A surface light source device including a light source unit having a plurality of light-emitting sources in a two-dimensional direction, and a lenticular lens sheet having a plurality of unit lenses, each of which is a part of a substantially elliptic cylinder, such that lens surfaces of the unit le
A surface light source device including a light source unit having a plurality of light-emitting sources in a two-dimensional direction, and a lenticular lens sheet having a plurality of unit lenses, each of which is a part of a substantially elliptic cylinder, such that lens surfaces of the unit lenses face a light emergent side. There is a particular relationship between an interval at which the light-emitting sources are arranged in the same direction as an arrangement direction of the unit lenses, an interval between the light emitting sources and a rear surface of the lenticular lens sheet, a unit-lens end-portion angle, and the refractive index of the material of the lens sheet.
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1. A surface light source device comprising: a light source unit structured by arranging a plurality of light-emitting sources that are substantially point light sources in a two-dimensional direction; anda lenticular lens sheet structured by arranging a plurality of unit lenses of one type or of va
1. A surface light source device comprising: a light source unit structured by arranging a plurality of light-emitting sources that are substantially point light sources in a two-dimensional direction; anda lenticular lens sheet structured by arranging a plurality of unit lenses of one type or of various types, each of which is a part of a substantially elliptic cylinder, such that lens surfaces of the unit lenses face a light emergent side, wherein adjacent unit lenses are separated by flat troughs;wherein, when an interval at which the light-emitting sources are arranged in the same direction as an arrangement direction of the unit lenses of the lenticular lens sheet is defined as L, an interval between the light emitting sources and a rear surface of the lenticular lens sheet is defined as d, a unit-lens end-portion angle, which is an angle between (i) a tangent line that intersects a boundary between the unit lens and an adjacent flat trough and extends along a portion of the lens surface of the unit lens and (ii) a normal line of the lenticular lens sheet that intersects said tangent line, is defined as θ, a refractive index of a material forming the unit lenses of the lenticular lens sheet is defined as n, and a refractive angle at which a light ray emitted from a light-emitting source is refracted by a rear surface of the lenticular lens sheet, relative to a line normal to the rear surface of the lenticular lens sheet is defined as φ,and wherein relationships of: cos−1(n×cos(φ+θ))≦θ; andφ=sin−1(sin(tan−1(L/2d))/n); orrelationships of:n×cos(φ+θ)>1; andφ=sin−1(sin(tan−1(L/2d))/n); are satisfied. 2. The surface light source device according to claim 1, further comprising a second lenticular lens sheet structured by arranging a plurality of unit lenses of one type or of various types, each of which is a part of a substantially elliptic cylinder, such that convex surfaces of the unit lenses face the light emergent side, wherein adjacent unit lenses are separated by flat troughs, wherein the second lenticular lens sheet is disposed on the lenticular lens sheet in a stacking manner,an arrangement direction in which the unit lenses of the second lenticular lens sheet are arranged is perpendicular to the arrangement direction in which the unit lenses of the lenticular lens sheet are arranged, andwhen an interval at which the light-emitting sources are arranged in the same direction as the arrangement direction of the unit lenses of the second lenticular lens sheet is defined as L′, an interval between the light emitting sources and a rear surface of the second lenticular lens sheet is defined as d′, a unit-lens end-portion angle that is an angle between (i) a tangent line that intersects a boundary between the unit lens and an adjacent flat trough and extends along a portion of the lens surface of the unit lens and (ii) a normal line of the second lenticular lens sheet that intersects said tangent line, is defined as θ′, a refractive index of a material forming the unit lenses of the second lenticular lens sheet is defined as n′, and a refractive angle at which the light ray emitted from the light-emitting source is refracted by a rear surface of the second lenticular lens sheet, relative to a line normal to the rear surface of the second lenticular lens sheet is defined as φ′,and wherein relationships of: cos−1(n′×cos(φ′+θ′))≦θ′; andφ′=sin−1(sin(tan−1(L′/2d′))/n′); orrelationships of:n′×cos(φ′+θ′)>1; andφ′=sin−1(sin(tan−1(L′/2d′))/n′); are satisfied. 3. The surface light source device according to claim 1, wherein the light source unit is structured by arranging a plurality of light-emitting sources of various types, which are substantially point light sources of different luminescent colors, in a two-dimensional direction in a predetermined order, andwhen a largest interval out of intervals at which the light-emitting sources of the same type are arranged, in the same direction as the arrangement direction of the unit lenses of the lenticular lens sheet is defined as Lc,and wherein relationships of: cos−1(n×cos(φ+θ))≦θ; andφ=sin−1(sin(tan−1(Lc/2d))/n); orrelationships of:n×cos(φ+θ)>1; andφ=sin−1(sin(tan−1(Lc/2d))/n); are satisfied. 4. The surface light source device according to claim 1, wherein the light-emitting sources are light-emitting diodes. 5. The surface light source device according to claim 1, wherein a reflective layer having a diffusion function is formed in the light source unit at least at a position of the intervals between the light-emitting sources. 6. The surface light source device according to claim 1, wherein a reflectivity with respect to light vertically incident on the lenticular lens sheet is not less than 40%. 7. The surface light source device according to claim 1, wherein particles having a reflection effect is added to the lenticular lens sheet. 8. The surface light source device according to claim 1, wherein the lens surface of the lenticular lens sheet is covered with particles having a reflection effect.
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