A mathematical description of the intersection of a transmitted beam and a beam-like field of view between two stationary, coplanar, circularly scanning light detection and ranging (lidar) devices is presented. This beam intersection information establishes when scattered signal interference between two lidar devices can occur. Such interference may result in erroneous range data. The fraction of time over which the scanners’ beams intersect is analyzed as a function of rotational frequencies and their reference phases. It is shown that the minima and maxima of this fraction are 0 and 1 / 2, with most configurations resulting near 1 / 4. A procedure to adjust the scan rates and phases to minimize this intersection time (including zero intersection) thus reducing the risk of mutual interference is also outlined. Four configurations that produce zero intersection between two scanners are presented. Configurations of three and four scanners are also presented for which no intersections between the scanners’ transmission paths occur.
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