Page 35 - Modern Optical Engineering The Design of Optical Systems

18 Chapter One

Greivenkamp, J. E., “Interference,” in Handbook of Optics, Vol. 1, New York, McGraw-Hill,
1995, Chap. 2.
Hardy, A., and P. Perrin, The Principles of Optics, New York, McGraw-Hill, 1932.
Hecht, E., and A. Zajac, Optics, Reading, MA, Addison-Wesley, 1974.
Jacobs, D. Fundamentals of Optical Engineering, New York, McGraw-Hill, 1943.
Jenkins, F., and H. White, Fundamentals of Optics, New York, McGraw-Hill, 1976.
Kingslake, R., Optical System Design, New York, Academic, 1983.
Levi, L., Applied Optics, New York, Wiley, 1968.
Marathay, A. S., “Diffraction,” in Handbook of Optics, Vol. 1, New York, McGraw-Hill, 1995,
Chap. 3.
Strong, J., Concepts of Classical Optics, New York, Freeman, 1958.
Walker, B. H., Optical Engineering Fundamentals, New York, McGraw-Hill, 1995.
Wood, R., Physical Optics, New York, Macmillan, 1934.

Exercises
10
1 What is the index of a medium in which light has a velocity of 2 10 cm/s?
ANSWER: Eq. 1.1 n (velocity in vacuum)/(velocity in medium)
10
3 10 /2 10 10
1.5

2 What is the velocity of light in water (n 1.33)?
10
ANSWER: Eq. 1.1 1.33 3 10 /(velocity in water)
10
Velocity in water 3 10 /1.33
2.26 10 10 cm/s
3 A ray of light makes an angle of 30° with the normal to a surface. Find the
angle to the normal after refraction if the ray is in:
(a) air and the other material is n 1.5.
(b) water, n 1.33 and the other material is air.
(c) water and the other material is n 1.5.
ANSWER: Eq. 1.3 n sin I n sin I 2
1
2
1
I arcsin [(n /n ) sin I ]
2 1 2 1
(a) I arcsin [(1.0/1.5) 0.5] 19.47°
2
(b) I arcsin [(1.33/1.0) 0.5] 41.68°
2
(c) I arcsin [(1.33/1.5) 0.5] 26.32°
2
4 Two 6-in-diameter optical flats are in contact at one edge and separated by
a piece of paper (0.003-in thick) at the opposite edge. When illuminated by
light of 0.000020-in wavelength, how many fringes will be seen? Assume normal
incidence.
ANSWER: The airgap is 0.003 in, or 0.003/0.000020 150 wavelengths. At one
fringe per half wavelength, there will be 300 fringes between the contact point
and the paper (or about 50 fringes per inch).
5 In Exercise 4, if the space between the flats is filled with water (n 1.333),
how many fringes will be seen?