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TEK 284 isn't designed to generate single pulses. You would need to modify the instrument considerably to generate single pulses. I guess you won't do this, respecting the antique instrument.
If you just ask for nanosecond pulses, you won't necessariíly need a picosecond risetime tunneld diode pulser. There's a lot of pulse generators that can generate single ns pulses. You should tell your specification.
General purpose laboratory pulse generators will source 5 to 10 V with 50 ohm impedance, resulting in up to 200 mA output current. They mostly have a single pulse option. I'm e.g. using an old HP 8082A for similar purposes. It would be suited to drive a pulse laser diode, if the current is sufficient. Pulse laser diodes have often threshold currents above 1 A, so a special driver circuit is needed.