The scattering properties of woven fibrous materials are examined in this paper and a simple model is presented to account for the interactions between the scattered radiation from different individual fibers. The case of a normally incident plane electromagnetic wave is considered. Fiber sizes in the Rayleigh regime are considered for developing closed-form solutions. Previous studies in the literature that have addressed the scattering properties of fibrous materials have mostly ignored the effect of constructive or destructive addition of scattered waves from individual fibers, the exception being the case of parallel fibers. The difference in the effects of interference on scattering properties of parallel fibers and of woven fabrics arises from the additional interaction of radiation scattered from mutually perpendicular fibers in the latter case, which further complicates the analysis.

1.
Al-Nimr
M. A.
, and
Arpaci
V. S.
,
1992
, “
Radiative Properties of Interacting Particles
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
114
, pp.
950
957
.
2.
Bohren, C. F., and Huffman, D. R., 1983, Absorption and Scattering of Light by Small Particles, Wiley-Interscience, New York.
3.
Kerker, M., 1981, The Scattering of Light and Other Electromagnetic Radiation, Dover, New York.
4.
Koylu
U. O.
, and
Faeth
G. M.
,
1993
, “
Radiative Properties of Flame Generated Soot
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
115
, pp.
409
417
.
5.
Ku
J. C.
, and
Shim
K. H.
,
1991
, “
Optical Diagnostics and Radiative Properties of Simulated Soot Agglomerates
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
113
, pp.
953
959
.
6.
Kumar
S.
, and
Tien
C. L.
,
1989
, “
Effective Diameter of Agglomerates for Radiative Extinction and Scattering
,”
Combustion Science and Technology
, Vol.
66
, pp.
199
216
.
7.
Kumar
S.
, and
Tien
C. L.
,
1990
, “
Dependent Absorption and Extinction of Radiation by Small Particles
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
112
, pp.
178
185
.
8.
Lee
S. C.
,
1990
, “
Dependent Scattering of an Obliquely Incident Plane Wave by a Collection of Parallel Cylinder
,”
Journal of Applied Physics
, Vol.
68
, pp.
4952
4957
.
9.
Lee
S. C.
,
1992
, “
Dependent Scattering by Parallel Fibers: Effects of Multiple Scattering and Wave Interference
,”
Journal of Thermophysics and Heat Transfer
, Vol.
6
, No.
4
, pp.
589
595
.
10.
Ma
Y.
,
Varadan
V. K.
, and
Varadan
V. V.
,
1990
, “
Enhanced Absorption Due to Dependent Scattering
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
112
, pp.
402
407
.
11.
Pitts
W. C.
, and
Murbach
M. S.
,
1986
, “
Thermal Design of Aeroassisted Orbital Transfer Vehicle Heat Shields for a Conical Drag Brake
,”
Journal of Spacecraft and Rockets
, Vol.
23
, No.
4
, pp.
442
448
.
12.
Tien
C. L.
, and
Drolen
B. L.
,
1987
, “
Thermal Radiation in Particulate Media With Dependent and Independent Scattering
,”
Annual Review of Numerical Fluid Mechanics and Heat Transfer
, Vol.
1
, pp.
349
417
.
13.
Walberg, G. D., 1988, “A Review of Aerobraking for Mars Missions,” presented at the 39th Congress of the International Astronautical Federation (Bangalore, India), IAF Paper 88–196, Oct.
14.
White
S. M.
, and
Kumar
S.
,
1990
, “
Interference Effects on Scattering by Parallel Fibers at Normal Incidence
,”
Journal of Thermophysics and Heat Transfer
, Vol.
4
, No.
3
, pp.
305
310
.
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