2.4 Elliptically polarized light can be represented by the two orthogonal waves given in Eqs (2.2) and (2.3). Show that elimination of the (@t- kz) dependence between them yields Е, Е, Ex Eoy E - 2- * cosô = sin²8 + Eox Eoy which is the equation of an ellipse making an angle a with the x axis, where a is given by Eq. (2.8).

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2.4 Elliptically polarized light can be represented
by the two orthogonal waves given in Eqs (2.2)
and (2.3). Show that elimination of the
(@t- kz) dependence between them yields
E, E,
- 2x.
Eox Foy
E,
E,
+
cosô = sin?8
Eoy
which is the equation of an ellipse making an
angle a with the x axis, where a is given by
Eq. (2.8).
Transcribed Image Text:2.4 Elliptically polarized light can be represented by the two orthogonal waves given in Eqs (2.2) and (2.3). Show that elimination of the (@t- kz) dependence between them yields E, E, - 2x. Eox Foy E, E, + cosô = sin?8 Eoy which is the equation of an ellipse making an angle a with the x axis, where a is given by Eq. (2.8).
Eq 2.2: Ex(2,t)=Re(È) = E, Eox cos (wt tkz)=È„Ex
Eq 2.3: Ey(z,t)=èyEoycos (wt-Kz+5)=èyEy
Eq 2.8: tan2x
= 2Eox Eoycos 8
%3D
2
-
Transcribed Image Text:Eq 2.2: Ex(2,t)=Re(È) = E, Eox cos (wt tkz)=È„Ex Eq 2.3: Ey(z,t)=èyEoycos (wt-Kz+5)=èyEy Eq 2.8: tan2x = 2Eox Eoycos 8 %3D 2 -
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