Polarization state conventions

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Circularly polarized light can be classified as left or right depending on the direction of the electric field vector's rotation, which is independent of the observer's perspective. When observing a counterclockwise rotating electric field coming towards you, it is considered right-circularly polarized, despite the confusion in some texts. The initial phase in equations determines the wave's starting point; a wave with an initial phase of +π/2 is further along the x-axis than one with no initial phase. Whether a wave is leading or lagging depends on the definition used, with an increasing phase indicating that a wave with +π/2 is leading. Clarifying these definitions is crucial for accurate understanding in polarization discussions.
leroyjenkens
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Ok, so I keep reading about these concepts and every source says something different. Even within the same textbook, it says conflicting things.
So you have a circularly polarized light that is coming TOWARDS you. That is considered left-circularly polarized or right-circularly polarized? I've seen both stated.
And if you have two equations, one with no \epsilon given for the initial phase, and the other with an initial phase of +\pi/2, which one is lagging and which one is leading? I've seen sources that say the no initial phase is leading and some that say the no initial phase is lagging.
Thanks
 
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leroyjenkens said:
So you have a circularly polarized light that is coming TOWARDS you. That is considered left-circularly polarized or right-circularly polarized? I've seen both stated.
It can be both, depending on its polarization ;). "Left" and "right" is independent of your viewing direction.

And if you have two equations, one with no \epsilon given for the initial phase, and the other with an initial phase of +\pi/2, which one is lagging and which one is leading? I've seen sources that say the no initial phase is leading and some that say the no initial phase is lagging.
Thanks
Depending on the definition of that phase in your equation.
 
I left out part of my question on that first one. I meant to ask if the electric field vector is rotating counter clockwise, with you seeing it as it's coming towards you, is that right-circularly polarized or left-circularly polarized. My book says right, which seems backwards. It's rotating left, but it's called right?

The definition of the phase in the equation is where the wave starts. So if it has +π/2 as its initial phase, that means it starts further along the x-axis (one half wavelength further) than the other wave. Is that considered leading or lagging?

Thanks.
 

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