are resistant electrical noise electromagnetic noise, vibration, loud noise, particle beam on a particular focus and heat, particle beam of electromagnetic waves other than, caused by electromagnetic waves, to the recoil of the solid constituent atoms and mechanical disruption, detection to provide an electromagnetic wave-particle beam spectrometer and electromagnetic wave-particle beam spectroscopic methods spectral function with a strong resistance as compared to the energy decomposition prior art with respect to radiation exposure means is hardly deteriorated. The Laplace transform filter 11 to Laplace transform the intensity of the incident spectrum, and the detecting element 15 for detecting the transmitted intensity of the incident spectrum by inverse Laplace transform the transmitted intensity of the incident spectrum is detected, spectrometer 10 Laplace transform filter I comprises an arithmetic unit 17 for calculating the incident intensity of the incident spectrum incident on the 11.
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