One question when we have a unpolarized ray and enters the polarized

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When an unpolarized ray enters a polarizing sheet, it becomes polarized. The intensity of light passing through a second polarizing sheet at an angle alpha can be calculated using the formula I=I0 cos^2(angle), where the angle is defined as the angle between the electric field vector of the incident light and the plane of polarization of the polarizer. If the electric field is aligned parallel to the polarizer, the intensity is maximized, while an angle of 90 degrees results in no transmission. The magnetic field is inherently affected by the selection of the electric field component since electromagnetic waves consist of transverse electric and magnetic fields that are perpendicular to each other. Understanding the behavior of the electric field allows for a natural inference about the magnetic field's behavior.
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one question when we have a unpolarized ray and enters the polarized sheet it becomes polarized right , after that if i want to enter it to another polarized sheet with angle alpha with the y-axis there is a formula to find the intensity of the new light which is proportional to an angle I=I0 cos^2(angle) here is my question what is this angle i couldn't slove one question right due to this angle can you please help me know how to specify this angle once and for all?? thank you
 
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It's the angle between the E vector of the incident light and the (defined) plane of polarisation of the polariser. When orientated parallel with the incoming polarisation (angle = zero) you get everything through and when at right angles, you get nothing.

Have you looked at any diagrams in the hundreds of www pages which Google can give you? What I have seen has not been confusing or contradictory.

This is easy as long as you restrict your attention to the E field. The H field takes care of itself.
 


thank you very much i got it and yes I've looked and got what i needed to know one thing why doesn't it interfere with the magnetic field??
 


Of course it interferes with the Magnetic Field. EM waves have transverse E and M fields which are at right angles. By selecting a particular component of the E field you are also selecting a particular component of the H field.
The point I am making is that you only need to specify what happens to the E field - what happens to the H field follows naturally so you don't need to state it.
 
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