課程名稱︰基礎光學
課程性質︰工科海洋光機電組必修
課程教師︰陳國在
開課學院：工學院
開課系所︰工科海洋系
考試日期（年月日）︰99/4/21
考試時限（分鐘）：14:20~16:20
是否需發放獎勵金：
（如未明確表示，則不予發放）
試題 :
Mid-term test for Foundamentals of optics (Open book)
1.Assume that the orbit of the Earth (mass is 5.9*10^15kg) around the Sun is
circular with a radius of 1.5*10^11m. Try to use the matter wave equation
proposed by de Broglie to determine the corresponding wave length of matter
wave for the Earth moving around the Sun (12%).
2.An atom in an excited state normally remains in that state for a very short
time, e.g. 2.2*10^-8sec, before emitting a photon and returning to a lower
energy state. The lifetime of the excited state can be taken as an
uncertainty in the time Δt associated with a measurement of the energy of
the state. This, in turn, implies an energy width, namely, the corresponding
energy uncertainty ΔE. Calculate the characteristic energy width of such a
state (13%).
3.A 60W light ray of wave length 0.8μm. Calculate the number of photons
emitted per second. (10%)
4.Can you give the key points for the Example 3.3 of text in page 3.7 (10%)
5.If there is no atmosphere around the Earth, what differences will you see
about both of the scenary and the timing of the Sun rise and the Sun set (8%)
6.Regards to Example 3.9 of text, try to show z=2*n^2sin2θ/g by completely
solving the ray path given by Eq.(3.62) (8%)
7.Talking to the reflection from the ionosphere, try to evaluate the range of
possible density of electrons in E and F regions by using Fig 3.28 and some
formulas involved in text. (10%)
8.Regarding to the rays from an object to be refracted by a spherical surface,
why do we need to make paraxial approximation? (7%)
9.Try to show Eq.(4.16) can be simplified to become Eq.(4.13) when n1=n3 is
assumed (6%)
10.As shown in Fig. 4.18, it is to assume a biconvex lens of │R1│= 120cm,
│R2│= 72cm with refractive indices n1 = n3 = 1, n2 = 1.5. For u = -50cm,
determine the position of the paraxial image. Also determine the first, the
second principal foci and verify Newton's formula (13%).
11.Eq.(4.13) clearly reveals the focal length of a thin lens is dependent on
the refractive index of the medium it is immersed. If the focal length of
a thin lens (n = 1.5) in air (n = 1) is 10.0cm, try to calculate its
associated focal length in water (n = 4/3).(10%)
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