There was originally a sliding screen door but I have not been able to find a replacement that fits or works properly. I would like to use a regular screen door to replace rather than a slider but not sure if this can be done properly.
Use a wood screen door to replace a sliding screen door on a french door
screens
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Guardian is the manufacturer of the glass itself, but not the door assembly. See http://www.guardian.com/en/na/gd_002563.html
I think the key to finding the proper sliding screen is going to be finding out the manufacturer of the assembly. Have you looked all around the door frame for a nameplate?
I would recommend you build it yourself. None of the building supply versions that I've seen can stand up too much more than 3 years of weathering. They use cheap fasteners that rust and stain the second year.
Self construction will allow custom size openings. Weaving is another possibility.
Teak, ipe, redwood and cedar, in that order, would be my top choices for natural or stained.
Stainless fasteners are a must.
Best Answer
It can be done if you make/find a screen door the right size.
You would have to get a screen door track (top an bottom) and wheels to match that you groove into the bottom of door.
There are all different set ups depends on the brand you get.
EDIT:.
You will have to measure it and order a door to size.
Or get one a little bigger and plane/cut to size. Then fit your hinges.