Enlightening.............
You are now officially smarter then the people that actually design and build cabs for a living.
most likely not, however I am intelligent enough to read.
Simple matter of weight ratio...A five ounce bird cant carry a one pound coconut...
Measured Data for a Real Loudspeaker
The animation at right shows actual directivity data measured for a 4-inch boxed loudspeaker.[1] At low frequencies (250 Hz) the speaker radiates sound equally well in all directions. At higher frequencies (10 kHz) the speaker radiates all of its sound in front - the sound level behind the speaker is almost 25 dB lower than the level in front, indicating that much more sound energy is being radiated directly in front and very little behind.
This tendency for a loudspeaker to become directional at higher frequencies is one of the main reasons for using a cross-over network when designing a multi-speaker system. The goal is to have each speaker in the system radiate sound with approximately the same spatial distribution over its own frequency range, so that the entire frequency output of the speaker (20-20,000 Hz) is radiated evenly into the listening space. The cross-over filter sends low frequencies (really small
k) to the larger speaker (medium sized
a) so that it is fairly omnidirectional (
ka<5 is a typical upper limit). Likewise, mid-range frequencies (larger
k) are sent to the mid-size speaker (smaller
a) so that it has the same upper limit of directivity (
ka<5). Finally, the highest frequencies (large
k) are sent to the smallest speaker (really small
a) so that it also has approximately the same spatial directivity (tiny speaker size ensures that
ka is still < 5). The more omni-directional you want each speaker to be, the more different sized speakers you will need in order to cover the entire frequency range.[2] As an example, I have a set of Kenwood JL-840W 4-way speakers at home. The table below compares the speaker sizes and frequency ranges.
Speakerdiameter (cm)Frequencies (Hz)cutoff
ka
woofer3020-2,0005.5
mid-range122,000-5,0005.5
tweeter65,000-10,0005.5
super-tweeter310,000-20,0005.5
[1] D.A. Russell, J.P. Titlow, Y.J Bemmen., "Acoustic monopoles, dipoles, and quadrupoles: An experiment revisited,"
Am. J. Phys.,.
67(8), 660-664 (1999)
[2]There are lots of other arrangements of speakers which can produce nearly omni-directional sound over the entire frequency range. I'm using the example of a speaker system with several different sized speakers, each with its own crossover network, in order to demonstrate the effect of directivity on loudspeaker performance.