Propagation and dispersion of atmospheric wave packets around a spherical globe

Details Propagation and dispersion of atmospheric wave packets around a spherical globe Propagation and dispersion of atmospheric wave packets around a spherical globe

Apr 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993angeo..11..317d&link_type=abstract

Annales Geophysicae (ISSN 0992-7689), vol. 11, no. 4, p. 317-326.

Physics

2

Earth Atmosphere, Gravity Waves, Lamb Waves, Spheres, Wave Packets, Wave Propagation, Phase Velocity, Traveling Waves, Wave Dispersion

Scientific paper

In this work we investigate the propagation of atmospheric waves in a spherical geometry. The monochromatic wave solution in a spherical atmosphere is found first. The dispersion relations of acoustic-gravity waves and Lamb waves are found to approximate to the well-known results obtained in the flat earth case in a broad region away from the source and its antipode. In the source and its antipodal regions the horizontal phase velocity is found to vary. The spherical geometry mandates the horizontal wavenumber to assume discrete values with a separation equal to the reciprocal of the earth radius. With the monochromatic solutions obtained as a basis, both Lamb wave packets and gravity wave packets in a source-free atmosphere are discussed. By using the well-known Poisson formula the global propagation of a wave packet in a spherical geometry can be described as bouncing of waves between a starting area and its antipodal region. Some comparisons of the theoretical results with observational data, especially those acquired in the aftermath of the eruption of Mount St. Helens, 18 May 1980, are made.

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