1. 16 Superposition and Standing Waves Superposition of Waves Standing Waves Additional: Superposition of Standing Waves, Harmonic Analysis & Synthesis Hk: 1, 29, 33, 47, 51.

2. Superposition Principle

3. Terminology Phase Difference: The fractional part of a period which represents the offset in peak positions of waves. Coherence: The existence of a correlation between the phases of two or more waves such that interference effects can be observed. Interference: The variation with distance or time of the amplitude of a wave which results from the superposition of two or more waves.

4. Interference Constructive Interference: Resultant amplitude is larger than either individual wave. Destructive Interference: Resultant amplitude is less than either individual wave.

5. Destructive Interference: Constructive Interference: Examples

6. Phase Difference

7. Constructive Interference

10. Standing Waves Amplitude is zero at fixed ends Nodes (other places with zero amplitude) Anti-nodes (places with maximum amplitude) …a wave in which the amplitude at a given location does not vary with time. Standing Wave Features:

11. Standing Wave: Both Ends Fixed

12. Standing Wave: One End Fixed, One End Free

15. fourier analysis

17. Summary Superposition results in interference Interference can occur due to Path Difference Standing Waves, and conditions for Harmonics and Fourier Analysis /