| 1. |
- Ioannidis, Andreas, et al.
(author)
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A mathematical framework for propagation in an open cavity
- 2013
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In: Proceeding of 2013 URSI International Symposium on Electromagnetic Theory (EMTS). - : IEEE Press. - 9781467349390 ; , s. 1043-1046
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Conference paper (peer-reviewed)abstract
- The purpose of this paper is to establish a formal mathematical framework for the electromagnetic wave propagation in an arbitrary cavity. The walls of the cavity are not assumed perfectly conducting and we use the transmission boundary conditions for the tangential fields. Our main tool is the Laplace transform. The focus here is on the modeling and detailed proofs or calculations are not provided.
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| 2. |
- Nilsson, Börje, et al.
(author)
-
Long distance source localization in waveguides with complicated structure
- 2012
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In: 2012 International Conference on Mathematical Methods in Electromagnetic Theory (MMET). - Los Almitos : IEEE. - 9781467344784 ; , s. 415-418
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Conference paper (other academic/artistic)abstract
- With the purpose of source localization in high voltage direct current submarine power cables general layered waveguide models are investigated. It is concludes that the non-discrete modes can usually be ignored in comparison with the least attenuated discrete mode. Only a finite number of discrete modes are of importance for a band limited signal. Accurate analytical expressions are derived in the time domain for both discrete and non-discrete electromagnetic waveguide modes for large distances together with an error analysis.
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| 3. |
- Nordebo, Sven, et al.
(author)
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On the generalized Jordan's lemma with applications in waveguide theory
- 2013
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In: Proceeding of 2013 URSI International Symposium on Electromagnetic Theory (EMTS). - 9784885522772 ; , s. 1039-1042
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Conference paper (peer-reviewed)abstract
- This paper presents two variants of a generalized Jordan's lemma with applications in waveguide theory. As a main application is considered an asymptotic analysis for open waveguide structures with circular geometry. In particular, the generalized Jordan's lemma can be used to justify that field components can be calculated as the sum of discrete and non-discrete modes, i.e., as the sum of residues and an integral along the branch-cut defined by the transversal wavenumber of the exterior domain. An explicit example regarding the axial symmetric TM0 modes of a single core transmission line, wire, or optical fibre is included to demonstrate the associated asymptotic behavior for a typical open waveguide structure.
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| 4. |
- Nordebo, Sven, 1963-, et al.
(author)
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Reduced volume integral formulations for an open waveguide based on the cylindrical vector wave expansion
- 2013
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In: PIERS 2013 Stockholm. - : Electromagnetics Academy. - 9781934142264 ; , s. 633-637
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Conference paper (peer-reviewed)abstract
- A Fourier representation of the electric field volume integral equation for an open and cylindrically symmetrical waveguide is given in this paper. The waveguide material is assumed to be isotropic, non-magnetic and with an arbitrary radial variation in the relative permittivity. The Fourier representation yields a system of one-dimensional integral equations, one system for each azimuthal index and where the Fourier variable for the longitudinal direction plays the role of a spectral parameter. The integral equation is of the second kind and has a kernel that is generally discontinuous on the diagonal and singular at the origin. In the axial symmetric case, it can readily be shown that the elements of the matrix kernel belong to an L2-space, and hence that the integral operator is compact and the analytic Fredholm theorem is applicable.
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