Optimum truncation of a Gaussian beam for propagation through atmospheric turbulence
- 20 May 1995
- journal article
- Published by Optica Publishing Group in Applied Optics
- Vol. 34 (15), 2774-2779
- https://doi.org/10.1364/ao.34.002774
Abstract
The mean on-axis far-field (or focal-plane) irradiance of a Gaussian beam that is truncated by a circular aperture in the presence of atmospheric turbulence is considered. In the absence of turbulence, an accurate analytic approximation for the irradiance distribution that is valid within the main central lobe of the beam is presented. Based on this approximation, the mean on-axis far-field irradiance and the corresponding turbulence Strehl ratio for the truncated Gaussian beam are then obtained. By maximization of the on-axis irradiance, the optimum ratio of the beam diameter to the aperture diameter in the presence of turbulence is obtained, and the results for the corresponding maximum on-axis irradiance as a function of the strength of turbulence are presented. In particular, for D/r0 > 1, where D is the aperture diameter and r0 is Fried’s coherence length, optimum truncation of a Gaussian beam and uniform illumination of a circular aperture (where the same total power is uniformly distributed over the aperture) result in the same on-axis irradiance in the presence of uncompensated turbulence.Keywords
This publication has 4 references indexed in Scilit:
- Optimum truncation of a Gaussian beam in the presence of random jitterJournal of the Optical Society of America A, 1995
- Refractive turbulence effects on truncated Gaussian beam heterodyne lidarApplied Optics, 1984
- Turbulence-induced adaptive-optics performance degradation: evaluation in the time domainJournal of the Optical Society of America A, 1984
- Optical Resolution Through a Randomly Inhomogeneous Medium for Very Long and Very Short ExposuresJournal of the Optical Society of America, 1966