All this "phaser B, phaser IV, phaser V" nonsense is just after the fact retconning to try to rationalize what we see in the movies. :lol
The "TMP phaser" was just conceived as a "better" prop to replace the TOS phaser (let's ignore for the moment the question of whether they succeeded)... the prop is barely visible on screen and does not really have an official designation. As you can see from the design drawings (Brick Price and Andy Probert's), these guys did think in terms of attachable modules, phaser 1 snaps into phaser 2 pistol mount, snaps into phaser 3 shoulder stock.
However when Trek III rolled around, the phaser props were suddenly redesigned again. There was no overt reason for this, and in fact it makes little sense (Trek III takes place only days after the events of Trek II, and it is highly implausible that there would suddenly be a new phaser design in use aboard the ship).
As far as I know, there was never any need at the time to refer to the phaser by model number or type or designation, so there was no "official" nomenclature. Fans however have come up with many incompatible systems for organizing the various phaser designs. Unfortunately we don't even have a "Franz Joseph" to lend any of these systems enough credibility to make them "canon".
If however Mike Okuda and Rick Sternbach gave the phasers designations, I would suggest that these are probably the closest to "canon" that you're going to find. I don't have my Star Trek Encyclopedia handy, but that would be the place to look.
K
The "TMP phaser" was just conceived as a "better" prop to replace the TOS phaser (let's ignore for the moment the question of whether they succeeded)... the prop is barely visible on screen and does not really have an official designation. As you can see from the design drawings (Brick Price and Andy Probert's), these guys did think in terms of attachable modules, phaser 1 snaps into phaser 2 pistol mount, snaps into phaser 3 shoulder stock.
However when Trek III rolled around, the phaser props were suddenly redesigned again. There was no overt reason for this, and in fact it makes little sense (Trek III takes place only days after the events of Trek II, and it is highly implausible that there would suddenly be a new phaser design in use aboard the ship).
As far as I know, there was never any need at the time to refer to the phaser by model number or type or designation, so there was no "official" nomenclature. Fans however have come up with many incompatible systems for organizing the various phaser designs. Unfortunately we don't even have a "Franz Joseph" to lend any of these systems enough credibility to make them "canon".
If however Mike Okuda and Rick Sternbach gave the phasers designations, I would suggest that these are probably the closest to "canon" that you're going to find. I don't have my Star Trek Encyclopedia handy, but that would be the place to look.
K