I have to ask? With an LED drawing very, very little current why would you also want a photo diode? The reason to turn on and off incandescent bulbs with a photo eye is to save relatively large amounts of amp hours.
For example my old anchor light was a 20 watt incandescent bulb and it drew 1.7 amps per hour, or 17 amp hours for a ten hour run. My current LED anchor light draws 1 amp hour for every ten hours of use or 1700% less consumption! An extra couple of hours does make a difference when using an incandescent but not so much with LED.
I now have a Dr. LED Polarstar 40 bulb in an AquaSignal Series 40 all/round anchor light fixture. This is technically a USCG approved combination. It draws roughly .1 amps per hour. That is still only 2.4 amp hours in a 24 hour period.
I still don't see a need for a photo electric eye to turn it on and off unless you have other reasons than I would for using an LED anchor light.
This is the combo:
Close up of Polarstar 40 bulb:
Anchor Light #1:
Photo of different bulbs:
P.S. The bulb is $41.99 (Defender) and the fixture can be found for between $50.00 & $65.00 depending upon the vendor. I paid under $100.00 for this set up and it's BRIGHT!!!!!..