Paper Title
Electrodynamics 2D Boundary Problems Solution for Application of Nano-Bio-Particles Characterization

Solutions of electrodynamics two dimensional (2D) boundary problems are applied to study the electromagnetic (EM) field and single nanoscale particles interaction in purpose of characterization near and far EM field distribution. Physical models are elaborated for investigation of optical properties of bio-particles of different morphology. Particles of cylindrical shape are used for modeling rod-like, prolatevirions (e.g. bacteriophage M13, Tobacco Mosaic VirusTMV), extracellular infective forms of viruses. Method of estimation of spectral response on EM field & particles interaction, as well as of resonance wave-length ranges are considered. Theoretical decision of problem is based on rigorous solutions of Maxwell’s, Helmholtz’s and Bessel’s equations. Analytical expressions of EM fields are defined through the relative parameters, diameters over excitation wavelength. It makes possible to apply the classical well-known approach to sub-micro particles characterization. Computer simulation (based on MatLabR2013b software) shows that resonant spectral response is observable on far-field characteristics: scattering cross sections and radiation patterns(RP). Near-field distributions are presented in a form of isolines of EM field amplitudes, indicating the locations of energy maximums inside and outside of particles. Analysis revealed the strong dependence of field characteristics on electrical and geometrical parameters in resonance wave range, possibility for consideration the simulated spectra as the specific signatures of bio-particles of a given parameters. Proposed methodology of estimation EM field characteristics is essential for aerosol and nano-bio-particles spectroscopic studies, bio-particles detection and identification systems. Keywords - Nanoscale Bio-particles, Simulation, Spectra, Electromagnetic Field.