539–550. Springer, Cham, June 2018. [preprint]
. Computation and stability of traveling waves in second order evolution equations. SIAM J. Numer. Anal., 56(3):1786–1817, June 2018. URL https://doi.org/10.1137/16M108286X. [preprint]
. Spectral multiplier theorems via $H^\infty$ calculus and $R$-bounds. Math. Z., 289(1-2):405–444, June 2018. URL https://doi.org/10.1007/s00209-017-1957-1.
. Fast and reliable method to estimate losses of single-mode waveguides with an arbitrary 2D trajectory. J. Opt. Soc. Am. A, 35(6):1063–1073, June 2018. URL https://doi.org/10.1364/JOSAA.35.001063.
. Uniformly accurate exponential-type integrators for Klein–Gordon equations with asymptotic convergence to the classical NLS splitting. Math. Comp., 87(311):1227–1254, May 2018. URL https://doi.org/10.1090/mcom/3263. [preprint]
. Superconducting nanowire single-photon detector implemented in a 2D photonic crystal cavity. Optica, 5(5):658–665, May 2018. URL https://doi.org/10.1364/OPTICA.5.000658.
. The limiting absorption principle and a radiation condition for the scattering by a periodic layer. SIAM J. Math. Anal., 50(3):2536–2565, May 2018. URL https://doi.org/10.1137/17M1118920. [preprint]
. Convergence analysis of energy conserving explicit local time-stepping methods for the wave equation. SIAM J. Numer. Anal., 56(2):994–1021, April 2018. URL https://doi.org/10.1137/17M1121925. [preprint]
. In situ 3D nanoprinting of free-form coupling elements for hybrid photonic integration. Nat. Photonics, 12(4):241–247, April 2018. URL https://doi.org/10.1038/s41566-018-0133-4.
. Adiabatic midpoint rule for the dispersion-managed nonlinear Schrödinger equation. Numer. Math., 138(4):975–1009, April 2018. URL https://doi.org/10.1007/s00211-017-0926-2. [preprint]
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. Dual variational methods for a nonlinear Helmholtz system. NoDEA Nonlinear Differential Equations Appl., 25(2):Art. 13, 26, March 2018. URL https://doi.org/10.1007/s00030-018-0504-z. [preprint]
. Blow-up for nonlinear Maxwell equations. Electron. J. Differential Equations, Paper No. 73, 9, March 2018. URL https://ejde.math.txstate.edu/Volumes/2018/73/abstr.html. [preprint]
. Error analysis of implicit Runge–Kutta methods for quasilinear hyperbolic evolution equations. Numer. Math., 138(3):557–579, March 2018. URL https://doi.org/10.1007/s00211-017-0914-6. [preprint]
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. Ultrafast optical ranging using microresonator soliton frequency combs. Science, 359(6378):887–891, February 2018. URL https://doi.org/10.1126/science.aao3924.
. Beyond local effective material properties for metamaterials. Phys. Rev. B, 97(7):075439, February 2018. URL https://doi.org/10.7153/oam-2019-13-21. [preprint]
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2017
. Analysis in Banach spaces. Vol. II, volume 67 of Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics]. Springer, Cham, December 2017. Probabilistic methods and operator theory.
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. Strong smoothing for the non-cutoff homogeneous Boltzmann equation for Maxwellian molecules with Debye–Yukawa type interaction. Kinet. Relat. Models, 10(4):901–924, December 2017. URL https://doi.org/10.3934/krm.2017036. [preprint]
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. New criteria for the $H^\infty$-calculus and the Stokes operator on bounded Lipschitz domains. J. Evol. Equ., 17(1):387–409, March 2017. URL https://doi.org/10.1007/s00028-016-0360-4. [preprint]
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. A simple proof of convergence to the Hartree dynamics in Sobolev trace norms. J. Math. Phys., 57(12):122108, 8, December 2016. URL https://doi.org/10.1063/1.4968820. [preprint]
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. 34.6 Tbit/s WDM transmission using soliton Kerr frequency combs as optical source and local oscillator. In European Conference on Optical Communication (ECOC), pages 415–417, December 2016.
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. Inverse problems for abstract evolution equations with applications in electrodynamics and elasticity. Inverse Problems, 32(8):085001, 24, June 2016. URL https://doi.org/10.1088/0266-5611/32/8/085001. [preprint]
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2015
. Exact dipolar moments of a localized electric current distribution. Opt. Express, 23(26):33044–33064, 12 2015. URL https://doi.org/10.1364/OE.23.033044. [preprint]
