The influence of fiber size and angle of incidence on the radiative behavior of fibrous media containing closely spaced, aligned fibers is investigated by utilizing the dependent scattering theory. Numerical analyses are performed to calculate the coherent and incoherent scattering properties of dense fibrous media for several fiber sizes and angles of incidence. Results indicate that as the fiber concentration increases, the radiative properties deviate from their independent scattering values due to dependent scattering interactions. Dependent scattering becomes dominant at a lower volume fraction at normal than at oblique incidence. Increasing the fiber concentration causes the apparent refractive index of the fibrous medium to deviate from unity, thus giving rise to specular reflection due to Fresnel reflection.

1.
Bose
S. K.
, and
Mal
A. K.
,
1973
, “
Longitudinal Shear Waves in a Fiber-Reinforced Composite
,”
International Journal of Solid Structure
, Vol.
9
, No.
9
, pp.
1075
1085
.
2.
Chae
D. G.
,
Ree
F. H.
, and
Ree
T.
,
1969
, “
Radial Distribution Functions and Equation of State of the Hard-Disk Fluid
,”
The Journal of Chemical Physics
, Vol.
50
, No.
4
, pp.
1581
1589
.
3.
Chern, B.-C., Howell, J. R., and Moon, T. J., 1994, “Dependent Scattering Effects on Wave Propagation Through Filament-Wound Composites,” 6th AIAA/ASME Thermophysics and Heat Transfer Conference, ASME HTD-Vol. 276, pp. 15–20.
4.
IMSL, 1989, IMSL Math/Library User’s Manual, Fortran Subroutines for Mathematical Applications.
5.
Lax
M.
,
1952
, “
Multiple Scattering of Waves. II. The Effective Field in Dense Systems
,”
Physics Review
, Vol.
85
, No.
4
, pp.
621
629
.
6.
Lee
S. C.
,
1990
, “
Dependent Scattering of an Obliquely Incident Plane Wave by a Collection of Parallel Cylinders
,”
Journal of Applied Physics
, Vol.
68
, No.
10
, pp.
4952
4957
.
7.
Lee
S. C.
,
1992
a, “
Scattering by Closely-Spaced Radially-Stratified Parallel Cylinders
,”
Journal of Quantitative Spectroscopy & Radiative Transfer
, Vol.
48
, No.
2
, pp.
119
130
.
8.
Lee
S. C.
,
1992
b, “
Effective Propagation Constants of Fibrous Media Containing Parallel Fibers in the Dependent Scattering Regime
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
114
, No.
2
, pp.
473
478
.
9.
Lee
S. C.
,
1993
, “
Propagation of Radiation in High-Density Fibrous Composites Containing Coated Fibers
,”
Journal of Thermophysics and Heat Transfer
, Vol.
7
, No.
4
, pp.
637
643
.
10.
Lee, S. C., and Kurtz, J., 1994, “Optical Extinction Properties of Space Suite Fabrics: Theory vs. Experiment,” AIAA Paper No. Paper 94-1967.
11.
Lee
S. C.
,
1994
, “
Dependent Versus Independent Scattering in Fibrous Composites Containing Parallel Fibers
,”
Journal of Thermophysics and Heat Transfer
, Vol.
8
, No.
4
, pp.
641
646
.
12.
Lee
S. C.
, and
Grzesik
J. A.
,
1995
, “
Scattering Characteristics of High-Density Fibrous Media
,”
Journal of Thermophysics and Heat Transfer
, Vol.
9
, No.
3
, pp.
403
409
.
13.
Malitson
I. H.
,
1965
, “
Interspecimen Comparison of Refractive Index of Fused Silica
,”
Journal of Optical Society of America
, Vol.
55
, No.
9
, pp.
1206
1210
.
14.
Oloafe
G. O.
,
1970
, “
Scattering by an Arbitrary Configuration of Parallel Circular Cylinders
,”
Journal of Optical Society of America
, Vol.
60
, No.
9
, pp.
1233
1236
.
15.
Twersky
V.
,
1952
a, “
Multiple Scattering of Radiation by an Arbitrary Configuration of Parallel Cylinders
,”
Journal of Optical Society of America
, Vol.
24
, No.
1
, pp.
42
46
.
16.
Twersky
V.
,
1952
b, “
Multiple Scattering of Radiation by an Arbitrary Planar Configuration of Parallel Cylinders and by Two Parallel Cylinders
,”
Journal of Applied Physics
, Vol.
23
, No.
4
, pp.
407
414
.
17.
Twersky
V.
,
1979
, “
Propagation in Pair-Correlated Distributions of Small-Spaced Lossy Scatters
,”
Journal of Optical Society of America
, Vol.
69
, No.
1l
, pp.
1567
1572
.
18.
Varadan
V. K.
,
Varadan
V. V.
, and
Pao
Y.-H.
,
1978
, “
Multiple Scattering of Elastic Waves by Cylinders of Arbitrary Cross Section. I. SH Waves
,”
Journal of Acoustical Society of America
, Vol.
63
, No.
5
, pp.
1310
1319
.
19.
Varadan
V. K.
,
Ma
Y.
, and
Varadan
V. V.
,
1986
, “
Multiple Scattering of Compressional and Shear Waves by Fiber-Reinforced Composite Materials
,”
Journal of Acoustical Society of America
, Vol.
80
, No.
1
, pp.
333
339
.
20.
Wood
W. W.
,
1970
, “
NpT-Ensemble Monte Carlo Calculations for the Hard Disk Fluid
,”
The Journal of Chemical Physics
, Vol.
52
, No.
2
, pp.
729
741
.
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