Transcription of Maxwell’s equations • Wave equations • Plane Waves
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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 = === == = =.
Transverse Electromagnetic (TEM) wave Note that H is also perpendicular to k and also perpendicular to. E. This can be established from the expression for H. E. H. Direction of propagation. k,n. Note that: Eˆ ×H. ˆ =n. ˆ . or . k. ˆ. E. and . H. lie on the. plane of constant. phase (k · r = const)
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