{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:28:30Z","timestamp":1760236110366,"version":"build-2065373602"},"reference-count":34,"publisher":"MDPI AG","issue":"21","license":[{"start":{"date-parts":[[2021,10,21]],"date-time":"2021-10-21T00:00:00Z","timestamp":1634774400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>Based on the results of mathematical modeling, we consider the possibility to estimate the plasma frequency F2 layer maximum of the polar ionosphere (critical frequency, foF2) using frequency-sweeping radiation from a highly elliptical spacecraft orbit in the Arctic zone. Our modeling concerning the energy problem of radio sensing consisted of analyzing wave field parameters, received field strength, and SNR on two radio paths with the distances 1900 and 2500 km along the earth\u2019s surface, with the satellite height varying from 10,000 to 30,000 km. Radio path orientations were selected to be close to the classical limit cases of radio wave propagation in the anisotropic ionospheric plasma: quasi-longitudinal approximation and, to a large extent, the quasi-transversal one for the quiet midday and midnight conditions. As a result of these simulations and following specific spacecraft conditions, working with an optimal probing signal was proposed for the appropriate emission power for the onboard transmitter. In the inverse problem of radio sounding of an ionized media, common mathematical inaccuracy in foF2 calculated from the transionogram, frequency dependence of the probing signals magneto-ionic group delay, was estimated. Considering and founding a possible realization of the method, physical prerequisites are discussed based on the experimental data of radio waves passing the 16,000 km long radio path for Moscow\u2013Antarctica (UAS Vernadsky).<\/jats:p>","DOI":"10.3390\/rs13214225","type":"journal-article","created":{"date-parts":[[2021,10,21]],"date-time":"2021-10-21T23:27:39Z","timestamp":1634858859000},"page":"4225","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Possibilities of Estimating F2 Layer Peak Plasma Frequency Using HF Radiation from High Apogee Satellites over Arctic Region"],"prefix":"10.3390","volume":"13","author":[{"given":"Igor","family":"Krasheninnikov","sequence":"first","affiliation":[{"name":"Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation (IZMIRAN), 108840 Troitsk, Russia"}]},{"given":"Givi","family":"Givishvili","sequence":"additional","affiliation":[{"name":"Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation (IZMIRAN), 108840 Troitsk, Russia"}]}],"member":"1968","published-online":{"date-parts":[[2021,10,21]]},"reference":[{"key":"ref_1","first-page":"1049","article-title":"Radio occultation techniques for probing the ionosphere","volume":"47","author":"Jakowski","year":"2004","journal-title":"Ann. Geophys."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"616","DOI":"10.1002\/2014SW001133","article-title":"Space Weather Observations by GNSS Radio Occultation: From FORMOSAT-3\/COSMIC to FORMOSAT-7\/COSMIC-2","volume":"12","author":"Yue","year":"2014","journal-title":"Space Weather"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"636","DOI":"10.1038\/197636b0","article-title":"Some preliminary results of sounding of the topside of the ionosphere by radio pulses from a satellite","volume":"197","author":"Warren","year":"1963","journal-title":"Nature"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"846","DOI":"10.1007\/BF00175119","article-title":"Topside Sounding of the Earth\u2019s Ionosphere","volume":"8","author":"Chapman","year":"1968","journal-title":"Space Sci. Rev."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"867","DOI":"10.1109\/PROC.1969.7132","article-title":"The development of a series of ionospheric satellites","volume":"57","author":"Florida","year":"1969","journal-title":"Proc. IEEE"},{"key":"ref_6","first-page":"99","article-title":"Prospects of topside sounding","volume":"Volume 2","author":"Liu","year":"1989","journal-title":"WITS Handbook"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"501","DOI":"10.1134\/S0016793217050048","article-title":"Transionospheric radiosounding (Review)","volume":"57","author":"Danilkin","year":"2017","journal-title":"Geomagn. Aeron."},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Bilitza, D., Reinisch, B.W., Radicella, S.M., Pulinets, S., Gulyaeva, T., and Triskova, L. (2006). Improvements of the International Reference Ionosphere model for the topside electron density profile. Radio Sci., 41.","DOI":"10.1029\/2005RS003370"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"916","DOI":"10.1016\/j.asr.2015.05.029","article-title":"Global median model of the F2-layer peak height based on ionospheric radio-occultation and ground-based Digisonde observations","volume":"56","author":"Shubin","year":"2015","journal-title":"Adv. Space Res."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"418","DOI":"10.1002\/2016SW001593","article-title":"International Reference Ionosphere 2016: From ionospheric climate to real-time weather predictions","volume":"15","author":"Bilitza","year":"2017","journal-title":"Space Weather"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1016\/j.jastp.2016.05.008","article-title":"Empirical model of the main ionospheric trough for the nighttime winter conditions","volume":"146","author":"Karpachev","year":"2016","journal-title":"J. Atmos. Sol.-Terr. Phys."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"348","DOI":"10.1134\/S0016793218030064","article-title":"Empirical Model of the Location of the Main Ionospheric Trough","volume":"58","author":"Deminov","year":"2018","journal-title":"Geomagn. Aeron."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"429","DOI":"10.1134\/S0016793219040157","article-title":"Global Dynamic Model of Critical Frequency of the Ionospheric F2 Layer","volume":"59","author":"Shubin","year":"2019","journal-title":"Geomagn. Aeron."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1","DOI":"10.5194\/ars-16-1-2018","article-title":"IRI the International Standard for the Ionosphere","volume":"16","author":"Bilitza","year":"2018","journal-title":"Adv. Radio Sci."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"2635","DOI":"10.1029\/JZ070i011p02635","article-title":"F-layer ionization troughs deduced from Alouette data","volume":"70","author":"Muldrew","year":"1965","journal-title":"J. Geophys. Res. Space Phys."},{"key":"ref_16","first-page":"4","article-title":"Multifrequency surveying of the ionosphere\u2014A new method of global real-time diagnostics of the ionosphere","volume":"32","author":"Givishvili","year":"1994","journal-title":"Kosm. Issled."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"491","DOI":"10.1134\/S0016793212040032","article-title":"Possibilities of radio sounding of the ionosphere in the decameter range on board a geostationary satellite","volume":"52","author":"Givishvili","year":"2012","journal-title":"Geomagn. Aeron."},{"key":"ref_18","unstructured":"Ratcliffe, J.A. (1959). The Magnetoionic Theory and Its Applications to the Ionosphere, Cambridge University Press."},{"key":"ref_19","unstructured":"Davies, K. (1969). Ionospheric Radio Waves, Blaisdell Publishing, Co."},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Kravtsov, Y.A., and Orlov, Y.I. (1990). Geometrical Optics in Inhomogeneous Media, Springer.","DOI":"10.1007\/978-3-642-84031-9"},{"key":"ref_21","unstructured":"Maslin, N.M. (1987). HF Communication: A System Approach, Pitman Publishing."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1017\/S0022377800021188","article-title":"On the relation between phase path, group path and attenuation in a cold absorbing plasma","volume":"19","author":"Bennett","year":"1978","journal-title":"J. Plasma Phys."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1085","DOI":"10.1016\/0032-0633(66)90024-9","article-title":"Collision frequencies and energy transfer electrons","volume":"14","author":"Banks","year":"1966","journal-title":"Planet. Space Sci."},{"key":"ref_24","unstructured":"Reinisch, B. (2007). The Digisonde Portable Sounder\u2014DPS. Technical Manual, University of Massachusetts Lowell Center for Atmospheric Research."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"4013","DOI":"10.1029\/2004RS003123","article-title":"Legendre coding for digital ionosondes","volume":"40","author":"Huang","year":"2005","journal-title":"Radio Sci."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"1252","DOI":"10.1109\/TIM.2011.2174903","article-title":"A novel low-power multifunctional ionospheric radio sounding system","volume":"61","author":"Ming","year":"2012","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"1609","DOI":"10.1029\/RS020i006p01609","article-title":"Advanced sounding: 1. The FMCW alternative","volume":"20","author":"Poole","year":"1985","journal-title":"Radio Sci."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"821","DOI":"10.1023\/B:RAQE.0000028576.51983.9c","article-title":"Chirp Ionosonde and Its Application in the Ionospheric Research","volume":"46","author":"Ivanov","year":"2003","journal-title":"Radiophys. Quantum Electron."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s11141-012-9345-5","article-title":"Cluster structure of artificial ionospheric turbulence according to the data of the radar measurements by the radio-direction finder ionosonde","volume":"55","author":"Vertogradov","year":"2012","journal-title":"Radiophys. Quantum Electron."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1029\/JZ060i004p00395","article-title":"Some results of a sweep-frequency propagation experiment over an 1150-km east-west path","volume":"60","author":"Wieder","year":"1955","journal-title":"J. Geophys. Res. Space Phys."},{"key":"ref_31","first-page":"7016208","article-title":"The Use of the Total Electron Content Measured by Navigation Satellites to Estimate Ionospheric Conditions","volume":"2016","author":"Maltseva","year":"2016","journal-title":"Int. J. Navig. Obs."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"636","DOI":"10.1134\/S001679320705012X","article-title":"Doppler selection of HF radiosignals on long paths","volume":"47","author":"Zalizovskii","year":"2007","journal-title":"Geomagn. Aeron."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"626","DOI":"10.1134\/S0016793216050078","article-title":"Analysis of the wave field mode structure on the Moscow\u2013Akademik Vernadskii Antarctic station superlong path","volume":"56","author":"Krasheninnikov","year":"2016","journal-title":"Geomagn. Aeron."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"767","DOI":"10.1002\/2017RS006256","article-title":"Calculating the absorption of HF radio waves in the ionosphere","volume":"52","author":"Zawdie","year":"2017","journal-title":"Radio Sci."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/13\/21\/4225\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T07:20:24Z","timestamp":1760167224000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/13\/21\/4225"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,10,21]]},"references-count":34,"journal-issue":{"issue":"21","published-online":{"date-parts":[[2021,11]]}},"alternative-id":["rs13214225"],"URL":"https:\/\/doi.org\/10.3390\/rs13214225","relation":{},"ISSN":["2072-4292"],"issn-type":[{"type":"electronic","value":"2072-4292"}],"subject":[],"published":{"date-parts":[[2021,10,21]]}}}