A lighting system comprising an optical device and an LED assembly, said optical device comprising a body including: a lower surface that is substantially transparent and said LED assembly being disposed proximate to the lower surface, wherein said lower surface comprising lower surfaces (202A, 202B, 202C); an upper surface disposed opposite the lower surface and having a first specular layer disposed thereon arranged for reflecting light passing through the lower surface from said LED assembly; and a first lateral surface extending between the lower surface and the upper surface and having a second specular layer disposed on at least a portion thereof, wherein the second specular layer is disposed on a lower region of the first lateral surface that is proximate to the lower surface, said second specular layer being arranged to generate mixed light; and said optical device being arranged to pass said mixed light through the first lateral surface; and wherein the upper surface comprises a first planar surface and a second planar surface, the first planar surface forms a first acute angle with the first lateral surface, and the second planar surface forms a second acute angle with a second lateral surface that extends between the lower surface and the upper surface; and wherein the second specular layer is disposed on a lower region of the first lateral surface that is proximate to the lower surface and on an upper region of the first lateral surface that is proximate to the upper surface, and a third specular layer is disposed on a lower region of the second lateral surface that is proximate to the lower surface and on an upper region of the second lateral surface that is proximate to the upper surface; wherein said specular layers are configured to reflect light off one or more interior surfaces prior to exiting the optical device and the lateral surfaces (206A, 206B) are also configured to reflect light via total internal reflection; wherein a diffuse layer is disposed between the lower region and the upper region to cause diffuse light to be emitted at a plurality of different angles when exiting the optical device; wherein the optical device extends along a length that is greater than the width and the height of the optical device; wherein the upper surface of the optical device includes a concave polyhedron; and wherein the body of the optical device includes a substantially transparent material. a lower surface that is substantially transparent and said LED assembly being disposed proximate to the lower surface, wherein said lower surface comprising lower surfaces (202A, 202B, 202C); an upper surface disposed opposite the lower surface and having a first specular layer disposed thereon arranged for reflecting light passing through the lower surface from said LED assembly; and a first lateral surface extending between the lower surface and the upper surface and having a second specular layer disposed on at least a portion thereof, wherein the second specular layer is disposed on a lower region of the first lateral surface that is proximate to the lower surface, said second specular layer being arranged to generate mixed light; and said optical device being arranged to pass said mixed light through the first lateral surface; and wherein the upper surface comprises a first planar surface and a second planar surface, the first planar surface forms a first acute angle with the first lateral surface, and the second planar surface forms a second acute angle with a second lateral surface that extends between the lower surface and the upper surface; and wherein the second specular layer is disposed on a lower region of the first lateral surface that is proximate to the lower surface and on an upper region of the first lateral surface that is proximate to the upper surface, and a third specular layer is disposed on a lower region of the second lateral surface that is proximate to the lower surface and on an upper region of the second lateral surface that is proximate to the upper surface; wherein said specular layers are configured to reflect light off one or more interior surfaces prior to exiting the optical device and the lateral surfaces (206A, 206B) are also configured to reflect light via total internal reflection; wherein a diffuse layer is disposed between the lower region and the upper region to cause diffuse light to be emitted at a plurality of different angles when exiting the optical device; wherein the optical device extends along a length that is greater than the width and the height of the optical device; wherein the upper surface of the optical device includes a concave polyhedron; and wherein the body of the optical device includes a substantially transparent material.