Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 14.1, Problem 3aT
Use trigonometry to show that the path length difference between the two scattered beams shown is equal to
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Problem 9: For a Gaussian laser beam in air with a 0.5mm waist radius and X=850nm,
a. Find the (far field) diffraction half angle and the beam waist w(z) at z=50m
b. If the laser emits 5mW, what is the peak irradiance at z=50m?
c. What near field beam waist radius is required to limit the diffracted beam diameter to 1cm
at 50m? What detector diameter is needed to encircle (detect) 50% of the power?
B) Using the properties of F.T., Calculate the F.T. of the signal
sin (3πt) sin (5πt)
t²
x(t) = 5-
S1 and S2 in the figure below are effective point sources of radiation, excited by the same oscillator. They are coherent and in phase with eachother. Placed a distance d=4.17m apart, they emit equal amounts of power in the form of 1.06m wavelength electromagnetic waves. (a) Find the positions of the first, second, and third maxima of the received signal, as the detector D is moved along the x axis starting at 0. (b) Write an equation that you could use to find the location of any minima and find the position of at least one minimum on the x axis.
Chapter 14 Solutions
Tutorials in Introductory Physics
Ch. 14.1 - In the magnified view of the slits, an arrow is...Ch. 14.1 - For what values of the path length difference...Ch. 14.1 - Suppose that a single change were made to the...Ch. 14.1 - Prob. 2aTCh. 14.1 - Prob. 2bTCh. 14.1 - Prob. 2cTCh. 14.1 - Use trigonometry to show that the path length...Ch. 14.1 - Prob. 3bTCh. 14.2 - How does the voltmeter reading compare to the...Ch. 14.2 - Prob. 1bT
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