ACBD Matrix Formalism - Engineering Assignment Help

Assignment Task

Problem 1. ACBD Matrix Formalism
For the lens described below use a software package of your
choice (excel, MATLAB, etc) to implement ABCD matrix formalism to draw 3 rays
through the lens, with the following conditions outlined below. Lens: n=1.55, R1=28cm, R2=-22cm, d=9cm.
A collimated beam, 3 rays, different heights, transverse a distance 100 cm past the last lens surface
3 rays, different angles, from an object point 20 cm to the left of the first lens surface, on the optical axis. Track the rays to 100 cm past the last lens surface
3 rays, different angles, from an object point 20 cm to the left of the first lens surface, a height of 1 cm above the optical axis. Track the rays to 100 cm past the last lens surface
What is the optical system doing?
What assumptions are you making to use ABCD matrix formalism?

Problem 2. Zemax
Use Zemax to insert a doublet lens with a focal length between 12 and 20 mm. 
Describe the lens that you picked.
Pass collimated light of width 3 mm into the lens. Generate a plot of the focus for 500 nm light, 575 nm light and 625 nm light. Comment on the spot size, spot shape and aberrations.
Flip the orientation of the lens and carry out the same analysis stated in part a. Which orientation provides a better spot profile? Why do you think that is the case?
Repeat b and c with collimated light of width 15 mm. Do you observe any differences in the spot size, shape or aberrations? Why do you think this is the case?
Problem 3. ZEMAX IIDesign a simple one dimensional scanner with a mirror and lens. The desired spot size for the scanner is 12 microns. The light source has flat spectrum from 530nm to 560nm. The input to the scanner is collimated light. The mirror will be used to deflect the collimated light and redirect it to the lens. After the lens the light will be focused. As the mirror’s angle is changed the focused point scans laterally.

For each of the following conditions in a) – c) plot the MTF, PSF, and measure FWHM for the x-and y-directions, describe any aberrations.

a) Mirror angled at 45 degrees

b) Mirror angled such that the lateral range produces a FWHM equal to a 10% increase in FWHM measured in part 1.

c) Mirror angled such that the lateral range produces a FWHM equal to a 30% increase in FWHM measured in part 1.

d) What is the lateral range that you are able to scan while maintaining at most a 30% increase in the FWHM? Is the axial position of the focus the same while you are scanning?

e) In a few sentences describe your design process? How did you choose the len(s) that you used? How did you determine what beam diameter to put into your scanner?

f) Use a few sentences to describe how you may go about improving the scanner, so that it maintains the same lateral range but with only a 10% change in spot size.

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