Abstract

Solar flares trigger an increase in plasma density in the ionosphere including the D region, and cause the absorption of radio waves, especially in high-frequency (HF) ranges, called short-wave fadeout (SWF). To evaluate the SWF duration and absorption statistically, we analyze long-term (36 years) ionosonde data observed by the National Institute of Information and Communications Technology (NICT). The minimum reflection frequency, fmin, is used to detect SWFs from 15-min-resolution ionosonde observations at Kokubunji, Tokyo, from 1981 to 2016. Since fmin varies with local time (LT) and season, we refer to dfmin, which is defined as fmin subtracted by its 27-day running median at the same LT. We find that the occurrence of SWFs detected by three criteria, (i) dfmin ≥ 2.5 MHz, (ii) dfmin ≥ 3.5 MHz, and (iii) blackout, during daytime associated with any flare(s) greater than the C1 class is maximized at local noon and decreases with increasing solar zenith angle. We confirm that the dfmin and duration of SWFs increase with the solar flare class. We estimate the absorption intensity from observations, which is comparable to an empirical relationship obtained from sudden cosmic noise absorption. A generalized empirical relationship for absorption from long-distance circuits shows quantitatively different dependences on solar flare flux, solar zenith angle, and frequency caused by different signal passes compared with that obtained from cosmic noise absorption. From our analysis and the empirical relationships, we estimate the duration of extreme events with occurrence probabilities of once per 10, 100, and 1000 years to be 1.8–3.6, 4.0–6.8, and 7.4–11.9 h, respectively. The longest duration of SWFs of about 12 h is comparable to the solar flare duration derived from an empirical relationship between the solar flare duration and the solar active area for the largest solar active region observed so far.

Highlights

  • Solar flares, one of the biggest explosive phenomena within the solar system, release emissions of various wavelengths from radio waves to gamma rays, and energetic particles over a few minutes to hours (e.g., Fletcher et al 2011)

  • Ionospheric absorption is mainly measured by the following four methods (e.g., Mitra 1970): (a1) the A1 method based on vertical incident pulse reflection, (a2) the A2 method based on cosmic radio noise absorption using an instrument called a riometer, (a3) the A3 method based on an oblique ray path at frequencies over 2 MHz, and (a4) the minimum reflection frequency fmin from vertical incident ionograms

  • To quantitatively measure the short-time variation in fmin owing to a solar flare beyond these local time (LT) and solar activity dependences, we refer to dfmin, which is defined in this study as fmin subtracted by its 27-day running median at the same LT

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Summary

Introduction

One of the biggest explosive phenomena within the solar system, release emissions of various wavelengths from radio waves to gamma rays, and energetic particles over a few minutes to hours (e.g., Fletcher et al 2011). Sato (1975) proposed empirical relationships based on (a4) ionosonde and (a2) SCNA observations during solar flares greater than the C1 class (= 10−6 W/m2 at 1–8 Å band) to estimate fmin and the absorption intensity L as functions of the solar flux F0 [mW/m2], solar zenith angle χ [rad], and frequency f [MHz] as follows: f min(MHz) = 10F01/4 cos1/2 χ , (1)

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