Why it works.
There has been no opposition, contrary to what I expected, to my pushing of the idea of optimizing fishfinder arrays by unequal spacing. It works, as I know and have tried to demonstrate. The reasons for this are interesting. One has to perform rather advanced simulations to get the full picture of what happens in these cases.
For that reason I made various simulations in 3D where all influential parameters were studied. One has to consider piezo dimensions, spacings, frequencies, angles in all directions for transmitted and received sound and, this proved to be important, time during a sound wave cycle. Simple simulation only in a plane along the array and perpendicular to to the optical window does not show all phenomena.
The picture shows the beam pattern for an equally spaced and an optimized array with four circular piezos. Diameter is 20 mm and frequency 200 KHz. Array length about 300 mm. A circle represents angles from 0 to 45 degrees from the middle of the sound beam. Thus, a circle covers 90 degrees. Middle of sound beam is in the center and at the edge the angle is 45 degrees. The height represents one-way transmitted energy. The orientation of the array is indicated by a line.
As can be seen side lobes are much lower in the optimized array. The side lobes are not smooth "bulbs". They are divided into many "fingers" so the influence of side lobes depends on in what direction sound is transmitted/received. The finger pattern is caused by a complicated interaction between the circular form of piezos, the array spacings, angle and frequency. I have seen the result of this when using 83 KHz over a flat bottom. Then the fingers can paint faint bands of echo. The main beam itself does not seem to be much affected by this finger phenomenon. Note that vertical width (not only the height) of side lobes decreases the farther away from the main beam they are. This is very good and depends on the shaping effect from the circular forms of piezos.
These figures are not the typical dB charts but merely shows relative energy level. dB is so depressing, especially in this case. Then it's better to think about the one-way/two-way distinction. These figures show the one-way situation. That is, when sound is either transmitted or received. For piezos things multiply as they are transmitting and then receiving the same sound. The beam forms are the same in both cases so when the already formed transmitted sound comes back it is formed once more. This results in further thinning of main beam and further suppression of side lobes. Nice things these piezos! Manufacturers of transducers, particularly fishfinder manufacturers, do not define their specifications very well. It's important for an array builder to know if they mean sound pressure or energy and if it's the one-way or two-way performance. I still don't know this for the transducers in my array but it worked well anyway.
Rickard
There has been no opposition, contrary to what I expected, to my pushing of the idea of optimizing fishfinder arrays by unequal spacing. It works, as I know and have tried to demonstrate. The reasons for this are interesting. One has to perform rather advanced simulations to get the full picture of what happens in these cases.
For that reason I made various simulations in 3D where all influential parameters were studied. One has to consider piezo dimensions, spacings, frequencies, angles in all directions for transmitted and received sound and, this proved to be important, time during a sound wave cycle. Simple simulation only in a plane along the array and perpendicular to to the optical window does not show all phenomena.
The picture shows the beam pattern for an equally spaced and an optimized array with four circular piezos. Diameter is 20 mm and frequency 200 KHz. Array length about 300 mm. A circle represents angles from 0 to 45 degrees from the middle of the sound beam. Thus, a circle covers 90 degrees. Middle of sound beam is in the center and at the edge the angle is 45 degrees. The height represents one-way transmitted energy. The orientation of the array is indicated by a line.
As can be seen side lobes are much lower in the optimized array. The side lobes are not smooth "bulbs". They are divided into many "fingers" so the influence of side lobes depends on in what direction sound is transmitted/received. The finger pattern is caused by a complicated interaction between the circular form of piezos, the array spacings, angle and frequency. I have seen the result of this when using 83 KHz over a flat bottom. Then the fingers can paint faint bands of echo. The main beam itself does not seem to be much affected by this finger phenomenon. Note that vertical width (not only the height) of side lobes decreases the farther away from the main beam they are. This is very good and depends on the shaping effect from the circular forms of piezos.
These figures are not the typical dB charts but merely shows relative energy level. dB is so depressing, especially in this case. Then it's better to think about the one-way/two-way distinction. These figures show the one-way situation. That is, when sound is either transmitted or received. For piezos things multiply as they are transmitting and then receiving the same sound. The beam forms are the same in both cases so when the already formed transmitted sound comes back it is formed once more. This results in further thinning of main beam and further suppression of side lobes. Nice things these piezos! Manufacturers of transducers, particularly fishfinder manufacturers, do not define their specifications very well. It's important for an array builder to know if they mean sound pressure or energy and if it's the one-way or two-way performance. I still don't know this for the transducers in my array but it worked well anyway.
Rickard
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