12. Maxwell's equations: Maxwell's equations ƏB V×E ƏD V×H=J+ ốt V•D= p, V•B=0 The time-harmonic Maxwell's The time-harmonic Maxwell's equations in a source-free, lossy medium B = µH, D = &E, J = oE and p, = 0 equations in a source free, lossless medium or free space В 3D Н, D %3D sЕ, %3D 0 and p, 0 V × E, = -j@µH, V× H5 = jøEs V•E, = 0 %3D V• µHs = 0 Activate

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13. The time-harmonic vector Helmholtz equations or wave equations:
in a source free, lossless medium
or free space
in a source-free, lossy medium
v’E, – B³E, = 0
V³H¸ - ß*H¸ =0
y? = joµdo+ j@ɛ)
B²
14. The solution of Maxwell's equations:
The time-domain solution of
The time-harmonic Maxwell's
Maxwell's equations in a source- equations in a source free, lossless
medium or free space
free, lossy medium
E(z,1)= (E, cos(ox – Æ))Ê
H(z,t)= (H; cos(at – BE))ŷ
Atr 0
E-E, cos (-a,
H, cos (-D2) a,
(a)
Assumption: The EM wave is travelling in the +z direction.
Transcribed Image Text:13. The time-harmonic vector Helmholtz equations or wave equations: in a source free, lossless medium or free space in a source-free, lossy medium v’E, – B³E, = 0 V³H¸ - ß*H¸ =0 y? = joµdo+ j@ɛ) B² 14. The solution of Maxwell's equations: The time-domain solution of The time-harmonic Maxwell's Maxwell's equations in a source- equations in a source free, lossless medium or free space free, lossy medium E(z,1)= (E, cos(ox – Æ))Ê H(z,t)= (H; cos(at – BE))ŷ Atr 0 E-E, cos (-a, H, cos (-D2) a, (a) Assumption: The EM wave is travelling in the +z direction.
12. Maxwell's equations:
Maxwell's equations
V×E=
ốt
ƏD
V×H =J+
V •D= P,
V•B=0
The time-harmonic Maxwell's
The time-harmonic Maxwell's
equations in a source-free, lossy
medium
equations in a source free, lossless
medium or free space
B= µH, D = &E, o = 0 and p, = 0
B = µH, D = &E, J = oE and p, = 0
V ×E, = -j@µ5
V×H, = jø£s
%3D
V•sEs = 0
V• µHs = 0
Activate W
%3D
Transcribed Image Text:12. Maxwell's equations: Maxwell's equations V×E= ốt ƏD V×H =J+ V •D= P, V•B=0 The time-harmonic Maxwell's The time-harmonic Maxwell's equations in a source-free, lossy medium equations in a source free, lossless medium or free space B= µH, D = &E, o = 0 and p, = 0 B = µH, D = &E, J = oE and p, = 0 V ×E, = -j@µ5 V×H, = jø£s %3D V•sEs = 0 V• µHs = 0 Activate W %3D
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