Ok,
TS, jeanie is looking for a ring flash, a type of flash the is in circular shape and go round the lens of the camera when in use.
the flash you show here, is a studio flash with modeling lamp. not ring flash.
third, most studio flash with modeling lamps (any brands), have the option of the brightness control of the modeling lamps, on or off, on or off when the flash trigger (means the lamp is on when the flash is trigger, or the lamp go off when the flash is trigger, on again when the flash is charge)
Agreed with catchlights on this.
The part "or the lamp go off when the flash is trigger, on again when the flash is charge" is sometime also refer to as "blackout" refering to the short duration of time when the lights is "blackouted" before turning on again when the flash is charged. The Elinchrome 500 do not have this function, only the " on /off " function.