This study presents the hemispherical model to predict the hemispherical total thermal radiative properties of a fiber coated with a thin film. The fiber is composed of semi-transparent media, such as fused silica. The film is made of strong absorbing media with thickness on the order of tens of nanometers. The film is assumed to be “locally flat” at the point of incidence for radiative transfer analysis because the thickness of the film is much less than the fiber radius. Wave optics is employed to calculate the reflectance and transmittance of the thin film while the ray tracing method is used for radiative transport analysis of the fiber. Effects of film and fiber substrate optical properties, film thickness and temperature on predicted thermal radiative properties are investigated. One of the applications of the proposed model is for studying the chemical vapor deposition of hermetic coatings on optical fibers, in which the thermal radiative properties of the fiber–film system heavily influence the fiber surface temperature and chemical reaction rate.

1.
Iwanik
,
P. O.
, and
Chiu
,
W. K. S.
, 2003, “
Temperature Distribution of an Optical Fiber Traversing through a Chemical Vapor Deposition Reactor
,”
Numer. Heat Transfer, Part A
1040-7782,
43
, pp.
221
237
.
2.
Wang
,
K. Y.
,
Kumar
,
S.
, and
Tien
,
C. L.
, 1987, “
Radiative Transfer in Thermal Insulations of Hollow and Coated Fibers
,”
J. Thermophys. Heat Transfer
0887-8722,
1
(
4
), pp.
289
295
.
3.
Borca-Tasciuc
,
T.
, and
Chen
,
G.
, 1997, “
Temperature Measurement of Fine Wires by Photothermal Radiometry
,”
Rev. Sci. Instrum.
0034-6748,
68
, pp.
4080
4083
.
4.
Yin
,
Z.
, and
Jaluria
,
Y.
, 2000, “
Neck Down and Thermally Induced Defects in High-speed Optical Fiber Drawing
,”
ASME J. Heat Transfer
0022-1481,
122
, pp.
351
362
.
5.
Reeve
,
H. M.
,
Mescher
,
A. M.
, and
Emery
,
A. F.
, 2004, “
Investigation of Steady-State Drawing Force and Heat Transfer in Polymer Optical Fiber Manufacturing
,”
ASME J. Heat Transfer
0022-1481,
126
, pp.
236
243
.
6.
Viskanta
,
R.
, and
Menguc
,
M. P.
, 1989, “
Radiative Transfer in Dispersed Media
,”
Appl. Mech. Rev.
0003-6900,
42
, pp.
241
259
.
7.
Baillis
,
D.
, and
Sacadura
,
J.-F.
, 2000, “
Thermal Radiative Properties of Dispersed Media: Theoretical Prediction and Experimental Characterization
,”
J. Quant. Spectrosc. Radiat. Transf.
0022-4073,
67
, pp.
327
363
.
8.
Siegel
,
R.
, and
Howell
,
J. R.
, 2002,
Thermal Radiation Heat Transfer
,
4th ed.
,
Taylor & Francis
, New York.
9.
Yamada
,
J.
, and
Kurosaki
,
Y.
, 2000, “
Radiative Characteristics of Fibers with a Large Size Parameter
,”
Int. J. Heat Mass Transfer
0017-9310,
43
, pp.
981
991
.
10.
Tagne
,
H. T. K.
, and
Baillis
,
D. D.
, 2005, “
Radiative Heat Transfer using Isotropic Scaling Approximation: Application to Fibrous Medium
,”
ASME J. Heat Transfer
0022-1481,
127
, pp.
1115
1123
.
11.
Lin
,
J.-D.
, and
Huang
,
J.-M.
, 1987, “
Radiative Transfer within a Cylindrical Geometry with Fresnel Reflecting Boundary
,”
J. Thermophys. Heat Transfer
0887-8722,
2
, pp.
118
122
.
12.
Wu
,
C. Y.
,
Sutton
,
W. H.
, and
Love
,
T. J.
, 1988, “
Directional Emmitance of a Two-Dimensional Scattering Media with Fresnel Boundaries
,”
J. Thermophys. Heat Transfer
0887-8722,
3
, pp.
274
282
.
13.
Heavens
,
O. S.
, 1991,
Optical Properties of Thin Solid Films
,
Dover
, New York.
14.
Bohren
,
C. F.
, and
Huffman
,
D. R.
, 1983,
Absorption and Scattering of Light by Small Particles
,
Wiley
, New York.
15.
Born
,
M.
, and
Wolf
,
E.
, 2002,
Principles of Optics
,
7th ed.
,
Cambridge University Press
, Cambridge, UK.
16.
Armaly
,
B. F.
, and
Look
,
D. C.
, 1973, “
Effect of Substrate on Radiative Properties of Thin Film
,”
Appl. Opt.
0003-6935,
12
(
8
), pp.
1904
1908
.
17.
Taylor
,
R. P.
, and
Viskanta
,
R.
, 1975, “
Spectral and Directional Radiation Characteristics of Thin-Film Coated Isothermal Semitransparent Plates
,”
Waerme- Stoffuebertrag.
0042-9929,
8
, pp.
219
227
.
18.
Chen
,
G.
, and
Tien
,
C. L.
, 1992, “
Partial Coherence Theory of Thin Film Radiative Properties
,”
ASME J. Heat Transfer
0022-1481,
114
, pp.
636
643
.
19.
Anderson
,
C. F.
, and
Bayazitoglu
,
Y.
, 1996, “
Radiative Properties of Film Using Partial Coherence Theory
,”
J. Thermophys. Heat Transfer
0887-8722,
10
(
1
), pp.
26
32
.
20.
Liu
,
L. H.
,
Tan
,
H. P.
, and
Yu
,
Q. Z.
, 2002, “
Internal Distribution of Radiation Absorption in One-Dimensional Semitransparent Medium
,”
Int. J. Heat Mass Transfer
0017-9310,
45
, pp.
417
424
.
21.
Tian
,
W.
, and
Chiu
,
W. K. S.
, 2006, “
Radiative Absorption of an Infinitely Long Hollow Cylinder with Frensel Surfaces
,”
J. Quant. Spectrosc. Radiat. Transf.
0022-4073,
98
, pp.
249
263
.
22.
Kovalev
,
V. N.
, 1983, “
The Total Hemispherical Emissivity of the Surface in the System Metal-Thin Oxide Film
,”
Heat Transfer-Sov. Res.
0440-5749,
15
, pp.
80
90
.
You do not currently have access to this content.