title: The harmonic inversion of the field-swept fixed-frequency resonance spectrum.
abstract: When the spin Hamiltonian is a linear function of the magnetic field intensity the resonance fields can be determined, in principle, by an eigenfield equation. In this report, we show a new technical approach to the resonance field problem where the eigenfield equation leads to a dynamic equation or, more specifically, to a first order differential equation of a variable L(x), where x is associated with the magnetic field h. Such differential equation has the property that: its stationary solution is the eigenfield equation and the spectral information contained in L(x) is directly related to the resonance spectrum. Such procedure, known as the "harmonic inversion problem" (HIP), can be solved by the "filter diagonalization method" (FDM) providing sufficient precision and resolution for the spectral analysis of the dynamic signals. Some examples are shown where the resonance fields are precisely determined in a single procedure, without the need to solve eigenvalue equations.
authors.affiliation: Instituto de Física de São Carlos, Universidade de São Paulo, P.O. Box 369, 13560-970 São Carlos, SP, Brazil. magon@if.sc.usp.br
authors.forename: Claudio José
authors.initials: CJ
authors.lastname: Magon
authors.forename: José Fernando
authors.initials: JF
authors.lastname: Lima
authors.forename: Ronny Rocha
authors.initials: RR
authors.lastname: Ribeiro
authors.forename: Mateus José
authors.initials: MJ
authors.lastname: Martins
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D004578:Electron Spin Resonance Spectroscopy / Q000379:methods*; D008962:Models, Theoretical; D009716:Numerical Analysis, Computer-Assisted