| A Bipolar Transmission Line Project --
the TLB |
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| Section 3: System Radiation Response |
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Fig. 3.0 TLB Radiation Pattern
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The two Vifa P13 drivers are mounted in an push-push arrangement and driven in parallel,
in phase. This results in a 4 pi steradian polar pattern that is detailed in Fig.
3.1. In effect this results in a point source radiation pattern from 50 Hz up to
about 2-3 kHz.
The dipole pattern results in phase cancellation at 90°
and the conventional wisdom is that this is desirable since it reduces the side wall
bounce. However the Haas reverberant field data shows that the side wall reflections,
if they are in the 20 ms range, enhance the spacial definition.
A comparison with the monopole radiation pattern was done. While a dipole comparison
would have been desirable, it will have to await the completion of a seperate study. |
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| Polar Response Data |
Horizontal response
A frontal hemisphere is shown in Fig.3.1, but the back hemisphere is the same with
the difference that the back tweeter is not time aligned. The polar response from
60 Hz to about 2 kHz is circular and begins to narrow to a 30°
bipole pattern @ 10 kHz. The interesting observation is that the HF pattern is wider
in the monopole configuration.
The monopole data is green/bipole data is blue. |

Fig. 3.1 Horizontal TLB patterns
click image for larger picture
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Fig. 3.2 Vertical TLB pattern
click image for larger picture
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Vertical response
The vertical response of the TLB is more complex. The LF response up to
about 200 Hz shows the effect of the TL terminus gain and the floor coupling of about
+6dB. For the HF the pattern gradually narrows and is shifted to about a +30° axis upward and narrowing to approximately a 40°
lobe.
Since these measurements were very difficult to do, only the frontal pattern was
characterized. |
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Impedance Data
To gain an understanding of the characteristics of the TLB it is necessary
to understand the nominal TL's impedance characteristics. |
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Fig. 3.3 TL36 0.9144 meter
line unstuffed line
click image for larger picture
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Impedance for Dtr=1,unstuffed line,
note that mrk#1 is at driver Fs and that mrk#2 corresponds to TL line
Fr, fundamental resonance displaced by phase shift. Note the presence
of line harmonics which are attenuated
as the stuffing density is increased from the air's density 0.0745 lbs/cu ft. ie
Dtr=1. |
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Fig. 3.4 TL36 0.9144 meter
line under stuffed line
click image for larger picture
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Impedance for Dtr=6.7 Dacron HoloFill fiber. Packing density would fall
between the fiberglass and the wool reference curves as given by Bradbury. Note that
Fs peak is reduced but more importantly that the Fr peak has
shifted in frequency downward. This is the effect of the change in the air velocity
in the fiber. Note also the flattening of the phase curve. |
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Fig. 3.5 TL36 0.9144 meter
line optimally stuffed line
click image for larger picture
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Impedance for Dtr=9.4. Note that the Fs and Fr peaks
are almost equal. This can be used as an approximation of optimum stuffing density
for the specific line. The actual value would be dependent on the driver slope attenuation
at Fr. A higher value would permit overstuffing the line thus maximizing
the attenuation of the harmonics.
For a monopole TL the optimum Dt impedance peak is about 20 ohms. |
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The TLB push-push woofer loads a TL line length of 0.944 meters. Note
that the impedance is almost flat at 5 ohms and that the phase data is equally good.
In contrast to the monopole TL configuration the impedance is reduced from about
20 ohm peak to a minimal energy storage.
The consequences of this can be examined in the pulse response simulations of the
closed box vs that of the vented box. The closed box analogy is justified by the
TL's near field response which is equal to that of the critically damped closed box. |

Fig. 3.6 TLB
Impedance Data
click image for larger picture
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[ Contents | Introduction | Methodology | Radiation Response | Transient Response | Frequency Response | Construction ]
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