课程名称︰基础光学 课程性质︰工科海洋光机电组必修 课程教师︰陈国在 开课学院：工学院 开课系所︰工科海洋系 考试日期（年月日）︰99/4/21 考试时限（分钟）：14:20~16:20 是否需发放奖励金： （如未明确表示，则不予发放） 试题 : 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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