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Mathematics
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Computational Methods in Electromagnetics
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Computational Methods in Electromagnetics

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Computational and Applied Mathematics".

Deadline for manuscript submissions: 31 January 2025 | Viewed by 2950

Special Issue Editors

Dr. Panagiotis Papakanellos

E-Mail Website
Guest Editor
Department of Aeronautical Studies, Division of Electronics, Electric Power, Telecommunications, Hellenic Air Force Academy, 13671 Athens, Greece
Interests: antennas; avionics; computational electromagnetics; electromagnetic compatibility; stochastic modeling; wave propagation and scattering
Dr. George Veropoulos

E-Mail Website
Guest Editor
1. Hellenic Naval Academy, 18539 Piraeus, Greece
2. Hellenic Navy’s Petty Οfficers’ Academy, 12461 Skaramagkas, Greece
Interests: antennas; computational electromagnetics; electromagnetic compatibility; stochastic modeling; wave propagation; scattering theory; field theory

Special Issue Information

Dear Colleagues,

Computational Methods in Electromagnetics have evolved tremendously during the past few decades, in parallel with the increase in the available computational resources. The multitude of the established numerical techniques for electromagnetic analyses—ranging from methods for the solution of integral and differential equations to advanced frequency/time-domain schemes (e.g., moment methods, finite-difference/element techniques, fast multipole methods) and hybrid techniques—has contributed most to this evolution, and to the expansion of the pertinent practical applications. At present, rigorous and efficient numerical methods have become standard means for the analysis, design, and optimization of high-frequency circuits and devices, transmitting/receiving antennas, as well as transmission lines and waveguides, but also for the characterization and assessment of wireless systems and complex electromagnetic interactions (including EMC/EMI issues). The purpose of this Special Issue is to gather contributions from experts on numerical techniques, with an application spectrum encompassing (but not limited to) wave propagation/scattering in complex environments, stochastic modeling of electromagnetic phenomena, antenna design and optimization for use in the manmade environment, electromagnetic interactions involving real-world devices/objects, as well as bio-electromagnetic effects. Contributions with a main emphasis on analytical/semi-analytical or asymptotic approaches in electromagnetics are also welcome, provided that they exploit computer power or they are connected with computational methods/schemes.

Dr. Panagiotis Papakanellos
Dr. George Veropoulos
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • computational electromagnetics
  • waves
  • scattering/diffraction
  • radiation/propagation
  • numerical methods
  • asymptotic methods
  • stochastic modeling
  • random fields
  • electromagnetic interference/compatibility

Published Papers (2 papers)

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Research

17 pages, 346 KiB  
Article
On the Application of Fractional Derivative Operator Theory to the Electromagnetic Modeling of Frequency Dispersive Media
by Aneesh S. Deogan, Roeland Dilz and Diego Caratelli
Mathematics 2024, 12(7), 932; https://doi.org/10.3390/math12070932 - 22 Mar 2024
Viewed by 497
Abstract
Fractional derivative operators are finding applications in a wide variety of fields with their ability to better model certain phenomena exhibiting spatial and temporal nonlocality. One area in which these operators are applicable is in the field of electromagnetism, thereby modelling transient wave [...] Read more.
Fractional derivative operators are finding applications in a wide variety of fields with their ability to better model certain phenomena exhibiting spatial and temporal nonlocality. One area in which these operators are applicable is in the field of electromagnetism, thereby modelling transient wave propagation in complex media. To apply fractional derivative operators to electromagnetic problems, the operator must adhere to certain principles, like the trigonometric functions invariance property. The Grünwald–Letnikov and Marchaud fractional derivative operators comply with these principles and therefore could be applied. The fractional derivative arises when modelling frequency-dispersive dielectric media. The time-domain convolution integral in the relation between the electric displacement and the polarisation density, containing an empirical extension of the Debye model, is approximated directly. A common approach is to recursively update the convolution integral by approximating the time series by a truncated sum of decaying exponentials, with the coefficients found through means of optimisation or fitting. The finite-difference time-domain schemes using this approach have shown to be more computationally efficient compared to other approaches using auxiliary differential equation methods. Full article
(This article belongs to the Special Issue Computational Methods in Electromagnetics)
23 pages, 12309 KiB  
Article
Flexible Metamaterial-Based Frequency Selective Surface with Square and Circular Split Ring Resonators Combinations for X-Band Applications
by Nagandla Prasad, Pokkunuri Pardhasaradhi, Boddapati Taraka Phani Madhav, Sudipta Das, Wahaj Abbas Awan and Niamat Hussain
Mathematics 2023, 11(4), 800; https://doi.org/10.3390/math11040800 - 4 Feb 2023
Cited by 7 | Viewed by 1859
Abstract
To meet the demand for modern communication technology, the development of satellite communications has been consistently investigated. In this article, a rectangle-type SRR is attached to circular-type SRR for obtaining two frequencies in X-band operation. The designed structure exhibits negative metamaterial properties (Epsilon, [...] Read more.
To meet the demand for modern communication technology, the development of satellite communications has been consistently investigated. In this article, a rectangle-type SRR is attached to circular-type SRR for obtaining two frequencies in X-band operation. The designed structure exhibits negative metamaterial properties (Epsilon, mu and refractive index are negative) and the design was fabricated on a polyimide dielectric material with a 10 × 10 mm2 size. The polyimide dielectric material is chosen with a thickness of 0.1 mm and a dielectric constant of 0.0027. The proposed unit cell is designed and simulated by using one of the numerical simulation tools, CSTMW studio, in which the frequency limit is chosen from 7 to 12 GHz. From the results, we can observe that the proposed design resonates at two X-band frequencies at 9.84 GHz and 11.46 GHz and the measurement results of the proposed design resonate at 9.81 GHz and 11.61 GHz. It is worth noting that the simulation and measurement findings both obtain the same X-band frequencies, with only a minor difference in the frequency values. Thus, the recommended design is very much useful for X-band applications. Full article
(This article belongs to the Special Issue Computational Methods in Electromagnetics)
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