Method for coding field emission structures using a coding combination
An improved field emission system and method is provided that involves field emission structures having electric or magnetic field sources. The magnitudes, polarities, and positions of the magnetic or electric field sources are configured to have desirable correlation properties, which may be in accordance with a code. The correlation properties correspond to a desired spatial force function where spatial forces between field emission structures correspond to relative alignment, separation distance, and the spatial force function.
1. A field emission system, comprising:
a first field emission structure, said first field emission structure comprising a first plurality of field emission sources having positions and polarities in accordance with a spatial force function, said positions and polarities of said first plurality of field emission sources being in accordance with a first plurality of codes; and
a second field emission structure, said second field emission structure comprising a second plurality of field emission sources having positions and polarities in accordance with said spatial force function, said positions and polarities of said second plurality of field emission sources being in accordance with a second plurality of codes.
2. The system of claim 1 , wherein said positions of said first plurality of field emission sources are in accordance with a first code.
3. The system of claim 2 , wherein said first code corresponds to a Costas array.
4. The system of claim 3 , wherein said Costas array corresponds to one of a Welch-Costas array or an array generated using the Lempel-Golomb technique.
5. The system of claim 3 , wherein said Costas array is flipped vertically.
6. The system of claim 3 , wherein said Costas array is flipped horizontally.
7. The system of claim 3 , wherein rows and columns of said Costas array are transposed.
8. The system of claim 2 , wherein said positions of said second plurality of field emission sources are in accordance with said first code.
9. The system of claim 2 , wherein said polarities of said first plurality of field emission sources are in accordance with a second code.
10. The system of claim 9 , where said second code is one of a Barker code, a Gold code, a Kasami sequence, a hyperbolic congruential code, a quadratic congruential code, a linear congruential code, a pseudorandom code, or a chaotic code.
11. The system of claim 1 , wherein said polarities of said second plurality of field emission sources are in accordance with said second code.
12. The system of claim 1 , wherein at least some of said polarities of said second plurality of field emission sources are different than said polarities of said first plurality of field emission sources.
13. The system of claim 1 , wherein said first field emission structure is complementary to said second field emission structure.
14. The system of claim 1 , wherein at least one of said first field emission structure or said second field emission structure comprises a permanent magnet, an electromagnet, an electret, a magnetized ferromagnetic material, a portion of a magnetized ferromagnetic material, a soft magnetic material, or a superconductive magnetic material.
15. The system of claim 1 , wherein said spatial force function comprises a peak attractive force.
16. The system of claim 1 , wherein said spatial force function comprises a peak repellant force.
17. A field emission system, comprising:
a first field emission structure having a first plurality of field emission sources having positions and polarities in accordance with a first plurality of codes; and
a second field emission structure having a second plurality of field emission sources having positions and polarities in accordance with a second plurality of codes, said first plurality of field emission sources and second plurality of field emission sources having positions and polarities in accordance with a desired spatial force function.
18. The system of claim 17 , wherein said positions of said first plurality of field emission sources are in accordance with a first code.
19. The system of claim 18 , wherein said polarities of said first plurality of field emission sources are in accordance with a second code.
20. The system of claim 17 , wherein said first field emission structure is complementary to said second field emission structure.