We develop a model for the reflection and transmission of plane waves by an isotropiclayer sandwiched between two uniaxial crystals of arbitrary orientation. In thelaboratory frame, reflection and transmission coefficients corresponding to the principalpolarization directions in each crystal are given explicitly in terms of the axis and propagation directions. The solution is found by first deriving explicitexpressions for reflection and transmission amplitude coefficients for waves propagatingfrom an arbitrarily oriented uniaxial anisotropic material into an isotropic material. Bycombining these results with Lekner’s (1991 J. Phys.: Condens. Matter3 6121–33) earliertreatment of waves propagating from isotropic media to anisotropic media and employing amatrix method we determine a solution to the general form of the multiple reflection case.The example system of a wetted interface between two ice crystals is used to contextualizethe results.