Abstract

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.

© 1975 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Improved ray tracing air mass numbers model

Sergey N. Kivalov
Appl. Opt. 46(29) 7091-7098 (2007)

Unique temperature profiles for the atmosphere below an observer from sunset images

William D. Bruton and George W. Kattawar
Appl. Opt. 36(27) 6957-6961 (1997)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Tables (1)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (29)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription