APPLICATION OF SPECTRAL METHODS OF BOUNDARY INTEGRAL EQUATIONS FOR MODELING OF NANOOPTICAL DEVICES

Efficiency of modeling optical nanostructures depends not only on the accuracy description new physical processes which appear in configurations resonantly scattering and absorbing structures, but also selection appropriate algorithms for solving corresponding mathematical problem numerical parameters depending elements. This is why complicated problems complex electrodynamic involves deep learning all groups unknown effects. In this work a semi-analytical algorithm developed based parametrized by conformal mapping techniques spectral method boundary integral equations with analytical regularization singularity subtraction enhanced Fast Fourier transform, that contrary to classical schemes, are finite difference element methods, allows take into account complex-valued functional dependence dielectric permittivity plasmonic materials wavelength (even when its value tabulated) solve static dynamic singularities equations. Due sensibility plasmon resonances changes external medium such used modern medicine, pharmacy as chemical biological sensors. main efforts directed generation investigation singularities.