An asymmetric illumination lens, comprising: an inner surface and an outer surface, wherein the outer surface is defined by an X-axis, a Y-axis and a positive Z-axis according to a right-handed Cartesian coordinate system, wherein the X-axis and the Y-axis defines varying outer closed curves in (X,Y)-planes along the positive Z-axis, wherein at least one of said closed curves is defined by: - a critical point on the at least one closed curved having an X-value and a Y-value, defined as (Xc,Yc), - a first point on the at least one closed curve having an X-value and a Y-value, defined as (X1,Y1), the first point having a first tangent parallel to the X-axis and/or a line intersecting the first point and being parallel to the first X-axis, Y1 having a lower value than Yc; - a second point on the at least one closed curve having an X-value and a Y-value, defined as (X2,Y2), the second point having a second tangent parallel to the X-axis, Y2 having a higher value than Yc, and X2 having a value lower than Xc, such that a first line between the critical point and the second point has a negative slope; and - a third point on the at least one closed curve having an X-value and a Y-value, defined as (X3,Y3), the third point having a third tangent parallel to the X-axis, Y3 having a higher value than Yc, and X3 having a value larger than Xc, such that a second line between the critical point and the third point has a positive slope, characterized in that ∘ the first and second lines form an angle between said lines, the angle being less than 150 degrees, and/or ∘ an intersection line being parallel to the X-axis and through the critical point, splits the total area of the closed outer curve into three sub-areas: a first sub-area below the intersection line, a second sub-area and a third sub-area above the intersection line, such that the second sub-area and the third sub-area together define more than 5 percent of the total area. - a critical point on the at least one closed curved having an X-value and a Y-value, defined as (Xc,Yc), - a first point on the at least one closed curve having an X-value and a Y-value, defined as (X1,Y1), the first point having a first tangent parallel to the X-axis and/or a line intersecting the first point and being parallel to the first X-axis, Y1 having a lower value than Yc; - a second point on the at least one closed curve having an X-value and a Y-value, defined as (X2,Y2), the second point having a second tangent parallel to the X-axis, Y2 having a higher value than Yc, and X2 having a value lower than Xc, such that a first line between the critical point and the second point has a negative slope; and - a third point on the at least one closed curve having an X-value and a Y-value, defined as (X3,Y3), the third point having a third tangent parallel to the X-axis, Y3 having a higher value than Yc, and X3 having a value larger than Xc, such that a second line between the critical point and the third point has a positive slope, characterized in that ∘ the first and second lines form an angle between said lines, the angle being less than 150 degrees, and/or ∘ an intersection line being parallel to the X-axis and through the critical point, splits the total area of the closed outer curve into three sub-areas: a first sub-area below the intersection line, a second sub-area and a third sub-area above the intersection line, such that the second sub-area and the third sub-area together define more than 5 percent of the total area. ∘ the first and second lines form an angle between said lines, the angle being less than 150 degrees, and/or ∘ an intersection line being parallel to the X-axis and through the critical point, splits the total area of the closed outer curve into three sub-areas: a first sub-area below the intersection line, a second sub-area and a third sub-area above the intersection line, such that the second sub-area and the third sub-area together define more than 5 percent of the total area.