Material property identification in composite materials is necessary for material degradation as well as non-destructive characterization. The inverse problem needs a forward simulator. Ultrasonic-guided waves are sensitive to material properties and can be used for the purpose. The stiffness matrix method and group velocity calculation routine are used as the forward solver. The solver outputs polar group velocity curves of two fundamental Lamb wave modes for different material properties and ply layup sequences. The curves can be converted into binary images (black and white) named polar representations for image processing algorithms. The datasets contain polar representations corresponding to different material properties and ply layup sequences of a transversely isotropic laminate.