Transcription of Maxwell’s equations • Wave equations • Plane Waves
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Maxwell’s equations • Wave equations • Plane Waves
Massachusetts Institute of Technology RF Cavity and Components for Accelerators 1 Massachusetts Institute of Technology RF Cavity and Components for Accelerators USPAS 2010 Maxwell s equations Wave equations Plane Waves Boundary conditionsA. Nassiri -ANLL ecture1-ReviewMassachusetts Institute of Technology RF Cavity and Components for Accelerators 2 Maxwell s EquationsThe general form of the time-varying Maxwell s equations can be written in differential form as:0= = = += BDBEDJH ttMassachusetts Institute of Technology RF Cavity and Components for Accelerators 3A few other fundamental relationshipsH/m104 F/m,108548with ity)(permeabil and ity)(permittiv hereips"relationsh veconstituti" equation" continuity" law" sOhm'" 7012000 = === == = =.
Maxwell’s equations in differential form require known boundary. values in order to have a complete and unique solution. The . so called boundary conditions (B/C) can be derived by considering. the integral form of Maxwell’s equations. ε 1µ 1σ 1 n ε 2µ 2σ 2
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