Consider a superposition of phasors Ë,(7) = â Es1e-jkz + ŷ Es2e¬jkz Es2 Es1 B,(F) = ŷ –jkz e¯jkz (1) where Es1 and Es2 may be complex. a) Find the expressions of the physical fields associated with these phasors. b) Show that the physical fields satisfy Maxwell's equations in vacuum with no source. c) Identify the vector î. Show that în E = î · B = È · B = 0. d) Suppose Es1 = C and Es2 = jC, with C € R. Determine the direction of E as a function of t, as a point on the xy plane. Describe the result in words and pictures.
Consider a superposition of phasors Ë,(7) = â Es1e-jkz + ŷ Es2e¬jkz Es2 Es1 B,(F) = ŷ –jkz e¯jkz (1) where Es1 and Es2 may be complex. a) Find the expressions of the physical fields associated with these phasors. b) Show that the physical fields satisfy Maxwell's equations in vacuum with no source. c) Identify the vector î. Show that în E = î · B = È · B = 0. d) Suppose Es1 = C and Es2 = jC, with C € R. Determine the direction of E as a function of t, as a point on the xy plane. Describe the result in words and pictures.
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Transcribed Image Text:Consider a superposition of phasors
E,(F) = â E,jejkz .
+ ŷ Es2e¬jkz
Es2 -jkz
B,(F) = ŷ
Es1-jkz
(1)
е
where Es1 and Es2 may be complex.
a) Find the expressions of the physical fields associated with these phasors.
b) Show that the physical fields satisfy Maxwell's equations in vacuum with no source.
c) Identify the vector în. Show that în · E = î B = È · B = 0.
C and Es2
jC, with C E R. Determine the direction of E as a function of t, as a point on the
d) Suppose Es1
xy plane. Describe the result in words and pictures.
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