HW 4_S12 Solutions
1. Imagine a hemispherical interface, with a radius of curvature of radius 5.00 cm, separating two
media: air on the left, water on the right. A 3.00-cm-tall toad is on the central axis, in air, facing the
convex interface and 30.0 cm f
Final Exam Sample
Waves and Optics
Directions:
1.
You may use two single-sided, 8.5x11 pages of notes for this exam.
2.
Do your own work.
3.
You have until the end of the class.
4.
Im able to give partial credit if you show your work.
5.
100 pts total.
Be
Name:
Waves and Optics
Exam II
Do your own work.
You may use 1 side of 1 piece of 8.5x11
paper of notes.
You may use a calculator.
Page 1
(28 pts)
1.
An electromagnetic wave is specified (in SI units) by the following function:
r
i (2x1014 s 1 ( x / c t )
Exam I
Waves and Optics
Fall 2015
(Each problem is worth equal points.)
Instructions:
Do your own work.
Closed book exam.
You can use one side of one 8.5x11 piece of paper with notes.
You can use a calculator.
Be sure to answer and do all parts of each qu
Homework 10
Waves and Optics
1. An electromagnetic wave is specified (in SI units) by the following function:
(a) What is the direction along which the electric field oscillates?
(b) What is the scalar value of the electric field amplitude?
(c) What is th
Homework 9
Waves and Optics
1. Write an expression for the wave shown below. Find its wavelength, velocity, frequency, and period.
2.
3. Write an expression in Cartesian coordinates for a harmonic plane wave of amplitude A and
frequency propagating in the
Waves and Optics
Homework 8 Solutions
1. Consider the pulse described in terms of its displacement at t=0 by
3.
where C is a constant. Draw the wave profile. Write an expression for the wave, having a speed v,
moving in the negative x-direction, as a func
Homework 12
Waves and Optics
1. The dispersion curve of glass can be represented approximately by Cauchys
empirical equation, n = A + B/2 Find the phase and group velocities for light of
500 nm wavelength in a particular glass for which A = 1.40 and B = 2
HW 5 S12 solns
HW 3_F11
1. Design a little dentist mirror to be fixed at the end of a shaft for use in the mouth. The requirements
are (i) the image seen by the dentist must be erect and (ii) when the mirror is held 1.5 cm from a tooth
the mirror produces
Homework 14
Waves and Optics
1. Using the Fourier transform, determine the power spectrum of a single square
pulse of amplitude A and duration o . Sketch the power spectrum, locating its
zeros, and show that the frequency bandwidth for the pulse is invers
HW 3_S12 solution
1. A narrow beam of white light is incident at 60 degrees on a sheet of glass 10 cm thick in air. The index of
refraction for red light is 1.505 and for violet light is 1.545. Again feel free to leverage the results you
derived in homewo
Homework 11
Waves and Optics
1. Determine the resultant of the superposition of the parallel waves E1 = E01sin(t+1) and E2 =
E02sin(t+2) when =120, E01 = 6, E02 = 8, 1=0, and 2= /2. Plot each function and the resultant.
2. Answer the following:
(a) How ma
HW 6_S12_solns
Homework 6
Waves and Optics
1. Thorlabs sells a multimode fiber with a 365 m core silica fiber for use over the visible spectrum and into the near
infrared. The fiber has an NA of 0.22. Consider a wavelength of 1550nm. What must be the inde
Homework 13
Waves and Optics
1. A thin film of ethyl alcohol (n=1.36) spread on a flat glass plate and illuminated
from above with white light shows a color pattern in reflection. If a region of the
film reflects only green light with a 500nm wavelength,