US 11,889,263 B2
Space shaded constant beamwidth transducer
Paul Sonifrank, Harrisonburg, VA (US)
Filed by Paul Sonifrank, Harrisonburg, VA (US)
Filed on Aug. 17, 2021, as Appl. No. 17/404,981.
Claims priority of provisional application 63/067,618, filed on Aug. 19, 2020.
Prior Publication US 2022/0060817 A1, Feb. 24, 2022
Int. Cl. H04R 1/40 (2006.01); H04R 3/12 (2006.01); H04R 1/22 (2006.01)
CPC H04R 1/403 (2013.01) [H04R 1/227 (2013.01); H04R 3/12 (2013.01); H04R 2430/20 (2013.01)] 3 Claims
OG exemplary drawing
 
1. The Space Shaded Constant-Beamwidth Transducer (SSCBT) system comprising:
plurality of drivers arranged so that a radial velocity distribution of an array they form follows a Legendre shading function,
wherein a driver density is proportional to the Legendre shading function,
wherein in SSCBT system an attenuation is not required, and the attenuation is replaced with incremental spacing between the drivers, where spacing can be implemented to achieve more accurate representations of the Legendre function
wherein the number of drivers over a certain angular region is proportional to the velocity of that region which is equal to the Legendre function

OG Complex Work Unit Math
wherein

OG Complex Work Unit Math
is the driver density
where n is the number of drivers
over a range of angles angle Δθ
μ(θ) is the radial velocity distribution
ρv(cos(θ)) is the Legendre function of argument x and order v where v>0,
wherein the number of drivers in a given area x1 through x2 is considered to be the average driver density in that area and is equal to the average velocity in that region

OG Complex Work Unit Math
wherein n is the number of driver,
g is the equalizing constant, wherein g is dependent on the total size and total number of drivers of the system,
x1 through x2 are the regions over that area is considered the average driver density in that area,
μ(x) is the velocity.