Headlamp for vehicles

A headlamp for a vehicle comprising:

• a plurality of semiconductor-based light sources arranged on a substrate;
• an optical unit having at least one lens with a lens face for the generation of a given light distribution,
• wherein the lens surface is calculated by means of a lens equation, which is formed by means of a conic section equation completed by a deformation parameter, so that the lens face is determined with a deviation from a conic section shape,
• wherein a first deformation parameter for the change of the lens face is provided according to various shape change degrees in the direction of the optical axis and vertically relative to an optical axis, and
• that a second deformation parameter for the change of the lens face is provided according to identical shape change degrees in the direction of the optical axis and vertically to the optical axis, and
• wherein the first deformation parameter and a coordinate along which an optical axis of the lens runs, form a product in the lens equation, and that the second deformation parameter forms one of several summands of the lens equation being present in an implicit form.

A headlamp for a vehicle comprising:

• a plurality of semiconductor-based light sources arranged on a substrate;
• an optical unit having at least one lens with a lens face for the generation of a given light distribution,
• wherein the lens surface can be calculated by means of a lens equation, which is formed by means of a conic section equation completed by a deformation parameter, so that the lens face is determined with a deviation from a conic section shape,
• wherein a first deformation parameter for the change of the lens face is provided according to various shape change degrees in the direction of the optical axis and vertically relative to the optical axis on one hand, and
• that a second deformation parameter for the change of the lens face is provided according to identical shape change degrees in the direction of the optical axis and vertically to the optical axis on the other hand, and
• wherein the lens equation is described by the following term:
• k
• R
• ⁢
• z
• 2
• -
• 2
• ⁢
• ⁢
• z
• ⁡
• [
• 1
• +
• U
• ⁡
• (
• r
• →
• )
• ]
• +
• 1
• R
• ⁢
• r
• →
• 2
• +
• V
• ⁡
• (
• r
• →
• )
• =
• 0
• wherein k is a conical constant, R is a curvature radius of the lens face, {right arrow over (r)} and is a position vector is space.