Second derivative analysis and alternative data filters for multi-dimensional spectroscopies: a Fourier-space perspective
arXiv:1906.09608 · doi:10.1016/j.elspec.2019.05.001
Abstract
The second derivative image (SDI) method is widely applied to sharpen dispersive data features in multi-dimensional spectroscopies such as angle resolved photoemission spectroscopy (ARPES). Here, the SDI function is represented in Fourier space, where it has the form of a multi-band pass filter. The interplay of the SDI procedure with undesirable noise and background features in ARPES data sets is reviewed, and it is shown that final image quality can be improved by eliminating higher Fourier harmonics of the SDI filter. We then discuss extensions of SDI-like band pass filters to higher dimensional data sets, and how one can create even more effective filters with some a priori knowledge of the spectral features.
7 pages, 5 figures
References in corpus (10)
- A precise method for visualizing dispersive features in image plots
- A universal high energy anomaly in angle resolved photoemission spectra of high temperature superconductors - possible evidence of spinon and holon branches
- High-energy kink in high-temperature superconductors
- The hierarchy of multiple many-body interaction scales in high-temperature superconductors
- Anomalous high energy dispersion in photoemission spectra from insulating cuprates
- High-energy scale revival and giant kink in the dispersion of a cuprate superconductor
- "Waterfalls" in cuprates
- "Waterfalls" phenomenon in superconducting cuprates
- High Energy Dispersions in Bi2Sr2CaCu2O8 High Temperature Superconductor from Laser-Based Angle-Resolved Photoemission
- Effect of strong correlations on the high energy anomaly in hole- and electron-doped high-Tc superconductors