I haven't re-bent a door like yours, but thinking more about this and thinking/writing "outloud" here...
-- It's only bent on the non-handle side? That kind of makes sense since the handle would keep that side/edge from bowing.
-- Use a propane/kerosene "torpedo" heater to warm the door. Monitor it, and you can control the heat the door sees by moving the heater.
-- Put the door in a jig that would only allow the door to only bend slightly past "normal". For example, use some 2x's and plywood to support the door upside down, with a "stop" underneath so the door doesn't bow too far by mistake. Just as a quick way to help explain: Imagine a wooden shipping skid with the top planks removed and replaced with plywood. That plywood would then have a large enough hole cut out of it to allow the affected section of the door to bend back into shape (it would be a rather large hole, though, so it bends back gradually and smoothly). The door would sit on this upside down. Heat would be introduced at one end of the skid and exit the other. You could further help control the heat by partially blocking the exit side of the skid, if needed - although at first though I don't think you'd need that.
-- Be sure to make the jig such that no heat is directed toward the "waterfall" edge/curve in the door - you don't want to make more work for yourself. Make the jig so it supports the vertical section of the door, keeping it completely supported/immovable.
-- You may very well be able to do this with a heat gun, as mentioned, too. Use your hand on the affected area of the door to know when/where to apply more or less heat.
-- I have bent small and large PVC pipe with a heat gun a few times. If you go slow, keep the heat evenly distributed in the affected area, don't keep the heat gun in one place too long, it works well. But from what Frank said about how quickly the polycarbonate will go from solid to floppy, it sounds like it is less forgiving than PVC. Use your eyes and hands as your guides, go slow, and I think it's doable.
-- Buy a piece of polycarbonate and practice.
-- Buy a piece of polycarbonate and practice some more.
-- Buy a piece of polycarbonate and practice again.
-- It's only bent on the non-handle side? That kind of makes sense since the handle would keep that side/edge from bowing.
-- Use a propane/kerosene "torpedo" heater to warm the door. Monitor it, and you can control the heat the door sees by moving the heater.
-- Put the door in a jig that would only allow the door to only bend slightly past "normal". For example, use some 2x's and plywood to support the door upside down, with a "stop" underneath so the door doesn't bow too far by mistake. Just as a quick way to help explain: Imagine a wooden shipping skid with the top planks removed and replaced with plywood. That plywood would then have a large enough hole cut out of it to allow the affected section of the door to bend back into shape (it would be a rather large hole, though, so it bends back gradually and smoothly). The door would sit on this upside down. Heat would be introduced at one end of the skid and exit the other. You could further help control the heat by partially blocking the exit side of the skid, if needed - although at first though I don't think you'd need that.
-- Be sure to make the jig such that no heat is directed toward the "waterfall" edge/curve in the door - you don't want to make more work for yourself. Make the jig so it supports the vertical section of the door, keeping it completely supported/immovable.
-- You may very well be able to do this with a heat gun, as mentioned, too. Use your hand on the affected area of the door to know when/where to apply more or less heat.
-- I have bent small and large PVC pipe with a heat gun a few times. If you go slow, keep the heat evenly distributed in the affected area, don't keep the heat gun in one place too long, it works well. But from what Frank said about how quickly the polycarbonate will go from solid to floppy, it sounds like it is less forgiving than PVC. Use your eyes and hands as your guides, go slow, and I think it's doable.
-- Buy a piece of polycarbonate and practice.
-- Buy a piece of polycarbonate and practice some more.
-- Buy a piece of polycarbonate and practice again.