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Physics Lesson 12.6.6 - Malus Law

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Welcome to our Physics lesson on Malus Law, this is the sixth lesson of our suite of physics lessons covering the topic of Polarization of Light, you can find links to the other lessons within this tutorial and access additional physics learning resources below this lesson.

Malus Law

Non-polarized light can be considered as a continuous switch between p and s polarizations. If we take an ideal linear polarizer for simplicity, it is clear that such a polarizer will transmit only one type of polarization at a time. Therefore, the intensity of polarized light will be half of that of the original light. Thus, if we denote the initial intensity of unpolarised light by I0 and the intensity of polarized light by î(both measured in candela, [cd] which is one of the seven fundamental Sîunits), we obtain

î = I0/2

To describe the relationship between polarized light I, unpolarised light I0 and the angle θ between the incident linear polarization and the polarization axis, we use the so-called Malus Law:

î = I0 × cos2 θ

Example 1

Calculate the light intensity of the polarized light if the parallel lines of the reflective linear polarizer used for this purpose form an angle of 300 to the electric vector of the incident light. Take the intensity of incident light equal to 20 cd, cos 300 = √3/2 and sin 300 = 1/2 if needed.

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Solution 1

Applying the Malus Law

î = I0 × cos2 θ

we obtain after substituting the values:

î = 20 × cos2 300
= 20 × 3/22
= 20 × 3/4
= 15 cd

You have reached the end of Physics lesson 12.6.6 Malus Law. There are 6 lessons in this physics tutorial covering Polarization of Light, you can access all the lessons from this tutorial below.

More Polarization of Light Lessons and Learning Resources

Optics Learning Material
Tutorial IDPhysics Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
12.6Polarization of Light
Lesson IDPhysics Lesson TitleLessonVideo
Lesson
12.6.1How Do We See the Colours of Objects?
12.6.2What is Polarization of Light?
12.6.3Types of Polarization
12.6.4P and S Polarization
12.6.5Types of Polarizers
12.6.6Malus Law

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  6. Continuing learning optics - read our next physics tutorial: The Doppler Effect

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