In-plane wave vector of em wave

AI Thread Summary
The in-plane wave vector of a propagating plane electromagnetic wave indicates the direction of propagation relative to a specific medium or geometry. It does not refer to the plane of constant phase but rather to the context of the problem being analyzed. For instance, in a hexagonal crystal, the in-plane component is parallel to the a-b planes and perpendicular to the c-axis. Understanding this distinction is crucial for analyzing wave behavior in various materials and interfaces. The discussion highlights the importance of context in defining wave vector components.
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We all know that the wave vector of a propagating plane electromagnetic wave indicates the direction of propagation. What does it mean by the "in-plane" wave vector of that plane wave?
 
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Depends on the relation of the wave to a medium, interface or scattering geometry.

in-plane almost certainly does not refer to the plane of constant phase of the wave, but to a plane of the rest of the problem.

For example, if your wave is propagating inside a hexagonal crystal, in-plane will refer to the component parallel to the a-b planes of the crsytal (or perpendicular to the c-axis)
 
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