Debye Sources, Beltrami Fields, and a Complex Structure on Maxwell Fields
Debye Sources, Beltrami Fields, and a Complex Structure on Maxwell Fields
Abstract The Debye source representation for solutions to the timeāharmonic Maxwell equations is extended to bounded domains with finitely many smooth boundary components. A strong uniqueness result is proved for this representation. Natural complex structures are identified on the vector spaces of timeāharmonic Maxwell fields. It is shown that these ā¦