A resonator device for a magnetic resonance system, the resonator device having a birdcage structure and comprising: a resonator body comprising a periodic arrangement of a plurality of cells (150a, 150b, 150c, 150d) about a central interior region, each cell being rectangular and comprising a dielectric substrate (110a, 110b, 110c, 110d) and thin-film conductors (120a-d, 130a-d, 140a-d) disposed on the dielectric substrate (110a, 110b, 110c, 110d); wherein each respective cell extends parallel to a longitudinal direction that is parallel to the largest dimension of the central interior region; wherein the plurality of cells (150a, 150b, 150c, 150d) forms lateral faces of the resonator body, and the thin-film conductors (120a-d) in each respective cell form: a leg element comprising an elongate leg element conductor (120a, 120b, 120c, 120d), wherein the leg element extends in the longitudinal direction; a first ring element comprising a first elongate ring element conductor (130a, 130b, 130c, 130d), wherein the first ring element extends perpendicular to the leg element; and a second ring element comprising a second elongate ring element conductor (140a, 140b, 140c, 140d), wherein the second ring element extends perpendicular to the leg element; wherein the leg element extends from a central portion of the first ring element, along a center of the lateral face formed by the respective cell, to a central portion of the second ring element; wherein the plurality of cells (150a, 150b, 150c, 150d) forms a closed circumferential surface about the central interior region, and the dielectric substrate (110a, 110b, 110c, 110d) of each cell occupies substantially an entire area allocated to the cell in the circumferential surface; wherein each cell comprises an interior surface facing the central interior region and an exterior surface facing opposite the central interior region, and the dielectric substrate (110a, 110b, 110c, 110d) is planar on the exterior surface of each cell; and the periodic arrangement of the plurality of cells defining a periodic network of inductive and capacitive elements adapted to produce a magnetic field in the central interior region. a resonator body comprising a periodic arrangement of a plurality of cells (150a, 150b, 150c, 150d) about a central interior region, each cell being rectangular and comprising a dielectric substrate (110a, 110b, 110c, 110d) and thin-film conductors (120a-d, 130a-d, 140a-d) disposed on the dielectric substrate (110a, 110b, 110c, 110d); wherein each respective cell extends parallel to a longitudinal direction that is parallel to the largest dimension of the central interior region; wherein the plurality of cells (150a, 150b, 150c, 150d) forms lateral faces of the resonator body, and the thin-film conductors (120a-d) in each respective cell form: a leg element comprising an elongate leg element conductor (120a, 120b, 120c, 120d), wherein the leg element extends in the longitudinal direction; a first ring element comprising a first elongate ring element conductor (130a, 130b, 130c, 130d), wherein the first ring element extends perpendicular to the leg element; and a second ring element comprising a second elongate ring element conductor (140a, 140b, 140c, 140d), wherein the second ring element extends perpendicular to the leg element; a leg element comprising an elongate leg element conductor (120a, 120b, 120c, 120d), wherein the leg element extends in the longitudinal direction; a first ring element comprising a first elongate ring element conductor (130a, 130b, 130c, 130d), wherein the first ring element extends perpendicular to the leg element; and a second ring element comprising a second elongate ring element conductor (140a, 140b, 140c, 140d), wherein the second ring element extends perpendicular to the leg element; wherein the leg element extends from a central portion of the first ring element, along a center of the lateral face formed by the respective cell, to a central portion of the second ring element; wherein the plurality of cells (150a, 150b, 150c, 150d) forms a closed circumferential surface about the central interior region, and the dielectric substrate (110a, 110b, 110c, 110d) of each cell occupies substantially an entire area allocated to the cell in the circumferential surface; wherein each cell comprises an interior surface facing the central interior region and an exterior surface facing opposite the central interior region, and the dielectric substrate (110a, 110b, 110c, 110d) is planar on the exterior surface of each cell; and the periodic arrangement of the plurality of cells defining a periodic network of inductive and capacitive elements adapted to produce a magnetic field in the central interior region.