ABSTRACTWithin the effective mass approximation framework, the electronic and optical properties of GaAs-based two-dimensional eccentric quantum rings subjected to a transverse magnetic field with an inclination θ-angle to the x-axis are investigated using a two-dimensional diagonalisation method. The results show that the electron energy spectra in concentric quantum rings reveal transparency to the action of magnetic field orientation, contrary to their optical properties, which turn out to be anisotropic with this later. In addition, the eccentricity preserves the absorption coefficient spectra for y-polarisation for all orientations of the magnetic field qualitatively, while those of x-polarisation are significantly modified by eccentricity and magnetic field. Specific peak transitions occurring at specific magnetic field values and θ-angle can be used as a signature of magnetic field orientation and eccentricity.KEYWORDS: Eccentric quantum ringtransverse magnetic fieldintersubband transitionsabsorption spectradiagonalisation method AcknowledgmentsCAD is grateful to the Colombian Agencies: CODI-Universidad de Antioquia (Estrategia de Sostenibilidad de la Universidad de Antioquia and projects 'Propiedades magneto-ópticas y óptica no lineal en superredes de Grafeno', 'Estudio de propiedades ópticas en sistemas semiconductores de dimensiones nanoscópicas', 'Propiedades de transporte, espintrónicas y térmicas en el sistema molecular ZincPorfirina', and 'Complejos excitónicos y propiedades de transporte en sistemas nanométricos de semiconductores con simetría axial'), and Facultad de Ciencias Exactas y Naturales-Universidad de Antioquia (CAD exclusive dedication project 2022–2023). The authors are grateful to Prof. Dr. J. A. Vinasco for useful discussions.Author contributionsThe contributions of the authors are as follows: D. Senouci was responsible from the of the numerical calculations and editing of manuscript. D. Nasri proposed the problem and was responsible of the numerical calculations, writing and editing of the manuscript. C. A. Duque was responsible of the numerical calculations and discussions.Disclosure statementThe authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.Data availability statementAll the files with tables, figures, and codes are available. The corresponding author will provide all the files in case they are requested.Additional informationFundingThis work has been supported by the DGRST (Direction Générale de la Recherche Scientifique et du Développement Technologique).