Mِssbauer filtration of synchrotron radiation at an isotope interface with a saw-like layer

Mِssbauer filtration of Synchrotron Radiation (SR) due to resonant Mِssbauer scattering at an isotope interface (a plane interface between different isotopes of the same chemical element) under conditions of total internal reflection is theoretically investigated. The mentioned scheme of Mِssbauer filtration of SR allows one to suppress the background connected with the nonresonant SR scattering because of the absence of reflection at the isotope interface if there is no resonant scattering. It is also shown that an additional decrease of the background connected with SR reflection at the vacuum-non-Mِssbauer isotope interface may be achieved if the vacuum-non-Mِssbauer isotope interface has a saw-like profile. Numerical calculations illustrating advantages of the proposed scheme of SR Mِssbauer filtration are carried out for a 56Fe57Fe isotope interface.