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- Homework Statement
- Find an expression for a magnetic field B(X,t) from a given electric field in a monochromatic plane wave solution E(X,t) using Maxwell's equations.

- Relevant Equations
- E(X,t) = εe^i(kX-ωt) , X = (x1,x2,x3) , k = (kx1,kx2,kx3) , ω = c|k| , k·ε = 0

ε is a complex vector

Here this is my attempt :

I stuck at the last step , I really have no idea what to do next.

**Reference Textbook : Zangwill's Modern Electrodynamics**I stuck at the last step , I really have no idea what to do next.

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