The spectral transmissivity of a 50 − μ m -thick polymer film is measured over the wavelength range 2.5 μ m ≤ λ ≤ 15 μ m . The spectral distribution may be approximated as τ λ = 0.80 f o r 2 .5 μ m ≤ λ ≤ 7 μ m , τ λ = 0.05 f o r 7 μ m < λ ≤ 13 μ m , and τ λ = 0.55 for 13 μ m < λ ≤ 15 μ m Transmissivity data outside the range can- not be acquired due to limitations associated with the instrumentation. An engineer wishes to determine the total transmissivity of the film. (a) Estimate the maximum possible total transmissivity of the film associated with irradiation from a blackbody at T = 30 ∘ C . (b) Estimate the minimum possible total transmissivity of the film associated with irradiation from a blackbody at T = 30 ∘ C . (c) Repeat parts (a) and (b) for a blackbody at T = 600 ∘ C .
The spectral transmissivity of a 50 − μ m -thick polymer film is measured over the wavelength range 2.5 μ m ≤ λ ≤ 15 μ m . The spectral distribution may be approximated as τ λ = 0.80 f o r 2 .5 μ m ≤ λ ≤ 7 μ m , τ λ = 0.05 f o r 7 μ m < λ ≤ 13 μ m , and τ λ = 0.55 for 13 μ m < λ ≤ 15 μ m Transmissivity data outside the range can- not be acquired due to limitations associated with the instrumentation. An engineer wishes to determine the total transmissivity of the film. (a) Estimate the maximum possible total transmissivity of the film associated with irradiation from a blackbody at T = 30 ∘ C . (b) Estimate the minimum possible total transmissivity of the film associated with irradiation from a blackbody at T = 30 ∘ C . (c) Repeat parts (a) and (b) for a blackbody at T = 600 ∘ C .
Solution Summary: The author explains the maximum transmissivity of the film associated with irradiation from a black body.
The spectral transmissivity of a
50
−
μ
m
-thick polymer film is measured over the wavelength range
2.5
μ
m
≤
λ
≤
15
μ
m
. The spectral distribution may be approximated as
τ
λ
=
0.80
f
o
r
2
.5
μ
m
≤
λ
≤
7
μ
m
,
τ
λ
=
0.05
f
o
r
7
μ
m
<
λ
≤
13
μ
m
,
and
τ
λ
=
0.55
for 13
μ
m
<
λ
≤
15
μ
m
Transmissivity data outside the range can- not be acquired due to limitations associated with the instrumentation. An engineer wishes to determine the total transmissivity of the film.
(a) Estimate the maximum possible total transmissivity of the film associated with irradiation from a blackbody at
T
=
30
∘
C
.
(b) Estimate the minimum possible total transmissivity of the film associated with irradiation from a blackbody at
T
=
30
∘
C
.
(c) Repeat parts (a) and (b) for a blackbody at
T
=
600
∘
C
.
20.Components of some computers communicate with each other through optical fibers having an index of refraction n = 1.55. What time in seconds is required for a signal to travel 0.2 m through such a fiber?
Problem 2:
(a) Consider the double-slit experiment in which the slit separation, d, is equal to the slit width, a.
Explain how this set up is equivalent to a single-slit experiment with slit width 2a. In particular, what
happens to the interference peaks of that double-slit experiment (besides the central peak)? What happens
to the diffraction peaks of that double-slit experiment (besides the central peak)? Sketch the intensity
pattern to elucidate the equivalence.
(b) To prove that equivalence even further, show that the intensity function of the double-slit experiment
[sin(o/2)'
(/2)
I(0) = Io
cos (8/2)
(1)
reduces to the correct intensity function of the single-slit experiment with slit width 2a. Recall o = 27 a sine
and 8 = 27 dsin @
%3D
(c) Now ignore diffraction. A laser with 600 nanometer wavelength is shines at two slits separated by 2
millimeters. An interference pattern forms on a screen 1.5 meters behind the slits. How many maxima are
illuminated on the screen? Assume the…
A laser contains a Ti:sapphire rod of length 5mm and composed of a material with n=1.76 and
n2=1x10-19m2 w-1 The FWHM (intensity) beam diameter is 100µm, the average intra-cavity laser
power is 8W, the pulse duration is 53fs and the pulse repetition frequency is 64MHZ.
By considering the optical Kerr effect, by what distance (in nm) does the center of the beam lag
behind the FWHM points after propagating the length of the rod?
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