Originally posted by amoringello
If your ND filter cuts 1-stop of light, it cuts that from any available light; sun and/or flash. . . .
True! But shutter speed (below sync) affects exposure from ambient sources only. Exposure from flash remains unchanged. If you can independently control one variable, you can control them both.
Shooting in daylight, with lots of ambient light, dialling up the shutter speed darkens the sky. You can, however, only darken it so much at 1/180.
You can add an ND (or close the aperture) to darken the ambient lit parts of your shot sufficient for 1/180 or below, then blitz the flash-illuminated foreground subject to brighten it up/freeze the action.
The more you've dialled down the aperture or introduced ND filters, the more powerful your flash needs to be.
Aperture, also controls depth of field, which is one reason why many would prefer to control light with ND.
In terms of light control:
- Shutter: Ambient only
- Aperture: Ambient and Flash (with DoF trade-off)
- ND: Ambient and Flash (with no DoF trade-off)