A fiber-optic interferometric measurement system including: - a broad-spectrum light source adapted to emit a source light beam; - a beam splitter adapted to receive the source light beam and to form a first split source beam and a second split source beam; - first optical transmission means of optical length l 1 adapted to transmit the first split source beam and second optical transmission means of optical length l 2 adapted to transmit the second split source beam; - a first Sagnac ring interferometer including a first fiber-optic coil and a first individual integrated optical circuit connected on the one hand to the first optical transmission means and on the other hand to the two ends of the first fiber-optic coil, the first fiber-optic coil having a length L 1 and a group birefringence index difference Δ N b1; - a first detector adapted to detect a first interferometric signal formed by the propagation of the first split source beam in the first Sagnac ring interferometer; - a second Sagnac ring interferometer comprising a second fiber-optic coil and a second individual integrated optical circuit connected on the one hand to the second optical transmission means and on the other hand to the two ends of the second fiber-optic coil, the second fiber-optic coil having a length L 2 and a group birefringence index difference Δ N b 2; - a second detector adapted to detect a second interferometric signal formed by the propagation of the second split source beam in the second Sagnac ring interferometer; and - a multiple integrated optical circuit integrating on a same substrate the first individual integrated optical circuit and the second individual integrated optical circuit, characterized in that: - the difference Δl between the optical length l 1 of the first optical transmission means and the optical length l 2 of the second optical transmission means is higher than the maximum of Δ N b 1 x L 1 and Δ N b 2 x L 2. - a broad-spectrum light source adapted to emit a source light beam; - a beam splitter adapted to receive the source light beam and to form a first split source beam and a second split source beam; - first optical transmission means of optical length l 1 adapted to transmit the first split source beam and second optical transmission means of optical length l 2 adapted to transmit the second split source beam; - a first Sagnac ring interferometer including a first fiber-optic coil and a first individual integrated optical circuit connected on the one hand to the first optical transmission means and on the other hand to the two ends of the first fiber-optic coil, the first fiber-optic coil having a length L 1 and a group birefringence index difference Δ N b1; - a first detector adapted to detect a first interferometric signal formed by the propagation of the first split source beam in the first Sagnac ring interferometer; - a second Sagnac ring interferometer comprising a second fiber-optic coil and a second individual integrated optical circuit connected on the one hand to the second optical transmission means and on the other hand to the two ends of the second fiber-optic coil, the second fiber-optic coil having a length L 2 and a group birefringence index difference Δ N b 2; - a second detector adapted to detect a second interferometric signal formed by the propagation of the second split source beam in the second Sagnac ring interferometer; and - a multiple integrated optical circuit integrating on a same substrate the first individual integrated optical circuit and the second individual integrated optical circuit, - the difference Δl between the optical length l 1 of the first optical transmission means and the optical length l 2 of the second optical transmission means is higher than the maximum of Δ N b 1 x L 1 and Δ N b 2 x L 2.