Piotr Kowalczyk - Publications - Bridge of Knowledge

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Year 2024
  • Numerical Method for Stability Testing of Fractional Exponential Delay Systems
    Publication

    - Year 2024

    A numerical method for stability testing of fractional exponential systems including delays is presented in this contribution. We propose the numerical test of stability for a very general class of systems with a transfer function, which includes polynomials and exponentials of fractional powers of the Laplace variable s combined with delay terms. Such a system is unstable if any root of its characteristic equation, which usually...

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  • Numerical Test for Stability Evaluation of Analog Circuits
    Publication

    - Year 2024

    In this contribution, a new numerical test for the stability evaluation of analog circuits is presented. Usually, if an analog circuit is unstable then the roots of its characteristic equation are localized on the right half-plane of the Laplace s- plane. Because this region is unbounded, we employ the bilinear transformation to map it into the unit disc on the complex plane. Hence, the existence of any root inside the unit disc...

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Year 2023
Year 2022
  • Efficient Fabry-Perot Open Resonator Analysis by the use of a Scattering Matrix Method
    Publication

    - Year 2022

    In this paper a comparative study of the computational efficiency of two modeling methods applied to the analysis of the plano- and double-concave Fabry-Perot open resonators is presented. In both numerical approaches, a scattering matrix method was applied, which allows splitting the analysis of the resonator into several sections, including the one with a spherical mirror, which requires the largest computing resources. Two modeling...

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  • Microwave Characterization of Dielectric Sheets in a Plano-Concave Fabry-Perot Open Resonator
    Publication

    - IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES - Year 2022

    Despite its long history, a double-concave (DC) Fabry-Perot open resonator (FPOR) has recently gained popularity in the characterization of dielectrics in the 20–110 GHz range, mainly due to such novel accomplishments as full automation of the measurement process and the development of even ore accurate and computationally efficient electromagnetic model. However, it has been discovered that such a DC resonator suffers from unwanted...

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  • Modal FEM Analysis of Ferrite Resonant Structures
    Publication

    The finite-element method (FEM) is applied for modal analysis of ferrite-loaded spherical resonators. To improve the efficiency of the numerical calculations, the body-of-revolution (BOR) technique is utilized. Due to the frequency-dependent ferrite permeability, FEM leads to a nonlinear eigenvalue problem that is challenging to solve. To this end, Beyn’s method is proposed. The effectiveness of the proposed approach is confirmed...

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  • Multipath Complex Root Tracing

    The problem of multipath root tracing is being addressed in this communication. The self-adaptive complex root tracing algorithm, which was previously utilized for the investigation of various propagation and radiation problems, is analyzed here for the cases when the traced characteristic bifurcates. A procedure of multiroute detection is proposed and demonstrated on the coaxially loaded cylindrical waveguide example.

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Year 2021
Year 2020
Year 2019
Year 2018
Year 2017
Year 2016
Year 2015
  • Complex Root Finding Algorithm Based on Delaunay Triangulation

    A simple and flexible algorithm for finding zeros of a complex function is presented. An arbitrary-shaped search region can be considered and a very wide class of functions can be analyzed, including those containing singular points or even branch cuts. The proposed technique is based on sampling the function at nodes of a regular or a self-adaptive mesh and on the analysis of the function sign changes. As a result, a set of candidate points...

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  • EFEKTYWNA TECHNIKA POSZUKIWANIA MIEJSC ZEROWYCH FUNKCJI ZESPOLONYCH WYSTĘPUJĄCYCH W ZAGADNIENIACH PROPAGACYJNYCH

    Artykuł dotyczy zastosowania nowatorskiego algorytmu poszukiwania miejsc zerowych (na płaszczyźnie zespolonej) do badania własności propagacyjnych prowadnic mikrofalowych. Problemy tego typu występują nie tylko przy analizie struktur stratnych, ale również w badaniu zjawisk związanych z wypromieniowaniem (rodzaje wycie-kające i zespolone). Proponowany algorytm jest prosty w implementacji, a jednocześnie „odporny” na osobliwości...

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  • Podstawy elektromagnetyzmu w zadaniach
    Publication

    Niniejsza książka jest owocem wieloletnich doświadczeń nauczycieli akademickich, Wydziału Elektroniki, Telekomunikacji i Informatyki Politechniki Gdańskiej, kształcących studentów w zakresie techniki mikrofalowej i antenowej oraz telekomunikacji światłowodowej i bezprzewodowej. Przedstawione w niej zagadnienia służą zdefiniowaniu oraz ilustracji podstawowych praw rządzących światem pól: elektrycznego i magnetycznego. Zaproponowany...

  • Pola i fale elektromagnetyczne w zadaniach
    Publication

    Niniejsza książka jest owocem wieloletnich doświadczeń grupy nauczycieli akademickich, Wydziału Elektroniki, Telekomunikacji i Informatyki Politechniki Gdańskiej, kształcących studentów w zakresie techniki mikrofalowej i antenowej oraz telekomunikacji światłowodowej i bezprzewodowej. Praca ta stanowi rozszerzenie i kontynuację podręcznika Podstawy elektromagnetyzmu w zadaniach. Zachowana jest również konwencja prezentacji treści...

  • Resonance Frequency Calculation of Spherical Microstrip Structure Using Hybrid Technique
    Publication

    In this paper the spherical microstrip structure is considered. The structure is composed of a metallic patch with an arbitrary shape placed on a dielectric coated metallic sphere. In the analysis the hybrid technique is utilized. In this approach the finite-difference technique is applied in a cavity model to determine the current basis functions on the patch. Next, using method of moments, the resonance frequency of the structure...

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