Friday, May 5, 2023

What is an exponential and a hyperbolic Horn?

What is an exponential and a hyperbolic Horn?

An exponential horn is a type of acoustic horn that has an exponential flare rate. This means that the cross-sectional area of the horn increases exponentially from the throat to the mouth. A horn with a flare constant of 1.0 is a true exponential horn, while a flare constant less than 1.0 is a hyperbolic horn. The details as below.

The formula is as follows,

m and fc (cutoff frequency Hz), c (speed of sound 34400mm/s)


Correlation In the case of the hyperbolic horn, the formula is



So, the specific calculation is more complicated, so I won’t go into details. Interested friends can do their own research, and here are so many, the main purpose is to show that the horn is not simply stacked with several boards, make a radian, and then seal a board on the left and right. It will work.

Therefore, the size of the horn is also fixed, and it does not support changing it to be larger or smaller.

The exponential horn has an acoustic loading property that allows the speaker driver to remain evenly balanced in output level over its frequency range.

An exponential horn works by increasing the overall efficiency of the driving element. The shape of the horn allows for a controlled cross-section increase, resulting in an impedance match between the sound source and the surrounding air. This means that an acoustic horn can radiate sound efficiently in a large frequency range. Efficient radiation is obtained when the pressure is in phase with the particle velocity, which requires a large surface at lower frequencies . The exponential flare rate of the horn helps to maintain an even output level over its frequency range.

The benefits of using an exponential horn include increased efficiency and improved output level balance over its frequency range. The exponential flare rate of the horn helps to maintain an even output level over its frequency range, allowing the speaker driver to remain evenly balanced in output level. This can result in greater acoustic output power from a given driver. Additionally, the shape of the horn allows for an impedance match between the sound source and the surrounding air, which can result in more efficient radiation of sound in a large frequency range.

An exponential horn is different from other types of horns in the way its cross-sectional area increases from the throat to the mouth. The flare rate of an exponential horn is exponential, meaning that the cross-sectional area of the horn increases exponentially from the throat to the mouth. This is in contrast to other types of horns, such as hyperbolic-exponential horns, which have a flare constant less than 1.0 and flare more suddenly at their mouth . The exponential flare rate of an exponential horn helps to maintain an even output level over its frequency range, allowing the speaker driver to remain evenly balanced in output level.


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IWSITAO Customized 1 Pair TAD TH4001 Hyperbolic Stable Diffusion Empty Wooden Horn 2 Inches Throat Birch Plywood Wide 612MM with Adapter


IWSITAO Customized 1 Pair Hyperbolic Stable Diffusion Empty Wooden Horn 1 Inch Throat Birch Plywood Wide 400MM with Adapter

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