Previous　methods　for　modelling　Rayleigh　waves　produced　by　a　meander-line-coil　electromagnetic　acoustic　transducer　(EMAT)　consisted　mostly　of　two-dimensional　(2D)　simulations　that　focussed　on　the　vertical　plane　of　the　material.　This　paper　presents　a　pseudo-three-dimensional　(3D)　model　that　extends　the　simulation　space　to　both　vertical　and　horizontal　planes.　For　the　vertical　plane,　we　combines　analytical　and　finite-difference　time-domain　(FDTD)　methods　to　model　Rayleigh　waves＇　propagation　within　an　aluminium　plate　and　their　scattering　behaviours　by　cracks.　For　the　horizontal　surface　plane,　we　employ　an　analytical　method　to　investigate　the　radiation　pattern　of　Rayleigh　waves　at　various　depths.　The　experimental　results　suggest　that　the　models　and　the　modelling　techniques　are　valid.