I do not even really know where to begin with this problem.(adsbygoogle = window.adsbygoogle || []).push({});

Any help would be great.

Q. Write an expression for a P-State (linearly polarized) lightwave of angular frequency [tex]\omega[/tex] and amplitude [tex]E_{0}[/tex] propogating along a line in the xy-plane at 45 degress to the x-axis and having its plane of vibration corresponding to the xy-plane. At t=0, y=0 and x=0 the field is zero.

Like I said, I don't even know where to start. This prof is miserable, and the book is light on examples and explanations.

I am figuring the equation will be of the form [tex] \vec{E}=(\tilde{i}E_{0x}+\tilde{j}E_{0y})cos(kz-\omega t) [/tex]

This would be a wave traveling along the z-axis, so I expect that I have to change this term with a vector specifying the path 45 degrees from the x-axis. But how to do this? The prof did give a hint that we need to perform an operation of taking the dot product of two vectors, say k dot r. He was very vague, in fact down right confusing after that.

Thanks in advance.

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# P-State Lightwave question

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