Transcription of Lecture: Maxwell’s Equations - Fermilab
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Lecture: Maxwell’s Equations - Fermilab
Lecture: Maxwell s EquationsMicrowave Measurement and Beam Instrumentation Courseat Jefferson Laboratory, January 15-26th2018F. MarhauserMonday, January 15, 2018 This Lecture This lecture provides theoretical basics useful for follow-up lectureson resonators and waveguides Introduction to Maxwell s Equations Sources of electromagnetic fields Differential form of Maxwell s equation Stokes and Gauss law to derive integral form of Maxwell s equation Some clarifications on all four Equations Time-varying fields wave equation Example.
Example: Plane Wave in Free Space ( N , P)= 0∙ ∙ Ü = 0∙ -k is a wave vector pointing in direction of wave propagation ( N , P)= - Wave is unconstrained in plane orthogonal to wave direction, i.e. has surfaces of constant phase (wavefronts), wave vector k is perpendicular to the wavefront - In Cartesian coordinates: ( T, U, V, P)= 0∙
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