# Superposition of Standing Waves

Superposition of Standing Waves

This Demonstration shows a linear superposition of 10 standing waves, of the form . The box is of unit length and each standing wave has its endpoints fixed at and . The coefficients ,,…, can be selected.

ψ(x,t)=cos(nπt)sin

10

∑

n=1

c

n

ω

0

nπx

L

x=0

x=L

c

1

c

2

c

10