Propagation law for Hermite- and Laguerre-Gaussian beams in first-order optical systems

Martin J. Bastiaans; Tatiana Alieva

doi:10.1117/12.667928

20 January 2006 Propagation law for Hermite- and Laguerre-Gaussian beams in first-order optical systems

Martin J. Bastiaans, Tatiana Alieva

Proceedings Volume 6027, ICO20: Optical Information Processing; 602711 (2006) https://doi.org/10.1117/12.667928
Event: ICO20:Optical Devices and Instruments, 2005, Changchun, China

Abstract

Starting from Hermite-Gaussian beams, we generate a general class of rotationally symmetric beams. These beams are Laguerre-Gaussian beams, parameterized by two parameters h and g, representing the curvature and the width of the beam, respectively. The Wigner distribution of each member of this class is readily derived from the Wigner distribution of the Hermite-Gaussian beam from which it is generated. If these Laguerre-Gaussian beams propagate through an isotropic abcd-system, they remain in their class, while the propagation of the complex beam parameter h ± ig satisfies the well-known abcd-law.

Citation Download Citation

Martin J. Bastiaans and Tatiana Alieva "Propagation law for Hermite- and Laguerre-Gaussian beams in first-order optical systems", Proc. SPIE 6027, ICO20: Optical Information Processing, 602711 (20 January 2006); https://doi.org/10.1117/12.667928

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available