Air Acoustics: Theoretical and practical research (1928 – 1936)

 

Theoretical and practical research (1928 – 1936)

 

After the negative results of the first study and the absence of literature on research on listening devices, Van Soest started to carry out systematic noise measurements in 1928. Fundamental research into stereo-acoustics took place from 1932 until 1936.

Van Soest distinguished three important topics: the human ability to hear direction, the ability of listening devices to perform directionally well, and the influence of the atmosphere on sound propagation. Van Soest started with the simplest possible means to research the human capacity to determine the direction of a sound source. Remember that electronic means were either not available or primitive.

Testing a person’s directional hearing ability with the listener’s hose, already used by the armed forces for existing factory equipment, gives an idea of the suitability of the listener to determine the direction of a sound source with a listening device. Van Soest determined the great importance of the time difference between the signals reaching the ears for hearing direction. With a listening hose of 20 metres and an inside diameter of 12 mm, it was possible to determine to what extent a person could properly hear direction. The listening hose, of which one example is present in the museum, is one of the components of which we did not understand the meaning before the archive study. It is a hose of about one meter long with two wooden caps at the ends and a marker line at the middle of the hose length.

The photo below shows the test setup. The person to be tested at the left puts the caps onto his ears, closes his eyes and listens. The examiner on the right taps with an object on the hose. The test person must say whether the sound comes from the left, from the right, or from straightforward.

Measuring directional hearing sensitivity of a volunteer
Measuring the directional hearing sensitivity of a volunteer

In the tests carried out by Van Soest and his first employee Piet Groot, Van Soest determined that Groot had such a good sense of direction that he could not determine the accuracy of his directional hearing. Just next to the marker line, Groot indicated the right direction.

In the museum collection, however, there is a piece of a brass bar on which there is a line every 2 millimetres. Van Soest cut the listening hose on the marker line and pushed the newly formed ends a bit over the brass rod. The sound speed in brass is about 10.5 times as high as in air in a hose. If one now taps on the brass, a scale increase of a factor of ten is obtained: one millimetre on the hose is ten millimetres on the brass rod.

Later, an experiment with a 60-centimetre long brass rod with a 2-millimetre scale “on a quiet Sunday after we had taken a complete rest” comes at a zero point determination of 2.5 and 2.4 millionths of a second for van Soest and Groot respectively.

Van Soest determined that Groot could hear a time difference of 1 microsecond in the arrival of the sound between his left and right ears, which corresponds to a directional sensitivity of about one degree horizontally. According to the Commission’s 1928 annual report, that would mean ‘an accuracy of between 1/8 and 1/80 degrees for a Goertz listening device. This accuracy cannot be achieved in practice due to weather influences that may cause deviations of up to +/- 10 degrees. For that reason, research will be undertaken in correction means to eliminate as much as possible the deviations of the sound rays caused by wind and temperature influences.

From a veteran, who served in the Armed Forces in the period 1939 – 1940, we learned that military personnel were tested for directional sensitivity with a hose over their shoulders. That allowed the military to keep their eyes open.

One of the two wooden strips with dental imprint
One of the two wooden strips with the dental imprint

In the museum, there are two wooden strips with a dot wax on the top containing a dental impression. The archives provided a solution; these were the imprints of Van Soest’s and Groot’s dentures. These strips were used in the barrel test. A large barrel had been buried in the dune. When crouched down in the barrel, one’s head was just above the edge. On the round barrel edge, there was a locking device to fixate the wooden strip at every thirty degrees. There was a sound source at some distance from the barrel. The test person put his teeth in his wax print on the wooden strip which was fixed on the edge of the barrel. He had to stick a finger in one of his ears and listen to the sound source with the other ear. The source was slowly moved away from the barrel along a straight line. If the sound could no longer be heard, the test person raised a finger and the distance was noted down. With the wooden strip subsequently clamped on the next fixed angle, the sensitivity profile around the head and of each ear could be measured. One of the results of this investigation was that the usual large distance between two sound-receiving elements of a listening device was unnecessary for the average good listener.

Van Soest crouched down in the barrel
Van Soest crouched down in the barrel
Directional ear sensitivity profiles of one ear of both van J.L. Soest and P.J. Groot
Directional ear sensitivity profiles of one ear of both van J.L. Soest and P.J. Groot

 

The first experimental own developed listening device on a Goerz chassis
The first experimental own-developed listening device on a Goerz chassis

In the Meetgebouw, Van Soest and Groot reshaped Van Soest’s office into an acoustically dead room by decorating walls, ceiling and floor with jute and installing a cage covered with polishing cotton. In this room, they performed measurements intending to determine the directional sensitivity of their respective ears. The observer sat head-on completely silent in the middle of an imaginary sphere with a radius of three meters. On a part of this spherical surface, there are 25 points as indicated in the figure. The middle point is on the eye line. The other points are at angles of 10º or 20º horizontally and vertically.

 

The 0, 10, 20 degrees grid to measure hearing sensitivity in a dead room
The 0, 10, 20 degrees grid to measure hearing sensitivity in a dead room

Subsequently, a sound generator was hung at each of these points. The sound generator periodically produced short sound impulses. While the sound generator was in action, the observer determined with closed eyes the direction from which he thought he heard the sound by pointing at it with his right forefinger. Then, after opening his eyes, he recorded the direction he had observed and the difference with the true location of the sound source. The deviations in degrees were accurately estimated and noted. The results of Van Soest and Groot are recorded in a figure. A Dutch article on this research dated February 1929 can be found here (pdf).

Measuring directional sensitivity in an acoustic dead room - performance graphs Van Soest and Groot
Measuring directional sensitivity in an acoustic dead room – performance graphs Van Soest and Groot

When observing elevation, van Soest did tests by covering the ears with a plate containing a small hole. The observation in the (horizontal) map angle was as accurate as without a cover plate. However, locating the elevation was no longer possible. The conclusion was drawn that the ears play an important role in vertical directional hearing.

Based upon these practical results, Van Soest set up a theory that based on the time difference that the sound arrives at the two ears – the map angle observation – and the perception of the intensity difference for both ears (the elevation sensation) indicates how the brain processes this information into a perception of direction. (see: richting hooren article in Dutch)

A second result of his research was the discovery of the harmful effect of sound transport through metal pipes and rubber hoses because this caused weakening and distortion of the sound image.

Van Soest combined both finds. He created a parabolic sound mirror with a circular diameter of approximately 120 centimetres made of plaster which was covered by a paper layer on both sides. This sound mirror is then cut in half. Each ear of a listener was placed in the focal point of one of the shell parts. Comparative tests on the Plain of Waalsdorp showed that this experimental device yielded far better results than the then state-of-the-art foreign military listening devices.

Van Soest concluded that the refractive law of Snellius can be used for the propagation of sound in air, where pressure, moisture and temperature gradients cause refraction of the propagation direction of the sound. Moreover, refraction occurs because wind speeds just above the ground rise from zero at ground level to the maximum occurring wind speed at a certain height. In connection with the listening devices, such atmospheric studies had never been performed. Van Soest assembled a team consisting of Prof. Elias, Prof. Dr. Zwikker, Dr. Zijlstra and himself to develop mathematical theories that describe the various refractive aspects of sound propagation.

Sound and vertical temperature gradient
Sound and vertical temperature gradient

In the above figure, there is a temperature that increases upwards. In the figure below the temperature gradient towards the sky decreases.

Sound and vertical temperature gradient
Sound and vertical temperature gradient

In the latter case, the sound source (“bron” in Dutch) cannot be detected in the hatched areas. During practical measurements, it has been found that large angular deviations in the direction of observation and the actual direction of a sound source can occur with occurring gradients. These angular deviations can be much greater than the deviations that occur as a result of the inaccuracy introduced by observing with listening devices.

In 1929, research was started in parallel on various types of microphones, mainly to understand whether they could represent an improvement to the human hearing organ concerning the intensity and threshold of hearing sounds. The museum has measurement charts and equipment that were used to make parts of microphones. In 1930, a custom condenser microphone was built; in 1932 an electromagnetic strap microphone. The microphone tests ultimately did not meet the intended goal, the human ear proved to be much more sensitive.

Electromagnetic strap microphone (20x12x24 cm)
Electromagnetic strap microphone (20x12x24 cm) (1932)

Plotting the plane direction and distance

Copying the planchet idea that was in use with German Richtungshöhrer, experiments were carried out with a flat plate planchet. With an interval of 20 seconds, the elevation angle and azimuth of a plane were recorded. After several observations, the flight speed, distance, and direction could be determined based on the estimated altitude of the aircraft. The museum has a ‘spider web’ drawing of 1 by 1 meter. The dimensions correspond to the 1: 25.000 scale of the military staff maps. The centre point was the position of the observer. At a flying altitude of 1,000 metres, “all notes written on the spider web drawing (to be engraved in copper) are immediately placed correctly on the underlying map. For other altitudes, the distances from the observer-aircraft (better: centre of the spider web to the point of the flight path) have to be multiplied by a factor to be derived from the table, causing the aircraft to be moved in parallel.
The pole distance of the web is 40 mm for a flying altitude of 1,000 m, and 10 cm for a flying altitude of 2,500 m. The graph shows 64 segments of 100 mrad each. The concentric rings for the elevation angles increase with a degree between 1 and 20 degrees; then per 5 degrees.
A calculation table and the aforementioned text (in Dutch) have been added to the ‘spider web’. When re-calculating with a computer, it appears that some of the manually calculated values were rounded off differently in the past. These figures are indicated by the red values.

Calculation of the flight path length at a central projection of an aircraft on a planchet. Pole distance= 40 mm for a 1.000 m flight altitude and observation time of 20 s.
Calculation of the flight path length at a central projection of an aircraft on a planchet. Pole distance= 40 mm for a 1.000 m flight altitude and observation time of 20 s.

Calculation: 
V= airspeed in km/h. In 20 seconds, the distance travelled is 20 * 1000/3600 * V metres. 

H is the de plane altitude in metres.
With a pole distance of 40 mm of the planchet, the flight path on the planchet is 20 * 1000/3600 * V * 40/H = 2000/9 * V/H mm.

This idea turned out to be difficult to apply in practice. The military listening device operations used an estimated airspeed of the planes and only two different altitudes in addition to the azimuth. The commander sergeant of the listening device had to state these values quickly. Dealing with more than two flight heights and conversion tables was impossible. Therefore, the use of six flight altitudes was not put into operation.

 

References

  1. Soest, J. L. van, and Groot, P. D. (1929). Article “STEREAOCOUSTISCHE GELUIDSBEELDEN EN KLEINST WAARNEEMBARE TIJDSVERSCHILLEN”, 05-02-1929. (pdf scan)
  2. Soest, J. L. van, and Groot, P. D. (1929). Article “RICHTINGSHOOREN BIJ SINUSVORMIGE GELUIDSTRILLINGEN”, Physica pp.271—282. (pdf scan)
  3. Soest, J. L. van, and Groot, P. D. (1931). Article “HET RICHTINGSHOOREN IN DE RUIMTE”, Physica 11, pp. 103-116, 1931. (pdf scan)
  4. Soest, J. L. van, and Groot, P. D. (1935). Article “DAS MINIMUM AUDIBILE UND DIE KONTRASTSCHWELLE”, Physica Volume 2, Issues 1–12, pp. 196-200. (pdf scan)
  5. Nationaal Archief, Den Haag, Ministerie van Defensie: Commissie voor Physische Strijdmiddelen, 1929-1932, 1938-1940, access no. 2.13.94, inventory no. 1 & 2