EE101B Review - EE101B Review Session Winter 2016 This...

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EE101B Review Session Winter 2016 This class is about dynamic electromagnetic waves Universal rules : 1. Maxwell’s equations (Chapter 7 and 8); 2. Boundary conditions (mostly used in Chapter 8). Keep in mind: Units. For example, the unit of is [Np/m], the unit of power density is [W/m 2 ], H field is in [A/m], E field is in [V/m]. 1. Maxwell’s equations: 0 c i v B E t D H J J t D B       In this class, we work with medium that is homogeneous, linear, isotropic source free (except antenna), 0 0 H E t E H E t E H       All fields are represented in time domain Time harmonic fields j t 0 0 c E j H H j E E j E E H          All fields are represented in phasor domain. 0 ' '' c j j Wave equations (obtained by taking  of Faraday’s law and Ampere’s law) 2 2 2 2 0 0 c c E E H H     2 2 c k   k : wave number from phasor expression to instantaneous field expression Take the real part of 0 j t z e 0 0 cos j t z e t z In phasor expressions, all frequency information is hidden, but you can calculate it using Power calculation: Poynting vector: * S E H . unit 2 / W m Time average power density: * 1 Re 2 av S E H . unit 2 / W m Power: * 1 Re 2 P E H n dA . unit W All the above equations and definitions are universal, i.e. no matter if the wave is plane wave or guided wave. From this point, let’s divide the EM waves into two cases:
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Unbounded waves Plane waves (Chapter 7, 8): wave impedance = intrinsic TEM waves.
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