Simple question in Del operator on plane wave equation

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SUMMARY

The discussion centers on the application of the Del operator on a vector field, specifically in the context of the plane wave equation. Participants clarify that the Del operator does not remove the exponential term from the vector field A, as the exponential is an integral part of the vector field representation. The confusion arises from the interpretation of the operator's effect on the field, emphasizing that the exponential remains present throughout the operation.

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  • Familiarity with plane wave equations in physics
  • Knowledge of vector fields and their representations
  • Basic principles of differential operators
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baby_1
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Hello
question is:
As you see when we do del operator on A vector filed in below example it removes exponential form at the end.why does it remove exponential form finally?
7575182400_1413042051.jpg
 
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It doesn't. The exponential is part of ##\vec{A}##.
 
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