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a Chapter 1 Doppler Sonography: A Brief History 3<br />

earth causing apparent spectral shifts of the emitted<br />

white light. The spectrum would shift toward blue if<br />

the star approached the earth; conversely, the spectrum<br />

would shift to red if the star receded away from the<br />

earth. When describing these phenomena Doppler<br />

did not take into account preexisting research on light<br />

transmission and spectrum. Herschel [3] had already<br />

discovered infrared radiation, and Ritter [4] had described<br />

ultraviolet radiation; but it appears that Doppler<br />

was unaware of these important developments.<br />

Verification of Doppler's Theory<br />

Fig. 1.3. C. H. D. Buys Ballot (1817±1890). (From [40], with<br />

permission)<br />

As was to be expected, the paper generated critical<br />

responses. The most significant challenge came from<br />

a young Dutch scientist working at the University of<br />

Utrecht in Holland, Christoph Hendrik Diederik Buys<br />

Ballot (Fig. 1.3). In 1844 Buys Ballot proposed to refute<br />

the Doppler theory by designing an experiment<br />

involving sound transmission as his doctoral research<br />

project. Conveniently for him, a new railroad had just<br />

been established between Amsterdam and Utrecht,<br />

and the Dutch government gave him permission to<br />

use this railway system to verify the Doppler effect<br />

on sound transmission (Fig. 1.4). The first experiment<br />

was designed in February 1845. Two horn<br />

players who apparently had perfect pitch were chosen<br />

to participate in the experiment. The calibration was<br />

accomplished by one musician blowing a note and<br />

the other identifying the pitch of the tone. After this<br />

calibration was performed, one player was positioned<br />

on the train, and the other stood along the track. As<br />

the train passed, the stationary musician on the<br />

trackside perceived that the note blown by the musician<br />

on the train was half a note higher when the<br />

train approached him and half a note lower when it<br />

moved away. Unfortunately, a raging blizzard forced<br />

Buys Ballot to abandon his experiment and to reschedule<br />

it in a more temperate season. The results from<br />

the first experiment were published within less than a<br />

month in a music journal [5].<br />

Buys Ballot conducted the experiment again in<br />

early June of the same year [6]. Three teams were stationed<br />

along the track. Each team was composed of a<br />

horn player, an observer, and a manager. A fourth<br />

team was on a flat car behind the locomotive. Buys<br />

Ballot positioned himself on the foot plate next to the<br />

engineer. This experiment was more sophisticated,<br />

but it also encountered environmental complications<br />

as the summer heat seriously interfered with the correct<br />

tuning of the musical instruments. The musicians<br />

originally tried to use one-sixteenth of a single<br />

note but failed, and the final experiment was done in<br />

eights. The results were remarkable despite all the<br />

trials and tribulations. The study that set out to refute<br />

the Doppler theory ultimately confirmed it. Buys<br />

Ballot proved not only the existence of the Doppler<br />

effect in relation to sound transmission but its angle<br />

dependency as well. Incredibly, Buys Ballot still refused<br />

to accept the validity of the theory for the propagation<br />

of light and most of the scientific community<br />

of the nineteenth century did not acknowledge<br />

the validity of Doppler's theory because of his erroneous<br />

interpretation of astronomical phenomena.<br />

As translated by Eden [1], Doppler's response was<br />

impressive in its foresight: ªI still hold the trust ± indeed,<br />

stronger than ever before ± that in the course<br />

of time, this theory will serve astronomers as a welcome<br />

help to probe the happenings of the universe, at<br />

times when they feel deserted by all other methodsº<br />

[7]. This statement was prophetic. Since the beginning<br />

of the twentieth century, the Doppler principle<br />

has been used extensively not only in astronomy but<br />

also in the immensely diverse fields of science and<br />

technology.<br />

Doppler lived only 10 years after publishing his<br />

paper on the frequency shift; however, these few years<br />

brought him well-deserved recognition and honor. He

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