granthutchison wrote:(In fact, Phil Plait says
here that optically thin nebulae will become
less visible as you approach, something I've never quite got my head around.)

Aha.
Revisiting this topic prompted me to think about it some more, and I've finally got it, by coming at it from a ray-tracing perspective.
If you look at an optically thick nebula, then every line of sight from your eye to the nebula will eventually be intercepted by a hydrogen atom (or some other item of gas or dust; it doesn't change the reasoning). Whether you see a photon coming down that line of sight at any given moment will depend on the precise nature of the nebula, but there is always the
potential for something to come your way. The cumulative effect of photons zinging intermittently down all these sight-lines creates the sensation of brightness at your eye. If you move closer to the nebula, more sight-lines open up, but all
these sight-lines are similarly intercepted by hydrogen, in pretty much the same state of excitation as you were seeing previously ... so the surface brightness of the nebula doesn't change as you move closer, it just grows larger in your field of view.
However, if you're looking at an optically thin nebula, many of your sight-lines pass right through and out the other side, to the blackness of space beyond. Moving towards
this nebula opens up more sight-lines, too, but almost all of them end in black space, instead of encountering new hydrogen atoms deeper in the nebula. The nebula grows larger in your field of view, but the total amount of light that reaches your eye stays
almost exactly the same. So the closer you get, the lower the surface brightness gets, until the nebula becomes invisible.
Grant