From your description these straight tubular lamps must be fluorescent lamps.
If so, the reflector design does not really need any software or calculation.
The reason is because the gas discharge between the end electrodes of a fluorescent tube is mostly ultraviolet light inside the glass envelope.
If the glass was clear, all you would see is a dark purplish coloured discharge thin column through the gas in the tube.
To make a fluorescent lamp efficient emitters of light visible to people, toxic phosphors of various types are sprayed against the inside of the glass tube.
The ultraviolet light from the discharge column inside the tube excites the phosphors, they in turn being excited radiate the energy mostly in the light spectrum which is visible to us.
Consequently, the radiating surface of the light is spread over the circumference and length of the lamp - it is not a concentrated light source such as a small filament.
Thus almost any reflector, shiny or painted white will do as a reflecting surface.
If your lamp/s are not fluorescent types, please advise with proper description, and further advice may be given.
Kind Regards....
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