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Scattering parameters of a wet radome

Published online by Cambridge University Press:  27 June 2025

Philipp J. Schmid*
Affiliation:
Institute of Applied Physics, University of Bern, Bern, Switzerland Oeschger Centre for Climate Change Research, University of Bern, Bern, Switzerland
Maurizio Sartori
Affiliation:
Radar, Satellite and Nowcasting Division MDR, Federal Office of Meteorology and Climatology MeteoSwiss, Locarno, Switzerland
Marco Gabella
Affiliation:
Radar, Satellite and Nowcasting Division MDR, Federal Office of Meteorology and Climatology MeteoSwiss, Locarno, Switzerland
Matthias Renker
Affiliation:
Armasuisse Science and Technology, Bern, Switzerland
Daniel Wolfensberger
Affiliation:
Radar, Satellite and Nowcasting Division MDR, Federal Office of Meteorology and Climatology MeteoSwiss, Locarno, Switzerland
Mikko Kotiranta
Affiliation:
Institute of Applied Physics, University of Bern, Bern, Switzerland
Axel Murk
Affiliation:
Institute of Applied Physics, University of Bern, Bern, Switzerland Oeschger Centre for Climate Change Research, University of Bern, Bern, Switzerland
*
Corresponding author: Philipp J. Schmid; Email: philipp.schmid@unibe.ch
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Abstract

The radome of weather radars can be covered with a layer of water, degrading the quality of the radar products. Considering a simplified setup with a planar replica of the Swiss weather radars’ radome, we measure and model analytically its scattering parameters, with and without water. The measured reflectance of the dry radome replica agrees well with the one modeled according to the manufacturer specifications. Water forms droplets on the hydrophobic surface, but water films thicker than 1 mm can be created. Meteorologically more realistic thinner water films are expected on old radomes that have become hydrophilic with aging. Using hygroscopic silk and cotton tissues, we empirically imitate water films as thin as less than 0.1 mm. The measurements align with the simple analytical model of uniform plane wave incidence on the radome and water film but could be further improved by taking refraction and bending of the radome replica into account. Simulations with the General Reflector Antenna Software Package (GRASP) from TICRA complement the study for a representative setup with a spherical radome.

Information

Type
Research Paper
Creative Commons
Creative Common License - CCCreative Common License - BYCreative Common License - NCCreative Common License - ND
This is an Open Access article, distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives licence (http://creativecommons.org/licenses/by-nc-nd/4.0), which permits non-commercial re-use, distribution, and reproduction in any medium, provided that no alterations are made and the original article is properly cited. The written permission of Cambridge University Press must be obtained prior to any commercial use and/or adaptation of the article.
Copyright
© The Author(s), 2025. Published by Cambridge University Press in association with The European Microwave Association.
Figure 0

Figure 1. The antenna system of the Swiss weather radars. The figure shows the $4.05\,\mathrm{m}$ parabolic dish antenna with $1.524\,\mathrm{m}$ focal distance inside of the spherical radome with $6.5\,\mathrm{m}$ outside diameter. The reflector surface has an $0.92\,\mathrm{m}$ offset from the center of the radome. The analogue and digital receivers are installed on the antenna counterweight (receiver-over-elevation box). The transmitter and the control cabinets are located in a separate room.

Figure 1

Figure 2. Analytical model and empirical realization of wet radome scattering at C-band. The analytical model is illustrated within the black-dashed contour line in Figure 2a. It comprises complex field amplitudes at the radome inside (bottom) and outside (top) interfaces, $E_{1}^{\pm}(\nu)$ and $E_{2}^{\pm}(\nu)$, with adjacent arrows that indicate the directions of propagation of the corresponding waves along the z-axis. In the experiment, a $1\,\mathrm{m}\times 1\,\mathrm{m}$ radome replica is centered between two rectangular horn antennas, the distance d from the surfaces of the radome replica, and connected to a two-port vector network analyzer (VNA). The red-dashed contour outlines the spatial domain $\mathcal{V}$ used for evaluating Poynting’s theorem. Figure 2b shows a photo of the measurement setup used for the “film,” “cotton,” and “silk” experiments (see Section “Description of the measurements — Simulating a rain coverage in the laboratory”) with $d=104\pm0.5$ cm. A similar, but more provisional, wooden scaffold with $d=126.5\pm1$ cm was used in previous experiments, referred to as “droplets/film” (see Section “Description of the measurements — Simulating a rain coverage in the laboratory” and [51]). (a) Analytical model versus empirical realization of wet radome scattering. (b) Measurement setup with horn antennas, flat radome replica, and wooden scaffold.

Figure 2

Figure 3. Photos of the experiment referred to as “droplets/film.” The numbers represent the amount of water on the radome. Water accumulates on the hydrophobic surface as droplets (Figure 3a). As more water is sprayed, droplets coalesce into patches (Figure 3b). At this point, the water could be manually spread into a film (Figure 3c). We estimate a loss of $5\pm4\,\mathrm{g}$ water during that process. The water film covers approximately $90\pm5\%$ of the radome, with only a few dry spots near its borders. The thickness of the water film over the central part of the radome is given by $\ell_w=m_w/(\rho_wAf)=1.35\pm0.07\,\mathrm{m}\mathrm{m}$, with $m_w=1212\pm4\,\mathrm{g}$ the mass of the water on the radome, $\rho_w\approx1$ kg/m3 the water density, $A=1\,\mathrm{m}^2$ the radome surface area and $f=0.90\pm0.05$ the fraction of the surface covered with the water film. Water deployed areas are visible on the bottom and in the left parts of the photograph. (a) $147.0 \pm 0.4\,\mathrm{g}$, (b) $1217.0 \pm 1.2\,\mathrm{g}$, and (c) $1212\pm4\,\mathrm{g}$.

Figure 3

Table 1. Material parameters of core, skin, and coating of the planar radome replica. Taking the relative permittivity $\epsilon_d = \epsilon_d^\prime - i\epsilon_d^{\prime\prime}$ to be independent of frequency, the table shows the supposed values of $\epsilon_d^\prime$ and of the loss tangent $\tan\!\left(\epsilon_d^{\prime\prime}/\epsilon_d^\prime\right)$. The thickness of each layer is also given. The materials are considered nonconductive and nonmagnetic

Figure 4

Figure 4. Measurements of the radome reflectance $|\mathcal{R}|^2$, shown on a logarithmic scale versus frequency ν (yellow), and modeled reflectance according to the manufacturer specifications provided in Table 1 (dashed yellow). The measurements are conduced using three different setups. For the 3.5–7 GHz range, the setup from Figure 2 is used without the upper half of the scaffold. At the higher frequencies, two corrugated conical horns are used: one for 16–26.5 GHz and the other for 26.5–40 GHz (marked by the vertical black-dotted line at 26.5 GHz). For the latter two frequency ranges, the figure also shows the measured reflectance of a material sample of the radome foam core (light gray) and the silk tissue used to create thin water films (black). The dashed curves are the fitted one-slab-models, optimizing the relative permittivity ϵd given the thickness of the foam core sample ($38.74\pm0.06\,\mathrm{mm}$) and of the silk tissue ($0.100\pm0.002\,\mathrm{mm}$). The resulting estimates of ϵd are shown in the legend.

Figure 5

Table 2. Material properties of the cotton and of the silk tissues. Assuming the relative permittivity $\epsilon_d = \epsilon_d^\prime - i\epsilon_d^{\prime\prime}$ to be frequency independent, the table shows the values of $\epsilon_d^\prime$ and of the loss tangent $\tan\!\left(\epsilon_d^{\prime\prime}/\epsilon_d^\prime\right)$ as estimated from the measurements. The tissues are considered as nonconductive and nonmagnetic dielectrics

Figure 6

Figure 5. Measured (continuous) and modeled (dashed) transmittance $|\mathcal{T}|^2$, reflectance $|\mathcal{R}|^2$, and absorptance $|\mathcal{A}|^2$ in the outgoing direction (corresponding to radar transmission) for dry and wet radome versus frequency ν, at $T=23\pm0.5^\circ$C. Measurements are taken using the full setup from Section “Description of the measurements — Measurement setup” (Figure 2) with both antennas attached. The thinnest water film is measured with the silk tissue on the radome (cyan), the other ones with the cotton tissue (blue, purple, and magenta). The model refers to the computed water heights, ignoring the presence of the tissue.

Figure 7

Figure 6. Measured transmittance, reflectance, and absorptance of the wet radome, see Eq. (2), averaged between $5450\pm50\,\mathrm{MHz}$, as a function of the computed water layer thickness, $\ell_w$. The outgoing quantities $|\mathcal{T}|^2$, $|\mathcal{R}|^2$, and $|\mathcal{A}|^2$ (represented by solid dark lines) and incoming quantities $|{\mathcal{T}^\prime}|^2$, $|{\mathcal{R}^\prime}|^2$, and $|{\mathcal{A}^\prime}|^2$ (dotted light lines) are measured. Data are collected from three different experiments. In the “film” experiment (blue), thick water films are tested. In the “cotton” experiment (green), a thin cotton tissue is used to mimic thin water films on the hydrophobic radome surface. In the “droplets/film” experiment without the tissue (purple), the water forms droplets (Figure 3a and 3b). When there is lots of water on the radome, the droplets can be smeared out to a film (Figure 3c). The measurements are compared with the outgoing (dashed black) and incoming (dashed gray) quantities predicted by the analytical plane wave model from Section “Analytical model for flat radome”, calculated for frequency $\nu=5450\,\mathrm{MHz}$ and water temperature $T=23^\circ$C.

Figure 8

Figure 7. Schematic of the Swiss weather radar geometry, including a spherical radome with $3.25\,\mathrm{m}$ outer radius (gray), a $4.05\,\mathrm{m}$ parabolic reflector with $1.524\,\mathrm{m}$ focal length (brown), and a focal-point feed (black) with geometrical optics rays emanating from it (magenta). The reflector surface has a $0.92\,\mathrm{m}$ offset to the center of the radome, corresponding to the origin of the indicated Cartesian coordinate system (red-green-blue).

Figure 9

Figure 8. GRASP Physical Optics simulation of the Swiss weather radars’ antenna gain at the frequency $\nu=5450\,\mathrm{MHz}$, expressed in decibels relative to an isotropic radiator as a function of the zenith angle. Shown are simulations with no radome (gray), dry radome (yellow), and wet radome with water films of thickness $0.05\,\mathrm{mm}$ (blue), $0.1\,\mathrm{mm}$ (purple), and $0.2\,\mathrm{mm}$ (magenta). The legend provides the antenna peak gain for each simulations.