- #1
eadanlin
- 4
- 2
Hi, this looks stupid and simple, but I just can't get my head around it.
Assuming a homogeneous medium.
The electromagnetic continuity equation goes as
∇⋅J + ∂ρ/∂t = 0
since J = σE, ρ = ɛ∇⋅E, and assuming the time dependence exp(-iωt)
we have
σ∇⋅E - iωɛ∇⋅E = 0
(σ - iωɛ)∇⋅E = 0
So, σ - iωɛ = 0 or ∇⋅E = 0
Is it right? Thank you.
Assuming a homogeneous medium.
The electromagnetic continuity equation goes as
∇⋅J + ∂ρ/∂t = 0
since J = σE, ρ = ɛ∇⋅E, and assuming the time dependence exp(-iωt)
we have
σ∇⋅E - iωɛ∇⋅E = 0
(σ - iωɛ)∇⋅E = 0
So, σ - iωɛ = 0 or ∇⋅E = 0
Is it right? Thank you.