Publications by Krzysztof Michalski

On the Complete Radiation Pattern of a Vertical Hertzian Dipole Above a Low-Loss Ground

The complete radiation field pattern of a vertical Hertzian dipole antenna on or above a lossless or low-loss dielectric half-space is studied using a rigorous Sommerfeld formalism. The reflected fields in the air above the interface and the subsurface fie ...

Ieee-Inst Electrical Electronics Engineers Inc2021

Sommerfeld Integrals and Their Relation to the Development of Planar Microwave Devices

Krzysztof Michalski, Juan Ramon Mosig

This paper deals with the mathematical expressions called Sommerfeld integrals. Introduced by A. Sommerfeld in 1909, they are mathematically equivalent to inverse Hankel transforms. The original historical goal of these integrals was to provide an accurate ...

Ieee-Inst Electrical Electronics Engineers Inc2021

The Sommerfeld half-space problem revisited: from radio frequencies and Zenneck waves to visible light and Fano modes

Juan Ramon Mosig, Krzysztof Michalski

The classical Sommerfeld half-space problem is revisited, with generalizations to multilayer and plasmonic media and focus on the surface field computation. A new ab initio solution is presented for an arbitrarily oriented Hertzian dipole radiating in the ...

Taylor & Francis Ltd2016

Efficient computation of Sommerfeld integral tails - methods and algorithms

Juan Ramon Mosig, Krzysztof Michalski

A review is presented of the most effective methods for the computation of Sommerfeld integral tails. Such integrals, which are often oscillatory, singular and divergent, commonly arise in layered media Green functions. The mathematical foundations of vari ...

Taylor & Francis Ltd2016

The Sommerfeld Halfspace Problem Redux: Alternative Field Representations, Role of Zenneck and Surface Plasmon Waves

Juan Ramon Mosig, Krzysztof Michalski

The problem of a vertical Hertzian dipole radiating in the presence of a lossy conducting halfspace, first formally solved by Sommerfeld in 1909, is revisited. Using rigorous operator theory concepts and the characteristic Green function procedure, alterna ...

Ieee-Inst Electrical Electronics Engineers Inc2015

On the Surface Fields Excited by a Hertzian Dipole Over a Layered Halfspace: From Radio to Optical Wavelengths

Juan Ramon Mosig, Krzysztof Michalski

The Sommerfeld halfspace problem is revisited allowing for multilayer and plasmonic media, with a focus on the surface field computation. Alternative field representations are discussed and an improved Sommerfeld-Norton groundwave formula is developed. The ...

Ieee-Inst Electrical Electronics Engineers Inc2015

The Sommerfeld Halfspace Problem Redux: Alternative Field Representations, Role of Zenneck and Surface Plasmon Waves

Juan Ramon Mosig, Krzysztof Michalski

2015

Analysis of a Plane Wave-Excited Subwavelength Circular Aperture in a Planar Conducting Screen Illuminating a Multilayer Uniaxial Sample

Juan Ramon Mosig, Krzysztof Michalski

A spectral domain analysis is presented of a plane wave-excited subwavelength circular aperture in a planar perfectly conducting screen in close proximity to a multilayer stack, which may comprise uniaxially anisotropic slices. The formulation employs the ...

Institute of Electrical and Electronics Engineers2015

Enhancing the robustness of the discrete complex image method for planar multilayered media

Juan Ramon Mosig, Krzysztof Michalski

2007