An interferometer is an instrument that measures physical quantities by analyzing interference patterns of waves.The interferometer is like a clever detective that investigates the difference in the paths of two beams. Imagine you and your friend running towards each other from opposite ends of a maze; when you meet, you can tell who ran slower by how out of breath you are. The interferometer 'sees' even a difference of a thousandth of the thickness of a hair — by how the light and dark fringes shift, like sand in an hourglass.
Interference phenomena were observed by Newton ('Newton's rings'), but systematic study began with Thomas Young in 1801 (double-slit experiment). The first interferometer was built by Albert Michelson in 1881 to test the hypothesis of the luminiferous ether. The famous Michelson-Morley experiment (1887) showed with the highest accuracy the absence of ether wind, which became a decisive argument for the constancy of the speed of light. In the mid-20th century, Joseph Weber built resonant gravitational antennas, but did not achieve decisive success. Modern laser interferometers (LIGO, Virgo) were proposed in the 1970s-80s and in 2015 for the first time directly detected gravitational waves (from the merger of black holes). Robert Hooke in 1665 described the colors of thin films, which was a manifestation of interference. Alain Aspect used interferometers in pioneering experiments on photon entanglement.
In the Michelson interferometer, light from a laser hits a beam splitter, where half the intensity is reflected into a perpendicular arm, and half passes straight through. At the end of each arm, a mirror reflects the beam back. After returning, both beams partially pass through the beam splitter and reach a photodetector. The phase difference Δφ = 2πΔL/λ determines whether interference is constructive (light) or destructive (dark). The intensity of the detected light is described by the formula I = I₁+I₂+2√(I₁I₂)cos(Δφ). Any slightest change in ΔL (due to gravitational waves, thermal expansion, or vibrations) leads to a change in the signal. To enhance sensitivity, Fabry-Perot cavities are installed in the arms, greatly increasing the effective light path. Maxwell's equations guarantee the constancy of the speed of light, allowing interferometry to be used as a 'ruler' of exceptional precision.
The giant LIGO interferometers can detect a change in the length of their four-kilometer arms of less than one ten-thousandth the size of a proton — about the same as if the distance from Earth to the Sun changed by the thickness of a human hair!


















