Some variational principles for discontinuous Maxwell's equations


Altay G., Dokmeci M.

INTERNATIONAL JOURNAL OF ELECTRONICS, cilt.87, sa.10, ss.1269-1280, 2000 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 87 Konu: 10
  • Basım Tarihi: 2000
  • Doi Numarası: 10.1080/002072100415701
  • Dergi Adı: INTERNATIONAL JOURNAL OF ELECTRONICS
  • Sayfa Sayıları: ss.1269-1280

Özet

In this paper, some variational principles are derived to directly calculate dielectric problems featuring a discontinuous surface. First, a two-field variational principle is deduced from Hamilton's principle for a regular dielectric region. Next, this variational principle is augmented through an involutory transformation, and then a twelve-field variational principle is formulated which generates, as its Euler-Lagrange equations, Maxwell's equations with discontinuous electromagnetic fields.