PMSE strength during enhanced D region electron densities: Faraday rotation and absorption effects at VHF frequencies

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Highlights

  • PMSE strength during enhanced D region electron densities.

  • Faraday rotation and absorption effects on PMSE strength.

  • D and E region electron density measurements from coherent echoes at high latitudes.

Abstract

In this paper we study the effects of absorption and Faraday rotation on measurements of polar mesosphere summer echoes (PMSE). We found that such effects can produce significant reduction of signal-to-noise ratio (SNR) when the D region electron densities (Ne) are enhanced, and VHF radar systems with linearly polarized antennas are used. In particular we study the expected effects during the strong solar proton event (SPE) of July 2000, also known as the Bastille day flare event. During this event, a strong anti-correlation between the PMSE SNR and the D-region Ne was found over three VHF radar sites at high latitudes: Andøya, Kiruna, and Svalbard. This anti-correlation has been explained (a) in terms of transport effects due to strong electric fields associated to the SPE and (b) due to a limited amount of aerosol particles as compared to the amount of D-region electrons. Our calculations using the Ne profiles used by previous researchers explain most, if not all, of the observed SNR reduction in both time (around the SPE peak) and altitude. This systematic effect, particularly the Faraday rotation, should be recognized and tested, and possibly avoided (e.g., using circular polarization), in future observations during the incoming solar maximum period, to contribute to the understanding of PMSE during enhanced D region Ne.

Introduction

Polar mesosphere summer echoes (PMSE) are extremely strong radar echoes that were first observed with a VHF radar in Poker Flat, Alaska in the late 1970s (e.g., Ecklund and Balsley, 1981). Previously similar echoes, but occurring at mid latitudes, were observed over Lindau, Germany by Czechowsky et al. (1979). Later, Kelley et al. (1987) pointed out that the VHF observations were anomalous. Since then, many different groups have studied these echoes with radars operating in the VHF and UHF frequencies from different locations in the northern and southern polar regions. These radar observations, in combination with in situ rocket measurements, heating experiments, numerical simulations and microphysical modeling of aerosols, have helped to develop a consistent explanation on the generation of these radar echoes. A complete review of the current understanding on PMSE is given by Rapp and Lübken (2004).

Although most of the PMSE features are understood, the anti-correlation between PMSE signal-to-noise ratio (SNR) and the D-region electron density (Ne) during events of strongly enhanced D-region Ne still needs a proper explanation. Such anti-correlation has been observed during the strong solar proton event (SPE) of July 2000, also known as the Bastille day flare event, using three independent VHF radars in the northern polar regions: Andøya (e.g., Rapp et al., 2002), Svalbard (Kubo et al., 2003), and Kiruna (Barabash et al., 2004). Initially it was proposed that Joule heating was the cause for such anti-correlation, but independent observations and calculations have ruled out that explanation (Kubo et al., 2003, Barabash et al., 2004). Furthermore, it was suggested by Rapp et al. (2002) that a limited amount of charged aerosols as compared to the background electron density was the cause for the observed signal reduction. This reasoning rested on results of Cho et al. (1992) showing a strong dependence of the electron diffusivity on the ratio between charged particle densities and ambient electrons. This result has, however, in the meantime been shown to be an artifact caused by unphysical initial conditions used in Cho et al.'s (1992) treatment of electron diffusion in the presence of charged aerosol particles (e.g., Rapp and Lübken, 2003, Appendix B). Hence, at the present stage there is only one remaining hypothesis which is trying to explain the anti-correlation, namely transport effects due to the strong electric fields associated to the SPE (Barabash et al., 2004). In this work, we will not discuss any of these hypotheses, since more observations, including hardware improvements, are needed to support them.

The focus of this work is on the effects that absorption and Faraday rotation could produce on the PMSE measurements performed with the aforementioned VHF radars. All of these three radars operated close to 50-MHz, and all three used linearly polarized antennas for both transmission and reception.

We first summarize the general concepts of absorption and Faraday rotation, with a special emphasis on the effects on VHF radars located at high latitudes. It is important to note that the possible effects of Faraday rotation on high-latitude VHF radars have been already introduced by Kirkwood and Röttger (1995), but we have further extended such analysis to the July 2000 SPE. Then we present the expected effects during normal summer conditions as well as the conditions of the July 2000 SPE. Finally we compared our results with the previous observations and discussed them.

Section snippets

Absorption and Faraday rotation

In this section we summarize the main concepts and formulas of absorption and Faraday rotation derived from magnetoionic theory. The refractive index of the ionosphere is given by the standard Appleton–Hartree formula (e.g., Davies, 1990, Eq. (3.8)). A generalization of this formula was introduced by Sen and Wyller (1960) and later corrected by Manchester (1965) by using more realistic electron collision frequencies. Later Budden (1965) developed an elegant treatment along these lines and was

PMSE effects during normal and enhanced D region electron densities

In this section we present the expected effects in the D and E regions for a VHF linearly polarized radar system located in Andøya, Norway, specifically the ALWIN radar system (until early 2009) and more recently the MAARSY radar (e.g., Latteck et al., 2012), located at 69.30°N, 16.04°E. Fig. 2 shows the measured electron density (top) and the percentage of expected power that would be lost (bottom) in the orthogonal linear polarization during a relative magnetically quiet period on July 1,

Discussion and concluding remarks

In the previous section, we clearly show that for the conditions of the Bastille day event we expect a significant SNR reduction due to both absorption and Faraday rotation. Around 87–90 km the reduction due to absorption is 23dB, while the reduction due to Faraday rotation is more than 6 dB increasing with increasing altitude. These results are in very good agreement with the PMSE results during the July 2000 SPE reported by Rapp et al. (2002) and Kubo et al. (2003). These authors did not

Acknowledgments

J.L.C. thanks the Institute of Atmospheric Physics at the Rostock University, for hosting him as visiting scientist during the development of this work. EISCAT is an international association supported by research organisations in China (CRIRP), Finland (SA), Japan (NIPR and STEL), Norway (NFR), Sweden (VR), and the United Kingdom (NERC).

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    Also at: Meteorologisches Institut München, Ludwig-Maximilians-Universität München, Munich, Germany.

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