## Abstract

The information capacity of an image in the atmosphere, ocean, or biological media does not grow indefinitely with increasing light power but has well defined limits. Here, the exact effects of the propagation of light in random inhomogeneous media are elucidated and upper bounds to the capacity of image pixels to represent a corresponding point in the object are described.

© 2013 Optical Society of America

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### Equations (4)

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(1)
$${F}_{\gamma}(\gamma )=1-{Q}_{1}(\sqrt{2r},\sqrt{2(1+r)r\gamma /\overline{\gamma}}),$$
(2)
$${F}_{\gamma}(\gamma )=Q(-{\mathrm{log}}_{e}(\gamma /{\gamma}_{0})/{\sigma}_{\beta}+{\sigma}_{\beta}/2),$$
(3)
$${\gamma}_{\epsilon}\le \overline{\gamma}/2(1+r){[\sqrt{-2\text{\hspace{0.17em}}{\mathrm{log}}_{e}(1-\epsilon )}+\sqrt{2r}]}^{2}.$$
(4)
$${\gamma}_{\epsilon}\le {\gamma}_{0}\text{\hspace{0.17em}}\mathrm{exp}[-{\sigma}_{\beta}^{2}/2+\sqrt{2{\sigma}_{\beta}^{2}\text{\hspace{0.17em}}{\mathrm{log}}_{e}(2\epsilon )}].$$