Part of the ‘Antique Fabrics‘ series, this fabric isn’t necessarily extinct, but it was more popular in the past than the present.
AKA Reps.
Fabric with closely spaced ribs running in the direction of the weft. Popular for upholstery in the 19th century, especially curtains.
Historically, it was made from silk. Can still be found in silk, cotton or synthetic fibers, primarily as a décor fabric, but my poking around suggests that it has been supplanted by other fabrics.
For a close-enough equivalent, consider bengaline, faille, taffeta or ottoman.
Fabric For Cosplayers