Aah. Now the guys are at it again. A "not-very-theoretical", "almost-beginner-level" question moved over to arguments about a few different figure-8 mics.
Now, please, start your own thread instead, don´t steal this one as well.
Back to fundamentals.
We have covered the figure 8 mic. The classical example is a ribbon mic. It contains a ribbon, fixed at both ends, and hanging in a rather hefty magnetic field. Move the ribbon backward and it gives a positive signal, move in forwards and it gives a negative signal.
The important point is to understand is that the ribbon mic measures the "movement" of air around the ribbon. Give it a low enough frequency and the air will simply move around the mic, not giving any signal at all.
The omni mic instead consists of a closed volume of air and a diaphragm in front of it. This mic measures "air pressure". It can measure even very low frequencys, say the change in air pressure between a high pressure and a low pressure in the weather. Of course, this is impractical, so there is a small vent allowing air pressure to equalize.
The interesting thing is that the pressure is not sensitive to which direction sound comes from. But movement is very sensitive to the actual direction.
There are different ways to make a cardiod mics. The simplest in theory is to combine one figure 8 mic and one omni mic. There are actual examples of this mic design from the early days. The theory goes as follows: place both mics ( omni and figure 8 ) very close to each other and add the two signals to each others. If a sound comes from the front of this setup, the omni mic will give a signal, say plus 1 V. The figure 8 will as well give a positive signal, say 1V as well. If we add these two signals, a sound from the front will give +2V.
On the other hand, a signal from the back will work differently. The omni mic will still give a positive signal, say 1V. But the figure 8 mic will give a negative signal, say -1V. Remember that the omni mic is not sensitive to direction to the sound source, but the figure 8 is. Add these two signals and we get zero volts for a signal coming from the back.
Follow the situation "around the clock" and we get the normal cardioid pattern. It takes a bit of math but it can be, I will not do it here though.
// Gunnar