We measure the next-nearest-neighbour coupling in an array of coupled optical waveguides directly via an integrated eigenmode interferometer. In contrast to light propagation experiments, the technique is insensitive to nearest-neighbour dynamics. Our results show that second-order coupling in a linear configuration can be suppressed well below the level expected from the exponential decay of the guided modes.50 years past its proposition 1 , evanescent coupling between optical waveguides has become a standard part in the optical engineer's toolbox and is now widely applied in science and industry 2 . Extended lattices of coupled waveguides have been used for various fundamental studies and applications, ranging from artificial graphene 3,4 and quantum walks 5-8 to mode-locking of lasers 9 and quantum state preparation 10,11 . These systems are usually based on coupling between nearest neighbours. Coupling between more distant sites can often be neglected, due to an exponential decay of the waveguide modes 12 . Yet, there are configurations for which precise knowledge and control of such couplings become crucial. For instance, some one-dimensional arrays are designed towards an effective cancellation of nearest-neighbour coupling after certain distances, such that coupling between next-nearest-neighbours (henceforth termed 'second-order coupling') can become the dominant mechanism of transverse transport [13][14][15][16] . Evidently, the distance between next-nearest neighbours in two-dimensional lattices does not need to be much larger than the one between nearest neighbours 4,7 . Therefore, second-order coupling is often quite relevant in such systems. Moreover, second-order coupling has been shown to have considerable impact in nonlinear optics, where it determines the existence of a power treshold for discrete solitons 17 , as well as on two-particle interference conditions in the quantum regime 18 .In order to obtain systematic knowledge of how and with which strength second-order coupling arises in the configurations of interest it would be desirable to measure it directly. However, its subtle influence on the propagation dynamics is often masked by the much stronger firstorder coupling (or the unknown fidelity of its cancelling mechanism), such that it is quite hard to unambiguously extract the second-order coupling from light propagation experiments. It seems more promising to use the impact of second-order coupling on the eigenmodes of the system for experimental access. Indeed, second-and even third-order coupling in square and honeycomb lattices of microwave resonators have been unambiguously identia) Electronic mail: robert.keil@uibk.ac.at fied from their frequency spectra 19 . In optics, however, a direct measurement of waveguide eigenmodes is more challenging and requires interferometric techniques. In this work, we present such a method and apply it to measure second-order coupling in the most fundamental system where it can occur -an array of three waveguides. In particular, we investigate whethe...