2006
DOI: 10.1109/tmtt.2006.871367
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Periodic FDTD analysis of leaky-wave structures and applications to the analysis of negative-refractive-index leaky-wave antennas

Abstract: Abstract-The determination of the attenuation constants of periodic leaky-wave structures via the finite-difference time-domain (FDTD) method has been pursued so far via the simulation of a number of unit cells that is large enough to guarantee the convergence of the computed value. On the other hand, Brillouin diagrams of periodic structures can be readily extracted via the simulation of a single unit cell, terminated in periodic boundary conditions. This paper demonstrates a methodology that enables the conc… Show more

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Cited by 68 publications
(23 citation statements)
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“…In order to analyze and design these structures, a FDTD technique has been developed that is capable of predicting the phase and leaky attenuation constants from a single unit cell [59]. The corresponding dispersion diagram for a typical microstrip-based 2D structure is shown in Figure 14.54.…”
Section: Two-dimensional Nri-tl Metamaterials Leaky-wave Antennasmentioning
confidence: 99%
See 1 more Smart Citation
“…In order to analyze and design these structures, a FDTD technique has been developed that is capable of predicting the phase and leaky attenuation constants from a single unit cell [59]. The corresponding dispersion diagram for a typical microstrip-based 2D structure is shown in Figure 14.54.…”
Section: Two-dimensional Nri-tl Metamaterials Leaky-wave Antennasmentioning
confidence: 99%
“…This vanishing group velocity phenomenon is a consequence of the fact that the structure is radiating; the reader is referred to Ref. 59 …”
Section: Two-dimensional Nri-tl Metamaterials Leaky-wave Antennasmentioning
confidence: 99%
“…It should also be pointed out that if a real-valued excitation is used, the final value of (1) is also real-valued. The detailed implementation of the spectral FDTD is as in [7]- [11].…”
Section: Asm-fdtd Methods For Near Field Calculationmentioning
confidence: 99%
“…When combined with the FDTD method the new algorithm permits savings of both memory and solution time compared with the standard FDTD method (which must include many periodic cells in the stimulation domain in order to obtain an accurate solution). The FDTD method for periodic structures is here implemented with the "phase shift" boundary conditions in the time domain [7]- [11]. This is a new implementation of the FDTD method that permits the analysis of time-varying excitations in periodic structures illuminated by a plane wave with oblique incidence or by a periodic set of line sources phased to produce a beam at an oblique angle.…”
Section: Introductionmentioning
confidence: 99%
“…Recently, with the emergence of metamaterials a new kind of LWA was proposed that does not suffer from this problem [5,6], or at least minimizes it. This antenna, however, radiates through the fundamental harmonic (n = 0) and may be considered to belong to the category of the uniform LWAs due to its effectively homogeneous nature even though it is structurally periodic.…”
Section: Introductionmentioning
confidence: 99%