I Understanding the Expression for a Linear EM Wave Transmission?

AI Thread Summary
The discussion centers on clarifying an expression for a linear electromagnetic wave transmission found in a textbook. The user questions whether the expression represents the total electric wave transmitted and seeks an explanation for deriving one expression from another. Confusion arises from the notation and subscripts used in the equations, indicating a need for further clarification. Participants suggest that additional context or examples are necessary to fully understand the derivation and application of the expressions. Overall, the conversation highlights the complexity of electromagnetic wave equations and the importance of clear notation in understanding them.
happyparticle
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Hi,
I have an expression in my textbook that I don't really understand.
I have 2 questions regarding this expression for a linear EM wave## \tilde{\vec{E_{0i}}} = (E_{0x} \hat{x} \pm E_{0y} \hat{y}) e^{i(kz- \omega t)}##
## \tilde{\vec{E_{0t}}} = (\sum_j E_{oij} e_{pj}) \hat{e_p} ##
## \tilde{\vec{E_{0t}}} = E_0 cos \theta \hat{x} + E_0 sin \theta \cdot 0## where ##\hat{p_j} = \hat{x}##

First of all, is it the total electric wave transmitted? and secondly, can someone explain me how we get the last expression from de second?
 
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Can you give a source where this came from? It looks like class notes where they may have made a mistake and/or left out a step or two.
 
Yes, what @Charles Link said. Those subscripts are really confusing. We need to see more.
 
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