The bussard collectors came from Robert Bussard’s Bussard ramjet space propulsion system (this is real world). In star trek, these devises collect hydrogen, especially deuterium, for fuel replenishment where it is collected and stored in holding tanks. To work, they would need to be in a good forward line of sight to collect interstellar particles.
All correct so far. It's a sign of a poor design when there is limited, or partially obstructed, line-of-sight for the nacelle intakes.
Deuterium, or tritium for that matter, are rare isotopes of hydrogen (hydrogen with either one or two neutrons). The extra mass of the neutrons provides absolutely no benefit from an energy-generation standpoint. It could provide a benefit from a "propellant" standpoint, except that these isotopes of hydrogen are much rarer than "normal" hydrogen. It is silly to use deuterium in a matter/antimatter annihilation reaction. It is plausible, however, to use this in the impulse engine system, because the extra neutrons would be beneficial to fusion reactions.
Basically, you're looking at "technobabble" and it doesn't make sense, exactly, as seen/heard "on-screen."
Monatomic hydrogen is the most plentiful matter in the universe. That is what you'd be collecting, and what would be most beneficial for a matter/antimatter reaction.
However, the warp coils require warp plasma, not straight deuterium to work;
That's a debatable point.... for two reasons.
First off... what is plasma? It is not a separate material. This is a PHASE of matter... you have solid, liquid, gaseous, and plasma. Those are the four phases of matter. Liquid, gaseous, and plasma are all "fluid" states, since the matter is not organized into a set structure. In liquid state, matter is closely held to adjacent atoms (or molecules) but can move freely relative to them. In gaseous state, the attraction between adjacent atoms (or molecules) is less than the repulsive forces, and they tend to move apart. In plasma state, the matter behaves very similarly to the gaseous state, except that the atoms are dissociated... the electrons are no longer tied to the nuclei.
By the way, there are really two solid states... metallic and crystaline. These are related to the material itself, though, more than the energy state. However, metallic solids have a lot in common with plasma, since in both cases some (or all) of the electrons are not tied to a specific nucleus.
The free state of the electrons in metals is what permits metals to conduct. The free state of the electrons in plasma is what allows plasma to conduct, as well. Plasma is a far better conductor than any "solid state" conductor.
See? You're assuming that the "plasma" is the fuel. There is nothing in Treknology which proves that. It might be that we're talking about hydrogen, superheated so that it's a plasma. Or, we might be talking about something else, superheated and used as an electrical conductor, unrelated to the hydrogen. Either is plausible.
also, the deuterium tanks are in the secondary hull. That being the case, wouldn’t the bussard collectors be better placed near the main deflector, not on the nacelles.
Well, I hate the ongoing "deuterium" term usage, but I'll blame Rick Sternbach and Mike Okuda and the rest of the TNG team for that. They said that instead of just saying "hydrogen" only because it... well, it sounds cooler. But it's nonsensical.
As for where the tankage is found... generally, you store materials near where they'll be used, not where they're collected. It does no good for oil companies to store refined gasoline next to an oil well... they distribute it to gas stations, so we can get it "on demand" most easily."
That said... it's a FLUID. Thus, it's relatively easy to move it from any spot on the ship to any other spot.
Of course, I think that with TMP, they were thinking along the same lines you are. I've generally treated the "light ring" around the TMP deflector dish as a collector. (Your mileage may vary, of course.)
Also, why bother to collect matter if you aren’t going to collect anti-matter also? Without equal stores of both, you’re just hauling empty weight around.
Not true. But a valid point... albeit one which has been dealt with before.
First... the fusion system does not use antimatter. And the impulse thrust system does not use antimatter as a propellant. So, from the standpoint of these systems, bussard collection is entirely meaningful and practical.
From the standpoint of a matter/antimatter reaction, and from the standpoint of a field-drive-based propulsion system (like warp drive), you are correct. You need just as much antimatter as you need matter.
Again, I think Sternbach and Okuda screwed this one up in the TNG technical manual. I get why... they didn't want to have something that might seem like a "perpetual motion machine." But I think that they were wrong.
The idea I buy into is that you don't have to carry a "supply" of antimatter. Instead, that part of the whole FTL propulsion revolution was the discovery of how to "flip" matter... to convert matter into antimatter.
This makes the most sense with the simplest of matter... monatomic hydrogen (just one electron and just one proton to deal with).
So... you need a bit of "magic." Some way of converting conventional matter into antimatter... and then annihilation of the matter and the antimatter... at a net energy gain.
I treat this as a very energy-intensive process. For my own warp nacelle design, I've treated this as though the "antimatter generation" process consumes between 10% and 15% of the total power generation of the engine's reaction. You could still justify it, though, even if it took up 95% of the reaction's energy... it would still be a "net sum gain" process.
A starship cannot rely on "tankers" for fuel... period. It cannot rely on "filling up" at the gas station. It must be able to collect it's own fuel along the way. The math just doesn't work, otherwise.
A couple of years ago, in this forum, we did a study on the energy output of various types of reactions (matter/antimatter, fusion, etc) and the assumed density of interstellar hydrogen. There are a LOT of assumptions you need to make, of course... we've never actually been into interstellar space, have we? But the numbers can actually work out, IF you make certain assumptions (not necessarily matching those in Sternbach and Okuda's work) about the power requirements of warp drive, and about the nature of the collection system (most significantly... you need to review the "effective scoop area" as a projected region in front of the ship, significantly larger than the ship itself).
With these assumptions, you can determine the ideal "area" for self-fueling at impulse... and this is an actual, scientifically-sound conclusion. As for warp... that's all magic, really... but the ST-TNG Tech Manual numbers are dubious in this regard, I think...