Abstract: A design method of LED freeform surface illumination system based on XY-polynomial obtains a plurality of data points of a freeform surface, wherein each data point includes a coordinate value Qi and a normal vector Ni. A sum of squares e1(P) of coordinate differences in z direction between the coordinate value Qi and the freeform surface is applied, and by a sum of squares e2(P) between the normal vector Ni of the data points and normal vector ni of the freeform surface a modulus of vector differences is acquired. An evaluation function ƒ(p)=e1(P)+we2(P) is proposed and a plurality of freeform surface shapes obtained by selecting different weightings. The freeform surface shape which has the best imaging quality is achieved as a final shape, and a freeform surface lens based on the final shape is constructed to establish an LED freeform surface illumination system.

Abstract: A design method of LED freeform surface illumination system is provided. A light emitting angle of a LED point light source is divided into three regions. Each region can form a rectangular light spot on a light receiving surface. A mapping relationship of each region on the receiving surface is obtained. A light redistribution design for the LED point light source is performed and a system of first order partial differential equations of a freeform surface is achieved. A system of first order quasi linear differential equations of the freeform surface is obtained. A plurality of freeform surface data is obtained by solving the system of first order quasi linear differential equations. The freeform surface is obtained by surface fitting the plurality of freeform surface data.

Abstract: A LED freeform surface illumination system is provided. The LED freeform surface illumination system includes a LED point light source, a freeform surface lens, and a light receiving surface. A light emitting angle ? of the LED point light source is divided into three regions. The freeform surface lens includes a spherical surface and a freeform surface opposite to the spherical surface. The freeform surface comprises three annular regions. Each region of the three regions of the light emitting angle ? of the LED point light source corresponds with one annular region of the freeform surface. Lights of each region of the three regions of the light emitting angle ? of the LED point light source pass the corresponded annular region of the freeform surface to form one rectangular light spot.

Abstract: A LED optical communication receiving lens includes a first surface and a second surface opposite to the first surface. The first surface includes a first spherical surface and a second spherical surface connected to the first spherical surface. The second surface includes a third spherical surface and a planar surface connected to the third spherical surface. A position of the LED optical communication receiving lens is defined as a three-dimensional Cartesian coordinate system (x, y, z). Sphere centers and symmetric central points of the first spherical surface, the second spherical surface, and the third spherical surface are located on the x axis. The first spherical surface and the planar surface are transmitted surfaces. The second spherical surface and the third spherical surface are reflective surfaces. The present application also relates to a LED optical communication system including the LED optical communication receiving lens.

Abstract: A LED optical communication receiving lens includes a first surface and a second surface opposite to the first surface. The first surface includes a first spherical surface and a second spherical surface connected to the first spherical surface. The second surface includes a third spherical surface and a planar surface connected to the third spherical surface. A position of the LED optical communication receiving lens is defined as a three-dimensional Cartesian coordinate system (x, y, z). Sphere centers and symmetric central points of the first spherical surface, the second spherical surface, and the third spherical surface are located on the x axis. The first spherical surface and the planar surface are transmitted surfaces. The second spherical surface and the third spherical surface are reflective surfaces. The present application also relates to a LED optical communication system including the LED optical communication receiving lens.

Abstract: A design method of LED freeform surface illumination system based on XY-polynomial obtains a plurality of data points of a freeform surface, wherein each data point includes a coordinate value Qi and a normal vector Ni. A sum of squares e1(P) of coordinate differences in z direction between the coordinate value Qi and the freeform surface is applied, and by a sum of squares e2(P) between the normal vector Ni of the data points and normal vector ni of the freeform surface a modulus of vector differences is acquired. An evaluation function ƒ(p)=e1(P)+we2(P) is proposed and a plurality of freeform surface shapes obtained by selecting different weightings. The freeform surface shape which has the best imaging quality is achieved as a final shape, and a freeform surface lens based on the final shape is constructed to establish an LED freeform surface illumination system.

Abstract: A LED freeform surface illumination system is provided. The LED freeform surface illumination system includes a LED point light source, a freeform surface lens, and a light receiving surface. A light emitting angle ? of the LED point light source is divided into three regions. The freeform surface lens includes a spherical surface and a freeform surface opposite to the spherical surface. The freeform surface comprises three annular regions. Each region of the three regions of the light emitting angle ? of the LED point light source corresponds with one annular region of the freeform surface. Lights of each region of the three regions of the light emitting angle ? of the LED point light source pass the corresponded annular region of the freeform surface to form one rectangular light spot.

Abstract: A design method of LED freeform surface illumination system is provided. A light emitting angle of a LED point light source is divided into three regions. Each region can form a rectangular light spot on a light receiving surface. A mapping relationship of each region on the receiving surface is obtained. A light redistribution design for the LED point light source is performed and a system of first order partial differential equations of a freeform surface is achieved. A system of first order quasi linear differential equations of the freeform surface is obtained. A plurality of freeform surface data is obtained by solving the system of first order quasi linear differential equations. The freeform surface is obtained by surface fitting the plurality of freeform surface data.