Bandwidth can also be defined as the frequency difference between two arbitrary attenuation values.

For example: The 3 dB bandwidth of my audio amplifier is 20 kHz. Translation: The difference between the highest and lowest frequency of interest that is 3 dB (half power) is 20 kHz. 3 dB is how far down from maximum (or whatever you choose) that you allow for the signal to be acceptable to you. If the low frequency is 30 Hz then the upper 3 dB frequency is 20,030 Hz.

You can specify whatever attenuation factor you want for your system but generally an unmarked bandwidth will assume 3 dB.

This definition also holds true for EM waves.