Abstract

The recently developed coherence theory of stable laser resonators is applied to an ideal plane-parallel Fabry–Perot resonator. We make use of an explicit, integral-type, biorthogonal expansion of the exact, non-Hermitian, scalar propagation kernel. The resonator admits various spatially partially coherent modes because of the degeneracy of the conventional transverse modes. The spatial second-order modes of the Fabry–Perot resonator containing only homogeneous plane waves correspond to an eigenvalue of unity, and several types of such partially coherent modes are identified. These include the diagonal superpositions of the coherent Fox–Li modes and the general expressions for the cross-spectral densities associated with the propagation-invariant modes and the self-imaging modes. Some special cases are analyzed as illustrations.

© 1994 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 (7)

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 (52)

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

Metrics

You do not have subscription access to this journal. Article level metrics 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