Degeneracy of energy cross sections in scattering of light

We rigorously prove that under an electromagnetic plane wave with linear polarization incident normally to cylindrical passive scatterers, a single energy diagram can integrate absorption, scattering, and extinction cross sections for general scattering states. At the boundary of the energy diagram, not only the magnitudes of scattering coefficients, but also its phases, are required the same, corresponding to superabsorption or superscattering. When systems consist of a larger order of scattering resonances, its energy diagram can completely cover systems with lower one. This result displays the degenerate property of energy distribution in scattering of light. Hence, systems with different resonant orders may have the same energy performances, with potential applications on offering more degrees of freedom in designs of devices associated with energy issues. We demonstrate various systems based on real materials to support this finding.