Enter the refractive index of medium 2 and the refractive index of initial medium into the Calculator. The calculator will evaluate the Brewster’s Angle.
Brewster’s Angle Formula
BA = atan ( n2/n1)
Variables:
- BA is the Brewster’s Angle (degrees)
- n2 is the refractive index of medium 2
- n1 is the refractive index of the initial medium
To calculate Brewster’s Angle, take the inverse tangent of the refractive index of medium 2 over the refractive index of the initial medium.
How to Calculate Brewster’s Angle?
The following steps outline how to calculate the Brewster’s Angle.
- First, determine the refractive index of medium 2.
- Next, determine the refractive index of initial medium.
- Next, gather the formula from above = BA = atan ( n2/n1).
- Finally, calculate the Brewster’s Angle.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
refractive index of medium 2 = 30
refractive index of initial medium = 40
FAQs
What is Brewster’s Angle?
Brewster’s Angle is the angle of incidence at which light with a particular polarization is perfectly transmitted through a transparent dielectric surface, with no reflection. It is named after the Scottish physicist Sir David Brewster who discovered this phenomenon in the 19th century.
Why is Brewster’s Angle important in optics?
Brewster’s Angle is important because it represents the angle at which light can pass through a material with minimal reflection, which is crucial in reducing glare in optical systems, enhancing the efficiency of polarizing filters, and in the design of anti-reflective coatings.
How does the refractive index affect Brewster’s Angle?
The refractive index of the mediums involved directly influences Brewster’s Angle. As the ratio of the refractive indices changes, the Brewster’s Angle also changes. This relationship is crucial in determining the specific angle for optimal transmission and minimal reflection for different materials.
Can Brewster’s Angle be applied to all types of waves?
While Brewster’s Angle is most commonly associated with light waves, the principle can be applied to other types of electromagnetic waves as well. However, the specific conditions and outcomes may vary depending on the characteristics of the waves and the materials they interact with.
