Green's function for multilayer arbitrarily biased anisotropic structures-application to phase shifters, transducers, and magnetization angle effect

This paper presents the closed-form Green's function for an arbitrarily biased magnetically anisotropic slab. The Green's function formulated using the transmission matrix is compared with the previously published data for two special cases: the transversely and normally biased ferrite slab. An excellent agreement is achieved. Three microwave devices are investigated using one numerical model that utilizes the derived Green's function by changing the magnetization angle. In the normal magnetization case, the ferrite substrate supports the edge-mode isolators. In the transversal magnetization case, the same structure supports the phase shifters. In the longitudinal magnetization case, the same structure supports magnetic surface wave transducers. The propagation direction in the three cases is kept in the longitudinal direction. A good agreement in all cases with previously published results is achieved. Here, we show only our analysis and results for the phase shifters and transducers, since edge isolator analysis was presented by Elshafiey et al. in 1996. In addition, the effect of the deviation of the magnetization direction from the assumed one is studied, and the improvement of the predicted results compared with experimental ones is shown.