**
Abstract.** Numerical study of the dispersion properties of a 2-D periodic leaky
wave antenna composed of the array of one-dimensional slotted waveguide
antennas with linear phase shift between them is presented. Calculations were performed
using the multimode setup for the eigen mode problem. The study revealed
branches and stop bands in the dispersion diagram caused by the mutual coupling
and phase shift between the waveguides in the array. The
directions of radiation of the leaky Floquet space harmonic and the scanning
sector in the frequency range for the given phase shift are determined. The
numerical analysis of a large finite array composed of waveguides of finite
length is carried out. The angles of radiation and the scanning sector of the
finite array fed from all its inputs were computed in the given frequency
range. They agree very well with the corresponding leakage directions and the
scanning sector of the leaky space harmonic in the infinite array. For the
given parameters the scanning sector is 30° in elevation and 40° in azimuth in
the frequency range 8-11 GHz. The active reflection coefficients at the
waveguide inputs do not exceed -20 dB in most of the frequency range. It is also shown that with increasing the phase shift
between waveguides an additional beam corresponding to a different spatial
harmonic may appear in the radiation pattern along with the main beam.

**Key
words. **
Leaky wave antenna,
2-D periodic antenna array, slotted-waveguide antenna, phase shift, scanning
sector.

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**
Reference to this
paper:**

Study of the frequency scanning for a slotted waveguide
antenna array with a constant phase shift between the waveguides.
V. I. Kalinichev,
A. A. Babaskin. *
Zhurnal Radioelektroniki - Journal of Radio Electronics, *
2017, No. 1.* *Available at http://jre.cplire.ru/jre/jan17/7/text.pdf.
(In Russian)