New solutions of the refraction integral

Details New solutions of the refraction integral New solutions of the refraction integral

Jun 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975josa...65..676w&link_type=abstract

Optical Society of America, Journal, vol. 65, June 1975, p. 676-678.

Physics

Optics

2

Atmospheric Optics, Atmospheric Refraction, Radio Scattering, Refracted Waves, Short Wave Radio Transmission, Astronomical Observatories, Earth Atmosphere, Integral Equations

Scientific paper

In a spherically symmetric inhomogeneous system, certain relations between refractive index and distance from the center of symmetry give closed solutions in elementary functions of the refraction integral. A careful formulation of the fundamental equations reveals that all such solutions reduce to special cases of one of eight standard forms, and that the theory of plane-parallel systems is mathematically identical. One special case gives a better representation of the earth's atmosphere than the traditionally used hypotheses of Cassini and Simpson.

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