“…The Faraday-rotation, which is the basis of the nonreciprocal effects, can be enhanced by bismuth substitution. Various kinds of optical isolators have been proposed [1,2,3,4,5,6,7,8,9,10]. Some promising concepts of integrated optical isolators and circulators rely on the nonreciprocal phase shift of TM modes [11,12], which is the difference ∆β = β fw − β bw between the forward and backward propagation constants β fw and β bw of TM modes, respectively.…”