arXiv subjects

Georgios D. Kolezas

Publications and source records attributed to Georgios D. Kolezas.

5 recordsLinked to original sources

arXiv2026

Modal Analysis of Gyrotropic Waveguides

We report on the modal analysis of open gyrotropic waveguides (GWs). The GWs consist of a non-circular gyrotropic (i.e., gyroelectric and gyromagnetic) core and an infinitely extending isotropic cladding. To solve this problem, we develop two independent full-wave methods. The first technique is an extended integral equation (EIE) method, an extension of a previously developed EIE used to calculate the propagation constants in composite dielectric-isotropic waveguides. The second technique is a Chebyshev expansion method (CEM). In both implementations, the electric and magnetic fields in the gyrotropic core are expanded in superpotential-based cylindrical vector wave functions (SUPER-CVWFs), recently developed for the problem of oblique multiple scattering by gyrotropic cylinders. Both techniques allow us to calculate the propagation constants in the general case, without approximations. Various non-circular gyrotropic waveguides are considered. The EIE and CEM results are validated against a commercial finite element solver, and the accuracy and computational performance of both methods are benchmarked. A microwave application is presented where the complex propagation constants of ferrite rods are computed in the presence of an external magnetic flux density bias. Our work advances the theory of propagation in open waveguides, from dielectric/isotropic to gyrotropic ones, and enables the design of contemporary waveguiding structures.

physics.optics↗

arXiv2025

Oblique Multiple Scattering by Gyrotropic Cylinders

In this work, we develop a full-wave vectorial solution for the 2.5-dimensional (2.5-D), i.e., at oblique plane wave incidence, electromagnetic (EM) multiple scattering (MS) by a collection of gyrotropic cylinders. All cylinders are infinitely long and share a common $z$-axis. However, each cylinder can have a different cross-section with an arbitrary shape and different gyrotropic material properties, i.e., both gyroelectric and gyromagnetic anisotropies are considered. The solution to the problem combines the following three elements: (i) development of a superpotentials-based cylindrical vector wave function (CVWF) expansion to express the EM field in the gyrotropic region; (ii) utilization of the extended boundary condition method (EBCM) to account for non-circular cylinders; (iii) use of Graf's formulas, specifically adapted for the CVWFs, to apply the EBCM at each cylinder. The developed theory allows us to calculate various scattering characteristics, including the scattering and extinction cross-sections and the multipole decomposition, enabling the design and in-depth investigation of various contemporary engineering and physics applications. The method is exhaustively validated with analytical techniques and COMSOL Multiphysics. The computational performance is also discussed. Finally, we study a potential microwave application of the MS by ferrite configurations, and demonstrate broadband forward scattering by introducing oblique incidence and anisotropy. Our method may be used to analyze, design, and optimize contemporary microwave, optical, and photonic applications by beneficially tailoring the scattering properties via oblique incidence and anisotropy.

physics.optics↗

arXiv2024

Convergence, divergence, and inherent oscillations in MFS solutions of two-dimensional Laplace-Neumann problems

The method of fundamental solutions (MFS), also known as the method of auxiliary sources (MAS), is a well-known computational method for the solution of boundary-value problems. The final solution ("MAS solution") is obtained once we have found the amplitudes of $N$ auxiliary "MAS sources." Past studies have demonstrated that it is possible for the MAS solution to converge to the true solution even when the $N$ auxiliary sources diverge and oscillate. The present paper extends the past studies by demonstrating this possibility within the context of Laplace's equation with Neumann boundary conditions. One can thus obtain the correct solution from sources that, when $N$ is large, must be considered unphysical. We carefully explain the underlying reasons for the unphysical results, distinguish from other difficulties that might concurrently arise, and point to significant differences with time-dependent problems that were studied in the past.

math.NA↗

arXiv2020

Three-Dimensional Invisibility to Superscattering Induced by Zeeman-Split Modes

We report that the fundamental three-dimensional (3-D) scattering single-channel limit can be overcome in magneto-optical assisted systems by inducing nondegenerate magnetoplasmonic modes. In addition, we propose a 3-D active (magnetically assisted) forward-superscattering to invisibility switch, functioning at the same operational wavelength. Our structure is composed of a high-index dielectric core coated by indium antimonide (InSb), a semiconductor whose permittivity tensorial elements may be actively manipulated by an external magnetic bias $B_0$. In the absence of $B_0$, InSb exhibits isotropic epsilon-near-zero (ENZ) and plasmonic behavior above and below its plasma frequency, respectively, a frequency band which can be utilized for attaining invisibility using cloaks with permittivity less than that of free space. With realistic $B_0$ magnitudes as high as 0.17 T, the gyroelectric properties of InSb enable the lift of mode degeneracy, and the induction of a Zeeman-split type dipolar magnetoplasmonic mode that beats the fundamental single-channel limit. This all-in-one design allows for the implementation of functional and highly tunable optical devices.

physics.optics↗

arXiv2020

Monitoring strong coupling in nonlocal plasmonics with electron spectroscopies

Plasmon-exciton polaritons provide exciting possibilities to control light-matter interactions at the nanoscale by enabling closer investigation of quantum optical effects and facilitating novel technologies based, for instance, on Bose-Einstein condensation and polaritonic lasing. Nevertheless, observing and visualising polaritons is challenging, and traditional optical microscopy techniques often lead to ambiguities regarding the emergence and strength of the plasmon-exciton coupling. Electron microscopy offers a more robust means to study and verify the nature of plexcitons, but is still hindered by instrument limitations and resolution. A simple theoretical description of electron beam-excited plexcitons is therefore vital to complement ongoing experimental efforts. Here we apply analytic solutions for the electron-loss and photon-emission probabilities to evaluate plasmon-exciton coupling studied either with the recently adopted technique of electron energy-loss spectroscopy, or with the so-far unexplored in this context cathodoluminescence spectroscopy. Foreseeing the necessity to account for quantum corrections in the plasmonic response, we extend these solutions within the framework of general nonlocal hydrodynamic descriptions. As a specific example we study core-shell spherical emitter-molecule hybrids, going beyond the standard local-response approximation through the hydrodynamic Drude model for screening and the generalised nonlocal optical response theory for nonlocal damping. We show that electron microscopies are extremely powerful in describing the interaction of emitters with the otherwise weakly excited by optical means higher-order plasmonic multipoles, a response that survives when quantum-informed models are considered.

cond-mat.mes-hall↗