V.I. Okhmatovski

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• PhD
• Professor (Full) at University of Manitoba

Presents reviews for the following list of books, Theory and Computation of Electromagnetic Fields in Layered Media.

The paper proposes a new approach to the fast solution of matrix equations resulting from boundary element discretization of integral equations. By hybridizing fast iterative $\mathcal {H}$ -matrix solvers with a fast direct $\mathcal {H}$ -matrix preconditioner factorization, we create a framework that can be tuned between the extremes of a direct...

An H-matrix accelerated direct solver employing the high-order Chebyshev-based Boundary Integral Equation (CBIE) method has been formulated, tested, and profiled for performance on high contrast dielectric materials and electrically large perfect electric conductor objects. The matrix fill performance of the CBIE proves to be fast for small to mode...

The 2D problem of finding the electric field for a line-source illuminating a lossless Veselago lens is cast as an integro-differential equation. The integral corresponds to a surface integral of the total tangential magnetic field on the boundaries of the lens. The integro-differential equation is obtained using an incident/scattered-field decompo...

This study explores the potential of implementing the focusing properties of a virtual ideal Veselago lens within a standard free-space microwave imaging scenario. To achieve this, the virtual lens is introduced as an inhomogeneous numerical background for the inverse source problem. This numerical Vesealgo lens is incorporated into the incident an...

Provides society information that may include news, reviews or technical notes that should be of interest to practitioners and researchers.

An H-matrix accelerated direct solver employing the high-order Chebyshev-based Boundary Integral Equation (CBIE) method has been formulated, tested, and profiled for performance on high contrast dielectric materials and electrically large perfect electric conductor objects. The matrix fill performance of the CBIE proves to be fast for small to mode...

In this paper we demonstrate full-wave electromagnetic analysis of the IBM Plasma electronic package nets embedded into the multilayered substrate of finite extent within the framework of a layered medium integral equation formulation. Truncation of the substrate is obtained through inclusion of the finite dielectric regions of air into the otherwi...

Abstract— Over the years, studying arctic sea ice and detecting pollution in the arctic area has been of great importance. In the past decade, many tools have been utilized to detect oil pollution such as remote sensing. In this work, an integral equation electromagnetic solver is demonstrating an analysis of oil-polluted sea ice scattering using S...

The has been a growing interest in studying the composition of the Arctic Sea ice over the past decade. The interest has been motivated by the growing oil industry in the Arctic, climate change, and global warming. Over years, numerous approaches were used to solve the scattering problem [1-2]. In [3], the Surface-Volume Surface Electric Field Inte...

A novel, robust, and computationally efficient approach is proposed for the evaluation of the Michalski–Zheng’s mixed-potential Green’s functions of general shielded layered media. A high-order variant of the spectral differential equation approximation method (SDEAM) is used to cast the spectra of Green’s functions’ components into pole-residue fo...

A novel magnetic current based Surface-Volume-Surface Electric Field Integral Equation (SVS-EFIE-M) is presented for the problem of scattering on homogeneous non-magnetic dielectric objects. The exact Galerkin Method of Moments (MoM) utilizing both the rotational and irrotational vector spherical harmonics as orthogonal basis and test functions acc...

Quantitative microwave imaging employing an ideal Veselago lens is demonstrated using synthetic 2D experiments. Reconstructions of the complex-valued dielectric constant of an arbitrary object-of-interest are obtained from noiseless data using a non-iterative technique. A closed-form Veselago lens Green’s function is utilized in the formulation of...

Quantum computation offers a promising alternative to classical computing methods in many areas of numerical science. Algorithms that make use of the unique way in which quantum computers store and operate on data often feature dramatic improvements in performance over their classical counterparts. In this work, we study problems involving the solu...

This paper introduces SuperVoxHenry, an inductance extraction simulator for analyzing voxelized superconducting structures. SuperVoxHenry extends the capabilities of the inductance extractor VoxHenry for analyzing the superconducting structures by incorporating the following enhancements. (i) SuperVoxHenry utilizes a two-fluid model to account for...

A numerically robust and computationally efficient approach for evaluating a planar layered substrate’s static Green’s function is developed based on the adaptive form of the Spectral Differential Equation Approximation Method. The method uses a pth order finite element method solution of the one-dimensional ordinary differential equation governing...

The exact solution of the surface–volume–surface electric field integral equation (SVS-EFIE) is presented for the problem of radiation in the vicinity of the homogeneous dielectric sphere. The solution is obtained via the Galerkin method of moments (MoM) utilizing rotational and irrotational complete sets of orthogonal vector spherical harmonics as...

This paper introduces SuperVoxHenry, an inductance extraction simulator for analyzing voxelized superconducting structures. SuperVoxHenry extends the capabilities of the inductance extractor VoxHenry for analyzing the superconducting structures by incorporating the following enhancements. 1. SuperVoxHenry utilizes a two-fluid model to account for n...

The contrast source inversion (CSI) algorithm is one of the primary techniques used for solution of non-linear inverse problems in microwave tomography. In this paper, we describe a modification of the CSI method adapted to imaging of the 2-D objects in the presence of the focusing media under TM-polarization. The focusing media is presented in the...

Analytic expressions for the sinusoidal steady-state electromagnetic field associated with an ideal Veselago lens illuminated by either a line-source (2D case) or an electric dipole point-source (3D case) are obtained based on power flow considerations and the imposition of appropriate boundary conditions. The fields are written in terms of the sta...

The matrix form of the reciprocity relationship for the ABCD matrix of a general distributed microwave circuit featuring multiple ports is revisited. The correct reciprocity relationship is used to identify mistakes previously made in the derivation of key relations in the vector-short-open-calibration (VSOC) deembedding methodology, which is commo...

A new formulation of the Surface-Volume-Surface Electric Field Integral Equation (SVS-EFIE) combined with the regular EFIE is introduced for the electromagnetic analysis of the 3-D general composite structures of impenetrable metal and penetrable homogeneous dielectric objects. The proposed method introduces independent surface electric current den...

The Surface-Volume-Surface Electric Field Integral Equation (SVS-EFIE) is generalized for the case of scattering problems on the composite non-magnetic dielectric objects situated in planar non-magnetic layered medium. The piecewise homogeneous regions of the scatterer can be arbitrarily positioned with respect to the layers of stratification. The...

List the guest editors for the guest editorial in this issue of the publication.

Acceleration of the method of moments (MoM) solution of the volume integral equation (VIE) on unstructured meshes is performed using a precorrected tensor train (P-TT) algorithm. The elements of the MoM’s unstructured mesh are projected onto a regular Cartesian grid. This enables representation of the MoM matrix as the Toeplitz matrix of point-to-p...

An efficient fast direct algorithm based on the hierarchical ( $\mathcal{H}$ -) matrices is presented for solution of the radiation and scattering problems on piece-wise homogeneous dielectric objects using Method of Moment (MoM) discretization of the Surface-Volume-Surface Electric Field Integral Equation (SVS-EFIE). The SVS-EFIE for the composit...

The method of moments (MoM) discretization of volume integral equation (VIE) results in dense N x N matrix, N being the number of MoM basis functions. Naïve solution of such a system of linear algebraic equations (SLAE) is expensive when problems become large scale. Recently, tensor decomposition has been introduced for solving the SLAE by folding...

Generalization of the surface-volume-surface electric field integral equation (SVS-EFIE) for the solution of electromagnetic scattering problems on 3-D dielectric objects embedded in multilayered media is proposed. While having only a single unknown surface current density on the boundary of the scatterer, the SVS-EFIE also features only electric f...

In a recent work, a proximity- and skin-effect aware formulation known as the surface-volume-surface electric field integral equation discretized with 2-D method-of-moments (MoM) was optimized to efficiently extract the frequency dependent series impedance matrix of cables with arbitrary shapes. However, it was only applied to sector-shaped and coa...

It is shown that the ill-posedness of the inverse scattering problem can be eliminated through spatial decoupling of the radiated fields produced by distinct regions of the imaging domain. Such spatial decoupling can be achieved by inhomogeneous media which forms separated beams of the radiated field produced by the distinct pixels of contrast sour...

Hierarchical (H-) matrix based fast direct and iterative algorithms are presented for acceleration of the Method of Moment (MoM) solution of the Surface-Volume-Surface Electric Field Integral Equation (SVS-EFIE) formulated for scattering and radiation problems on homogeneous dielectric objects. As the SVS-EFIE features the product of the integral o...

A new single-source integral equation is proposed for solution of electromagnetic wave scattering problems. The traditional volume electric field integral equation is reduced to the new single-source surface integral equation by representing the electric field inside the scatterer as a superposition of spherical waves emanating from its boundary. S...

A new higher order (HO) method of moments is proposed for high accuracy extraction of the resistance and inductance matrices in the multiconductor transmission lines (MTLs) of complex cross sections. The computational framework is based on the numerical solution of a surface-volume-surface electric field integral equation of magnetostatics. In orde...

A new surface single-source integral equation is proposed for the solution of electromagnetic wave scattering problems in two dimensions. The traditional volume electric field integral equation is reduced to the new single-source surface integral equation by representing the electric field inside the scatterer as a superposition of cylindrical wave...

We recently proposed a novel single-source integral equation (SSIE) for accurate broadband resistance and inductance extraction and current flow modeling in 2-D conductors. The new surface integral equation is advantageous compared with the traditional volume electric field integral equation (V-EFIE) used for the inductance extraction, since the un...

Reconstructing material properties of an objects from the information on how it scatters electromagnetic fields requires solution of the inverse problem. The inverse problem is known to be ill-posed and not allowing for a unique solution unless some additional regularizing conditions of non-electromagnetic nature are imposed. While this is indeed t...

Nonuniform rational b-splines (NURBS) are the most widely used technique in today's geometric computer-aided design systems for modeling surfaces. Combining the locally corrected Nyström (LCN) method with NURBS requires formulating LCN on both quadrilateral and triangular Bézier surfaces, as a typical NURBS-generated Bézier mesh includes elements o...

The exact relationship between the Rao-Wilton-Glisson (RWG) method of moments (MoM) and the locally corrected Nyström (LCN) method for the mixed-potential (MP) electric field integral equation (EFIE) is presented as an extension to our work where we established analogous exact relationship for solving the EFIE in its vector-potential (VP) form. It...

The Contrast Source Inversion (CSI) algorithm is numerically implemented and tested for microwave tomography (MWT) of 2-D objects in the presence of the focusing media. The focusing media in the novel implementation of the CSI algorithm is formed by the Veselago Lens. Unlike in the conventional CSI algorithm implemented in non-focusing media, the p...

In this work, we investigate a fast direct solution of a linear system obtained from the Locally Corrected Nystrom Method (LCN) and the Combined Field Integral Equation (CFIE). Since LCN offers a high-order (HO) solution, it allows one to solve up to several digits of precision while greatly reducing the unknown count, thereby making it preferable...

Electrostatic analysis of complex 3-D structures represents an indispensable design optimization tool and essential verification stage in modern electronic design automation of integrated circuit chips and packages. Maxwell capacitance matrix of multi-conductor geometries embedded in inhomogeneous substrates is among the primary quantities that an...

Traditional low order numerical method of computational electromagnetics produce notably higher error when applied to analysis of plasmonic nano-structures compared to the structures with conventional values of permittivity and permeability. The high error levels are typically observed at the junctions of the low-order elements on the surface of su...

A method for estimating the suitability of GPUs for computational algorithms is presented. The method is used to estimate performance for several matrix solutions for planar method of moments simulation.

This paper proposes a novel method for calculation of frequency dependent parameters for any arbitrary shaped cable based on a new integral equations formulation and its Method of Moment solution. The proposed approach accurately considers both skin and proximity effects. The computation of series impedance matrix using this method is described for...