If I0 = 20.0 W/m2 , θ0 = 25.0 degrees , and θTA = 40.0 degrees , what is the transmitted intensity I1

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If I0 = 20.0 W/m2 , θ0 = 25.0 degrees , and θTA = 40.0 degrees , what is the transmitted intensity I1

 

Learning Goal:
To understand polarization of light and how to use Malus's law to
calculate the intensity of a beam of light after passing through one
or more polarizing filters.
The two transverse waves shown in the figure(Figure 1) both travel
in the +z direction. The waves differ in that the top wave oscillates
horizontally and the bottom wave oscillates vertically. The direction
of oscillation of a wave is called the polarization of the wave. The
upper wave is described as polarized in the +x direction whereas
the lower wave is polarized in the +y direction. In general, waves
can be polarized along any direction.
Recall that electromagnetic waves, such as visible light,
microwaves, and X rays, consist of oscillating electric and magnetic
fields. The polarization of an electromagnetic wave refers to the
oscillation direction of the electric field, not the magnetic field. In
this problem all figures depicting light waves illustrate only the
electric field.
A linear polarizing filter, often just called a polarizer, is a device that
only transmits light polarized along a specific transmission axis
direction. The amount of light that passes through a filter is
quantified in terms of its intensity. If the polarization angle of the
incident light matches the transmission axis of the polarizer, 100%
of the light will pass through, so the transmitted intensity will equal
the incident intensity. More generally, the intensity of light emerging
from a polarizer is described by Malus's law:
I = I, cos? 0,
Figure
< 1 of 2 >
Direction of wave
travel
Transcribed Image Text:Learning Goal: To understand polarization of light and how to use Malus's law to calculate the intensity of a beam of light after passing through one or more polarizing filters. The two transverse waves shown in the figure(Figure 1) both travel in the +z direction. The waves differ in that the top wave oscillates horizontally and the bottom wave oscillates vertically. The direction of oscillation of a wave is called the polarization of the wave. The upper wave is described as polarized in the +x direction whereas the lower wave is polarized in the +y direction. In general, waves can be polarized along any direction. Recall that electromagnetic waves, such as visible light, microwaves, and X rays, consist of oscillating electric and magnetic fields. The polarization of an electromagnetic wave refers to the oscillation direction of the electric field, not the magnetic field. In this problem all figures depicting light waves illustrate only the electric field. A linear polarizing filter, often just called a polarizer, is a device that only transmits light polarized along a specific transmission axis direction. The amount of light that passes through a filter is quantified in terms of its intensity. If the polarization angle of the incident light matches the transmission axis of the polarizer, 100% of the light will pass through, so the transmitted intensity will equal the incident intensity. More generally, the intensity of light emerging from a polarizer is described by Malus's law: I = I, cos? 0, Figure < 1 of 2 > Direction of wave travel
horizontally and the bottom wave oscillates vertically. The direction
of oscillation of a wave is called the polarization of the wave. The
upper wave is described as polarized in the +x direction whereas
the lower wave is polarized in the +y direction. In general, waves
can be polarized along any direction.
Recall that electromagnetic waves, such as visible light,
microwaves, and X rays, consist of oscillating electric and magnetic
fields. The polarization of an electromagnetic wave refers to the
oscillation direction of the electric field, not the magnetic field. In
this problem all figures depicting light waves illustrate only the
electric field.
A linear polarizing filter, often just called a polarizer, is a device that
only transmits light polarized along a specific transmission axis
direction. The amount of light that passes through a filter is
quantified in terms of its intensity. If the polarization angle of the
incident light matches the transmission axis of the polarizer, 100%
of the light will pass through, so the transmitted intensity will equal
the incident intensity. More generally, the intensity of light emerging
from a polarizer is described by Malus's law:
I= I, cos? 0,
where I, is the intensity of the polarized light beam just before
entering the polarizer, I is the intensity of the transmitted light
beam immediately after passing through the polarizer, and 0 is the
angular difference between the polarization angle of the incident
beam and the transmission axis of the polarizer. After passing
through the polarizer, the transmitted light is polarized in the
direction of the transmission axis of the polarizing filter.
Figure
<) 2 of 2
OTA
Polarizer
Transcribed Image Text:horizontally and the bottom wave oscillates vertically. The direction of oscillation of a wave is called the polarization of the wave. The upper wave is described as polarized in the +x direction whereas the lower wave is polarized in the +y direction. In general, waves can be polarized along any direction. Recall that electromagnetic waves, such as visible light, microwaves, and X rays, consist of oscillating electric and magnetic fields. The polarization of an electromagnetic wave refers to the oscillation direction of the electric field, not the magnetic field. In this problem all figures depicting light waves illustrate only the electric field. A linear polarizing filter, often just called a polarizer, is a device that only transmits light polarized along a specific transmission axis direction. The amount of light that passes through a filter is quantified in terms of its intensity. If the polarization angle of the incident light matches the transmission axis of the polarizer, 100% of the light will pass through, so the transmitted intensity will equal the incident intensity. More generally, the intensity of light emerging from a polarizer is described by Malus's law: I= I, cos? 0, where I, is the intensity of the polarized light beam just before entering the polarizer, I is the intensity of the transmitted light beam immediately after passing through the polarizer, and 0 is the angular difference between the polarization angle of the incident beam and the transmission axis of the polarizer. After passing through the polarizer, the transmitted light is polarized in the direction of the transmission axis of the polarizing filter. Figure <) 2 of 2 OTA Polarizer
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