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Chapter 35: Q. 29 (page 1018)

A common optical instrument in a laser laboratory is a beam expander. One type of beam expander is shown in FIGURE P 35.29. The parallel rays of a laser beam of width w1 enter from the left.

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

b. What is the width w2 of the exiting laser beam?

Short Answer

Expert verified

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

b. The width w2 of the exiting laser beam isw2=f2f1w2.

Step by step solution

01

Part (a) Step 1: Given Information.

We need to find out d's lens spacing a parallel leaser beam exit from the right.

02

Part (b) Step 2: Diagram explanation.

We see the following from the picture which is given below:

d=f2-f1

If f1<0, which is equivalent to:

d=f2+f1

Here, dis the distance between lens, f1andf2is the focal length of the first and second lens respectively.

03

Part(b) Step 1: Given Information.

We need to find out the width w2leaser beam.

04

Part (b) Step 2: Explanation.

As we know that to find width w2

Triangles a from above picture, we can get the values for w2:

w1f1=w2f2鈬�w2=f2f1w1

Here, w1andw2is the width of first lens and second lens and f1,f2are the focal length of first and second lens respectively.

So, if is f2>f1and our conclusion show that is w2>w1.

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