Optical propagation characterization has been studied using the Radiative Transfer Equation (RTE) and RTE has been established as an accurate method for calculating optical attenuation of light propagating through inhomogeneous media. The RTE accounts for both the absorption and multiple scattering effects of light propagating through the atmosphere. The RTEs can be solved using numerical methods and are thus mathematically less challenging than the Maxwell equations which need analytical solutions. In this paper, the solution of RTE particularly through the realistic inhomogeneous cloud layers has been specifically addressed. The Monte Carlo approach has been applied to simulate photon trajectories propagating through the cloud layers from the optical transmitter to the receiver end. The wavelength dependence of optical attenuation through clouds has been studied in depth. The radiative transfer theory can be applied to explain the intensity fluctuations through the multiple scattering media. Results are being provided for the extinction (scattering and absorption) of photons through their interaction with water droplets in the cloud layers at laser wavelengths of 2 µm and 10 µm. The results on these specific wavelengths shall help the choice of lasers for optical links through the clouds.
INTRODUCTIONOptical wave propagation modelling has gained significance due to recent interest in Free Space Optical (FSO) communication systems. Deterministic and analytical channel models for studying propagation in random media are ray tracing and solution of Maxwell's equation. Another more viable approach in order to have an accurate estimate of the propagation channel is Radiative Transfer Equation (RTE). Radiative transfer theory accurately models optical wave propagation through randomly placed scatterers composed of media including turbid atmosphere, inhomogeneous clouds, fog and rain [1]. Based on a phenomenological description of energy transfer, the RTE simply states the conservation of energy in terms of the transfer of specific intensity I (x, Ω) i.e., the power per unit area and per unit solid angle Ω propagating along x and relaxes the rigorous mathematics involved in Maxwell's Equation.The development of the theory is heuristic i.e., the amount of electromagnetic energy that enters a volume is equal to amount of energy that leaves the volume per unit time and does not entail any information about the phase of the wave. Chandrasekhar first studied the RTE within the context of astrophysics [2]. Later, several recent works have successfully employed the same formulation for many other applications, such as propagation modelling in the underwater communication [3], heat transfer through materials, neutron scattering and absorption within biological tissues.Research and experiments have been focussed on which wavelength presents less extinction during propagation through fog and clouds. When selecting a transmission wavelength for communication, it is critically important for the designers to understand the attenua...