Path Difference of Two Progressive Wave Calculator

Formula

The formula to calculate the Path Difference of Two Progressive Waves is:

\[ \Delta x = \frac{\lambda \cdot \Phi}{2 \pi} \]

Where:

\(\Delta x\) is the Path Difference (m)
\(\lambda\) is the Wavelength (m)
\(\Phi\) is the Phase Difference (rad)

Definition

Path Difference is the difference in distance traveled by two waves, which determines the phase shift between them, affecting the resulting interference pattern.

Example Calculation

Let's assume the following values:

Wavelength (\(\lambda\)) = 0.268 m
Phase Difference (\(\Phi\)) = 0.67195176201769 rad

Using the formula:

\[ \Delta x = \frac{0.268 \cdot 0.67195176201769}{2 \pi} \]

Evaluating:

\[ \Delta x = 0.0286611111111057 \text{ m} \]

The Path Difference is 0.0286611111111057 m.

Conversion Chart

Wavelength (m)	Phase Difference (rad)	Path Difference (m)
0.25	0.67195176201769	0.026736111111
0.26	0.67195176201769	0.027805555556
0.27	0.67195176201769	0.028875000000
0.28	0.67195176201769	0.029944444444
0.29	0.67195176201769	0.031013888889