Statistics of the point spread function for imaging through turbulence

Mikhail Charnotskii

doi:10.1117/12.884248

9 May 2011 Statistics of the point spread function for imaging through turbulence

Mikhail Charnotskii

Proceedings Volume 8014, Infrared Imaging Systems: Design, Analysis, Modeling, and Testing XXII; 80140W (2011) https://doi.org/10.1117/12.884248
Event: SPIE Defense, Security, and Sensing, 2011, Orlando, Florida, United States

Abstract

We use a rigorous Markov approximation-based propagation model to calculate statistical properties of the instantaneous turbulent Point Spread Function (PSF) for the weak and strong turbulence condition. Long-Term PSF is well known and is currently widely used for the estimates of the optical system performance and simulation of the image distortions caused by turbulence. We discuss some peculiarities of the Long-Term PSF that are related to the specifics of the propagation in turbulence, and are often overlooked in the recent literature. Models for the Short-term PSF have been used since mid-1960's, and were the subject of some recent publications. We review the recently published model and present sample calculations of the Short-term PSF. We calculate the variances of the power in the instantaneous PSF and the Strehl ratio at the average PSF center, and correlation between the total power and the Strehl ratio. This information allows modeling the instantaneous PSF with random width and height. Analysis of the calculation results shows that for the most practical situations random Strehl ratio is a product of two uncorrelated random variables - power and axial directivity.

Citation Download Citation

Mikhail Charnotskii "Statistics of the point spread function for imaging through turbulence", Proc. SPIE 8014, Infrared Imaging Systems: Design, Analysis, Modeling, and Testing XXII, 80140W (9 May 2011); https://doi.org/10.1117/12.884248

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