   Chapter 27, Problem 61PE

Chapter
Section
Textbook Problem

A telescope can be used to enlarge the diameter of a laser beam and limit diffraction spreading. The laser beam is sent through the telescope in opposite the normal direction and can then be projected onto a satellite or the Moon.(a) If this is done with the Mount Wilson telescope, producing a 2.54-m-diameter beam of 633-nm light, what is the minimum angular spread of the beam?(b) Neglecting atmospheric effects, what is the size of the spot this beam would make on the Moon, assuming a lunar distance of 3.84 × 10 8 m?

To determine

(a)

What is the minimum angular spread of the beam for a telescope (2.54-m-diameter beam of 633-nm light) that can be used to enlarge the diameter of a laser beam and limit diffraction spreading, the laser beam is sent through the telescope in opposite the normal direction and can then be projected onto a satellite or the Moon?

Explanation

Given info:

λ=633nm=6.33×107mD=2.54m

Formula used:

Angle,

θ=1.22λD , λ is the wavelength and D is the diameter of the aperture, lens, mirror etc.

Calculation:

We have,

θ=1

To determine

(b)

Neglecting atmospheric effects, what is the size of the spot this beam would make on the Moon, assuming a lunar distance of 3.84×108m ?

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