【正文】
? Conductive media DC – 3D – Inplane – Axisymmetric ? Electrostatics – 3D – Inplane – Axisymmetric ? Magostatics – 3D – 3D no currents – Inplane (two cases dependent on current direction) – Axisymmetric (two cases dependent on current direction) Low Frequency Modeling ? What is low frequency? – Low frequency when the electrical device size is less than x Wavelength – The device does not “see” the electromagic wave but just a uniform time varying electric field l Electrical size x l Application modes – Low Frequency Electric (E), Magic (M) or Electromagic (EM) ? 3D Time Harmonic E, M, and EM ? 3D Transient E ? Inplane E, M and EM – Time Harmonic and Transient (E and M) ? Axisymmetric E, M and EM – Time Harmonic and Transient (E and M) Application modes – Electromagic Waves ? 3D Waves – Source driven or mode analysis ? TE or TM Polarized waves (2D) – Source driven or mode analysis ? Inplane ? Axisymmetric ? Crosssectional (guided waves mode analysis only) ? Hybrid modes (2D, neither TE nor TM) – Source driven or mode analysis ? Inplane – Mode analysis ? Crosssectional (guided waves mode analysis only) Maxwell’s Equations ttt??????????????????????????JBDBEDJH0? MaxwellAmpere’s law ? Faraday’s law ? Gauss’law, electric ? Gauss’law, magic ? Equation of Continuity Potentials Magic Vector Potential, A Electric Potential, V Magic Scalar Potential, Vm mVtV????????????HAEABConstitutive Relations rrrDEDPEDED??????????000rrrBHBMHBHB???????????00002nd Order PDEs Electrostatics, unknown V: Quasistatics, unknown H: 0))((0))(()(000???????????????????????ererrVtVVjVJJP??????????0))(( 010 ??????????? ? HvJHH e rrt ?????Small c