Full wave theory of focused pressure fields by bi-concave lenses

The propagation of radio waves through a horizontally stratified and slowly varying ionosphere is governed, in the case of oblique incidence, by a quartic equation (Booker 1938). Ray theory breaks down when two roots of this quartic are equal, for then coupling occurs between the characteristic waves, and full wave theory must be used. This paper is concerned with determining the conditions under which the two roots are equal; it is not concerned with the full wave theory. Values of the plasma frequency, and electron collision frequency, which lead to equal roots, are determined, and are exhibited in a set of curves. A full solution of the ‘Booker’ quartic is also given for a case of special interest. It is pointed out that the electric wave-field is unlikely to become very large in a slowly varying ionosphere, so that, if the ionosphere were irregular, scattering cannot be unduly enhanced by a plasma resonance.

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Generalised full wave theory for energy-dependent collision frequencies

Journal of Atmospheric and Terrestrial Physics ◽

10.1016/s0021-9169(17)30005-3 ◽

1966 ◽

Vol 28 (9) ◽

pp. 839-846 ◽

Cited By ~ 19

Author(s):

D.G. Deeks

Keyword(s):

Wave Theory ◽

Full Wave ◽

Energy Dependent

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A comparison of synthetic seismograms of core phases generated by the full wave theory and by the reflectivity method

Geophysical Journal International ◽

10.1111/j.1365-246x.1980.tb04301.x ◽

1980 ◽

Vol 61 (1) ◽

pp. 21-39 ◽

Cited By ~ 30

Author(s):

G. L. Choy ◽

V. F. Cormier ◽

R. Kind ◽

G. Muller ◽

P. G. Richards

Keyword(s):

Wave Theory ◽

Synthetic Seismograms ◽

Full Wave ◽

Reflectivity Method

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Excitation of nanosecond waves on positive columns

Journal of Plasma Physics ◽

10.1017/s0022377800006735 ◽

1972 ◽

Vol 7 (3) ◽

pp. 403-416 ◽

Cited By ~ 8

Author(s):

B. A. Aničin ◽

V. M. Babovič ◽

K. E. Lonngren

Keyword(s):

Fourier Analysis ◽

Positive Column ◽

Wave Attenuation ◽

Wave Theory ◽

Full Wave ◽

Nanosecond Pulses

Nanosecond pulses are launched, and propagate on a positive column in the form of electron waves. The dispersion of the pulses is studied experimentally, and is found to be in agreement with monochromatic experiments and theory. Apart from wave attenuation, which is observed to depress signals of higher frequencies, Fourier analysis of the received pulses has revealed that the launching mechanism favours frequencies in the vicinity of 1/6ωp A full-wave theory, based on an extension of Goubau's excitation theorem, is derived, and successfully contrasted with experiment.

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