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Stokes vectors and fractional polarisation

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I am struggling to be able to write this problem as a Stokes vector. I understand how to set it up, but am not sure if you need two separate vectors that you combine or just one. Any help would be greatly appreciated.

The scenario is one where there is a light source scattering off two dust clouds in a nearby galaxy so that the light is fully linearly polarized in the horizontal plane for one cloud and the vertical plane for the other cloud. The first cloud, 1 say, has PA=0° and cloud 2 corresponds to PA=90°. These are combined by a telescope to form one bright spot in an image. How would you write down a Stokes vector to represent the polarization state of the combined light if the scattered light from cloud 1 and 2 have intensities of 5 pW/m2 and 1 pW/m2 respectively?

I have tried this by creating a Stokes vector each (with Q +ve being horizontal) and by creating a Stokes vector for each cloud and then multiplying them, but am not sure this is the correct way to go about solving it. How would I find the fractional polarisation of the combined light when I have the Stokes vector?

vectors physics

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edited Mar 11 at 19:03

J. W. Tanner

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asked Mar 11 at 18:52

CosmocomputerCosmocomputer

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Cosmocomputer is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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0

$begingroup$

I am struggling to be able to write this problem as a Stokes vector. I understand how to set it up, but am not sure if you need two separate vectors that you combine or just one. Any help would be greatly appreciated.

The scenario is one where there is a light source scattering off two dust clouds in a nearby galaxy so that the light is fully linearly polarized in the horizontal plane for one cloud and the vertical plane for the other cloud. The first cloud, 1 say, has PA=0° and cloud 2 corresponds to PA=90°. These are combined by a telescope to form one bright spot in an image. How would you write down a Stokes vector to represent the polarization state of the combined light if the scattered light from cloud 1 and 2 have intensities of 5 pW/m2 and 1 pW/m2 respectively?

I have tried this by creating a Stokes vector each (with Q +ve being horizontal) and by creating a Stokes vector for each cloud and then multiplying them, but am not sure this is the correct way to go about solving it. How would I find the fractional polarisation of the combined light when I have the Stokes vector?

vectors physics

share|cite|improve this question

edited Mar 11 at 19:03

J. W. Tanner

3,3351320

asked Mar 11 at 18:52

CosmocomputerCosmocomputer

1

New contributor

Cosmocomputer is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

add a comment | 

$begingroup$

I am struggling to be able to write this problem as a Stokes vector. I understand how to set it up, but am not sure if you need two separate vectors that you combine or just one. Any help would be greatly appreciated.

The scenario is one where there is a light source scattering off two dust clouds in a nearby galaxy so that the light is fully linearly polarized in the horizontal plane for one cloud and the vertical plane for the other cloud. The first cloud, 1 say, has PA=0° and cloud 2 corresponds to PA=90°. These are combined by a telescope to form one bright spot in an image. How would you write down a Stokes vector to represent the polarization state of the combined light if the scattered light from cloud 1 and 2 have intensities of 5 pW/m2 and 1 pW/m2 respectively?

I have tried this by creating a Stokes vector each (with Q +ve being horizontal) and by creating a Stokes vector for each cloud and then multiplying them, but am not sure this is the correct way to go about solving it. How would I find the fractional polarisation of the combined light when I have the Stokes vector?

vectors physics

share|cite|improve this question

edited Mar 11 at 19:03

J. W. Tanner

3,3351320

asked Mar 11 at 18:52

CosmocomputerCosmocomputer

1

New contributor

Cosmocomputer is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

share|cite|improve this question

edited Mar 11 at 19:03

J. W. Tanner

3,3351320

asked Mar 11 at 18:52

CosmocomputerCosmocomputer

1

New contributor

Cosmocomputer is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

share|cite|improve this question

edited Mar 11 at 19:03

J. W. Tanner

3,3351320

asked Mar 11 at 18:52

CosmocomputerCosmocomputer

1

New contributor

Cosmocomputer is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

edited Mar 11 at 19:03

J. W. Tanner

3,3351320

edited Mar 11 at 19:03

J. W. Tanner

3,3351320

asked Mar 11 at 18:52

CosmocomputerCosmocomputer

1

New contributor

Cosmocomputer is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked Mar 11 at 18:52

CosmocomputerCosmocomputer

1