Abstract

Straight long slots have high side-lobes in the far-field amplitude patterns, which reduces their use as high-performance antennas. To reduce these side-lobes, a long slot may be tapered to produce the desired radiation patterns. The theory of control of the aperture distribution to reduce side-lobes has been already reported in some works and well known for already some decades. It is, however, shown in this paper that it may not be good enough to achieve ultra-low side lobes. The theory to analyze and design tapered leaky-wave antennas is described in this paper. Since it is very challenging to achieve a mathematical equation in this regard, some parameters will be calculated using simulation in the first step and the shape of the antenna field is obtained based on these parameters. In the next step, a differential equation is derived for the first step parameters. The solution of this differential equation which is the main motivation of this paper will be expressed in three ways where each part is more accurate than the previous one. According to the measurement results, the structure has a side-lobe level more than −45 dB.

Highlights

  • Straight long slots have high side-lobes in the far-field amplitude patterns, which reduces their use as high-performance antennas

  • The main motivation of this paper is to provide more precise equations for the slot shape of the LWA, which can be achieved ultra-low SLL based on these equations

  • The bottom part of the antenna is made up and screwed up to the upper part so that no displacement occurs, and the slot is created on the upper part of the antenna (Fig. 11)

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Summary

There are amendments to this paper

OPEN Mathematical Analysis of a Modified Closed-Form Formula for Design a Uniform Leaky-Wave. One of the important features of the LWA is that the distribution of the surface current is controlled by the location of the slot This antenna offers some other interesting features such as high efficiency, easy feeding design, and high mechanical strength. If the amount of α is small, the slot length will be effective and the length of the antenna should be selected larger to obtain a low SLL In this case, the ability to create a narrow beam pattern in the antenna will be provided. The main motivation of this paper is to provide more precise equations for the slot shape of the LWA, which can be achieved ultra-low SLL based on these equations. Drawing the exact field shape on the antenna slot and obtaining the α and β parameters based on it, is one of the important achievement of this paper

Control of Aperture Distribution
Expression of Relationship that are Required for Design LWA
The α and β Parameters Achievement
Antenna Design Process
Knowing the following mathematical facts
Simulations and Results
Conclusion
Author Contributions
Additional Information
Full Text
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