formula sheet 2

formula sheet 2 - Forumla Sheet, ECSE352: Electromagnetic...

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Unformatted text preview: Forumla Sheet, ECSE352: Electromagnetic Waves ECSE 352 EM Waves: Formula sheet TIME-VARYING FIELDS AND MAXWELLS EQUATIONS Constants: =8.854 x 10-12 F/m =4 x 10-7 H/m =377 c =3 x 10 8 m/s Integral Form Differential Form Constitutive Relations and Boundary Conditions = = + = = S S S l S l d Q d d dt d I d d dt d d S S S l S l B D D H B E = = + = = B D D J H B- E t t D = E H = B / a n 2 ( D 1 D 2 ) = s a n 2 ( H 1 H 2 ) = J s E t 1 = E t 2 B n 1 = B n 2 Source free wave equations: 1 2 2 2 2 = t u E E 1 2 2 2 2 = t u H H Phasors: ( ) ( ) [ ] t z y x e z y x t z y x t j cos ) , , ( , , , , , E E = = E Curl equations in phasor form: H E j = E J H j + = Homogenous Vector Helmholz: 2 2 = + E E k 2 2 = + H H k Wavenumber: Phase velocity: 1/ / p r r u c = = Wavelength:...
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formula sheet 2 - Forumla Sheet, ECSE352: Electromagnetic...

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