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    Jackson, D R

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    Radiating properties of 1-D bidirectional leaky-wave antennas

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    We analyze radiation from bidirectional one-dimensional leaky-wave antennas (1-D LWAs), from an original perspective. As is known, when the aperture is infinite, the radiation pattern changes considerably for certain combinations of the phase and the attenuation constants. These specific values identify the boundaries between different radiating regimes. In this work, we thoroughly explain the evolution of the beam through all the radiating regimes, and then evaluate its beamwidth with original analytical formulas. The relevant case of a finite-size aperture is considered as well. In this case, we show that the boundaries between the radiating regimes change as the radiation efficiency changes. The evolution of these boundaries as a function of the radiation efficiency is found by numerical means. These results allows for a rigorous and comprehensive description of the radiating behavior of practical 1-D bidirectional LWAs

    Optimization of the radiating features of 1-D unidirectional leaky-wave antennas

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    The optimization of antenna parameters such as gain is an important aspect of all antenna design. In the context of leaky-wave antennas (LWAs), it is important to have accurate design rules for optimizing the gain of the antenna for practical finite-length structures. In this work, taking advantage of the recent formulas derived for the accurate evaluation of the beamwidth in finite-size 1-D unidirectional LWAs, we obtain optimum conditions for this general class of antennas. In particular, design rules for minimizing the beamwidth or maximizing the gain are obtained. The latter is evaluated with a fully analytical procedure through the definition of a correction function that improves the accuracy of the common gain-beamwidth relation. The effects of material losses are also discussed to show how they can affect the optimization procedure. These results apply to any 1-D unidirectional LWA, because no assumptions are made on the wavenumber dispersion, which is instead structure-specific. However, the optimization of two practical examples, namely a holey and a slitted LWA, is discussed to show practical application of the proposed design rules

    General formulas for the beam properties of 1-D bidirectional leaky-wave antennas

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    In this paper, we analyze the beam properties of bidirectional 1-D leaky-wave antennas (1-D LWAs). Specifically, it is found that, even in the infinite-aperture case, the beam properties considerably change for certain combinations of the phase and the attenuation constants, and different radiation regimes are identified here. New analytic formulas are provided to exactly evaluate the beamwidth of an infinite 1-D bidirectional LWA operating in any radiating regime. However, when the antenna truncation is accounted for, the boundaries between the radiating regimes change as the radiation efficiency changes. Analytic formulas are, therefore, provided to accurately calculate such boundaries for any practical radiation efficiency. The interesting case of a finite-length bidirectional 1-D LWA radiating at broadside is then extensively discussed. With respect to previous beamwidth formulas found in the literature, the new formulas take into account the finiteness of the aperture, thus providing more useful and reliable results, especially in cases when the aperture truncation considerably affects the radiation efficiency. The numerical results corroborate the accuracy of the proposed expressions. These new formulas not only significantly improve the accuracy of the existing ones but also lay the groundwork for the analysis of the beamwidth properties of the important case of 2-D LWAs

    Broadside radiation properties of 1D microstrip leaky-wave antennas

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    In this paper the behavior in the neighborhood of broadside for 1D periodic microstrip leaky-wave antennas is investigated. As is well known this type of antenna is characterized by a radiated beam that is frequency scannable from the backward to the forward quadrant; however the presence of an open stopband results in undesirable scan performance near broadside. Here the open stopband is thoroughly characterized and related to different types of discontinuities within the unit cell through a comparison with the results obtained for a strip grating; moreover, a technique is described in order to obtain a minimization of the stopband effects

    A general formula for the half-power beamwidth of 1-D unidirectional leaky-wave antennas

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    A general and accurate formula for evaluating the single-sided beamwidth in one-dimensional unidirectional leaky-wave antennas has been recently proposed. The half-power beamwidth is then estimated by simply doubling the value of the single-sided beamwidth. However, this approximation may lead to inaccurate results as the beam approaches endfire; at that point, the left- and the right-sided beamwidth may considerably differ one another. This conference paper proposes and numerically validates a more general formula to solve this issue

    Accurate formulas for the beamwidth of 1-D bidirectional leaky-wave antennas

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    In this work, we accurately evaluate the beamwidth of one-dimensional (1-D) bidirectional leaky-wave antennas (LWAs) radiating at broadside. Indeed, existing formulas neglect the effect of the aperture truncation, which affects the exact value of the beamwidth for practical realizations of 1-D LWAs. By exploiting a well-established theoretical framework, we find an approximate, but still accurate analytical formula for evaluating the beamwidth of finite-length 1-D bidirectional LWAs radiating at broadside. The comparison with numerical results confirm the accuracy of the proposed formula, whereas the comparison with previous formulas confirm its relevance for accurate LWA design

    A full-wave numerical approach for modal analysis of 1D periodic microstrip structures

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    In this paper, a full-wave numerical approach for the analysis and design of one-dimensional (1-D) printed periodic structures is presented. Electromagnetic-bandgap structures and leaky-wave antennas are important special cases of structures that can be analyzed. The proposed technique is based on a mixed-potential integral equation in a unit-cell environment solved by the method of moments in the spatial domain through a triangular Delaunay mesh. The 1-D periodic vector and scalar Green’s functions are derived in the spectral domain and an efficient sum of spectral integrals is carried out to obtain the spatial-domain quantities. An appropriate choice of the spectral integration path is used in order to consider leakage effects. The method developed here can thus analyze both bound and leaky modes on printed structures that have an arbitrary metallization within the unit cell

    Leaky modes at backward endfire on periodic printed structures

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    In this work, the transition at backward endfire between bound (nonleaky) and leaky modes on one-dimensional periodic structures printed on a grounded dielectric substrate is examined. This mode evolution has been characterized for a class of structures with a finite-width cross section. Such structures support leakage into surface waves as well as into space due to the presence of the substrate. The solutions in this transition region are calculated using an accurate full-wave moment-method approach that allows for the determination of both physical and nonphysical solutions, both of which play an important role in the transition region
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