Polarization state conventions

[leroyjenkens]

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

 

[mfb]

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.

 

[leroyjenkens]

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.

 

[mfb]

Still depends on the definition.

If your phase is increasing and one is leading by pi/2, then this is leading.

 

[sardar]

As a scientist, it is important to understand that scientific concepts and conventions can vary slightly between sources and may even change over time as new research and understanding emerges. In the case of polarization state conventions, it is important to consult reliable sources and understand the context in which the concepts are being discussed.

To address the first part of your question, circularly polarized light can be described as either left-circularly polarized or right-circularly polarized depending on the direction of the electric field vector. This can be confusing because the direction of the electric field vector is often represented using a right-hand rule, which can be interpreted differently depending on the orientation of the observer. It is important to clarify which convention is being used in a particular source to avoid confusion.

Regarding the second part of your question, the initial phase in equations for polarization often refers to the initial position of the electric field vector in its oscillation cycle. In this case, a phase of +π/2 would correspond to a lagging state, while no initial phase would correspond to a leading state. Again, it is important to consult reliable sources and understand the context in which these conventions are being used.

In summary, it is important to carefully consider the context and conventions being used when studying scientific concepts such as polarization states. Consulting multiple reliable sources and seeking clarification when needed can help to ensure a thorough understanding of the topic.