Answer:
θ[tex]^{TA}[/tex] - θ[tex]^{0}[/tex]
Step-by-step explanation:
According to the theory of Malus, when a completely plane polarized light is incident on an analyzer, the intensity 'I' of the light wave transmitted by the analyzer is proportional to the square of the cosine of angle between the transmission axes of the polarizer and analyzer. Therefore:
Using the theory of Malus, we need to estimate the angle between the transmission axis θ[tex]^{TA}[/tex] and the polarization axis θ[tex]^{0}[/tex].
Thus:
angle θ = θ[tex]^{TA}[/tex] - θ[tex]^{0}[/tex]
We want to see which angle we must use in Malus's law given that we know the angle of polarization of the incident light and the angle of the polarizer.
We will find:
[tex]\theta = \theta_0 - \theta_{TA}[/tex]
We know that when light with some given intensity and some give polarization strikes a polarizer, the intensity of the transmitted light depends on the cosine square of the angle between the light polarization and the polarizer transmission axis.
Here we have:
Polarization of light = [tex]\theta_0[/tex]
Angle that defines the transmission axis of the polarizer: [tex]\theta_{TA}[/tex]
Then the difference between these angles is what gives us the value of theta that we must use in Malus's law, we will get:
[tex]I_1 = I_0*cos^2(\theta_0 - \theta_{TA})[/tex]
Thus, we have:
[tex]\theta = \theta_0 - \theta_{TA}[/tex]
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