We experimentally demonstrate broadband waveguide crossing arrays showing ultra low loss down to 0.04 dB/crossing (0.9%), matching theory, and crosstalk suppression over 35 dB, in a CMOS-compatible geometry. The principle of operation is the tailored excitation of a low-loss spatial Bloch wave formed by matching the periodicity of the crossing array to the difference in propagation constants of the 1 st -and 3 rd -order TE-like modes of a multimode silicon waveguide. Radiative scattering at the crossing points acts like a periodic imaginary-permittivity perturbation that couples two supermodes, which results in imaginary (radiative) propagation-constant splitting and gives rise to a low-loss, unidirectional breathing Bloch wave. This type of crossing array provides a robust implementation of a key component enabling dense photonic integration. Silicon photonics is beginning to enable complex on-chip optical networks comprising hundreds of devices. One emerging application is energy efficient, chip-scale photonic interconnects for CPU-to-memory communication [1]. With increasing device density and complexity in a planar photonic circuit, efficient waveguide crossings are indispensible in many network topologies [1]. Crossing designs based on adiabatic aperture widening are large and relatively lossy (0.3-1 dB) [2-4], while resonant designs permit low loss and crosstalk in a compact footprint, but have narrow bandwidth [5] (e.g. ∼ 4 nm [6]). Multilayer processes allow reduced scattering in crossing waveguides [7] or their complete isolation through vertical displacement [8], but they require multiple lithographic steps and/or material layers. Multimode-interference (MMI) based crossings [9][10][11][12][13][14], despite ostensibly multimode behavior, have a number of attractive features, with individual crossings down to 0.18 dB loss and 41 dB crosstalk [14].In this Letter, we describe ultra-low-loss waveguide crossing arrays based on a periodic multimode structure. Popović et al. [12] proposed an efficient approach to design a crossing array (Fig. 1) by constructing a low-loss Bloch wave in a matched periodic structure where the optical field synthesizes periodic focii that jump across gaps and avoid diffraction loss and scattering at the crossing points. This concept is reminiscent of periodic lens-array microwave beam guiding [15]. Microphotonic implementations use a minimum of modes to implement focusing physics, eliminate reflections, and introduce new degrees of freedom. In the first experimental demonstration of this concept [16], we showed record low waveguide-crossing loss of 0.04 dB/crossing (0.9%), equal to theoretical design efficiency [12]. Another recent paper [17] demonstrated similar crossing arrays based on our proposal in Ref. 12, achieving 0.14 dB loss, and introduced an improvement based on subwavelength patterning of the sidewalls, reducing the loss further to below 0.02 dB. To our knowledge, these two results represent respectively the lowest achieved crossing loss in CMOS-compatible photolith...