title: Axially uniform magnetic field-modulation excitation for electron paramagnetic resonance in rectangular and cylindrical cavities by slot cutting.
abstract: In continuous-wave (CW) Electron Paramagnetic Resonance (EPR) a low-frequency time-harmonic magnetic field, called field modulation, is applied parallel to the static magnetic field and incident on the sample. Varying amplitude of the field modulation incident on the sample has consequences on spectral line-shape and line-height over the axis of the sample. Here we present a method of coupling magnetic field into the cavity using slots perpendicular to the sample axis where the slot depths are designed in such a way to produce an axially uniform magnetic field along the sample. Previous literature typically assumes a uniform cross-section and axial excitation due to the wavelength of the field modulation being much larger than the cavity. Through numerical analysis and insights obtained from the eigenfunction expansion of dyadic Green's functions, it is shown that evanescent standing-wave modes with complex cross-sections are formed within the cavity. From this analysis, a W-band (94GHz) cylindrical cavity is designed where modulation slots are optimized to present a uniform 100kHz field modulation over the length of the sample.
authors.affiliation: Medical College of Wisconsin, Department of Biophysics, Milwaukee, WI 53226, USA. Electronic address: jason.sidabras@gmail.com.
authors.forename: Jason W
authors.initials: JW
authors.lastname: Sidabras
authors.affiliation: Marquette University, Department of Electrical and Computer Engineering, Milwaukee, WI 53233, USA.
authors.forename: James E
authors.initials: JE
authors.lastname: Richie
authors.affiliation: Medical College of Wisconsin, Department of Biophysics, Milwaukee, WI 53226, USA.
authors.forename: James S
authors.initials: JS
authors.lastname: Hyde
mesh_terms: D000465:Algorithms; D004574:Electromagnetic Fields; D004578:Electron Spin Resonance Spectroscopy / Q000379:methods*; D004867:Equipment Design; D008872:Microwaves; D016011:Normal Distribution
keywords: Boundary conditions; Dyadic Green’s functions; Eigenvalues and eigenfunctions; Electromagnetic fields; Electron paramagnetic resonance; Waveguide evanescent modes