A waveguide array that includes a plurality of waveguides disposed in a substrate. The plurality of waveguides include one or more first waveguides that have a first propagation constant and one or more second waveguides that have a second propagation constant, where the first propagation constant differs from the second propagation constant. The one or more first waveguides and the one or more second waveguides are disposed in the substrate in a linear distribution and at least a portion of the linear distribution is arranged based on a quasi-periodic sequence having a plurality of sequence segments. Each sequence segment is determined based on a quasi-periodic function, has an order, and corresponds to an arrangement segment of a first waveguide, a second waveguide, or combinations thereof. The linear distribution includes at least one arrangement segment corresponding with a third-order sequence segment or higher of the quasi-periodic sequence.