scholarly journals Composite Method of Forming Approximating Distributions with an Arbitrary Phase Function

2016 ◽  
Vol 3 (46) ◽  
pp. 212
Author(s):  
Vladimir Anatolievich Goncharenko
Keyword(s):  
Phase Function ◽  
Composite Method ◽  
Arbitrary Phase ◽  
Approximating Distributions

Diffuse reflection of light in the case of an arbitrary phase function

Astrophysics ◽  
1979 ◽  
Vol 14 (3) ◽  
pp. 223-230 ◽  
Author(s):  
A. G. Nikogosyan ◽  
G. A. Arutyunyan
Keyword(s):  
Phase Function ◽  
Diffuse Reflection ◽  
Arbitrary Phase ◽  
Reflection Of Light

Arbitrary phase-locking in Mach–Zehnder interferometer

2019 ◽  
Vol 442 ◽  
pp. 148-151
Author(s):  
Shuhe Wu ◽  
Wenfeng Huang ◽  
Peiyu Yang ◽  
Shuqi Liu ◽  
Liqing Chen
Keyword(s):  
Phase Locking ◽  
Zehnder Interferometer ◽  
Arbitrary Phase ◽  
Mach Zehnder Interferometer

Comment on ‘The use of the Henyey–Greenstein phase function in Monte Carlo simulations in biomedical optics’

2006 ◽  
Vol 51 (22) ◽  
pp. L39-L41 ◽  
Author(s):  
T Binzoni ◽  
T S Leung ◽  
A H Gandjbakhche ◽  
D Rüfenacht ◽  
D T Delpy
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Phase Function ◽  
Biomedical Optics

The wigner property for CL-spaces and finite-dimensional polyhedral banach spaces

2021 ◽  
pp. 1-17
Author(s):  
Dongni Tan ◽  
Xujian Huang
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Phase Function ◽  
Linear Isometry ◽  
Basic Properties ◽  
Finite Dimensional ◽  
Image Position

Abstract We say that a map $f$ from a Banach space $X$ to another Banach space $Y$ is a phase-isometry if the equality \[ \{\|f(x)+f(y)\|, \|f(x)-f(y)\|\}=\{\|x+y\|, \|x-y\|\} \] holds for all $x,\,y\in X$ . A Banach space $X$ is said to have the Wigner property if for any Banach space $Y$ and every surjective phase-isometry $f : X\rightarrow Y$ , there exists a phase function $\varepsilon : X \rightarrow \{-1,\,1\}$ such that $\varepsilon \cdot f$ is a linear isometry. We present some basic properties of phase-isometries between two real Banach spaces. These enable us to show that all finite-dimensional polyhedral Banach spaces and CL-spaces possess the Wigner property.

scholarly journals Retrieval of aerosol single-scattering albedo and polarized phase function from polarized sun-photometer measurements for Zanjan's atmosphere

2013 ◽  
Vol 6 (10) ◽  
pp. 2659-2669 ◽  
Author(s):  
A. Bayat ◽  
H. R. Khalesifard ◽  
A. Masoumi
Keyword(s):  
Aerosol Optical Depth ◽  
Optical Depth ◽  
Atmospheric Aerosols ◽  
Phase Function ◽  
Single Scattering ◽  
Single Scattering Albedo ◽  
Angstrom Exponent ◽  
Ångström Exponent ◽  
Sun Photometer ◽  
Ångstrom Exponent

Abstract. The polarized phase function of atmospheric aerosols has been investigated for the atmosphere of Zanjan, a city in northwest Iran. To do this, aerosol optical depth, Ångström exponent, single-scattering albedo, and polarized phase function have been retrieved from the measurements of a Cimel CE 318-2 polarized sun-photometer from February 2010 to December 2012. The results show that the maximum value of aerosol polarized phase function as well as the polarized phase function retrieved for a specific scattering angle (i.e., 60°) are strongly correlated (R = 0.95 and 0.95, respectively) with the Ångström exponent. The latter has a meaningful variation with respect to the changes in the complex refractive index of the atmospheric aerosols. Furthermore the polarized phase function shows a moderate negative correlation with respect to the atmospheric aerosol optical depth and single-scattering albedo (R = −0.76 and −0.33, respectively). Therefore the polarized phase function can be regarded as a key parameter to characterize the atmospheric particles of the region – a populated city in the semi-arid area and surrounded by some dust sources of the Earth's dust belt.

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