University of Jyväskylä | JYX Digital Repository

  • English  | Give feedback |
    • suomi
    • English
 
  • Login
JavaScript is disabled for your browser. Some features of this site may not work without it.
View Item 
  • JYX
  • Opinnäytteet
  • Väitöskirjat
  • View Item
JYX > Opinnäytteet > Väitöskirjat > View Item

Electromagnetic wave propagation in non-homogeneous waveguides

Thumbnail
View/Open
1.1 Mb

Downloads:  
Show download detailsHide download details  
Published in
Jyväskylä studies in computing
Authors
Poretskii, Aleksandr
Date
2015
Discipline
Tietotekniikka

 
We investigate an electromagnetic waveguide, having several cylindrical ends. The waveguide is assumed to be empty and to have a perfectly conductive boundary. We study the electromagnetic field, excited in the waveguide in the presence of charges and currents. The field can be described as a solution of the stationary Maxwell system with conductive boundary conditions and “intrinsic” radiation conditions at infinity. We prove the problem to be well-posed. Electromagnetic waves propagation in the waveguide can be described by means of a scattering matrix. We introduce such a matrix for all values of the spectral parameter k in the waveguide continuous spectrum and study its properties. Moreover, we propose and justify a method for approximating the scattering matrix for all k in the continuous spectrum, including thresholds; the presence of waveguide eigenvalues does not influence the method statement. The results of the thesis extend the area of electromagnetic waveguide theory and have numerous applications. Particularly, the asymptotic and numerical methods, developed in the thesis, can be used for design and analysis of complex waveguides with resonators, SHF splitters, etc. To prove the results, we extend the over-determined Maxwell system to an elliptic problem and study the latter in detail. The information on the Maxwell system comes from that, obtained for the elliptic problem. ...
Publisher
University of Jyväskylä
ISBN
978-951-39-6370-5
ISSN Search the Publication Forum
1456-5390
Keywords
aaltojohtimet Maxwellin yhtälöt elliptiset raja-arvo-ongelmat sirontamatriisit the stationary Maxwell system waveguides elliptic extension intrinsic radiation conditions radiation principle scattering matrix method for approximating the scattering matrix minimizer of a quadratic functional exponential convergence rate thresholds stable basis extended scattering matrix limits of the scattering matrix at thresholds sähkömagneettinen säteily sähkömagneettiset kentät sironta osittaisdifferentiaaliyhtälöt matriisilaskenta numeeriset menetelmät
URI

http://urn.fi/URN:ISBN:978-951-39-6370-5

Metadata
Show full item record
Collections
  • Väitöskirjat [3079]

Related items

Showing items with similar title or keywords.

  • On a numerical solution of the Maxwell equations by discrete exterior calculus 

    Räbinä, Jukka (University of Jyväskylä, 2014)
  • How much is enough? : The convergence of finite sample scattering properties to those of infinite media 

    Penttilä, Antti; Markkanen, Johannes; Väisänen, Timo; Räbinä, Jukka; Yurkin, Maxim A.; Muinonen, Karri (Elsevier, 2021)
    We study the scattering properties of a cloud of particles. The particles are spherical, close to the incident wavelength in size, have a high albedo, and are randomly packed to 20 % volume density. We show, using both ...
  • Electromagnetic scattering solutions for digital signal processing 

    Blackledge, Jonathan (University of Jyväskylä, 2010)
      
  • A posteriori error control for Maxwell and elliptic type problems 

    Anjam, Immanuel (University of Jyväskylä, 2014)
  • Asymptotic and numerical studies of electron scattering in 2D quantum waveguides of variable cross-section 

    Kabardov, Muaed (University of Jyväskylä, 2012)
  • Browse materials
  • Browse materials
  • Articles
  • Conferences and seminars
  • Electronic books
  • Historical maps
  • Journals
  • Tunes and musical notes
  • Photographs
  • Presentations and posters
  • Publication series
  • Research reports
  • Research data
  • Study materials
  • Theses

Browse

All of JYXCollection listBy Issue DateAuthorsSubjectsPublished inDepartmentDiscipline

My Account

Login

Statistics

View Usage Statistics
  • How to publish in JYX?
  • Self-archiving
  • Publish Your Thesis Online
  • Publishing Your Dissertation
  • Publication services

Open Science at the JYU
 
Data Protection Description

Accessibility Statement

Unless otherwise specified, publicly available JYX metadata (excluding abstracts) may be freely reused under the CC0 waiver.
Open Science Centre