Vector Wave Propagation along a Sphere
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چکیده
This setting can be generalized by replacing E by a differential 1-form ω, subject to the Maxwell-type equation (δd− k)ω = 0 [7]. Herein, d denotes the exterior derivative, and δ the co-derivative, its formal L adjoint [2,8]. The latter equation seamlessly extends to dimensions n other than 3. Moreover, it can be posed in Riemannian manifolds, while the original double curl equation relies on flat Euclidean space.
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