Doppler effect

The Doppler effect, or Doppler shift, measures change in the frequency of waves based on the relative motion of the source and the position of an observer. It applies to any type of wave, including water, electromagnetic, visible light, and sound waves. The most familiar application of the Doppler effect involves sound, specifically sound coming from a source that is in motion (or reaching an observer who is in motion). A constant sound—that is, a single sustained note—can appear to change pitch when the source moves with respect to its listener. As the distance between the source of the sound and the receiver shortens, the frequency of the sound waves increases, causing the sound to become higher pitched; as the distance lengthens, the frequency decreases, causing the sound to become lower pitched.

It is important to note that what changes is the observer’s perception of the sound, not the sound itself. The emitted frequency of the sound remains the same, but the received frequency changes based on the increasing or decreasing speed and distance between the source and the listener.

Background

When a police car passes another car with its siren on, the other driver can hear the pitch of the siren increase as the police car approaches and then drop as it pulls away. The frequency of the emitted siren remains the same; it is only with respect to the driver of the other car that the sound seems to change. As the siren approaches from behind, the sound waves are compressed closer together by the forward movement, and therefore the frequency of the sound waves increases. Once the siren passes, the opposite effect occurs. The familiar pitched engine whine of competing sports cars flying past stationary spectators at a racing event also demonstrates this effect.

The Doppler effect was first described by Austrian physicist and mathematician Christian Doppler (1803–53) in his 1842 paper on the color shifts of binary star systems. Doppler determined that he could calculate the speed of the stars by observing the shift in the frequency of their light waves, although the lower quality of telescopes at the time made confirmation of his hypothesis difficult. Testing by Dutch scientist C. H. D. Buys Ballot (1817–1890) confirmed Doppler’s hypothesis with regard to sound waves in 1845; Buys Ballot placed a horn section playing a single, calibrated note on a train and observed the Doppler effect on the sound as the train repeatedly passed him. If the receiver of the sound is stationary and the source of the sound is moving, the only time that the listener actually hears the emitted sound at the appropriate pitch is the brief moment when the moving source actually passes by.

The effects of the Doppler shift become more complicated when both the source and the observer are in motion. This complexity has given rise to generations of increasingly dense mathematical suppositions that have tested Doppler’s original hypothesis. When both source and observer are in motion, the wave crests assume varied heights and thus affect the perceived wave frequency and pitch.

Overview

The Doppler effect has far-reaching applications. The predictable action of waves across a moving medium led to the development of sonar technology, in which sound waves are projected through water to measure the distance and speed of underwater objects. Doppler radar is an essential element of modern meteorological forecasting, using sound waves to determine the velocity and direction of storm systems.

The Doppler effect also enables astronomers and astrophysicists to calculate the expansion of the universe and the movements of distant star systems. In the spectrum of visible light, the lowest-frequency light waves appear red, while the highest-frequency light waves appear blue. (Light waves just below the frequency range of visible light are called infrared, while those just above the range are called ultraviolet.) When stars are moving away from Earth, the observed frequency of the electromagnetic waves they emit decreases, creating a phenomenon known as redshift, in which the color of the visible light shifts toward the red end of the spectrum. Conversely, if a star or some other light-emitting object is moving toward Earth, the waves shorten and increase in frequency, causing the light to appear blue; this is known as blueshift.

Surgeons using an echocardiogram use the principle of the Doppler effect to examine the cardiac system for valve abnormalities or to measure blood flow, greatly improving preventive cardiac care and reducing surgical risks. Echocardiograms rely on Doppler sonography and ultrasound devices, which produce high-frequency sound waves that bounce off of circulating blood cells, enabling doctors to measure the frequency shift between blood cells moving toward or away from the probe and the velocity of blood flow. Ultrasound technology is also used to listen to fetal heartbeats and observe gestational development, allowing doctors to detect genetic abnormalities and determine the sex of the fetus before birth.

Doppler technology has also been applied to satellite technology and communications systems. When ground stations broadcast radio waves to satellites hurtling through space, it is necessary to ensure that the transmitted signal maintains its integrity and usefulness, despite Earth’s rotation and the great speeds of the satellites themselves. In addition, the mathematical measure of distance and velocity between moving objects using radar waves is the basis of air-traffic-control technology and radar tracking of virtually any object launched into space.

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