Journal
OPTICS LETTERS
Volume 42, Issue 6, Pages 1097-1100Publisher
OPTICAL SOC AMER
DOI: 10.1364/OL.42.001097
Keywords
-
Categories
Funding
- Universita degli Studi di Padova [CPDA138592]
Ask authors/readers for more resources
Laguerre-Gauss (LG) modes represent an orthonormal basis set of solutions of the paraxial wave equation. LG modes are characterized by two integer parameters n and l that are related to the radial and azimuthal profile of the beam. The physical dimension of the mode is instead determined by the beam waist parameter w(0): only LG modes with the same w0 satisfy the orthogonality relation. Here, we derive the scalar product between two LG modes with different beam waists and show how this result can be exploited to derive different expansions of a generic beam in terms of LG modes. In particular, we apply our results to the recently introduced circular beams by deriving a previously unknown expansion. We finally show how the waist parameter must be chosen in order to optimize such expansion. (C) 2017 Optical Society of America.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available