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Interference of Waves of Two Intensities Calculator

Formula

The formula to calculate the Resultant Intensity is:

$I = I_1 + I_2 + 2 \sqrt{I_1 I_2} \cos(\Phi)$

Where:

$I$ is the Resultant Intensity (cd)
$I_1$ is Intensity 1 (cd)
$I_2$ is Intensity 2 (cd)
$\Phi$ is the Phase Difference (rad)

Definition

Resultant Intensity is the intensity of the resulting wave pattern formed by the superposition of two or more waves, providing information about the combined effect of the individual waves.

Example Calculation

Let's assume the following values:

Intensity 1 ( $I_1$ ) = 9 cd
Intensity 2 ( $I_2$ ) = 18 cd
Phase Difference ( $\Phi$ ) = 0.67195176201769 rad

Using the formula:

$I = 9 + 18 + 2 \sqrt{9 \cdot 18} \cos(0.67195176201769)$

Evaluating:

$I = 46.9219512500029 \text{ cd}$

The Resultant Intensity is 46.9219512500029 cd.

Conversion Chart

Intensity 1 (cd)	Intensity 2 (cd)	Phase Difference (rad)	Resultant Intensity (cd)
8	18	0.67195176201769	44.782595764460
9	18	0.67195176201769	46.921951250003
10	18	0.67195176201769	48.999580461616