Mode conversion and refraction error of VLF radio waves propagating in the Earth-ionosphere waveguide, with the Earth's magnetic field included

1972 ◽  
Vol 34 (5) ◽  
pp. 807-816 ◽  
Author(s):  
S Shimakura

The westward drift of the non-dipole part of the earth’s magnetic field and of its secular variation is investigated for the period 1907-45 and the uncertainty of the results discussed. It is found that a real drift exists having an angular velocity which is independent of latitude. For the non-dipole field the rate of drift is 0.18 ± 0-015°/year, that for the secular variation is 0.32 ±0-067°/year. The results are confirmed by a study of harmonic analyses made between 1829 and 1945. The drift is explained as a consequence of the dynamo theory of the origin of the earth’s field. This theory required the outer part of the core to rotate less rapidly than the inner part. As a result of electromagnetic forces the solid mantle of the earth is coupled to the core as a whole, and the outer part of the core therefore travels westward relative to the mantle, carrying the minor features of the field with it.


1984 ◽  
Vol 1 ◽  
pp. 50-65
Author(s):  
William J. Frazier

“Scientific creationists” have created their own version of geology in order to defend their axiomatic insistance on a young Earth. To “prove” the Earth's youth, they cite (among other things) measured decay-rates of Earth's magnetic field and concentrations of elements in seawater. They also state that all plutons are quick frozen, that plutonic igneous rocks bear no relation to modern volcanism, and that all sedimentary rocks must be interpreted in terms of a “global hydrologic singularity,” i.e. Noah's Flood.Having explicitly denied uniformitarianism and embraced catastrophism, “Creationists” renege by using uniformitarian reasoning over and again. They practice “pick & choose” empiricism by citing only those data which seem to support their case. “Creationists” even choose when and if to apply scientific principles, e.g. their use of thermodynamics to “disprove” organic evolution while ignoring thermodynamics' implications for magma cooling and metamorphism.The methods of “Creationism” are clearly intended not to increase knowledge of the Earth but to delude the scientifically unsophisticated. Thus, “Creationism” can hardly be considered a science. Further, its repeated use of fallacious thinking brands “Creationism” as hopelessly illogical and its disingenuous statements and tactics disqualify it from even the ranks of nonempirical epistemological systems.


2021 ◽  
Author(s):  
Beibit Zhumabayev ◽  
Ivan Vassilyev

<p>Analysis of the direction of motion of the vector of Sq-variations of the Earth's magnetic field, depending on the time of day and season of the year, shows that the observed Sq-variation is similar to the magnetic field created by a negatively charged spherical body moving in space. Transformations of the Sq-variation vector from the local coordinate system of the magnetic observatory to the ecliptic coordinate system are performed. A possible connection between the origin of the Sq-variation and the electric dipole moment of quartz molecules oriented towards the center of the Earth during the crystallization of the mineral and causing the electric and dipole magnetic fields of the Earth is considered. A scheme for conducting an experiment that allows us to separate the effects of extraterrestrial and extraterrestrial sources of Sq-variations is proposed.</p>


1982 ◽  
Vol 35 (2) ◽  
pp. 242-254 ◽  
Author(s):  
Carl Tyrén

The Earth's magnetic field has long provided us with a directional reference of almost worldwide usable coverage. This paper examines the use of the magnetic field for ground referenced motion and position measurementsWhere E is the vector representation of an electrical field, v vehicle velocity and B a magnetic field, the electromagnetic law of induction, E = v × B, indicates one possibility for measuring ground speed; the magnetic and electrical fields experienced by vehicle mounted sensors being used to solve the equation for v. This method however only gives the component of v perpendicular to the magnetic field. There are also certain difficulties associated with the measurement of B, which should be only the magnetic field of the Earth at the location of the vehicle, and E, which should be only the electrical field resulting from vehicle motion relative to the magnetic field of the Earth. The main problem appears to be the inseparability of motion dependent and non dependent electrical fields, a problem analogous to that of gravitation-acceleration inseparability for inertial navigation systems. The relative magnitudes of the vehicle-motiondependent E-field, of the order of 10−5 (volt/metre)/(metre/second), and the ever-present and very variable non-motion-dependent E-field between a highly conductive atmospheric layer at an altitude of about 50 km and the surface of the Earth, of some 102 volt/metre, are particularly unfavourable. Another potential basis for a ground-speed measurement system is the heterogeneous character of the intensity of the Earth's magnetic field.


GEODYNAMICS ◽  
2011 ◽  
Vol 2(11)2011 (2(11)) ◽  
pp. 284-286
Author(s):  
V. Semenov ◽  
◽  
J. Vozar ◽  
Yu. P. Sumaruk ◽  
B. Ladanivskyy ◽  
...  

It is known that magnetic poles of the Earth is accelerated and is now being ≈ 50 km/year (Olsen & Mandea, 2007) while the geomagnetic pole (the dipole part), which is computed (fictitious) value, has much less velocity. It is believed that the magnetospheric outer ring currents are held by the dipole part of the Earth’s magnetic field. The low frequency magnetic variations of that source allow determine the current position of the source axis and its corresponding pole which as shown experimentally precesses around the geomagnetic pole.


2021 ◽  
pp. 39-52
Author(s):  
A. N. Dmitriev ◽  
Yu. V. Pakharukov

A variant of the thermoelectric model of the Earth's dipole magnetic field is considered. It is based on geothermoelectric currents present in the planet's core. The currents cyclically change their direction, which leads over time either to warming on the Earth, if their movement is directed towards the Earth's crust, or to cooling, when moving towards the inner core. With each change in the direction of movement of the thermal currents, the poles of the Earth's magnetic field are inverted simultaneously. The inversion process is instantaneous (on the scale of planetary time) and is not the result of a gradual reversal on the 180° Earth's magnetic axis. At the moment of inversions of thermal currents in the core, the total geomagnetic field decreases to the level of 4.6∙10-6 T, which is constantly supported by thermal currents of semi-conducting rocks of the lower mantle. The considered version of the thermoelectric model of the Earth's magnetic field may be promising for studying the magnetic fields of planets in the Solar system.


Author(s):  
William Lowrie

The Earth is surrounded by a magnetic field, which originates inside its molten core, and which for centuries has helped travellers to navigate safely across uncharted regions. The magnetic field protects life on the Earth by acting as a shield against harmful radiation from space, especially from the Sun. ‘The Earth’s magnetic field’ explains that the magnetic field at the Earth’s surface is dominantly that of an inclined dipole. The Sun’s deforming effect on the magnetic field outside the Earth is described, as are the magnetic fields of other planets. The magnetism of rocks forms the basis of palaeomagnetism, which explains how plate tectonics displaced the continents and produced oceanic magnetic anomalies whenever the geomagnetic field reversed polarity.


The study of the polarization of downcoming radio waves has become increasingly important during the last few years. The early theoretical work of Appleton and of Nichols and Schelleng showed that the earth’s magnetic field was likely to influence radio waves profoundly during their passage through the ionized upper regions of the earth’s atmosphere. The upgoing wave entering these regions would be split into two components of opposite senses of polarization, and each component would experience different attenuations and different group velocities during its passage. These views were supported by the experimental work of Appleton and Ratcliffe, who found that downcoming waves of broadcasting frequencies in England were nearly circularly polarized, the sense of polarization being left-handed to an observer looking along the direction of propagation of the wave, which was chosen practically to coincide with the positive direction of the earth’s magnetic field. Appleton and Ratcliffe showed that such a result was to be anticipated, since one of the two downcoming waves (the extraordinary component) would be much more strongly absorbed in the ionized regions than the other, the ordinary component. The essential correctness of these views was strikingly confirmed by Green in Australia, working under conditions almost identical with those of Appleton and Ratcliffe, but receiving downcoming waves travelling against the positive direction of the earth’s field. Green found that the waves received under these conditions were approximately circularly polarized in the right-handed sense. Thus far, experimental work on the subject had been confined to broadcasting frequencies, the frequency change device of Appleton and Barnett being employed in the measurement of the polarizations. Theoretical considerations showed, however, that for short radio waves, of frequencies above the critical gyromagnetic frequency of about 10 7 radians per second, it might be possible to receive both the ordinary and the extraordinary components with comparable intensities. These two components were identified experimentally for the F region by Appleton and Builder, who used the pulse or echo method originally due to Breit and Tuve, at a frequency of 3⋅75 mc./sec. Subsequent intensive examination of the ionosphere by the pulse method on short wave-lengths revealed great complexities. At least four regions capable of reflecting radio waves have been discovered, and each of these regions may give rise to multiple echoes, not only for the reasons given above but also because of multiple reflexions between the ground and each region, and between the regions themselves. For these reasons the pulse method of ionospheric exploration has largely superseded the frequency change method in the last few years, since elaborate harmonic analysis is necessary if the latter method be employed when several downcoming waves are present.


Approximate equations are developed for the reflexion of plane electromagnetic waves from a horizontally stratified anisotropic ionosphere, when the earth’s magnetic field is in an arbitrary direction. Two distinct regions of height arise in the theory, each governed by its respective equations of propagation. For the special case of vertical incidence in an oblique magnetic field when the distribution of electron density is exponential, the equations for the lower region are solved analytically in terms of hypergeometric functions. The equations for the upper region are solved in terms of generalized hypergeometric functions under more general conditions, namely for oblique propagation when the plane of incidence coincides with the magnetic meridian. Explicit expressions in terms of T functions of complex arguments are obtained for the reflexion and transmission coefficients of the lower region, and for the reflexion and conversion coefficients of the upper region. The theory is illustrated numerically by a typical model.


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