Interference of light is an interactive phenomenon that produces a stripe pattern when multiple light waves meet. The interference formula is: d sin(θ) = m λ, where d is the light source distance, θ is the angle between the fringes, m is the fringe number, and λ is the wavelength. This formula is used to analyze the width and position of interference fringes and is widely used in the fields of measurement, materials research and optics.
Interference formula of light
What is the interference of light?
Light interference is a phenomenon of light wave interaction. When two or more light waves from different light sources meet, they will be superimposed according to their phase difference, resulting in a light and dark stripe pattern.
The interference formula of light
The interference formula of light describes the width and position of the interference fringe. Its expression is:
<code>d * sin(θ) = m * λ</code>
where:
Formula derivation
The interference formula of light can be derived from the Huygens-Fresnel principle. According to this principle, the wavefront of each interfering light wave can be regarded as a secondary wave source, and the waves emitted from these secondary wave sources are superimposed on each other to produce interference phenomena.
When the phase difference between two coherent light waves is 2πm (m is an integer), they superpose at adjacent wave peaks to produce constructive interference, forming bright stripes. When the phase difference is (2πm π), superposition produces destructive interference, forming dark stripes.
Application
The interference formula of light is widely used in the fields of optical measurement, material property research and image processing, for example:
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