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High Efficiency Speaker Asylum: Re: Slant Plate Acoustic Lenses by wgeiger

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Re: Slant Plate Acoustic Lenses

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Fred,

Slant plate acoustic lens
typical: 80 deg Horz. 50 deg Vert. coverage

[n] = 1/cos([ap])= 1.5 - refraction index (usual)
[ap] = 48.3 deg - plate slant angle from horizontal
[s] < [c]/(2*[fh] - plate spacing limit
[fh] - high frequency limit
[c] - velocity of sound in air

front surface: hyperbolic cylinder (symmetrical about x-axis)

formula: ([n]^2-1)*[x]^2 + 2*[f]*(n-1)*[x] - [h]^2 = 0

where:

[f] - distance between focal point (of circular arc wave front exiting lens) and hyperbolic apex of lens @ [x,h] = 0,0

Note: extensions to right and left are not functionally part of lens, the serve as "buffer regions" that smooth out the otherwise ragged frequency response.

Regards,

Bill



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Topic - Acoustic lenses, slant plate, slot and Briggs modified slot - freddyi 17:28:16 02/8/01 ( 2)