ESR imaging: spatial deconvolution in the presence of an asymmetric hyperfine structure

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Abstract
The authors discuss the spatial deconvolution of ESR spectra in the presence of asymmetric hyperfine structures. The calculated spin-density spatial distribution is shown to be the convolution of the real spatial distribution and a distortion function whose properties are discussed. In particular, if the linewidths of the paramagnetic species are constant over the whole sample volume, errors in the determination of the linewidths result in a finite amount of smearing of the deconvolutions. The simultaneous presence of more than one linewidth gives rise to an oscillating pattern whose amplitude depends on the hyperfine parameters and on the spin distribution. Examples are given for doublet and triplet hyperfine structures.

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