Two converging lenses, with focal lengths f1 and f2 are positioned a distance  f1 + f2 apart, as shown in the figure below. Arrangements like this are called beam  expanders and are often used to increase the diameters of light beams from lasers. a. If W1 is the incident beam width, show that the width of the emerging beam is  W2 = f2/f1 * W1 b. Show how a combination of one diverging and one converging lens can also be  arranged as a beam expander. Incident rays parallel to the axis should exit  parallel to the axis c. Calculate the ratio of the intensity of the beam emerging from the beam  expander to the intensity of the laser beam.

University Physics Volume 1
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ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter2: Vectors
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Two converging lenses, with focal lengths f1 and f2 are positioned a distance 
f1 + f2 apart, as shown in the figure below. Arrangements like this are called beam 
expanders and are often used to increase the diameters of light beams from lasers.

a. If W1 is the incident beam width, show that the width of the emerging beam is 
W2 = f2/f1 * W1
b. Show how a combination of one diverging and one converging lens can also be 
arranged as a beam expander. Incident rays parallel to the axis should exit 
parallel to the axis

c. Calculate the ratio of the intensity of the beam emerging from the beam 
expander to the intensity of the laser beam. 

W₁I
W₂
Transcribed Image Text:W₁I W₂
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