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Chapter 35: Q. 28 (page 1018)

A common optical instrument in a laser laboratory is a beam expander. one type of beam expander is shown in FIGURE P35.28.

a. For what lens spacing d does a parallel laser beam exit from

the right?

b. What is the width of the exiting laser beam?

Short Answer

Expert verified

a. Lens spacing d does a parallel laser beam exit from the right d=f1+f2.

b. The width of the exiting laser beam is蝇2=f2f1蝇1.

Step by step solution

01

part(a) Step 1: Given information

We need to find what lens spacing d does a parallel laser beam exit from the right.

02

part(a) Step 2: Explanation

We find this distance as the sum of the focal length of the first lens and the focal length of the second lens:

d=f1+f2

03

part (b) step 1: Given Information

We need to find the width of the exiting laser beam.

04

part (b) step 2: Simplification

let us find width 蝇2,

蝇2蝇1=f2f1蝇2f1=蝇1f1蝇2=f2f1蝇1

Here, 蝇1is the width of the first lens,蝇2is the width of the second lens, role="math" localid="1650107475863" f1andf2is the focal length of first lens and second lens.

05

part (b) step 3: Diagram

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Most popular questions from this chapter

A scientist needs to focus a helium-neon laser beam (位=633nm)to a 10-渭m-diameterspot 8.0cmbehind a lens

(a) what focal-length lens should she use?

(b) what minimum diameter must the lens have?

Two light bulbs are 1.0mapart. from, what distance can these light bulbs be marginally resolved by a small telescope with a 4.0-cm-diameterobjective lens? assume that the lens is diffraction limited and位=600nm.

Once dark adapter, the pupil of your eye is approximately 7mmdiameter. The headlights of an oncoming car are 120cmapart. if the lens of your eye is diffraction-limited, at what distance are the two headlights marginally resolved? assume a wavelength of 600nmand that the index of refraction inside the eye is 1.33

(Your eye is not really good enough to resolve headlight at this distance, due both to aberrations in the lens and to the size of the receptors in your retina, but it comes reasonably close.

In figure p35.26, parallel rays from the left are focused to a point at two locations on the optical axis. find the position of each location, giving your answer as a distance left or right of the lens.

A 2.0-cm-tall object is 20cmto the left of a lens with a focal length of10cmA second lens with a focal length of 15cmis30cmto the right of the first lens.

a. Use ray tracing to find the position and height of the image. Do this accurately using a ruler or paper with a grid, then make measurements on your diagram.

b. Calculate the image position and height. Compare with your ray-tracing answers in part a.
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