Abstract

We calculate the elements of the 4 × 4 matrix that completely describes the geometrical optic properties of a planar surface of an anisotropic crystal as an optical instrument. The linear and angular magnification submatrices clearly demonstrate the lack of rotational symmetry about the principal ray. The results also show that the astigmatism produced by the surface has in general, nonorthogonal axes. The calculations apply to crystals of arbitrary symmetry, surfaces of arbitrary orientation, and rays of arbitrary direction. The results are applicable to sound waves as well as light waves. Byproducts of this calculation are the ratio of solid angles of ray vectors inside and outside the crystals, as well as the demagnification of a source volume. These factors are combined to relate the ratio of scattered to incident power outside the crystal to the corresponding ratio inside the crystal for a general scattering experiment such as Raman or Brillouin scattering.

© 1976 Optical Society of America

Full Article  |  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

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

Figures (6)

You do not have subscription access to this journal. Figure files 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 (126)

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