A series of open-shape nuclear quadrupole resonance (NQR) sensors having environmental noise resilience and a capability for simultaneous independent multi-frequency operation is disclosed. The sensors are multimodal birdcage or TEM-type structures made from single-turn or multi-turn interconnected windows or magnetically coupled elements having uniform distributions of the amplitudes of the corresponding radiofrequency magnetic fields along their surfaces. The phases of these fields change in a cyclical fashion, such that the interference signals are picked up with opposite phases by different parts of the sensors and are, therefore, cancelled out. The devices may have a planar or a curved shape and may or may not be shielded on one side. Planar unshielded sensors may be used to simultaneously detect signals from objects positioned on both of their sides.