Disclosed is a desorber (20) for an air conditioning system with an integrated microemulsion-based air dehumidification system, the desorber having: a desorbing sheet that is wound to form an exterior end (21), an interior end (22), a top end and bottom end, wherein a collection tube (23) is disposed at the interior end and the desorbing sheet has: a plurality of de-entrainment mesh layers extending between the exterior end and the interior end of the desorbing sheet, and a plurality of substantially air impermeable connector layers extending between the exterior end and the interior end of the desorbing sheet, wherein the connector layers are interlaid with the mesh layers between the top end and the bottom end of the desorbing sheet.