494 Chapter 16
16.2.1 Omnidirectional Microphones
The omnidirectional, or spherical, polar response of the
pressure microphones, Fig. 16-3 is created because the
diaphragm is only exposed to the acoustic wave on the
front side. Therefore, no cancellations are produced by
having sound waves hitting both the front and rear of
the diaphragm at the same time.
Omnidirectional microphones become increasingly
directional as the diameter of the microphone reaches
the wavelength of the frequency in question, as shown
in Fig. 16-4; therefore, the microphone should have the
smallest diameter possible if omnidirectional character-
istics are required at high frequencies. The characteristic
that allows waves to bend around objects is known as
diffraction and happens when the wavelength is long
compared to the size of the object. As the wavelength
approaches the size of the object, the wave cannot bend
sharply enough and, therefore, passes by the object. The
various responses start to diverge at the frequency at
which the diameter of the diaphragm of the microphone,
D, is approximately one-tenth the wavelength, O, of the
sound arriving as equation
(16-1)
The frequency, f, at which the variation begins is
(16-2)
where,
v is the velocity of sound in feet per second, or meters
per second,
D is the diameter of the diaphragm in feet or meters.
For example, a ½ inch (1.27 cm) microphone will
begin to vary from omnidirectional, though only
slightly, at
and will be down approximately 3 dB at 10,000 Hz.
Omnidirectional microphones are capable of having
a very flat, smooth frequency response over the entire
audio spectrum because only the front of the diaphragm
is exposed to the source, eliminating phase cancellations
found in unidirectional microphones.
For smoothness of response the smaller they are, the
better. The problem usually revolves around the
Figure 16-2. Air particle motion in a sound field, showing
relationship to velocity and acceleration.
Figure 16-3. Omnidirectional pickup pattern. Courtesy
Shure Incorporated.
a
b
c
d
Particle
displacement
Particle
velocity
Particle
acceleration
o
a = displacement 0
b = displacement max
c = displacement 0
d = displacement max
e = displacement 0
a = velocity max
b = velocity 0
c = velocity max
d = velocity 0
e = velocity max
a = acceleration 0
b = acceleration max
c = acceleration 0
d = acceleration max
e = acceleration 0
e
o
270 o
o
Figure 16-4. High-frequency directivity of an omnidirec-
tional microphone.
D O
10
----- -=
f v
10 D
=----------
Sealed microphone
10 kHz
1 kHz
1 kHz
10 kHz
f^1130
10 0.5
12
u------ -
©¹
§·
=-------------------------
=2712 Hz