Example-of-ABCD-Matrices PDF

Preview

Summary

Example-of-ABCD-Matrices...

Description

Module 5: Example of ABCD matrices Course 1 of Optical Engineering: First Order Optical System Design with Dr.

Robert R. McLeod and Dr. Amy C. Sullivan

Example: Doublet lens

0

1 2

3

4

f1 f 2 f3

Using ABCD matrices: 𝑦* 𝑦% # = T" R" T( R( T) R) T* 𝑢*# 𝑢% T8 =

1 0

𝑑8#

Image Note reverse order!

1 R8 = − 𝜙 ⁄ 𝑛# 8 8

1

Object

=

2.8488 − −0.01427

𝑑"# = 199.685 ✓

10

2

𝑑#"

0

𝑛8 ⁄𝑛8#

0 1 0 1 𝑑"# 1 0 1 2 # = 𝑢% 0 1 0 1.6 0 1 0.00125 0.9375 1 10 1 0 1 300 0 0 1 −0.0067 0.667 0 1 0.01

0.014277𝑑#"

300

n=1.5 n=1.6

0

Surface k

1 0.02

c Surfaces

1

n¢ System

fk =1/f

0.01

d k¢ Axial ray

yk u ¢k

1.5

.01

2 2.8667

-.0133

1 0

-0.002

3

0

0

1.6

10

300

4

3

2 -0.02

199.7

2.8488

-0.0089 -0.0143

0...