A perimeter truss reflector, comprising: a perimeter truss assembly, PTA, comprised of a plurality of battens, each having an length which traverses a PTA thickness as defined along a direction aligned with a reflector central axis; the PTA configured to expand between a collapsed configuration wherein the battens are closely spaced with respect to one another and an expanded configuration wherein a distance between the battens is increased as compared to the collapsed configuration such that the PTA defines a hoop; and a collapsible mesh reflector surface secured to the PTA such that when the PTA is in the collapsed configuration, the reflector surface is collapsed for compact stowage and when the PTA is in the expanded configuration, the reflector surface is expanded to a shape that is configured to concentrate RF energy in a predetermined pattern; the PTA comprising one or more longerons, each of the one or more longerons extending around at least a portion of a periphery of the PTA, and each of the one or more longerons comprising a storable extendible member, SEM, which can be flattened and rolled around a spool, but exhibits beam-like structural characteristics when unspooled, wherein the PTA has a plurality of truss corners, wherein each of said truss corners is respectfully associated with a corresponding one of the plurality of battens; characterized in that the SEM comprising one of one or more longerons is flattened and bent where it extends around the truss corners, wherein the SEM is selected from a group consisting of a slit-tube, a Storable Tubular Extendible Member, STEM, a Triangular Rollable and Collapsible, TRAC, boom, and a Collapsible Tubular Mast, CTM. a perimeter truss assembly, PTA, comprised of a plurality of battens, each having an length which traverses a PTA thickness as defined along a direction aligned with a reflector central axis; the PTA configured to expand between a collapsed configuration wherein the battens are closely spaced with respect to one another and an expanded configuration wherein a distance between the battens is increased as compared to the collapsed configuration such that the PTA defines a hoop; and a collapsible mesh reflector surface secured to the PTA such that when the PTA is in the collapsed configuration, the reflector surface is collapsed for compact stowage and when the PTA is in the expanded configuration, the reflector surface is expanded to a shape that is configured to concentrate RF energy in a predetermined pattern; the PTA comprising one or more longerons, each of the one or more longerons extending around at least a portion of a periphery of the PTA, and each of the one or more longerons comprising a storable extendible member, SEM, which can be flattened and rolled around a spool, but exhibits beam-like structural characteristics when unspooled, wherein the PTA has a plurality of truss corners, wherein each of said truss corners is respectfully associated with a corresponding one of the plurality of battens; characterized in that the SEM comprising one of one or more longerons is flattened and bent where it extends around the truss corners, wherein the SEM is selected from a group consisting of a slit-tube, a Storable Tubular Extendible Member, STEM, a Triangular Rollable and Collapsible, TRAC, boom, and a Collapsible Tubular Mast, CTM.