Reference no: EM132599451

Question 1

Create a yu ray tracer. The focal lengths of the four lenses are A spreadsheet is convenient, but this is your tool, so use whatever works best for you. The program should fundamentally work on paraxial lens powers and spacings. You will need the ability to trace both forwards and backwards through a system.

f1=100mm, f2?=-50.0mm, f3=80.0mm and f4?=-280mm. The separation between the lenses are t1?=20.0mm, t2 ?=40.0mm, and t3 ?=30.0mm.

Where is the image located if the object is 400 mm from the first lens? Express your answer in mm using three significant figures.

Question 2

For the previous question, what is the magnification of the system? Express your answer with three significant figures.

Question 3

Two positive thin lenses are separated by a distance of d. The focal lengths of the lenses are f1 ?=10.0cm and f2?=20.0cm. The desired throw of the system, the object to image distance, is T=80.0cm and the desired magnification is M=-1.10x.

Use what you know about the conjugate matrix for a two lens system to solve to the distance between the lenses. Express your answer in cm with three significant figures.

This and the following problems require some significant algebra. While not required, you are welcome to use a program such as Matlab for these problems. You will find two possible solutions to this and the following problems. Either is acceptable.

Question 4

For the previous questions, where should be the object be placed? Express the distance between the object and the first lens in cm with three significant figures.

Question 5

For the previous question, where will the image be found - what is the distance between the image and the second lens in cm? Express your answer with three significant figures.