文档介绍：南京理工大学课程考试试卷 (学生考试用)
课程名称： 波动光学 学分： 3 大纲编号 11044901
试卷编号： 考试方式： 笔试 满分分值：100 考试时间：120 分钟
组卷日期： 2010, 1, 8 组卷教师(签字)： 审定人(签字)：
学生班级：07110xxxxx,0711 Ixxxxx 学生学号: 学生姓名：
Which of the following expressions correspond to traveling waves? For each of those, what is the speed of the wave? The quantities a, b, and c are positive constants. (9 points)
y/(z,t) = (qz-btV, (b) t) = (ax + bt + c)2, (c) t) = 1/(ax2 + Z?)
Write an expression in Cartesian coordinates for a harmonic plane wave of amplitude A and frequency o propagating in the direction of the vector * , which in turn lies on a line drawn from the origin to the point (4, 2, 1). (8 points)
An electromagnetic wave is specified (in SI units) by the following function:
一 八 - ： , i[-(x+2 y )^xl07 -]
E = (-6z+3j)(104V/m)e 3
Find： (a) the direction along which the electric field oscillates, (b) the scalar value of amplitude of the electric field, (c) the direction of propagation of the wave, (d) the propagation number and wavelength, (e) the frequency and angular frequency, and (f) the speed. (12 points)
Given an interface between water ("招=%) and glass(%=%)，compute the transmission angle for a beam incident in the water at 45°. If the transmitted beam is reversed so that it impinges on the interface, show that 6t = 45° .(10 points)
Suppose a lightwave that is linearly polarized in the plane-of- incidence impinges at 30° on a crown-glass (ng = ) plate in air. Compute the appropriate amplitude reflection and transmission coefficients at the interface. (10 points)
A standing wave is given by
2 E = 100 sin — 7Tx cos 5 兀t
3
Determine two waves that can be superimposed to generate it. (8 points)
In the Fresnel double mirror s = 2 m,入 0 = 589 nm, and the separation of the fringes was found to be mm. What is the angle of inclination of the mirrors, if the perpendicular distance of the actual point source to the intersection of the two mirrors is
1 m? (10 points)
A Michelson Interferometer is