## Abstract

A new instrument to measure the point spread function (PSF) in the ocean has provided the opportunity for direct comparison between theoretical predictions and experimental measurement. Theoretical predictions are derived from small angle scattering theory using a simple algebraic fit to the single scattering phase function. The resulting predictions for the PSF are found to match the experimental measurements over a wide range of angles and optical depths.

© 1991 Optical Society of America

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### Equations (8)

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(1)
$$\begin{array}{l}F(\psi ,R)=2\pi \int {J}_{0}(2\pi \theta \psi )f(\theta ,R)\theta d\theta ,\\ F(\theta ,R)=2\pi \int {J}_{0}(2\pi \theta \psi )F(\psi ,R)\psi d\psi ,\end{array}$$
(2)
$$F(\psi ,R)=\text{exp}\left[-{\int}_{0}^{R}c(r)dr+{\int}_{0}^{R}\sum \left(\frac{\psi r}{R},r\right)dr\right],$$
(3)
$$\mathrm{\Sigma}(\psi ,r)=b\xb7S(\psi ),$$
(4)
$$S(\psi )=2\pi \int {J}_{0}(2\pi \theta \psi )s(\theta )\theta d\theta .$$
(5)
$$F(\psi ,R)=\text{exp}\left[-cR+b{\int}_{0}^{R}S\left(\frac{\psi r}{R}\right)dr\right].$$
(6)
$$s(\theta )=\frac{{\theta}_{0}}{2\pi {({\theta}_{0}^{2}+{\theta}^{2})}^{3/2}},$$
(7)
$$S(\psi )=\text{exp}(-2\pi {\theta}_{0}\psi ),$$
(8)
$$F(\psi ,R)=\text{exp}\left\{-cR+bR\left[\frac{1-\text{exp}(-2\pi {\theta}_{0}\psi )}{2\pi {\theta}_{0}\psi}\right]\right\},$$