Re-radiation of VLF radio waves from mountain ranges

VLF signals transmitted from Hawaii, Japan and Australia (NPM, NDT, NWC) and scattered from large mountain ranges such as the Andes or Rockies are monitored in New Zealand in the presence of the much larger direct signals. Measurements of the amplitudes of these indirect signals are reported in the range 0.l-2.0μVm⁻¹.Sudden changes in the refractive index along the path, such as those caused by abrupt changes in ground conductivity, are shown to give rise to reflected amplitudes much smaller than those measured. However, the measured amplitudes are found to be comparable with reasonable estimates of the re-radiation from typical surface currents induced by the incident wave in mountains of suitable height, ground conductivity and steepness.     

The diffraction of VLF radio waves by the Antarctic ice cap

Measurements of the amplitude and phase of VLF radio signals from the Omega transmitters on La Reunion Island and in Argentina have been made on routine Antarctic re-supply nights from Christchurch, New Zealand. It has been found that when the propagation paths to the transmitters cross the Antarctic ice cap, the direct path signals are very rapidly attenuated below the receiver noise level, the dominant signal source then being provided by the radio waves diffracting around the edge of the ice cap. These results have been made possible by the simultaneous use of the phase and amplitude data in a synthetic aperture antenna type analysis.     

Direction of arrival of radio waves reflected from the E-region

A simple system for measuring the direction of arrival of continuous high frequency radio waves reflected obliquely from the ionosphere is described. Results obtained over a near vertical path are used to evaluate changes in the electron density gradients (tilts) in the E-region. Wave interference on the transmission due to multiple hop or ground wave propagation is discussed.     

Standing waves in VLF transmissions produced by geographical discontinuities

It has generally been accepted that the fields constituting the waveguide modes reflected from natural discontinuities in the lower boundary of the earth-ionosphere waveguide have a negligible amplitude compared to the fields constituting the incident modes at VLF (Kirchoff's approximation). Recent measurements, in the region of the South Island of New Zealand, show cases where such reflections play a significant role in the determination of VLF field strength and phase.     

The angular distribution of radio waves partially reflected from the lower ionosphere

Measurements of radio waves partially reflected from the D-region made using two antennae of very different beamwidth are reported. The arrays are composed of 40 and 4 dipoles respectively. It is shown that the gain of the larger array over the smaller is often variable—both in height and time. These results can be used to estimate the off-vertical angles from which significant energy is returned. For altitudes less than 80 km angles less than 10° seem to be usual but at higher altitudes the angles increase to values of the order of 15°–20°. Other important properties of the echoes, such as the probability distribution of the amplitude were also measured. The results are discussed with particular reference to the differential absorption method of measuring electron densities and also to the nature of the irregularities responsible for the partial reflections.     

Modelling of transequatorial propagation of HF radio waves

In the geometrical optics approximation, a synthesis oblique ionogram of ionospheric and magnetospheric HF radio wave signals propagating between magnetic conjugate points has been carried out. The magnetospheric HF propagation is considered for a model of the waveguide formed by field-aligned irregularities with depleted electron density. The characteristic peculiarities of the magnetospheric mode have been determined: (i) strong disperion of the group delay with a frequency at 14–18 MHz, from − 1.4 to 0.6 ms/MHz for magnetically conjugate points at geomagnetic latitudes φ = 30°, 40° and 50°, respectively, (ii) spreading ∼ 1–2 ms, and (iii) a possibility of propagation between magnetic conjugates points at moderately low geomagnetic latitudes φ₀ ∼ 30–40° at frequencies exceeding 1.5 times the maximum usable frequency (MUF) of multi-hop ionospheric propagation.     

Ionospheric modification by high power radio waves

Powerful, high frequency (HF) radio waves can be used to temporarily modify the ionosphere. These controlled, active experiments have proven useful both for studies of the natural upper atmosphere through observations of ionospheric response to HF induced perturbations, and for basic physics investigations exploiting the ionosphere as a large, natural plasma laboratory-without-walls. This experimental diversity has attracted the attention and participation of physicists from a wide range of disciplines. As a result, HF ionospheric modification research continues to be strongly motivated by its many applications in the fields of aeronomy, space physics, plasma physics, and telecommunications science.     

Measuring ionospheric movements using totally reflected radio waves

It is shown that for radio waves of a particular frequency reflected totally from the ionosphere the effect of refraction as well as reflection can be simulated by an effective reflecting surface. This mirrorlike surface will give the correct angle of arrival and Doppler shift for all radars operating at this frequency. It is theoretically possible for the effective reflecting surface to be folded back on itself, but this is unlikely except for F-region echoes refracted by sporadic E-clouds. If the surface is not folded and exists everywhere, it is always possible to describe its motion and change in terms of wave undulations. Experimental data for F-region echoes show that these wave undulations are very dispersive. However, the matching between the best fitting model and the experimental data is worse than expected for reasons we do not understand.     

A simple theoretical model of the diffraction of VLF electromagnetic waves by the Antarctic icecap

The Antarctic continent has been modelled as a spherical cap whose pole is coincident with that of the South Pole, which totally absorbs VLF radio waves attempting to propagate over it. The propagation of Omega navigation signals around this model icecap has then been computed using Kirchhoff diffraction theory. Spherical caps extending to 66.5 and 75.5°S have been found to accurately model the signals from Omega La Reunion and Argentina, respectively, received on flights between Christchurch, New Zealand and Scott Base in Antarctica, up to the boundary of the theoretical icecap. These model icecaps were found to be good fits to the boundary of the Antarctic continent, when measured at the 1–1.5 km contour of ice thickness, in the region where the VLF waves diffracted around the icecap. The good agreement obtained between the experimental field strength data and those computed theoretically, using only simple diffraction theory, suggests that coastal refraction plays at most only a secondary role in circumpolar propagation.     

General formulae for absorption of radio waves in the ionosphere

The relationship between group path, phase path and absorption of radio waves is discussed and new approximations relating these quantities are presented. The new relationships include dependence on the angle between the wave normal and magnetic field directions and so, in contrast to other approximations they are not restricted to quasi-longitudinal or quasi-transverse situations. For deviative absorption it is found that the ordinary mode quasi-transverse approximation introduces errors of less than 5% except in the case of purely longitudinal propagation. For non-deviative absorption, use of the quasi-longitudinal approximation can introduce significant errors which particularly affect the determination of latitudinal variations in absorption.     

Iterative methods for treating the multiple scattering of radio waves

An iterative method is developed for treating multiple scattering in an extended random medium. The basis of the method is to use the single-scatter theory to derive a recurrence relation for the complex field. Since no restriction is placed on the incremental layer thickness, the single scatter theory can always be applied in this manner, subject only to the narrow-angle-scatter restriction. Indeed, in the differential limit of zero layer thickness, the recurrence relation, which is a difference equation, converges to the parabolic wave equation.The recurrence relation for the complex field is then used in conjunction with the Markov assumption to derive recurrence relations for the complex field moments of all orders. The recurrence relations for the general complex field moments converge to well known differential equations in the limit of zero layer thickness. The result is derived without constraints on the stastics of the index of refraction fluctuations. Moreover, the method of development suggests that the conditions for narrow-angle scattering alone are sufficient to guarantee the validity of the Markov approximation.Finally, a local phase-screen approximation is used to develop alternative recurrence relations for the complex field and the general complex field moments that are conceptually simpler and more efficient for numerical computation. Throughout the development, a formulation is used that retains an explicit dependence on the propagation angles relative to an arbituary but fixed co-ordinate system.     

Temperatures in the plasmasphere determined from VLF observations

Satellite and ground-based VLF recordings were made at SANAE, Antarctica from 1976 to 1979. In this paper we combine ground and satellite observations to determine temperatures in the plasmasphere. Scale heights in the plasmasphere are determined at high altitudes using a diffusive equilibrium model and measurements of equatorial electron densities and densities at about 3000 km. The temperatures corresponding to these scale heights show a gradual increase with increasing L-value and sharp increases of about 2000 K just inside the plasmapause.     

Frequency dependence of anomalous absorption caused by high power radio waves

High power radio waves can modify the ionospheric electron density distribution to produce field aligned plasma irregularities which give rise to the anomalous absorption of HF radio waves. The coefficient of anomalous absorption of a vertically propagated radio wave due to scattering from field aligned irregularities has been calculated, taking into account the effects of the geomagnetic field on electron motions. These results are compared with those of other theoretical models. Furthermore, the scale lengths of field aligned irregularities produced by a high power radio wave during recent high latitude modification experiments have been determined from measurements of the anomalous absorption by means of this theory.     

A simple sounder to measure the properties of ionospherically reflected radio waves

A system which measures the direction of arrival, amplitude, group path and phase path of high frequency radio waves reflected from the ionosphere is described. A CW double sideband modulated signal was used and the measurements were made over a slightly oblique path. Comparisons between the group height determined using this ionospheric sounder and an ionosonde located near the midpoint of the transmission are given and results of fast fluctuations in the measurements are presented.     

Non-linear interaction of decametre radio waves at close frequencies in oblique propagation

Observations of ionospherically reflected signals received from a powerful modifying and a weak pulsed diagnostic transmitter over the same oblique path are described. The observed changes in signal strength and in angle of arrival of the diagnostic wave, caused by the modifying wave, are interpreted in terms of the stratification resulting from the standing wave structure of the modifying wave; the effects of this stratification are calculated numerically by solving a model problem.     

The effect of wind velocity on the amplitude scintillations of millimetre radio waves

The effect of transverse wind velocity on the amplitude scintillations of millimetre radio waves is studied. Scintillation data obtained on two line-of-sight microwave links at 36 GHz and 110 GHz on a common 4.1 km path are used to estimate the wind velocity perpendicular to the propagation path. The estimated wind velocity is within 20% of the value obtained from direct measurements using a conventional anemometer.     

Reflection of electromagnetic waves by density gradients in a magnetised plasma

The reflection of electromagnetic waves by density gradients in a plasma with a magnetic field derived from a scalar potential is studied. Conditions are found for reflection at grazing incidence at a surface S containing field lines. No restriction is placed on the angle between the wave-normal and the field, and account is taken of the curvature of the surface and the anisotropy of the medium. Particular reference is made to whistler-mode waves in the magnetosphere. The minimum electron density enhancement needed for reflection is calculated. Guidance by small-scale irregularities and ‘super whistlers’ (whistlers with upper cut-off above one-half the equatorial electron cyclotron frequency) are briefly discussed.     

VLF scattering from a column of ionization in the Earth-ionosphere waveguide

Choosing a highly idealized model, we analyze the scattering of VLF radio waves from a thin vertical column of ionization within the Earth-ionosphere waveguide. It is shown that mode conversion is produced if the column is limited in height and/or if the ionization is a function of height. However, the relative higher-mode content would be small in some situations such as in the case of the ionization produced by a cloud-to-ionosphere lightning discharge.     

Diagnostics of the lower ionosphere by the method of resonance scattering of radio waves

Results are presented on measurements of lower ionosphere parameters (electron concentration, coefficient of ambipolar diffusion, etc.) by the method of resonance scattering of radio waves by periodic artificial irregularities. The method of resonance scattering is based on the generation of periodic irregularities in the ionospheric plasma by powerful radio emission and investigation of the characteristics of the back scattering of diagnostic radio waves by these irregularities.     

Doppler shift pulsations on whistler mode signals from a VLF transmitter

Whistler mode signals from the NAA transmitter (24 kHz) received at Faraday, Antarctica are processed to obtain the Doppler shift at a much higher time resolution than has previously been possible. This has allowed the observation of pulsations of about 13 mHz frequency which are believed to be associated with hydromagnetic waves in the magnetosphere. The pulsations are observed separately on signals with a number of discrete group delay features that can be interpreted as individual whistler ducts. Using the measured pulsation phase over the array of ducts the phase velocity and wave normal direction of the hydromagnetic wave in the equatorial plane are estimated. The direction of propagation is consistent with a source on the dayside magnetopause.The association between whistler mode Doppler shifts and hydromagnetic waves has been reported before but not, as far as we are aware, using an experimental technique that allows measurements on individual ducts in order to determine the direction of propagation of the hydromagnetic wave.