What does a reverse phase dimmer circuit look like?
A reverse phase dimmer does not have a triac but an IGBT or MOSFET. Such a dimmer contains also the electronics needed to modulate this device. These electronics can be simple or very complex. 

The principle is simple. The mains AC is fed into a bridge rectifier with in the centre the IGBT or MOSFET. The IGBT or MOSFET can be switched on and off at any moment. The AC can be triggered on the leading edge, The trailing edge or somewhere in between and for the duration needed.

This makes such a dimmer suitable for:
Halogen lamps
Standard incandescent lamps
Electronic mains LED lamps of different kind.
etc.

If the dimmer needs with different kind of lamps then the control system has several settings to make that possible. In case of remote control the dimmer can become expensive.

Using the principle with the bridge rectifier and the IGBT or MOSFET it would be possible to make yourself but I did not work that out. Maybe the schematic included helps. The dimmers are very sensitive to overload but since only the IGBT or MOSFET is destroyed also simple to repair.

Remark: The previous picture had some wrong earth connections so I have changed it. The incomming PWM circuit is isolated from the mains side. Thanks to Elektor.