Beam shifts and eigenpolarisations for the reflection of vortex beams from homogeneous magnetic surfaces
Abstract
Probing surfaces with optical beams is a powerful technique utilised for material characterisation, and more recently, measuring surface magnetisation with vortex beams has opened new avenues by utilising OAM beams for metrology. In this paper, we focus on extending the theoretical framework of unit order vortex beam reflection to spatially homogeneous magnetic surfaces, and derive expressions for the Goos-Hänchen (GH) and Imbert-Federov (IF) shifts. We calculate closed form expressions for the plane wave eigenpolarisations, polarisations which remain in the same vectorial direction after reflection, for both dielectric and homogeneous magnetic surfaces. These are found by extending the singularimetry formalism for dielectric surfaces, where the position of the phase vortex can be analytically approximated by taking into account the finite beam width, to homogeneous magnetic surfaces. From this we find the eigenpolarisations of the unit order vortex beam for reflection from both dielectric and homogeneous magnetic surfaces. We discuss with relation to the analytical forms of the Jones matrices for GH and IF shifts the additional reflection behaviour observed for homogeneous magnetic surfaces.
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BibTeX
@misc{gilmour2026beam,
title = {{Beam shifts and eigenpolarisations for the reflection of vortex beams from homogeneous magnetic surfaces}},
author = {Mairi Gilmour and Sarah Croke and Jörg B. Götte},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.14100},
eprint = {2606.14100},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.14100},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Beam shifts and eigenpolarisations for the reflection of vortex beams from homogeneous magnetic surfaces
AU - Mairi Gilmour
AU - Sarah Croke
AU - Jörg B. Götte
PY - 2026
DA - 2026/10/15
PB - arXiv
DO - 10.48550/arxiv.2606.14100
UR - https://arxiv.org/abs/2606.14100
AB - Probing surfaces with optical beams is a powerful technique utilised for material characterisation, and more recently, measuring surface magnetisation with vortex beams has opened new avenues by utilising OAM beams for metrology. In this paper, we focus on extending the theoretical framework of unit order vortex beam reflection to spatially homogeneous magnetic surfaces, and derive expressions for the Goos-Hänchen (GH) and Imbert-Federov (IF) shifts. We calculate closed form expressions for the plane wave eigenpolarisations, polarisations which remain in the same vectorial direction after reflection, for both dielectric and homogeneous magnetic surfaces. These are found by extending the singularimetry formalism for dielectric surfaces, where the position of the phase vortex can be analytically approximated by taking into account the finite beam width, to homogeneous magnetic surfaces. From this we find the eigenpolarisations of the unit order vortex beam for reflection from both dielectric and homogeneous magnetic surfaces. We discuss with relation to the analytical forms of the Jones matrices for GH and IF shifts the additional reflection behaviour observed for homogeneous magnetic surfaces.
ER -