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EHF attenuation derived from emission temperatures in light rain

TL;DR: In this article, the atmospheric emission temperature and attenuation in light-to-moderate rain at different frequencies and rain rates are performed, taking into account molecular absorption, and varying cloud cover and ground temperature.
Abstract: : Atmospheric emission measurements have routinely been used to determine the total attenuation on an earth-space path at the centimeter and millimeter wavelengths. In the presence of rain, scattering effects have to be taken into account at frequencies 20 GHz when one interprets emission data to derive the total attenuation. If one uses the radiometric relation to derive the attenuation, assuming an absorptive medium, one finds that the predicted attenuation underestimates the true attenuation. The reason for this the rain scatters more emission energy out of the direct ray path than into it. Calculations of the atmospheric emission temperature and attenuation in light-to-moderate rain at different frequencies and rain rates are performed, taking into account molecular absorption, and varying cloud cover and ground temperature. The results show that for typically encountered meteorological conditions, the radiometric formula can be used to derive the total attenuation ( 10 dB) from emission measurements with accuracies of the order less than 1 dB, provided that the empirical constant in the radiometric formula, dependent on the ambient temperature, is a function of frequency and ground temperature.
Citations
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Proceedings ArticleDOI
10 Apr 2016
TL;DR: In this paper, the authors examined the use of the radiometer formula with measurements of brightness temperature, attenuation, and therefore Tmr, for many attenuating rain events made with the Sun-switching method.
Abstract: Radiometry offers the possibility to measure slant-path attenuation through the radiometer formula. But lack of a clear method to obtain an accurate estimate of the effective medium temperature (Tmr) and limited experimental characterization has contributed to uncertainty it is use. This contribution examined the use of the radiometer formula with measurements of brightness temperature, attenuation, and therefore Tmr, for many attenuating rain events made with the Sun-switching method. Monte-Carlo simulations were used to calculate the radiometer response for scattering atmospheres including finite rain cells. Data and analysis showed that use of the clear air Tmr provided a satisfactory estimate of attenuation statistics to over 10 dB.

9 citations


Additional excerpts

  • ...Conversely, the measured Tmr characteristics seen in Figure 3 are in agreement with calculations based on more realistic models of horizontally stratified atmospheres [12,13]....

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Journal ArticleDOI
TL;DR: In this paper, ground-based radiometric techniques were applied to measure the slant-path attenuation cumulative distribution function to over 20dB of attenuation and to less than 1% exceedance probability at the V and W band frequencies of 72.5 and 82.5 GHz.
Abstract: Ground-based radiometric techniques were applied to measure the slant-path attenuation cumulative distribution function to over 20 dB of attenuation and to less than 1% exceedance probability at the V and W band frequencies of 72.5 and 82.5 GHz. These are the first such measurements in these frequency bands. Brightness temperature measurements were collected at an elevation angle of 36° in Rome, NY, using a four-channel radiometer that included 23.8 and 31.4 GHz receivers. A model-based approach was used to invert brightness temperature to attenuation. An atmospheric model relevant to the geographic location and statistically representative of the attenuating conditions was developed for this purpose. The main assumption of the atmospheric model was that the sources of attenuation for exceedance probabilities of concern were dominated by stratiform rain. Monte Carlo solutions to the radiative transfer equation for the precipitating atmosphere were used to generate the attenuation retrieval algorithm. Sensitivity analysis showed that the attenuation retrieval algorithm was robust to uncertainties in the model parameters. Slant-path attenuation was also measured with the radiometer using the Sun as a source of radiation. Over 30 dB of attenuation dynamic range was possible with this technique. Sun-beacon measurements were used to test model predictions.

4 citations


Cites background or methods from "EHF attenuation derived from emissi..."

  • ...For atmospheres with attenuation less than about 10dB, an approximate value of Tmr is often sufficient to provide an acceptable estimate of the attenuation [Allnutt et al., 1994; Brussaard, 1984; Shimabukuro et al., 1984]....

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  • ...This led some researchers to conclude that apparent attenuation determined by equation (5) would underestimate the true attenuation [Zavody, 1974; Ishimaru and Cheung, 1980; Shimabukuro et al., 1984]....

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Proceedings Article
13 May 2015
TL;DR: In this paper, one year of measurements collected at 36° elevation angle in Rome, NY were examined in terms of the attenuation statistics, which were modeled with Monte-Carlo solution of the radiative transfer equation.
Abstract: Slant path brightness temperatures were measured at 72.5 and 82.5 GHz with a multi-channel radiometer. One year of measurements collected at 36° elevation angle in Rome, NY were examined in terms of the attenuation statistics. The radiometric response was modeled with Monte-Carlo solution of the radiative transfer equation. The measured statistics were examined in relation to attenuation prediction models.

2 citations


Cites background from "EHF attenuation derived from emissi..."

  • ...Karhu et al. [9] extended the dynamic range by calibrating Tmr with beacon measurements....

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  • ...On the other hand direct use of equation (2) for higher attenuation becomes unreliable because the usual estimates of Tmr are not sufficiently accurate....

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  • ...Use of equation (2) is much more robust when applied to real atmospheres with appropriate estimates of Tmr [8,9]....

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  • ...It is convenient to express the RTE as 𝐴 = 10 log ( 𝑇𝑚𝑟−2.73 𝑇𝑚𝑟−𝑇𝑏 ), (2) where Tmr is called an effective radiating temperature....

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  • ...Attenuation derived from equation (2) with a Tmr that was a function of TS, PS, and RHS was assumed valid for A 10 dB....

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References
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Journal ArticleDOI
TL;DR: The applicability of such results to conditions of natural rainfall has been thrown in doubt as discussed by the authors, and the results have been found to be affected by the drop-size and velocity of the artificial rains applied.
Abstract: Curiosity concerning the drop-size composition of natural rain has arisen from attempts to measure erodibility and infiltration-capacity by sprinkling small areas of land with artificial rain. The results have been found to be affected by the drop-size and velocity of the artificial rains applied, and the applicability of such results to conditions of natural rainfall has been thrown in doubt.

921 citations

Journal ArticleDOI
TL;DR: A critical survey of the literature is presented and an empirical model of the complex refractive indices for ice and liquid water is constructed from this review.
Abstract: A critical survey of the literature is presented. An empirical model of the complex refractive indices for ice and liquid water is constructed from this review. The model is applicable from -20 degrees C to 0 degrees C for ice and from -20 degrees C to 50 degrees C for water. The spectral interval for which the model applies extends from 2 micro, to several thousand kilometers in wavelength for ice and from 2 micro to several hundred meters in wavelength for water.

595 citations

Journal ArticleDOI
TL;DR: In this paper, a physical model which predicts the shape of water drops falling at terminal velocity in air is presented, based on a balance of the forces which act on a drop falling under gravity in a viscous medium.
Abstract: A physical model which predicts the shape of water drops falling at terminal velocity in air is presented. The model is based on a balance of the forces which act on a drop falling under gravity in a viscous medium. The model was evaluated by numerical techniques and the shape of water drops of radii between 170 and 4000 μ (equivalent to Reynolds numbers between 30 and 4900) was determined. The results of our investigation show that the drop shapes predicted by the model agree well with those experimentally observed in our wind tunnel. Both theory and experiment demonstrate that: 1) drops with radii ≲170 μ are very slightly deformed and can be considered spherical, 2) the shape of drops between about 170 and 500 μ can be closely approximated by an oblate spheroid, 3) drops between about 500 and 2000 μ are deformed into an asymmetric oblate spheroid with an increasingly pronounced flat base, and 4) drops ≳2000 μ develop a concave depression in the base which is more pronounced for larger drop size...

435 citations