The H-polarized plane wave diffraction by the infinite periodic grating with removed strip is considered. In the formulation, the current induced on each strip is divided into two currents, the current on the infinite periodic strip grating and the correction current induced by the removal of a strip. The scattered field is inducted by these currents. The problem is reduced to the dual integral equations with respect to the unknown spectral function of the correction field, and then to the singular integral equation with additional conditions. The singular integral equation of infinite periodic grating is also presented. The near and far fields scattered by the grating are analyzed.

Singular integral equations in diffraction problem by an infinite periodic strip grating with one strip removed

We consider the scattering and absorption of plane H-polarized wave by finite number of graphene strips placed inside a dielectric slab, in the THz range. The problem is reduced to the singular integral equation. Here we obtain two types of singular integrals: Cauchy principal value integral and integral with poles. To eliminate the poles we present the regularization procedure. The theoretically guaranteed convergent Nystrom-type method is used for discretization. Results for the total scattering and absorption cross sections and the near field patterns are presented. We pay special attention to plasmon and gratingmode resonances, as well as excitation of eigenwaves of dielectric slab. These waves carry energy of the incident field along the dielectric slab. Dramatic growth in the power is observed at the grating-mode resonance frequencies.

THz Waves Scattering by Finite Graphene Strip Grating Embedded Into Dielectric Slab

We consider the scattering and absorption of a plane H-polarized THz wave by an infinite periodic graphene strip grating embedded into a grounded dielectric slab. The problem is reduced to the dual series equations, which, in turn, are reduced to the singular integral equation with additional conditions. The numerical method of the solution is based on the Nystrom-type algorithm and has guaranteed convergence. We use the isotropic model of graphene with conductivity described by a scalar function obtained from Kubo formalism. The dependences of the absorption coefficient on the frequency as well as the near-field distribution are presented. They show a variety of plasmon and grating-mode resonances, which are identified and studied. Almost perfect absorption is obtained near these resonances.

Singular integral equations analysis of THz wave scattering by an infinite graphene strip grating embedded into a grounded dielectric slab.

https://ietresearch.onlinelibrary.wiley.com/doi/pdf/10.1049/mia2.12120

Excitation of guided waves of grounded dielectric slab by a THz plane wave scattered from finite number of embedded graphene strips: Singular integral equation analysis

In this paper, a class of broadband non‐radiative dielectric (NRD) guide devices based on digital material are presented using optimal design technique. The NRD guides to be discussed here include low crosstalk crossing waveguide, T‐branch, 90°‐bend, and Z‐bend waveguide. To reduce the computational efforts, we employ recently proposed 2D‐FVFEM as simulation method. Based on digital material optimization strategy, binary genetic algorithm is implemented to obtain an optimal device structure in the design region. To achieve the desired properties, we introduce a unique one‐two symmetric conditions for the structural optimization. Hence, the designed crossing, T‐branch, 90°‐bend, and Z‐bend, respectively, achieve high transmission efficiencies greater than 99.5%, 49.5%:49.5%, 99.4%, and 99.9% at operating frequency 60 GHz, and, furthermore, achieve broadband property as well in the frequency ranges of 58 –64, 58–62, 59–62, and 59–63 GHz. The numerical results of 2D‐FVFEM are also verified by 3D‐FVFEM. Owing to excellent performances, the proposed NRD guide devices can be useful in a lot of millimeter‐wave circuit and system applications.

Optimal design of broadband non‐radiative dielectric guide devices using binary genetic algorithm and 2D‐FVFEM

Diffraction of h -polarized electromagnetic waves by a multi-element planar semi-infinite grating

The scattering of the H-polarized plane electromagnetic wave by a planar graphene grating in the THz range is considered. The grating is embedded into a dielectric slab placed above a perfectly electric conducting plane. The method of singular integral equations is used. To describe the graphene the model of zero-thickness impedance sheet, characterized with surface conductivity via the Kubo formalism is used. Scattering and absorption characteristics are studied.

THz Wave Scattering by Graphene Strip Grating Embedded into a Dielectric Slab with PEC Plane

Purpose: Problem of the H-polarized plane wave diffraction by the structure, which consists of two semi-infinite strip gratings, is considered. The gratings are placed in the same plane. The gap between the gratings is arbitrary. The purpose of the paper is to develop the operator method to the structures, which scattered fields have both discrete and continuous spatial spectra. Design/methodology/approach: In the spectral domain, in the domain of the Fourier transform, the scattered field is expressed in terms of the unknown Fourier amplitude. The field reflected by the considered structure is represented as a sum of two fields of currents on the strips of semi-infinite gratings. The operator equations are obtained for the Fourier amplitudes. These equations use the operators of reflection of semi-infinite gratings, which are supposed to be known. The field scattered by a semi-infinite grating can be represented as a sum of plane and cylindrical waves. The reflection operator of a semi-infinite grating has singularities at the points, which correspond to the propagation constants of plane waves. Consequently, the unknown Fourier amplitudes of the fi eld scattered by the considered structure also have singularities. To eliminate these latter, the regularization procedure has been carried out. As a result of this procedure, the operator equations are reduced to the system of integral equations containing the integrals, which should be understood as the Cauchy principal value and Hadamar finite part integrals. The discretization has been carried out. As a result, the system of linear equations is obtained, which is solved with the use of the iterative procedure. Findings: The operator equations with respect to the Fourier amplitudes of the field scattered by the structure, which consists of two semi-infinite gratings, are obtained. The computational investigation of convergence has been made. The near and far scattered fields are investigated for different values of the grating parameters. Conclusions: The effective algorithm to study the fields scattered by the strip grating, which has both discrete and continuous spatial spectra, is proposed. The developed approach can be an effective instrument in solving a series of problems of antennas and microwave electronics. Key words: semi-infinite grating, operator method, singular integral, hypersingular integral, regularization procedure

/pdf/operator-method-in-the-problem-of-the-h-polarized-wave-1ncg4sbrii.pdf

Operator method in the problem of the h-polarized wave diffraction by two semi-infinite gratings placed in the same plane

/pdf/the-h-polarized-electromagnetic-wave-diffraction-by-multi-4vauto1eo5.pdf

The h-polarized electromagnetic wave diffraction by multi-element plane semi-infinite grating

Handle everyday research tasks with reliable, citation-backed results

Your personal Research Agent to handle research tasks with citation-backed results

Popular Tasks used by Researchers

How can I help with your research?

Meet SciSpace

Get more enhanced response by uploading the PDFs you want me to reference.

No relevant PDFs in your library

SciSpace is the AI research assistant for academics. Run systematic literature reviews on 280M+ papers, and write papers with cited sources. Trusted by 1M+ students, PhDs & researchers.

SciSpace | AI for Research

Analyze PDFs

Code & Manuscripts

Funding & Grants

Literature & Patents

Medical & Clinical Data

Systematic Review

Visualize & Present

Web & Data

Build a Google Scholar-like website for your research.

Build a website

Create charts and images for your research

Create a Chart

Write a paper for submission to a journal

Draft a manuscript

Patent Search

Design eye-catching scientific posters in minutes.

Scientific Poster Generation

Systematic Literature Review

One task is running at the moment. Your messages will be shown right after.

Drag and drop or click here to browse

Loved by <highlight>1 million+</highlight> researchers

Extract a list of specific topics and their sources from unstructured text

Topics

Compare and analyze relevant papers that matches with your search

Papers

Get insights from PDFs and bookmarked papers from your library

My library

Recent searches

Try searching for:

Catch AI-generated content in scholarly and non-scholarly content

{ai} Detector

Ai Writer

Get PDF Summaries, highlighted text explanations 

Chat with PDF

Effortlessly create in-text citations and bibliographies in APA and 2,500 other formats

Citation generator

Get explanations, summaries, and answers on academic papers

Ease up your research workflow with {scispace}'s cohort of exciting AI tools

Elevate your academic writing skills and convey your ideas the way you want

Paraphraser

Explore our range of reading and writing tools

Your file is being prepared and should be ready in a few minutes. If it's a large file, it might take a bit longer. You can close this window, and we'll email you the file when it's done.

You have reached a maximum limit of <strong>{limit}</strong> columns in the table. Remove at least <strong>1</strong> column to add or create another one.

M. E. Kaliberda

Author Tools

Chat about Author