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An absorbing metafilm is proposed that is based on a dual-concentric-ring resonator design on a flexible substrate. Detailed simulations and parameter studies demonstrate that it has no polarization dependence and has strong absorption performance even at highly oblique angles of incidence. To explain its behavior, the design and its properties are related to the origin of the physical processes of absorption that occur in naturally occurring materials. Variations of this metafilm absorber design are presented that enhance its performance characteristics and its potential for use in several practical applications.