[試題] 97下 陳國在 基礎光學期中考
課程名稱︰基礎光學
課程性質︰必修
課程教師︰陳國在
開課學院：工學院
開課系所︰工程科學與海洋工程學系
考試日期（年月日）︰2009/4/15
考試時限（分鐘）：120
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
Mid-term test for Foundamentals of optics (Open book)14:20~16:20,April 15,2009
ID: Name:
1.When a harmonic light source of very small size is placed in some point
of free space, the resulting far field can almost be a spherical wave.
Try to use the law of the conservation of energy from the light source
to prove the irradiance and field amplitude at far field will follow,
respectively, the inverse law and inverse square law(10%).
2.Usually it is to comprehend the foundamental phenomena of the wave motion
involves in a dynamic problem by using plane wave theory. Why is it
available to do this to interprete the resultant wave? Again which
mathematical theorem can be used when we want to apply the plane wave
solutions to a general wave problem?(10%)
3.Using the informations as discussed in text, try to write out the Pauli
Exclusion Principle, and then to explain the gregarious characteristics
of photons(10%)
4.In text, it is to prove by using one-dimensional situation the transverse-
wave characteristics for both electric and magnetic fields, can you tell
me the key reason for being able to do this?(8%)
5.Regarding to the electromagnetic emission from a linearly accelerating
cgarges, which is the key mechanism to produce this emission?(7%)
6.Regarding to the following ways to generate electromagnetic waves, one is
an electron that moves periodically forward and backward in x-axis around
x=0, and the other one is an electron of the same charge doing the same
thing but another positron placed at x=0. Can you tell me which way has more
electromagnetic radiation at far field, and by the way explain why?(10%)
7.For two dispersion equations(3.73)&(3.74), the main difference between
them is to have a damping term iγω in Eqn(3.73). Answer the following
two questions, (a) when and why is this term added? (b)Try to use eqn(3.74)
to interprete the anomalous dispersion process as shown in fig.3.41
for the refractive index versus frequency.(9%)
8.Usual life experience can absolutely ensure electricity must produce much
greater effects on human body than that produced by magnetism. What
relationship could you use to explain this physical phenomenum?(8%)
9.As talked from Chinese Medicine(中國醫學), the acupuncture point(百會穴)
at the top of the human body can be regarded as positive concentration,
otherwise, the acupuncture point(會陰穴) at the bottom of the body is the
negative concertration. So, it is possible to model a human body as an
electric dipole to simulate the biologically electro-magnetic field of
human life. Can you imaginary interprete a very special actuality ever
published several years ago in an international news that a young Indian
just lain under the shadow of a big tree and still looked very well
even never got anything for several times and days (9%)
10.As told in homework 3.53, (a) show that Eq.(3.70) can be rewritten as:
2 -1 -2 -2 2 2 2
(n - 1 ) = -Cλ +Cλ Where C = 4π c εm/N q . (b) Again tell
0 15
me how do you obtain the ultraviolet resonant frequency f at 2.95*10 Hz
0
using equation as obtained in (a) and Fig.3.39?(8%)
11.Using the view point from statistics, try to use the results as shown in
Fig.3.25 for the experiments of photon counting to reveal that a coherent
and a chaotic source to be extremly a strong and a weak source(10%).
→
12.Imagine an electromagnetic wave with its E -field in y-direction.
→ →
Show that Eq.(3.27) applied to the harmonic wave B , in which E =
→ → →
E cos(kx-wt), B = B cos(kx-wt), yields the fact that in agreement with
0 0
Eq.(3.30)(7%)
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