Two Wave Interference Equation
Reference from the original Physics I textbook.
- Two Wave Interference Equation
y(x,t) = instantaneous displacement (m); A = amplitude (m); k = angular wavenumber (rad/m); x = position (m); ω = angular frequency (rad/s); t = time (s); ϕ = phase constant (rad).
- Related Glossary Terms
Constructive Interferenceⓘ, Destructive Interferenceⓘ, Wave Interference, Wave Interference Equation, Waves with Equal Amplitude and Angular Frequency
- Index
Reviewed physics notes (1)
These corrections keep the original lesson’s purpose while fixing errors in the source edition.
- Wave displacement at (x,t) is not the amplitude; position x is not particle displacement. — Reference 1
Glossary and deeper reading · 3 refreshers
These editorial refreshers supplement the reading. Definitions and examples are added guidance; original source wording and recorded answers remain in their original context.
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Wave interference
Wave interference is the combination of overlapping wave disturbances. In a linear medium, the signed disturbances add at each location and time without permanently destroying the passing waves. For example, two overlapping upward rope pulses temporarily make a larger upward disturbance.
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Constructive interference
Constructive interference occurs when overlapping wave contributions reinforce one another. For equal-frequency sinusoidal waves, in-phase contributions produce increased amplitude at the location considered. For example, coherent light arriving with an integer-wavelength path difference can form a bright interference fringe.
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Destructive interference
Destructive interference occurs when overlapping wave contributions oppose one another. Complete cancellation requires equal-magnitude opposite disturbances at the relevant place and time. For example, equal sinusoidal waves half a cycle out of phase can produce zero net displacement during their overlap.