Transformation of general astigmatic Gaussian beams in a four-dimensional phase space
Chinese Optics Letters, Vol. 4, Issue 5, pp. 255-258 (2006)
Acrobat PDF (119 KB)
Abstract
A phase space model of two-dimensional (2D) Gaussian beam propagation is generalized for three-dimensional (3D) general astigmatic Gaussian beam passing through first-order optical system. The general astigmatic Gaussian beam is represented by a four-dimensional (4D) phase super-ellipsoid that defined by an associated 4*4 real matrix, then the transformation formula of the phase super-ellipsoid of the beam through first-order optical system is derived. In particular, in the phase space framework, the beam propagation factor M2 value is proved to be a ratio of phase area of real beam to ideal beam, and a novel approach for a qualitative examination of the properties of fractional Fourier transform (FRT) for the beam is also provided.
© 2006 Chinese Optics Letters
OCIS Codes
(030.0030) Coherence and statistical optics : Coherence and statistical optics
(070.2590) Fourier optics and signal processing : ABCD transforms
(080.2730) Geometric optics : Matrix methods in paraxial optics
(140.3300) Lasers and laser optics : Laser beam shaping
Citation
Baoxin Chen, "Transformation of general astigmatic Gaussian beams in a four-dimensional phase space," Chin. Opt. Lett. 4, 255-258 (2006)
http://www.opticsinfobase.org/col/abstract.cfm?URI=col-4-5-255
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
Log in to access OSA Member Subscription
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
Log in to access OSA Member Subscription
Related Journal Articles 
- Beam shaping in the fractional Fourier transform domain (JOSAA)
- Generalized matrix-optics description of soft-x-ray lasers (JOSAB)
- Fractional Fourier transforms in two dimensions (JOSAA)
- Effective spatial and angular correlations in beams of any state of spatial coherence and an associated phase-space product (OL)
- Focal shift, optical transfer function, and phase-space representations (JOSAA)
Related Conference Papers
- Cartesian Decomposition of High-Order Bessel Beams: A New Class of Nondiffracting Beams
- Cartesian Decomposition of High-Order Bessel Beams: A New Class of Nondiffracting Beams
- Defining the Degree of General Astigmatism of a General Astigmatic Beam
- Performance Tolerance of Single Zone Flat-Top Beam Shapers
- Comparison of Three Methods to Measure the Coherence Length of a Low Coherence Source
« Previous Article | Next Article »
OSA is a member of 