Basic Principles of Fresnel Antenna Arrays by Igor V. Minin, Oleg V. Minin

By Igor V. Minin, Oleg V. Minin

The short common fundamentals of antenna arrays -- Lens applicants to antenna array -- FZP lens array -- a few fields of lens array purposes

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The advantage of using cylindrically shaped subwavelength features is that inexpensive fabrication processes such as conventional mechanical drilling can be employed for DE fabrication. The authors [50] also extend the concept of subwavelength DEs to longer millimeter wavelengths. To design DEs with spatially varying effective properties, a cell-encoding scheme was employed. In this process, a DE with a desired 34 1 The Brief Elementary Basics of Antenna Arrays continuous phase response was approximated by a number of finite size cells.

We can see that: d / 2 = Rm − Rm−1 . On the other hand, tan θ ≈ sin θ = λ / d , which shows that the slit separation varies inversely with radius. Substituting this expression into Eq. 22) yields the formula: 1 1 1 , F⎛λ ⎞ + = f n = ⎜⎜ ⎟⎟ . A B fn n ⎝ λ0 ⎠ This last formula is recognized as being the familiar Gaussian lens formula for a lens with a focal length fn. That is, the zone plate will act just like a thin lens with a focal length fn. Also, since n can take on negative values, the zone plate acts like a diverging lens as well as a converging lens.

Researchers at Bell Telephone Labs filed a patent for the first PCFL antenna in 1939 [14], which was designed at 30 GHz with material having a dielectric constant of 20. C. [14]. Despite this activity, the PCFL antenna did not become popular until 1960 when Sobel et al. [15] designed and tested the first PCFL antennas at millimeter wave frequencies. Their designs were quite novel and involved phase corrections smaller than 180° which had never been implemented before. This led to aperture efficiencies on the order of 50–60%.

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