Radially magnetized cylindrical magnet

Claim 2

A permanent magnet assembly for providing a region of substantially uniform flux density, said assembly comprising: a plurality of permanent magnet segments of substantially constant magnetizing force M r circumferentially enclosing a bore with a central longitudinal axis, said bore including said region, and each of said magnet segments being magnetized in a direction substantially normal to the portion of said bore enclosed by each respective magnet segment; and a flux return path radially enclosing said permanent magnet segments.

Claim 3

The assembly of claim 1 wherein said bore has a constant radius r i (θ) from said longitudinal axis where θ is an angle measured from a radial reference line, said magnet segments occupying a first area between said bore and a first curve defined in each cross-section of said assembly through said region by a first vector r o (θ) extending from said longitudinal axis, the magnitude of r o (θ) being r i (θ)/(1-|(B y /M r ) sin θ|), and wherein each of said magnet segments is magnetized inwardly toward said bore in the portion of said first area defined for θ between 0 and π and outwardly from said bore in the portion of said first area defined for θ between π and 2π.

Claim 4

The assembly of claim 2 wherein said flux return path carries a flux density B r and occupies at least a second area between said first area and a second curve defined in each cross-section of said assembly through said region by a second vector R o (θ) extending from said longitudinal axis, the magnitude of R o (θ) being r o (θ)+|(B y /B r ) cos θ|r o (θ).

Claim 5

The assembly of claim 1 wherein said bore has an elliptical radius r i (θ) from said longitudinal axis where θ is an angle measured from a radial reference line and where r i (θ)=((a·sin θ) 2 +(b·cos θ) 2 ) 1/2 , a being the semi-minor axis and b being the semi-major axis of said bore, said magnet segments occupying a first area between said bore and a first curve defined in each cross-section of said assembly through said region by a first vector r o (θ) extending from said longitudinal axis, the magnitude of r o (θ) being r i (θ)/(1-|(B y /M r )sin θ), and wherein each of said magnet segments is magnetized inwardly toward said bore in the portion of said first area defined for θ between 0 and π and outwardly from said bore in the portion of said first area defined for θ between π and 2π.

Claim 6

The assembly of claim 4 wherein said flux return path carries a flux density B r and occupies at least a second area between said first area and a second curve defined in each cross-section of said assembly through said region by a second vector R o (θ) extending from said longitudinal axis, the magnitude of R.sub.o (θ) being ((a·sin θ).sup.2 +(b(1+B.sub.y /B.sub.r)cos θ).sup.2).sup.1/2.

Claim 7

A permanent magnet assembly for providing a substantially uniform magnetic field of flux density B y in a substantially cylindrical region, said assembly comprising: a plurality of permanent magnet segments of substantially constant magnetizing force M r circumferentially enclosing a cylindrical bore of radius r i (θ) having a central longitudinal axis and θ being an angle measured from a radial reference line, said bore including said cylindrical region, said segments occupying a space, at least radially outward of said cylindrical region, defined as the area between r i (θ) and a curve r o (θ), where r o (θ)=r i (θ)/(1-|(B y /M r )sin θ|), each of said segments being substantially radially magnetized in one direction for θ between 0 and π and in the opposite direction for θ between π and 2π; and a flux return path of a magnetic material capable of carrying a maximum flux density B r , said return path being external of and adjacent to said space and having an outside surface of radius R o (θ) greater than or equal to r o (θ)+|(B y /B r )cos θ|r o (θ).

Claim 8

A permanent magnet assembly for providing a substantially uniform magnetic field of flux density B y in a substantially cylindrical region, said assembly comprising: a plurality of permanent magnet segments of substantially constant magnetizing force M r circumferentially enclosing a cylindrical bore of radius r i (θ) having a central longitudinal axis and θ being an angle measured from a radial reference line, said bore including said cylindrical region, said segments occupying a space, at least radially outward of said cylindrical region, defined as the area between r i (θ) and a curve r o (θ), where r o (θ)=r i (θ)/(1-|(B y /M r )sin θ|), each of said segments being substantially radially magnetized in one direction for θ between 0 and π and in the opposite direction for θ between π and 2π; and a flux return path of a magnetic material capable of carrying a maximum flux density B r , said return path being external of and adjacent to said space and having an outside surface of radius R o (θ) greater than or equal to r o (θ)+|(B y /B r )cos θ|r o (θ).

Claim 9

The permanent magnet assembly of claim 6 wherein the radial thickness of said space tapers toward zero at both longitudinal ends of said assembly proportionally for all values of θ.

Claim 10

The permanent magnet assembly of claim 7 wherein the radial thickness of said space is increased proportionally for all values of θ between that part of said space which is radially outward of said cylindrical region and each of said longitudinal ends, whereby a pair of bulges are formed in said space adjacent each of the tapered ends.

Claim 11

The permanent magnet assembly of claim 6 wherein said magnetic material in said flux return path comprises iron.

Claim 12

A permanent magnet assembly for providing a substantially uniform magnetic field of flux density B y in a substantially elliptical region, said assembly comprising: a plurality of permanent magnet segments of substantially constant magnetizing force M r circumferentially enclosing an elliptical bore of radius r i (θ) having a longitudinal axis, said bore having a semi-minor axis a and a semi-major axis b, and θ being an angle measured from a radial reference line, said bore including said elliptical region, said segments occupying a space, at least radially outward of said elliptical region, defined as the area between r i (θ) and a curve r o (θ), where r i (θ)=((a·sin θ) 2 +(b·cos θ) 2 ) 1/2 and r o (θ)=r i (θ)/(1-|(B y /M r )sin θ|), each of said segments being magnetized substantially normal to said elliptical bore and in one direction for θ between 0 and π and in the opposite direction for θ between π and 2π; and a flux return path of a magnetic material capable of carrying a maximum flux density B r , said return path being external of and adjacent to said space and having an outside surface of radius R o (θ) greater than or equal to ((a·sin θ) 2 +(b(1+B y /B r ) cos θ) 2 ) 1/2 .

Claim 13

A permanent magnet assembly for providing a substantially uniform magnetic field of flux density B y in a substantially elliptical region, said assembly comprising: a plurality of permanent magnet segments of substantially constant magnetizing force M r circumferentially enclosing an elliptical bore of radius r i (θ) having a longitudinal axis, said bore having a semi-minor axis a and a semi-major axis b, and θ being an angle measured from a radial reference line, said bore including said elliptical region, said segments occupying a space, at least radially outward of said elliptical region, defined as the area between r i (θ) and a curve r o (θ), where r i (θ)=((a·sin θ) 2 +(b·cos θ) 2 ) 1/2 and r o (θ)=r i (θ)/(1-|(B y /M r )sin θ|), each of said segments being magnetized substantially normal to said elliptical bore and in one direction for θ between 0 and π and in the opposite direction for θ between π and 2π; and a flux return path of a magnetic material capable of carrying a maximum flux density B r , said return path being external of and adjacent to said space and having an outside surface of radius R o (θ) greater than or equal to ((a·sin θ) 2 +(b(1+B y /B r ) cos θ) 2 ) 1/2 .

Claim 14

The permanent magnet assembly of claim 10 wherein the radial thickness of said space tapers toward zero at both longitudinal ends of said assembly proportionally for all values of θ.

Claim 15

The permanent magnet assembly of claim 11 wherein the radial thickness of said space is increased proportionally for all values of θ between that part of said space which is radially outward of said elliptical region and each of said longitudinal ends, whereby a pair of bulges are formed in said space adjacent each of the tapered ends.

Claim 16

The permanent magnet assembly of claim 10 wherein said magnetic material in said flux return path comprises iron.