Malus Law Calculator

Formula

The formula to calculate Transmitted Intensity is:

\[ I_T = I_1 \left( \cos(\theta) \right)^2 \]

Where:

\(I_T\) is the Transmitted Intensity (cd)
\(I_1\) is the Intensity 1 (cd)
\(\theta\) is the Angle from Slit Center to Light Source (rad)

Definition

Transmitted Intensity is the amount of intensity of a wave that is allowed to pass through a medium or a surface, often affected by the properties of the medium or surface.

Example Calculation

Let's assume the following values:

Intensity 1 (\(I_1\)) = 9 cd
Angle from Slit Center to Light Source (\(\theta\)) = 0.274016692563058 rad

Using the formula:

\[ I_T = 9 \left( \cos(0.274016692563058) \right)^2 \]

Evaluating:

\[ I_T = 8.34097858773922 \text{ cd} \]

The Transmitted Intensity is 8.34097858773922 cd.

Conversion Chart

Intensity 1 (I1)	Angle from Slit Center to Light Source (θ)	Transmitted Intensity (IT, cd)
8	0.274016692563058	7.414203189102
8.5	0.274016692563058	7.877590888420
9	0.274016692563058	8.340978587739
9.5	0.274016692563058	8.804366287058
10	0.274016692563058	9.267753986377