One important consideration in such measurements is the optical saturation level of the photoreceiver under pulsed-laser excitation. Saturation will begin when the output signal reaches a certain level, and for all signal types (including pulses) this level is given roughly by the cw input saturation power (Pcw) multiplied by the gain, G. For pulses much shorter than the response time of the photoreceiver the output pulse will have a width equal to the FWHM of the photoreceiver’s impulse response. For pulses of period T, then, the average power at saturation will be Pcw scaled by the duty cycle of the output signal, FWHM/T. For example, a 1-mW, 10-MHz laser used with a 10-GHz photoreceiver (35-ps FWHM) with Pcw = 1 mW would need to be attenuated by a factor of 35x10-12/100x10–9 or 35 dB.
A second consideration of pulsed-laser measurements is offsets. Offsets might result from the oscilloscope or a DC-coupled photoreceiver and can lead to erroneous conclusions about low frequency or slow signal components. For this reason, it is important to subtract offsets from the impulse measurement, which can be accomplished by subtracting the average background signal level taken over some window prior to pulse arrival from the entire measured impulse.
To maintain the fidelity of your measurements, every component in your system needs to have a bandwidth greater than the 3-dB bandwidth of your signal, or, equivalently, an impulse response faster than the fastest part of your signal. (For time-domain measurements, a good rule of thumb is to have a frequency 3-dB bandwidth greater than 0.44/t, where t is the full width at half maximum (FWHM) of the temporal pulse). For example, even a very fast (50-GHz) oscilloscope combined with a 6-ps photodetector will not produce a 6-ps trace. This is because the pulse width you see depends on the convolution of many bandwidths, including those of the signal, the photodiode, and the oscilloscope.
To estimate the FWHM of a 5-ps pulse with a 6-ps photodetector and 50-GHz oscilloscope, you can sum the squares of the individual pulse responses. (This is very accurate for Gaussian pulses.) To do this, you will need to estimate the FWHM of the oscilloscope. Since FWHM≈0.44/f3-dB, where f3-dB is the frequency 3-dB bandwidth, we can estimate the FWHM for a 50-GHz oscilloscope as approximately 9 ps.1 The measured signal will then have a FWHM of 5 ps.