New Theoretical Model of the Irradiance Distribution in Water from a Unidirectional Point Source

Abstract

Formulas are presented for calculating the irradiance field, which is formed in a turbid medium with a narrow scattering phase function and homogeneous optical properties when an infinitely narrow light beam passes through it. The calculations are based on a new mathematical model of the stationary radiation field of an omnidirectional point source and relationships enabling one to represent the irradiance distribution in a continuous or modulated light beam through this field. The obtained formulas, in contrast to the previously known ones, permit taking into account the temporal spreading of a pulsed light beam in the sea without a significant decrease in the accuracy of describing its spatial structure.

Breakthrough Underwater Physical Environment Limitations on Optical Information Representations: An Overview and Suggestions

“…The polarization degree exhibited a self-similar dependency on a mix of the transport scattering coefficient, temporal delay, and the distance between the source and receiver. The authors of [59] outlined formulas for computing the irradiance field in a turbid medium with a narrow scattering phase function and uniform optical properties, created by an infinitely narrow light beam. Many studies have obtained deterministic laws and fixed models of light propagation of the air-water interface, turbulence, and other environments.…”

“…Formulas for computing the irradiance field in a turbid medium with a narrow scattering phase function and uniform optical properties [59] Considers the temporal spreading of a pulsed light beam in the sea while maintaining high accuracy in depicting its spatial structure.…”