TY - CHAP A1 - Masao Kitano ED1 - Victor Barsan ED2 - Radu P. Lungu Y1 - 2012-03-23 PY - 2012 T1 - Reformulation of Electromagnetism with Differential Forms N2 - Among the branches of classical physics, electromagnetism is the domain which experiences the most spectacular development, both in its fundamental and practical aspects. The quantum corrections which generate non-linear terms of the standard Maxwell equations, their specific form in curved spaces, whose predictions can be confronted with the cosmic polarization rotation, or the topological model of electromagnetism, constructed with electromagnetic knots, are significant examples of recent theoretical developments. The similarities of the Sturm-Liouville problems in electromagnetism and quantum mechanics make possible deep analogies between the wave propagation in waveguides, ballistic electron movement in mesoscopic conductors and light propagation on optical fibers, facilitating a better understanding of these topics and fostering the transfer of techniques and results from one domain to another. Industrial applications, like magnetic refrigeration at room temperature or use of metamaterials for antenna couplers and covers, are of utmost practical interest. So, this book offers an interesting and useful reading for a broad category of specialists. BT - Trends in Electromagnetism SP - Ch. 2 UR - https://doi.org/10.5772/32871 DO - 10.5772/32871 SN - PB - IntechOpen CY - Rijeka Y2 - 2019-11-15 ER -