Positioning device for determining the position of a tool slide of a machine tool

1. An object, comprising:

a substrate with a top surface, a longitudinal direction and a transverse direction, wherein the longitudinal direction is longer than the transverse direction, wherein the top surface is planar, wherein the substrate is aluminum, and wherein the substrate is nonmagnetic; and

a scale that includes first regions having a printing medium on the top surface of the substrate and second regions of the top surface of the substrate having no printing medium, wherein the first regions are spaced apart in the longitudinal direction over the top surface, wherein the printing medium includes magnetic particles, wherein no magnetic particles are present in the second regions, wherein each of the first regions has an interior and edges, wherein the printing medium is thinner in the interior of the first regions and is thicker at the edges of the first regions, and wherein when an external magnetic field is applied to the object or when a magnetic field emanating from the magnetic particles is read, a stronger magnetic field emanates from the printing medium than from the substrate.

2. The object of claim 1 , wherein the object is a positioning device.

3. The object of claim 1 , wherein the first regions are rectangular and elongated in the transverse direction.

4. A positioning device, comprising:

a substrate with a top surface, a longitudinal direction and a transverse direction, wherein the longitudinal direction is longer than the transverse direction, wherein the top surface is planar, and wherein the substrate is nonmagnetic; and

a scale that includes first regions having a printing medium on the top surface of the substrate and second regions of the top surface of the substrate having no printing medium, wherein the first regions are spaced apart in the longitudinal direction over the top surface, wherein the printing medium includes magnetic particles, wherein the printing medium is thinner in an interior and thicker at edges of each of the first regions, and wherein no magnetic particles are present in the second regions.

5. The positioning device of claim 4 , wherein the printing medium is applied to the top surface by a printing process selected from the group consisting of: offset printing, laser printing and inkjet printing.

6. A positioning device, comprising:

a substrate with a top surface, a longitudinal direction and a transverse direction, wherein the longitudinal direction is longer than the transverse direction, wherein the top surface is planar, and wherein the substrate is nonmagnetic; and

a scale that includes first regions having a printing medium on the top surface of the substrate and second regions of the top surface of the substrate having no printing medium, wherein the first regions are spaced apart in the longitudinal direction over the top surface, wherein the printing medium includes magnetic particles, wherein no magnetic particles are present in the second regions, and wherein at least two of the first regions have lengths in the transverse direction that are not equal.

7. A positioning device, comprising:

a substrate with a top surface, a longitudinal direction and a transverse direction, wherein the longitudinal direction is longer than the transverse direction, and wherein the substrate is nonmagnetic; and

a scale that includes first regions having a printing medium on the top surface of the substrate and second regions of the top surface of the substrate having no printing medium, wherein the first regions are spaced apart in the longitudinal direction over the top surface, wherein the printing medium includes magnetic particles, wherein each of the first regions has an interior and edges, and wherein the printing medium is printed within the first regions on the top surface of the substrate such that the printing medium is thinner in the interior of the first regions and is thicker at the edges of the first regions.

8. The positioning device of claim 4 , wherein the printing medium is adapted to produce a stronger magnetic field from the first regions than from the second regions when a measuring external magnetic field is applied to the positioning device.

9. The positioning device of claim 4 , wherein the first regions form a plurality of scale marks that are distributed over the top surface of the substrate at a spacing that is quadratic or logarithmic.

10. The positioning device of claim 4 , wherein the first regions form a plurality of scale marks, and wherein each of the plurality of scale marks has a common width that is 10 μm to 100 μm.

11. The positioning device of claim 4 , wherein the first regions form a plurality of characters, and wherein the plurality of characters are letters or numbers.

12. The positioning device of claim 4 , wherein the printing medium includes the magnetic particles in a concentration of 40% to 70% by volume.

13. The positioning device of claim 4 , wherein the magnetic particles have an average longest dimension that is less than 2 μm.

14. The positioning device of claim 4 , wherein the printing medium includes a dye that imparts a color to the printing medium that can be optically read.

15. The positioning device of claim 4 , wherein the substrate is aluminum.

16. A method comprising:

depositing a printing medium within first regions that are spaced apart across a longitudinal dimension over a top surface of a substrate, wherein the longitudinal dimension is longer than a transverse dimension of the substrate, wherein no printing medium is deposited in second regions on the top surface of the substrate that are disposed between the first regions, wherein each of the first regions has an interior and edges, and wherein the printing medium is deposited such that the printing medium is thinner in the interior of the first regions and is thicker at the edges of the first regions; and

magnetizing the printing medium after the depositing of the printing medium, wherein the printing medium includes magnetizable particles, and wherein the printing medium is magnetized such that when a measuring external magnetic field is applied over the substrate, a stronger magnetic field can be detected emanating from the first regions than from the second regions.

17. The method of claim 16 , wherein the printing medium is sufficiently thinner in the interior of the first regions than at the edges of the first regions such that the magnetic field emanating from the first regions has a gradient at the edges of the first regions that is measurably greater than the gradient at the edges of the first regions had the printing medium been deposited within the first regions at a uniform thickness.

18. The method of claim 16 , wherein the printing medium is deposited within the first regions by offset printing, laser printing or inkjet printing.

19. The method of claim 16 , wherein the first regions form a plurality of scale marks that are distributed over the top surface of the substrate in a pattern with a linear, quadratic or logarithmic spacing.

20. The method of claim 16 , wherein the printing medium is magnetized by applying a magnetizing external magnetic field to the printing medium deposited on the top surface of the substrate.

21. The method of claim 16 , wherein the stronger magnetic field is detected emanating from the first regions using a magnetoresistance effect taken from the group consisting of: an anisotropic magnetoresistance effect, a giant magnetoresistance effect, a magnetic tunnel resistance effect and a Hall effect.