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## Homework Statement

Hello i am trying to write the Stokes parameters as the amplitude of the averaged EM-wave

We know the stokes parameters are {I,M,C,S} or {S

_{0},S

_{1},S

_{2},S

_{3}} thus a column vector.

And S

_{0}is defined as S

_{0}=<E

^{2}

_{x0}>

_{T}+<E

^{2}

_{y0}>

_{T}

S

_{0}i understand how it was derived since Filter 0 is an isotropic filter it doesnt have any direction preference.

But now comes my problem i`m attempting to derive

S

_{1}=<E

^{2}

_{x0}>

_{T}-<E

^{2}

_{y0}>

_{T}

## Homework Equations

Eq1 S

_{0}=2I

_{0}

Eq2 S

_{1}=2I

_{1}-2I

_{0}

Whereby I

_{1}is the transmitted irradiance through a horizontal polarizing filter.

## The Attempt at a Solution

[/B]

We know I

_{0}=(1/2)*(<E

^{2}

_{x0}>

_{T}+<E

^{2}

_{y0}>

_{T})

and I

_{1}=(1/2)*<E

^{2}

_{x0}>

_{T}

Thus if i now substitute I

_{0}and I

_{1}into Eq 2 i get S

_{1}=-<E

^{2}

_{y0}>

_{T}where as it is supposed to be

S

_{1}=<E

^{2}

_{x0}>

_{T}-<E

^{2}

_{y0}>

_{T}

I think the problem sits in the definitions of I

_{0}and I

_{1}so if you see which thinking step im doing wrong i would appreciate your help.