{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# HW8+Sol - Homework 8 with Solutions(1 Using Stokes Vectors...

This preview shows pages 1–4. Sign up to view the full content.

Homework 8 with Solutions (1) Using Stokes Vectors and Müller Matrices calculate the output polarization for an input polarzation of 45 o after the following for elements in series i. Polarizer at 60 0 ii. Polarizer at 45 o iii. λ / 2 plate oriented with slow axis at 0 o iv. λ / 4 plate oriented with slow axis at 45 o First the intuitive solution: First element: Changes polarization to 60 Second element: Changes polarization back to 45 Third element: Changes polarization to –45 Fourth element: does not do anything Input Polarization: 1 0 1 0 " # \$ \$ \$ % & After first element: cos15 0 ( ) 2 1 " 0.5 3 2 0 # \$ % % % & ( ( ( After second element cos15 0 ( ) 4 1 0 1 0 " # \$ \$ \$ % & After third element cos15 0 ( ) 4 1 0 " 1 0 # \$ % % % & ( ( (

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
After fourth element cos15 0 ( ) 4 1 0 " 1 0 # \$ % % % & ( ( (
What kind of matrices to we need ? First element: 1 0 0 0 0 cos " 120 sin " 120 0 0 " sin " 120 cos " 120 0 0 0 0 1 # \$ % % % & ( ( ( 1 2 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 1 # \$ % % % & ( ( ( 1 0 0 0 0 cos " 120 " sin " 120 0 0 sin " 120 cos " 120 0 0 0 0 1 # \$ % % % & ( ( ( = 1 2 1 " 0.5 3 2 0 " 0.5 0.25 " 3 4 0 3 2 " 3 4 0.75 0 0 0 0 0 # \$ % % % % % 1 2 1 " 0.5 3 2 0 " 0.5 0.25 " 3 4 0 3 2 " 3 4 0.75 0 0 0 0 0 # \$ % % % % % & ( ( ( ( ( 1 0 1 0 # \$ % % % & ( ( ( = 0.933013 " 0.466506 0,808012 0 # \$ % % % & ( ( ( = 0.933013 1 " 0.5 3 2 0 # \$ % % % & ( ( ( Second element: Polarizer at 45: 1 2 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 " # \$ \$ \$ % & 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 " # \$ \$ \$ % & 0.933013 ( 0.466506 0.808012 0 " # \$ \$

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}