An iterative method is proposed in this paper for calculating the reflection and transmission of a plane electromagnetic wave incident on multilayered chiral slabs. The waves in each region are decomposed into upward and downward left-circularly polarized (LCP) waves and right-circularly polarized (RCP) waves, respectively. Field relations in adjacent regions of the chiral multilayers are established according to electromagnetic field boundary conditions. By introducing ratio relations between upward and downward waves, an iterative relation is constructed. The iterative relation is represented by matrices of size 2 × 2, to avoid lengthy analytical expressions. Finally, the reflected and transmitted waves can be calculated by using the incident RCP or LCP wave. The method provides a new route for reflection and transmission problems of chiral multilayers. And the idea may offer inspiration to research on other cases such as bi-isotropic and anisotropic multilayers.
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