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We theoretically investigate the orbital effects of an in-plane magneticfield on the spectrum of a quantum dot embedded in a two-dimensional electrongas (2DEG). We derive an effective two-dimensional Hamiltonian where theseeffects enter in proportion to the flux penetrating the 2DEG. We quantify thelatter in detail for harmonic, triangular, and square potential of theheterostructure. We show how the orbital effects allow one to extract a wealthof information, for example, on the heterostructure interface, the quantum dotsize and orientation, and the spin-orbit fields. We illustrate the formalism byextracting this information from recent measured data [L.~C.~Camenzind, et al.,arXiv:1804.00162; Nat. Commun. 9, 3454 (2018)].

Orbital effects of a strong in-plane magnetic field on a gate-defined quantum dot