Power spectrum analysis of ionospheric fluctuations with the Murchison Widefield Array

Low-frequency, wide field-of-view (FOV) radio telescopes such as the Murchison Widefield Array (MWA) enable the ionosphere to be sampled at high spatial completeness. We present the results of the first power spectrum analysis of ionospheric fluctuations in MWA data, where we examined the position offsets of radio sources appearing in two data sets. The refractive shifts in the positions of celestial sources are proportional to spatial gradients in the electron column density transverse to the line of sight. These can be used to probe plasma structures and waves in the ionosphere. The regional (10–100 km) scales probed by the MWA, determined by the size of its FOV and the spatial density of radio sources (typically thousands in a single FOV), complement the global (100–1000 km) scales of GPS studies and local (0.01–1 km) scales of radar scattering measurements. Our data exhibit a range of complex structures and waves. Some fluctuations have the characteristics of traveling ionospheric disturbances, while others take the form of narrow, slowly drifting bands aligned along the Earth's magnetic field.

[1]  A. R. Whitney,et al.  The Murchison Widefield Array: The Square Kilometre Array Precursor at Low Radio Frequencies , 2012, Publications of the Astronomical Society of Australia.

[2]  Lou‐Chuang Lee,et al.  Strong scintillations in astrophysics. III - The fluctuations in intensity , 1975 .

[3]  C. Mercier Observations of atmospheric gravity waves by radiointerferometry , 1986 .

[4]  G. Swenson,et al.  Interferometry and Synthesis in Radio Astronomy , 1986 .

[5]  D. Siingh,et al.  State studies of Earth's plasmasphere: A review , 2011 .

[6]  Antony Hewish,et al.  The diffraction of radio waves in passing through a phase-changing ionosphere , 1951, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[7]  Jann‐Yenq Liu,et al.  Ionospheric disturbances triggered by the 11 March 2011 M9.0 Tohoku earthquake , 2011 .

[8]  C. Park,et al.  Penetration of thundercloud electric fields into the ionosphere and magnetosphere: 1. Middle and subauroral latitudes , 1973 .

[9]  Bodo W. Reinisch,et al.  New techniques in ground‐based ionospheric sounding and studies , 1986 .

[10]  Chung G. Park,et al.  Westward electric fields as the cause of nighttime enhancements in electron concentrations in midlatitude F region , 1971 .

[11]  R. J. Thomson The formation and lifetime of whistler ducts , 1978 .

[12]  Robert W. Schunk,et al.  Ionospheres by Robert Schunk , 2009 .

[13]  E. Greisen,et al.  The 74 MHz System on the Very Large Array , 2007, 0704.3088.

[14]  C. Rino,et al.  On the application of phase screen models to the interpretation of ionospheric scintillation data , 1982 .

[15]  A. Kolmogorov,et al.  The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers , 1991, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[16]  R. Price Travelling Disturbances in the Ionosphere , 1953, Nature.

[17]  A. Kolmogorov The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers , 1991, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[18]  Namir E. Kassim,et al.  The Long Wavelength Array , 2009, Proceedings of the IEEE.

[19]  A. Jacobson,et al.  Wavenumber-resolved observations of ionospheric waves using the very large array radiotelescope , 1992 .

[20]  Anthea J. Coster,et al.  Automated GPS processing for global total electron content data , 2006 .

[21]  E. Lenc,et al.  Understanding instrumental Stokes leakage in Murchison Widefield Array polarimetry , 2014, 1412.4466.

[22]  Roger Cappallo,et al.  The Murchison Widefield Array Commissioning Survey: A Low-Frequency Catalogue of 14 110 Compact Radio Sources over 6 100 Square Degrees , 2014, Publications of the Astronomical Society of Australia.

[23]  S. Markoff,et al.  LOFAR - low frequency array , 2006 .

[24]  Farzad Kamalabadi,et al.  Three‐dimensional tomography of ionospheric variability using a dense GPS receiver array , 2008 .

[25]  J. P. Hamaker,et al.  Atmospheric delay fluctuations with scale sizes greater than one kilometer, observed with a radio interferometer array , 1978 .

[26]  Andrew Hopkins,et al.  Compact continuum source finding for next generation radio surveys , 2012, 1202.4500.

[27]  Guanghui Wu,et al.  Observations of inner plasmasphere irregularities with a satellite‐beacon radio‐interferometer array , 1996 .

[28]  Namir E. Kassim,et al.  Subarcminute resolution imaging of radio sources at 74 MHz with the very large array , 1993 .

[29]  C. O. Hines,et al.  INTERNAL ATMOSPHERIC GRAVITY WAVES AT IONOSPHERIC HEIGHTS , 1960 .

[30]  A. Jacobson,et al.  A method for characterizing transient ionospheric disturbances using a large radiotelescope array , 1992 .

[31]  K. Shiokawa,et al.  Observation of nighttime medium-scale travelling ionospheric disturbances by two 630-nm airglow imagers near the auroral zone , 2013 .

[32]  A. Cohen,et al.  PROBING FINE-SCALE IONOSPHERIC STRUCTURE WITH THE VERY LARGE ARRAY RADIO TELESCOPE , 2009, 0905.4501.

[33]  Massimo Materassi,et al.  Scintillation modeling using in situ data , 2007 .

[34]  Carolus J. Schrijver,et al.  Heliophysics: Evolving Solar Activity and the Climates of Space and Earth , 2010 .

[35]  H. Rottgering,et al.  Ionospheric calibration of low frequency radio interferometric observations using the peeling scheme I. Method description and first results , 2009, 0904.3975.

[36]  E. F. Arias,et al.  THE SECOND REALIZATION OF THE INTERNATIONAL CELESTIAL REFERENCE FRAME BY VERY LONG BASELINE INTERFEROMETRY , 2015 .

[37]  Jan Laštovička,et al.  Forcing of the ionosphere by waves from below , 2006 .

[38]  M. Hayakawa,et al.  Characteristics of mid‐latitude whistler ducts as deduced from ground‐based measurements , 1996 .

[39]  A. Readhead,et al.  Image Formation by Self-Calibration in Radio Astronomy , 1984 .

[40]  Cathryn M. Trott,et al.  Real‐time imaging of density ducts between the plasmasphere and ionosphere , 2015, 1504.06470.

[41]  A. Walker Formation of whistler ducts , 1978 .

[42]  P. Bernhardt,et al.  Protonospheric‐ionospheric modeling of VLF ducts , 1977 .

[43]  A. Jacobson,et al.  Radio interferometer measurements of plasmasphere density structures during geomagnetic storms , 1997 .

[44]  Strong scintillations in astrophysics. I - The Markov approximation, its validity and application to angular broadening , 1975 .

[45]  H. Intema,et al.  Very large array observations of disturbed ion flow from the plasmasphere to the nighttime ionosphere , 2012, 1205.1426.

[46]  J. Bougeret Some effects produced by the ionosphere on radio interferometry - Fluctuations in apparent source position and image distortion , 1981 .

[47]  James J. Condon,et al.  ERRORS IN ELLIPTICAL GAUSSIAN FITS , 1997 .

[48]  M. Nicolls,et al.  Optical observations of the development of secondary instabilities on the eastern wall of an equatorial plasma bubble , 2006 .

[49]  Alan E. E. Rogers,et al.  The Murchison Widefield Array: Design Overview , 2009, Proceedings of the IEEE.

[50]  C. Hines INTERNAL ATMOSPHERIC GRAVITY WAVES AT IONOSPHERIC HEIGHTS , 1960 .

[51]  Alan E. E. Rogers,et al.  Science with the Murchison Widefield Array , 2012, Publications of the Astronomical Society of Australia.

[52]  K. Yeh,et al.  Acoustic‐gravity waves in the upper atmosphere , 1974 .

[53]  J. Roerdink,et al.  A morphological algorithm for improving radio-frequency interference detection , 2012, 1201.3364.

[54]  T. Lazio,et al.  A new technique for spectral analysis of ionospheric TEC fluctuations observed with the Very Large Array VHF system: From QP echoes to MSTIDs , 2012, 1201.3874.

[55]  Libo Liu,et al.  Variations of electron density based on long‐term incoherent scatter radar and ionosonde measurements over Millstone Hill , 2005 .

[56]  W. C. Erickson,et al.  Observations of electron density irregularities in the plasmasphere using the VLA radio interferometer. , 1993 .

[57]  Roger J. Cappallo,et al.  Real-Time Calibration of the Murchison Widefield Array , 2008, IEEE Journal of Selected Topics in Signal Processing.

[58]  Richard T. Schilizzi,et al.  The Square Kilometre Array , 2009, Proceedings of the IEEE.

[59]  J. Curran,et al.  SUMSS: a wide-field radio imaging survey of the southern sky – II. The source catalogue , 2003, astro-ph/0303188.

[60]  T. Lazio,et al.  Simultaneous radio interferometer and optical observations of ionospheric structure at the Very Large Array , 2009 .

[61]  J. Röttger Drifting patches of equatorial spread-F irregularities -experimental support for the spatial resonance mechanism in the ionosphere , 1978 .

[62]  T. Murphy,et al.  wsclean: an implementation of a fast, generic wide-field imager for radio astronomy , 2014, 1407.1943.

[63]  E. Greisen,et al.  Representations of celestial coordinates in FITS , 2002, astro-ph/0207413.

[64]  T. Georges HF Doppler studies of traveling ionospheric disturbances , 1968 .

[65]  T. J. W. Lazio,et al.  High‐precision measurements of ionospheric TEC gradients with the Very Large Array VHF system , 2012, 1201.3872.

[66]  P. Bernhardt,et al.  New satellite‐based systems for ionospheric tomography and scintillation region imaging , 2006 .

[67]  K. Davies,et al.  Ionospheric winds in the F-region and their effects on the limiting periods of gravity waves , 1973 .

[68]  W. Cotton,et al.  Climatology of midlatitude ionospheric disturbances from the Very Large Array Low‐frequency Sky Survey , 2012, 1209.1030.

[69]  Robert D. Hunsucker,et al.  Atmospheric gravity waves generated in the high‐latitude ionosphere: A review , 1982 .

[70]  B. Rickett,et al.  Interstellar Scattering and Scintillation of Radio Waves , 1977 .

[71]  J. G. Bolton,et al.  Galactic Radiation at Radio Frequencies. VI. Low Altitude Scintillations of the Discrete Sources , 1953 .

[72]  R. Ulrich,et al.  Atmospheric Gravity Waves , 2003 .

[73]  P. Amayenc,et al.  Neutral winds deduced from incoherent scatter observations and their theoretical interpretation , 1972 .

[74]  Anthony J. Mannucci,et al.  A global mapping technique for GPS‐derived ionospheric total electron content measurements , 1998 .

[75]  G. Munro Travelling disturbances in the ionosphere , 1950, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[76]  K. Hocke,et al.  A review of atmospheric gravity waves and travelling ionospheric disturbances: 1982-1995 , 1996 .

[77]  M. Larsen,et al.  Imaging coherent scatter radar, incoherent scatter radar, and optical observations of quasiperiodic structures associated with sporadic E layers , 2007 .

[78]  Douglas E. Koch,et al.  Ionospheric applications of the scintillation and tomography receiver in space (CITRIS) mission when used with the DORIS radio beacon network , 2006 .

[79]  G. Bernardi,et al.  Subtraction of point sources from interferometric radio images through an algebraic forward modelling scheme , 2010, 1012.3719.

[80]  Advanced spectral analysis of ionospheric waves observed with sparse arrays , 2014, 1402.0854.

[81]  Rainer Beck,et al.  Square kilometre array , 2010, Scholarpedia.

[82]  J. Högbom,et al.  APERTURE SYNTHESIS WITH A NON-REGULAR DISTRIBUTION OF INTERFEROMETER BASELINES. Commentary , 1974 .

[83]  J. J. Angerami Whistler duct properties deduced from vlf observations made with the OGO 3 satellite near the magnetic equator , 1970 .

[84]  A. Jacobson,et al.  Improved analysis of plasmasphere motion using the VLA radio interferometer , 1997 .

[85]  Douglas E. Koch,et al.  Using TEC and radio scintillation data from the CITRIS radio beacon receiver to study low and midlatitude ionospheric irregularities , 2011 .

[86]  Richard A. Perley,et al.  Imaging with Non-Coplanar Arrays , 1999 .

[87]  C. Park Whistler observations of the interchange of ionization between the ionosphere and the protonosphere , 1970 .

[88]  R. Denton,et al.  Plasmaspheric Density Structures and Dynamics: Properties Observed by the CLUSTER and IMAGE Missions , 2009 .

[89]  E. Greisen,et al.  The NRAO VLA Sky Survey , 1996 .

[90]  J. Helmboldt Drift‐scan imaging of traveling ionospheric disturbances with the Very Large Array , 2014 .

[91]  Robert W. Schunk,et al.  Ionospheres : physics, plasma physics, and chemistry , 2000 .

[92]  W. E. Gordon,et al.  Incoherent Scattering of Radio Waves by Free Electrons with Applications to Space Exploration by Radar , 1958, Proceedings of the IRE.