Wave Superposition

Superposition of Two Waves

When two waves of equal frequency but different phases and amplitudes meet, their amplitudes add vectorially. The resultant amplitude is:

$A = sqrt{A_1^2 + A_2^2 + 2A_1 A_2 cosphi}$

• $A_1, A_2$ — individual amplitudes
• $phi$ — phase difference (radians)
• A — resultant amplitude

Two Extremes

Examples

Your Task

Implement superpose(A1, A2, phi) returning the resultant amplitude.

Run the code to hear constructive then destructive interference.