Say that E = Ãek™, where the components of A and k are real and constant, i.e. they aren't imaginary and don't depend on x, y, and z. Is it true that V · Ē = ik · Ē?
Say that E = Ãek™, where the components of A and k are real and constant, i.e. they aren't imaginary and don't depend on x, y, and z. Is it true that V · Ē = ik · Ē?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Say that **\(\vec{E} = \vec{A} e^{i \vec{k} \cdot \vec{r}}\)**, where the components of \(\vec{A}\) and \(\vec{k}\) are real and constant, i.e., they aren't imaginary and don't depend on \(x\), \(y\), and \(z\).
Is it true that \(\nabla \cdot \vec{E} = i \vec{k} \cdot \vec{E}\)?
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