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Quasioptical Fresnel-based lens antenna with frequency-steerable focal length for millimeter wave radars

Published online by Cambridge University Press:  22 December 2023

Niklas Muckermann*
Affiliation:
Institute of Integrated Systems, Ruhr University Bochum, Bochum, Germany
Jan Barowski
Affiliation:
Institute of Integrated Systems, Ruhr University Bochum, Bochum, Germany
Nils Pohl
Affiliation:
Institute of Integrated Systems, Ruhr University Bochum, Bochum, Germany Fraunhofer FHR, Wachtberg, Germany
*
Corresponding author: Niklas Muckermann; Email: niklas.muckermann@ruhr-uni-bochum.de
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Abstract

This article presents the design of a dielectric lens antenna that utilizes the concept of a stepped Fresnel lens for focusing electromagnetic millimeter waves. Based on the quasi-optical properties of these waves, a Cartesian Oval is optimized and employed as a focusing lens. Multiple such lenses are combined to two different Fresnel-based lens antennas. We survey these newly designed lens antennas and compare them with a focusing lens antenna based on a Cartesian oval and a far-field lens antenna. Simulations and measurements with a frequency-modulated continuous-wave (FMCW) radar validate the effectiveness of the new design, demonstrating an even improved focus size while significantly reducing the size and weight of the lens antenna by up to 53% and by nearly 48 %, respectively. Additionally, the Fresnel-based lens antennas reveal a frequency dependency, enabling frequency-based steering of the focal length over a wide relative tuning range of 177%, which we thoroughly investigate for various bandwidths and center frequencies.

Information

Type
EuMW 2022 Special Issue
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited.
Copyright
© The Author(s), 2023. Published by Cambridge University Press in association with the European Microwave Association.
Figure 0

Figure 1. Cross-section of a focusing lens antenna, which is based on a Cartesian oval.

Figure 1

Figure 2. Amplitude profiles of Gaussian beam waists of focusing lenses with identical diameters ${D}$ but increasing focal lengths in ${z}$-direction.

Figure 2

Figure 3. Design concept of the Fresnel-based lens antenna: Multiple focus lenses, with differing lengths ${l}$ separated by $\Delta l$, are merged and subsequently trimmed to the length of the shortest lens.

Figure 3

Figure 4. Investigated lenses: (1) far-field lens, (2) focus lens, (3) Fresnel lens with ten steps, (4) Fresnel lens with five steps.

Figure 4

Table 1. Properties of the investigated lenses from Figure 4

Figure 5

Figure 5. Measurement setup: FMCW radar with investigated lens antenna and a corner reflector with 20 mm side length on two perpendicular mounted linear track.

Figure 6

Figure 6. Simulated amplitudes of lens (1) to (4) in the ${yz}$-plane with a center frequency of $f_{\mathrm{c}}=80\,\mathrm{GHz}$, normalized to the maximum of lens (2) [1].

Figure 7

Figure 7. Measured amplitudes of lens (1)–(4) in the ${yz}$-plane with a center frequency of $f_{\mathrm{c}}=80\,\mathrm{GHz}$ and a bandwidth of $B= 5\,\mathrm{GHz}$, normalized to the maximum of lens (2) [1].

Figure 8

Figure 8. Measured amplitudes of lens (1)–(4) over ${y}$ with different bandwidths ${B}$, using a center frequency $f_{\mathrm{c}}=80\,\mathrm{GHz}$ and a front focal distance $s_\mathrm{F}=300$ mm.

Figure 9

Figure 9. Measured amplitudes of lenses (3) and (4) over ${z}$ with different center frequencies $f_{\mathrm{c}}$ from 70 to 88 GHz and a constant bandwidth of ${B}$ = 4 GHz, normalized to the maximum amplitude at $f_{\mathrm{c}}=80$ GHz.

Figure 10

Figure 10. Measured amplitudes of lenses (3) and (4) over ${y}$ with different center frequencies $f_{\mathrm{c}}$ from 70 to 88 GHz and a constant bandwidth of ${B}$ = 4 GHz, normalized to the maximum amplitude at $f_{\mathrm{c}}=80$ GHz.

Figure 11

Figure 11. Measured waist radius $w_\mathrm{0,meas}$ of lenses (3) and (4) over different center frequencies at a bandwidth of 4 GHz, referring the corresponding theoretical waist radius $w_\mathrm{0,calc}$.

Figure 12

Figure 12. Measured beam waist radius $w_\mathrm{0,meas}$ of lens (3) and lens (4) over different center frequencies at a bandwidth of 4 GHz.

Figure 13

Figure 13. Measured amplitudes of lenses (3) and (4) over ${z}$ with different bandwidths ${B}$ and a center frequency of $f_{\mathrm{c}}=80\,\mathrm{GHz}$, normalized to the maximum amplitude at ${B}$ = 5 GHz.