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1-D Periodic Lattice Sums for Complex and Leaky Waves in 2-D Structures Using Higher Order Ewald Formulation
- Source :
- IEEE Transactions on Antennas and Propagation, IEEE Transactions on Antennas and Propagation, Institute of Electrical and Electronics Engineers, 2019, 67 (4), pp.2364-2378. ⟨10.1109/TAP.2019.2894280⟩
- Publication Year :
- 2019
- Publisher :
- HAL CCSD, 2019.
-
Abstract
- International audience; A very efficient and accurate method is proposed to evaluate the Lattice Sums (LSs) for the analysis of leaky waves in two-dimensional (2-D) periodic waveguides. The LSs are series involving Hankel functions of arbitrary order, which are not convergent for complex wavenumbers. It is shown that by extending Ewald representations to higher-order Hankel functions, the LSs can be expressed in terms of spatial and spectral series, granting Gaussian convergence even in the case of complex and leaky waves. The method allows for the appropriate choice of the spectral determination for each space harmonic of a given LS coefficient, thus permitting one to obtain modal solutions that may correspond to physical and non-physical leaky-wave phenomena. First, the proposed LS calculation is exploited in the evaluation of the free-space one-dimensional (1-D) periodic Green's function for 2-D structures. Then, the same procedure for the LSs is implemented in a cylindrical harmonic expansion method, based on the transition-matrix and the generalized reflection-matrix approach, for the full-wave analysis of leaky modes in 2-D Electromagnetic Band-Gap waveguides formed by layered arrays of cylindrical inclusions. The presented LS formalism is numerically slim, very fast, and thus well suited for the analysis of a significant class of lossy periodic waveguides and leaky-wave antennas.
- Subjects :
- periodic structure
Gaussian
Modal analysis
Index Terms -Leaky waves
02 engineering and technology
Harmonic analysis
symbols.namesake
leaky wave
Lattice (order)
Complex wave
0202 electrical engineering, electronic engineering, information engineering
Wavenumber
Green's functions
electromagnetic band-gap (EBG) material
Electrical and Electronic Engineering
periodic structures
Photonic crystal
Elektrotechnik
Physics
modal analysi
Mathematical analysis
Metamaterial
complex waves
020206 networking & telecommunications
Green's function
modal analysis
[SPI.ELEC]Engineering Sciences [physics]/Electromagnetism
photonic crystals
symbols
electromagnetic band-gap materials
Hydrogen spectral series
photonic crystal
Subjects
Details
- Language :
- English
- ISSN :
- 0018926X
- Database :
- OpenAIRE
- Journal :
- IEEE Transactions on Antennas and Propagation, IEEE Transactions on Antennas and Propagation, Institute of Electrical and Electronics Engineers, 2019, 67 (4), pp.2364-2378. ⟨10.1109/TAP.2019.2894280⟩
- Accession number :
- edsair.doi.dedup.....b9abb1bf06b4dc84385753f0ece1accb