Theoretical and numerical investigations of the polarization properties of a lidar signal scattered by a set of oriented ice plates

Abstract

The relationships for the backscattering cross sections are derived within the scope of the physical-optics method for the case in which polarized optical radiation interacts with an oriented semitransparent circular plate. Theoretical investigation of the depolarization relation is carried out for the polarization signal backscattered from a set of oriented circular plates. An algorithm is suggested for the calculation of the orientation angles of the plates in the scattering volume.

Estimation of Orientation and Optical Properties of Plane Crystals by Polarization Characteristics of Lidar Returns

“…where N( ) a is a function of the particle size distribution; j π σ ( ) a,λ is the backscattering cross sections for a particle, which also depend on the Euler angles β (an angle determining the crystal orientation in space relating to the direction of incident radiation) and γ (an angle of orientation of the polarization plane), the complex refractive index χ n n i = + ⋅ (here n is the refractive index and χ is the absorption index), λ (a wavelength of incident radiation) and assumption of the incident radiation polarization. Disregarding the internal reflections, the relations for the backscattering coefficients can be transformed into the simple form [5]. In this paper we consider only the cases of circular and linear polarizations which are most often used in practice.…”

Optical Model of Medium for the Numerical Imitation of Wave Surface Forming High-Intensity Reflected Radiant Energy

“…We have done a numerical research of anomalous backscattering coefficient for the light reflected from the system of plate crystals using (5). For the calculations, the following input parameters were used as particle geometrical dimensions (a, d), complex refraction index values (n, χ), parameters for particle size distribution (C, µ, a ), wavelength (λ).…”

<title>Optical model of a particle on bistatic polarization laser sensing of crystalline clouds</title>

“…12, it is suggested an algorithm for the calculation of the orientation angles of the plates in the scattering volume. The high amplitude signal is fixed on the photodetector when it is specular reflection of radiation from oriented plates.…”