Abstract

The geodesic equation, with dielectric tensor as its metric tensor, can be interpreted as the generalized ray equation, and it was employed for the numerical ray-tracing in optically anisotropic inhomogeneous media. Another form of generalized ray equation is derived from the Fermat’s principle under the assumption that transverse coordinates of rays are expressed as a function of optical axis. The new form of the generalized ray equation is applied to obtain closed-form solutions for ray-tracing in the media. The ray trajectories in specific types of medium are calculated by the closed-form solutions and their results are compared with those obtained by a numerical solution of the geodesic equation. It is shown that the results agree well for numerous types of anisotropic inhomogeneous media.

© 2013 Optical Society of America

PDF Article

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