An asymmetrical linear lens directing light at a limited solid angle includes a first solid profile section being a right trapezoid having a short and longer base side and two side legs. A second solid profile section is a non-right trapezoid having a short and longer base side and two side legs. The longer base side of the first solid profile section and the shorter base side of the second solid profile section coincide. One of the two side legs of the first solid profile section and one of the two side legs of the second solid profile section lie on a straight line enclosing a first angle with the longer base side of the second solid profile section. The other side leg of the second solid profile section is angled outward in relation to the other side leg of the first solid profile section by a second angle.