Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group
Journal Home About Issues in Progress Current Issue All Issues Feature Issues

Multiple scattering by random particulate media: exact 3D results

Michael I. Mishchenko, Li Liu, Daniel W. Mackowski, Brian Cairns, and Gorden Videen

Open Access Open Access

Abstract

We use the numerically exact superposition T-matrix method to perform extensive computations of electromagnetic scattering by a 3D volume filled with randomly distributed wavelength-sized particles. These computations are used to simulate and analyze the effect of randomness of particle positions as well as the onset and evolution of various multiple-scattering effects with increasing number of particles in a statistically homogeneous volume of discrete random medium. Our exact results illustrate and substantiate the methodology underlying the microphysical theories of radiative transfer and coherent backscattering. Furthermore, we show that even in densely packed media, the light multiply scattered along strings of widely separated particles still provides a significant contribution to the total scattered signal and thereby makes quite pronounced the classical radiative transfer and coherent backscattering effects.

©2007 Optical Society of America

Full Article  |  PDF Article
More Like This
Effects of absorption on multiple scattering by random particulate media: exact results

Michael I. Mishchenko, Li Liu, and Joop W. Hovenier
Opt. Express 15(20) 13182-13187 (2007)

Electromagnetic scattering by densely packed particulate ice at radar wavelengths: exact theoretical results and remote-sensing implications

Michael I. Mishchenko and Li Liu
Appl. Opt. 48(13) 2421-2426 (2009)

Demonstration of numerical equivalence of ensemble and spectral averaging in electromagnetic scattering by random particulate media

Michael I. Mishchenko, Janna M. Dlugach, and Nadezhda T. Zakharova
J. Opt. Soc. Am. A 33(4) 618-624 (2016)

View More...

Cited By

Optica participates in Crossref's Cited-By Linking service. Citing articles from Optica Publishing Group journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (11)
Fig. 1.
Fig. 1. Spherical scattering volume V filled with N randomly positioned particles.

Download Full Size | PDF

Fig. 2.
Fig. 2. Electromagnetic scattering by a volume V of disretete random medium. In this case the scattering volume is filled with 20 randomly positioned particles.

Download Full Size | PDF

Fig. 3.
Fig. 3. Angular distribution of scattered intensity in the far-field zone of the spherical volume V filled with N particles. (a) N = 1 and m = 1.32. (b) N = 5 and m = 1.32. (c) N = 20 and m = 1.32. (d) N = 40 and m = 1.32. (e) N = 80 and m = 1.32. (f) N = 80 and m = 1.32. (g) N = 80 and m = 1.5. (h) N = 80 and m = 1.32, random orientation. (i) N = 80 and m = 1.5, random orientation. The gray scale was individually adjusted in order to maximally reveal the details of each scattering pattern. Panel (a) also shows the angular coordinates used for all panels.

Download Full Size | PDF

Fig. 4.
Fig. 4. Interference origin of (a) speckle and (b) coherent backscattering.

Download Full Size | PDF

Fig. 5.
Fig. 5. Two random realizations of the 80-particle group created with (a) RCG-1 and (b) RCG-2.

Download Full Size | PDF

Fig. 6.
Fig. 6. Elements of the normalized Stokes scattering matrix computed for the volume V of discrete random medium filled with N = 1, …,240 particles having the same refractive index m = 1.32.

Download Full Size | PDF

Fig. 7.
Fig. 7. Elements of the normalized Stokes scattering matrix computed for the volume V of discrete random medium filled with N = 1, …, 160 particles having the same refractive index m = 1.5.

Download Full Size | PDF

Fig. 8.
Fig. 8. Elements of the normalized Stokes scattering matrix computed for the volume V of discrete random medium filled with a varying number of particles. (a) m = 1.32 (solid curves) and 1.5 (dotted curve). (b) – (d) m = 1.32. (e) and (f) m = 1.5.

Download Full Size | PDF

Fig. 9.
Fig. 9. Forward-scattering interference.

Download Full Size | PDF

Fig. 10.
Fig. 10. Polarization characteristics of backscattered light computed for the volume V of discrete random medium filled with N = 1, …, 240 particles having the same refractive index m = 1.32.

Download Full Size | PDF

Fig. 11.
Fig. 11. Polarization characteristics of backscattered light computed for the volume V of discrete random medium filled with N = 1, …, 160 particles having the same refractive index m = 1.5.

Download Full Size | PDF

Equations (10)

Equations on this page are rendered with MathJax. Learn more.

I sca Q sca U sca V sca ∝ Z n ̂ sca n ̂ inc I inc Q inc U inc V inc .
[ a 1 ( Θ ) b 1 ( Θ ) 0 0 b 1 ( Θ ) a 2 ( Θ ) 0 0 0 0 a 3 ( Θ ) b 2 ( Θ ) 0 0 − b 2 ( Θ ) a 4 ( Θ ) ] .
1 2 ∫ 0 π d Θ sin ⁡ Θ a 1 ( Θ ) = 1 .
Δ = k 1 ( r n − r 1 ) ⋅ ( n ̂ inc + n ̂ sca ) .
1 2 ( I sca + Q sca ) ∝ 1 2 [ a 1 ( Θ ) + 2 b 1 ( Θ ) + a 2 ( Θ ) ] ,
1 2 ( I sca − Q sca ) ∝ 1 2 [ a 1 ( Θ ) − a 2 ( Θ ) ] ,
1 2 ( I sca + V sca ) ∝ 1 2 [ a 1 ( Θ ) + a 4 ( Θ ) ] ,
1 2 ( I sca − V sca ) ∝ 1 2 [ a 1 ( Θ ) − a 4 ( Θ ) ] ,
μ L = I sca − Q sca I sca + Q sca = a 1 ( Θ ) − a 2 ( Θ ) a 1 ( Θ ) + 2 b 1 ( Θ ) + a 2 ( Θ ) ,
μ C = I sca + V sca I sca − V sca = a 1 ( Θ ) + a 4 ( Θ ) a 1 ( Θ ) − a 4 ( Θ ) .
Select as filters
Select Topics Cancel
Top
       
© Copyright 2024 | Optica Publishing Group. All rights reserved, including rights for text and data mining and training of artificial technologies or similar technologies.
Privacy | Terms of Use