120 likes | 293 Views
This article explores the phenomenon of wave interference, detailing how two waves can coexist in space. It elaborates on constructive interference, where similar wave parts overlap for amplified results, and destructive interference, where opposing wave parts cancel each other out. The concepts of phase difference, including in-phase and out-of-phase waves, are discussed, highlighting their implications in various applications such as noise-cancelling headphones. The interaction of multiple wave sources and the effects of reflection at boundaries are also examined.
E N D
Superposition • Two particles cannot occupy the same space at the same time, two waves can • When two waves interact, one is super imposed on the other • The resultant wave is a combination of both waves
Constructive Interference • Constructive interference occurs when similar parts of both waves occupy the same point in space • Transverse Waves • Crest meets crest • Trough meets trough • Longitudinal Waves • Compression meets compression • Expansion meets expansion • Resultant wave with greater amplitude
Destructive Interference • Destructive interference occurs when different parts of both waves occupy the same point in space • Transverse Waves • Crest meets trough • Longitudinal Waves • Compression meets expansion • Resultant wave with much smaller (or zero) amplitude
Phase Difference • Phase difference refers to the alignment of two waves • A phase difference of 0° or 360° (0, 2π) means the waves are in-phase • Constructive interference • A phase difference of 180° (π) means the waves are out of phase • Destructive interference
Noise Cancelling Headphones • Uses destructive interference to eliminate background noise • A microphone detects incoming sounds • Speaker produces opposite signal, destructively interferes with ambient noise
Multi-point interference • Waves created by two or more different sources interfere with each other
Reflectance • When a wave encounter a boundary some of the wave is reflected back • The reflectance depends on the material of the boundary • The reflected waves interfere with the incoming waves