Abstract

A new method of coherent mode decomposition (CMD) is proposed that is based on a Wigner-function representation of Hermite–Gaussian beams. In contrast to the well-known method using the cross spectral density (CSD), it directly determines the mode functions and their weights without solving the eigenvalue problem. This facilitates the CMD of partially coherent light whose Wigner functions (and thus CSDs) are not separable, in which case the conventional CMD requires solving an eigenvalue problem with a large matrix and thus is numerically formidable. An example is shown regarding the CMD of synchrotron radiation, one of the most important applications of the proposed method.

© 2017 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Modal decomposition of partially coherent beams using the ambiguity function

H. Laabs, B. Eppich, and H. Weber
J. Opt. Soc. Am. A 19(3) 497-504 (2002)

Intensity-based modal analysis of partially coherent beams with Hermite–Gaussian modes

F. Gori, M. Santarsiero, R. Borghi, and G. Guattari
Opt. Lett. 23(13) 989-991 (1998)

Intensity-based modal decomposition of optical beams in terms of Hermite–Gaussian functions

Xin Xue, Haiqing Wei, and Andrew G. Kirk
J. Opt. Soc. Am. A 17(6) 1086-1091 (2000)

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 (4)

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 (18)

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