Patent ID: 7839247

Claim:
A magnetic field force generator having a predefined force profile comprising: a first magnet structure comprising a first plurality of magnets arranged according to a first pattern; and a complementary magnet structure comprising a complementary plurality of magnets complementary to said first magnet structure; said first pattern based on a variable code having an autocorrelation function with a single maximum peak per code modulo; said first magnet structure and said complementary magnet structure having an operational range of relative position; wherein magnetic force between said first magnet structure and said complementary magnet structure as a function of position within said operational range corresponds to said autocorrelation function, wherein said first plurality of magnets arranged according to said first pattern comprises a magnet pattern of nine component magnets at relative coordinates of +1(0,0), −1(0,1), +1(0,2), −1(1,0.5), +1(1,1.5), −1(1,2.5), +1(2,0), −1(2,1), +1(2,2), or said magnet pattern reflected about the x axis, or said magnet pattern reflected about the y axis, or said magnet pattern with the x and y axes transposed, where within the notation s(x,y), “s” indicates the respective component magnet strength and polarity and “(x,y)” indicates x and y coordinates of a center of the respective component magnet relative to a reference position (0,0).