1. Field of the Invention
This invention relates generally to magneto-resistive sensor devices for detecting a magnetic field impinging upon the magneto-resistive sensor device. More particularly, this invention relates to magnetic field angle sensors for measurement of a magnetic field angle over a 360° range of measurement of a plane.
2. Description of Related Art
Magnetic position sensing is becoming a popular method of implementing a non-contacting location of objects in motion. By affixing a magnet or sensor element to an angular or linear moving object with its complementary sensor or magnet stationary, the relative direction of the resulting magnetic field can be quantified electronically. By utilizing multiple sensors or magnets, the capability of extended angular or linear position measurements can be enhanced. “Applications of Magnetic Position Sensors”, Honeywell Application Note-AN211, found www.ssec.honeywell.com/magnetic/datasheets/an211.pdf, Mar. 20, 2007 describes magnetic position sensing using Anisotropic Magneto-Resistive (AMR) sensors.
Further, AN211 describes the use of an anisotropic magneto-resistive material such as Permalloy to form four anisotropic magneto-resistive (AMR) elements 10a, 10b, 10c, and 10d that are connected as a Wheatstone bridge sensor 5, as shown in
The sensor is formed from the AMR elements 10a, 10b, 10c, and 10d, the four elements 10a, 10b, 10c, and 10d are oriented in a diamond shape with the ends connected together by metallization 12a, 12b, 12c, and 12d to form the Wheatstone bridge. The top and bottom connections of the four identical elements are connected Direct Current (DC) power supply voltage source (Vs) 15. The remaining two opposing side connection terminals 12cand 12d are the sense point of the measurement. With no magnetic field supplied (0 gauss), the side connection terminals 12cand 12d have an equal voltage level with the exception of a small offset voltage due to manufacturing tolerances on the AMR elements 10a, 10b, 10c, and 10d. The Wheatstone bridge connection structure 5 produces a differential voltage (ΔV) as a function of the supply voltage Vs. The ratio of the resistance of the AMR elements 10a, 10b, 10c, and 10d, and the angle (θ) between the element current flow (I) 20a, 20d, 20c, and 20d and element magnetization (M) 25a, 25d, 25c, and 25d
The AMR Wheatstone bridge 5 as constructed provides an angle measurement of ±45°. To provide measurement of from ±45° to ±90° requires two AMR Wheatstone sensors with 45° displacement from each other, the two linear slopes can be used additively.
A Hall Effect sensor 105 is similarly is placed on the shaft axis 130, just above the magnet 120, the magnetic flux 125 passing through the Hall Effect sensor 105 will similarly retain the orientation of the magnet 120. Most Hall Effect sensors use silicon semiconductor materials to create a proportional voltage output as a magnetic field vector 125 slices orthogonally through the slab material with a bias current flowing through it to generate a signed vector waveform 145 of
The sine 135 and cosine 140 waveforms from the AMR Wheatstone bridge sensors 100 and the signed vector waveform 145 from the Hall Effect sensor 105 are the input of the motor control unit. The characteristic of AMR effect of the AMR Wheatstone bridge sensors 100 is such that the resistance change is a function of cos2(θ), where θ is the angle between the magnetization and current flowing direction. As described above, one of the AMR Wheatstone bridge sensors 100 only detects 90-degree angle and two AMR Wheatstone bridge sensors 100 with 45-degrees orientation difference only allow a measurement of 180-degree angle. The signal output voltage 135 of the first of the AMR Wheatstone bridge sensors 100 is Va=Vs/2 dR/R sin(2θ), while signal output voltage 140 of the second of the AMR Wheatstone bridge sensors 100, which is orientated 45° differently from the first of the AMR Wheatstone bridge sensors 100, is Vb=Vs/2 dR/R cos(2θ). The magneto-resistive ratio of AMR film is dR/R. In another words, the measured angle is either the real magnetic field angle θ or its opposite direction θ+180°. In order to measure a full 360-degree angle, The signal output voltage of the Hall Effect sensor 105 provides the signal output voltage 145. The sign value of the signal output voltage 145 provides the indication of the quadrant that the magnetic field vector 125 is occupying. The motor controller calculates the angle θ as the arctangent function of the sine 135 and cosine 140 waveforms from the AMR Wheatstone bridge sensors 100 and with quadrant being determined by the signed vector waveform 145 from the Hall Effect sensor 105.
In order to achieve a full angle rotational sensor of high accuracy, one has to mechanically adjust the Hall Effect sensor 105 to ensure that the Hall Effect sensor 105 is nearly perfectly orientated with respect to the two AMR Wheatstone bridge sensors 100 so that the arctangent equation deriving the angle of the magnetic flux 125 arrives at the end positions just as the Hall Effect sensor 105 output achieves a zero volt output. This critical alignment is difficult to achieve and thus time consuming and costly.
“Angular Sensor Using Tunneling Magneto-resistive Junctions with an Artificial Antiferromagnet Reference Electrode and Improved Thermal Stability”, Ruhrig, et al., IEEE Transactions on Magnetics, January 2004 Volume: 40, Issue: 1, pp.: 101-104, describes fabrication of Magnetic tunneling junctions (MTJs) using CoFe—Ru—CoFe artificial antiferromagnet (AAF) sandwiches as a hard-magnetic reference layer and plasma-oxidized aluminum as a tunnel barrier. Tailoring the magnetic properties of the artificial antiferromagnet reference layer allows an on-chip magnetization (initialization) of individual junctions, which makes it possible to build monolithic Wheatstone without multiple mask process steps or on-chip heating elements.
“Exchange Anisotropy and Micromagnetic Properties of PtMn/NiFe Bilayers”, Pokhil, et al., Journal of Applied Physics, Jun. 1, 2001, Vol.: 89, Issue: 11, pp.: 6588-6590, describes the study of magnetic microstructure, exchange induced uniaxial and unidirectional anisotropy and structural transformation have in PtMn/NiFe bilayer films and small elements as a function of annealing time.
U.S. Pat. No. 7,054,114 (Jander, et al.) provides a ferromagnetic thin-film based magnetic field sensor with first and second sensitive direction sensing structures. The direction sensing structures each have a nonmagnetic intermediate layer with two major surfaces on opposite sides thereof having a magnetization reference layer on one and an anisotropic ferromagnetic material sensing layer on the other. The direction sensing structures have a length and a smaller width. The width is placed parallel to the relatively fixed magnetization direction. The relatively fixed magnetization direction of the magnetization reference layer in the direction sensing structures is oriented substantially parallel to the substrate but substantially perpendicular to that of the other direction sensing structures. An annealing process is used to form the desired magnetization directions.
“360° Angle Sensor Using Spin Valve Materials with SAF Structure’, Wang et al., IEEE Transactions on Magnetics, October 2005, Vol.: 41, Issue: 10, describes the design, fabrication, and test of microchips of 360° angle sensors using spin valve materials. A special Wheatstone-bridge with four spin valve resistors is used to compensate the thermal drift expected in application environments. One half bridge has a 90° phase delay from the other, resulting in a cosine and a sine function, in combination to uniquely determine any angular relationship between the permanent magnet and the sensor between 0 to 360°.
U.S. Pat. No. 5,796,249 (Andra, et al.) provides a magnetoresistive angular position sensor and rotation speed sensor that includes a permanent magnet rotatable about an axis of rotation and at least three Wheatstone bridges formed of magnetoresistive strip lines extending in planes parallel to a rotation plane of the permanent magnet.
U.S. Pat. No. 6,100,686 (Van Delden, et al.) teaches a magnetic field sensor with double Wheatstone bridges having magneto-resistive elements. The two bridges are identical except in that, if a given magneto-resistive element in a given branch in one bridge has a positive output polarity, then the corresponding magneto-resistive element in the same branch in the other bridge will have a negative output polarity. By adding the output signals of the two Wheatstone bridges a zero-point offset of the sensor can be determined and eliminated.
U.S. Pat. No. 6,633,462 (Adelerhof) describes a magnetoresistive angular sensor which determines a magnetic field direction. The magnetoresistive angular sensor has a main sensing element which is electrically connected to a two correction sensing elements, each with a reference magnetization axis. The reference magnetization axes make correction angles θ between 5° and 85° of opposite sign with the main reference axis.
U.S. Patent Application 2005/0140363 (Grimm, et al.) provides a magnetic sensor for detection of the orientation of a magnetic field. The magnetic sensor has at least two magnetoresistive elements that are non-parallel to provide determination of the direction of a magnetic field.
U.S. Patent Application 2006/0103381 (Schmollngruber, et al.) teaches a GMR sensor element having a rotationally symmetrical positioning of eight GMR resistor elements which are connected to each other to form two Wheatstone full bridges. This GMR sensor element is especially suitable for use in an angle sensor for the detection of the absolute position of the camshaft or the crankshaft in a motor vehicle.
U.S. Patent Application 2007/0035294 (Peczalski, et al.) describes an integrated Three-Dimensional Magnetic Sensing Device. The integrated three-dimensional magnetic device has a substrate with a surface area oriented to the top surface of the substrate and at least one sloped surface which is sloped with respect to the surface area parallel with the top surface of the substrate. Two magnetic sensing units are arranged on the top surface area to provide first and second orthogonal sensing directions, and a third magnetic sensing unit could be arranged on the sloped surface to provide sensing in at least a third sensing direction which is orthogonal to the first and second orthogonal sensing directions.
U.S. Patent Application 2007/0080683 (Bartos, et al.) illustrates a magnetoresistive sensor for determining an angle or a position. The magnetoresistive sensors use the AMR or the GMR effect and indicate the direction of the homogeneous magnetic field of a rotatable permanent magnet in the angle measurement or the position of the sensor with respect to a scale. The scale is magnetized periodically in an alternating direction, for the position measurement, and in which the angle or position value is obtained from the quotient of the output signals from two bridges or half bridges with the aid of arctan interpolation. This allows small measurement errors if the output signals have small harmonic components and hysteresis areas.
An object of this invention is to provide an integrated angular magnetic sensor apparatus for determining a magnetic field angle within two axes of a plane.
To accomplish at least this object, an integrated angular magnetic sensor apparatus has a substrate onto which two anisotropic magneto-resistive sensing elements and at least one magneto-resistive sensing element is fabricated. The two anisotropic magneto-resistive sensing elements are oriented with respect to each other such that an output voltage of a first of the anisotropic magneto-resistive sensing elements is a function of a first trigonometric function (a sine function) of the magnetic field angle to a reference axis and an output voltage of a second of the anisotropic magneto-resistive sensing elements is a function of a second trigonometric function (cosine function) of the magnetic field angle to the reference axis. The at least one magneto-resistive sensing element on the substrate and oriented with respect to the reference axis such that an output voltage of the at least one magneto-resistive sensing element provides a quadrant indicator for the magnetic field angle with respect to the reference axis. The quadrant indicator is a trigonometric function such as a sine or cosine function.
The integrated angular magnetic sensor apparatus has a magnetic field angle calculator connected to receive the output voltages of the two anisotropic magneto-resistive sensing elements and the output voltage of the at least one magneto-resistive sensing elements. The integrated angular magnetic sensor apparatus determine the magnetic field angle from the output voltages of the two anisotropic magneto-resistive sensing elements and the at least one magneto-resistive sensing element.
The each of the two anisotropic magneto-resistive sensing elements includes four anisotropic magneto-resistive material structures formed on the substrate and connected to form a Wheatstone bridge. One Wheatstone bridge of the two anisotropic magneto-resistive sensing elements is rotated by an orientation angle such that the second trigonometric function is the first trigonometric function shifted by the orientation angle. Each of the four anisotropic magneto-resistive material structures formed on the substrate is formed of a dielectric layer formed on the substrate. A seed layer is then deposited upon the dielectric layer; and a ferromagnetic film dielectric layer deposited on the dielectric layer. The seed layer is NiFeCr, NiCr, Ta, or an equivalent alloy. The ferromagnetic layer is a binary alloy or a ternary alloy of Ni, Fe, Co, or equivalent ferromagnetic materials.
The at least one magneto-resistive sensing element is either a giant-magneto-resistive structure or a magnetic tunnel junction structure. If the at least one magneto-resistive sensing element is a giant-magneto-resistive structure formed on the substrate, the at least one magneto-resistive sensing element includes a dielectric layer formed upon the substrate. An anti-ferromagnetic layer is then deposited upon the dielectric layer and a synthetic pinned layer is deposited upon the anti-ferromagnetic layer. A nonmagnetic conductive layer is deposited upon the synthetic pinned layer and a free layer is then deposited upon the conductive layer.
The anti-ferromagnetic layer is formed of binary alloys or tertiary alloys of Pt, Mn, Pd, or equivalent anti-ferromagnetic materials. The synthetic pinned layer has a first anti-parallel structure deposited upon the anti-ferromagnetic layer. A nonmagnetic space layer is then deposited upon the first anti-parallel structure with a second anti-parallel structure deposited upon the nonmagnetic space layer. The first and second anti-parallel structures are a binary alloys or ternary alloys of Ni, Fe, Co, B or equivalent ferromagnetic materials. The non-magnetic space layer is Ru or equivalent nonmagnetic material. The free layer is a binary alloy or ternary allow of Ni, Fe, Co, B, or equivalent ferromagnetic material.
The at least one magneto-resistive sensing element is patterned by a photo-mask into large rectangle-shaped giant-magneto-resistive stripes with a large aspect ratio and different orientations of long axes. The large rectangle-shaped giant-magneto-resistive stripes are then etched to define the at least one magneto-resistive sensing element. Local magnetic fields applied to the at least one magneto-resistive sensing element, which is then thermally annealed to obtain exchange pinning on reference layers with various predetermined directions for each of the giant-magneto-resistive stripes. The local magnetic fields are shape anisotropy fields, stress-induced magnetostrictive anisotropy fields, local hard bias fields, or local flux concentrating fields by adjacent soft magnetic layers.
If the at least one magneto-resistive sensing element is a magnetic tunnel junction structure, at least one magneto-resistive sensing element includes a conductive layer formed upon the substrate as a bottom electrode. An anti-ferromagnetic layer is then deposited upon the conductive layer with a synthetic pinned layer deposited upon the anti-ferromagnetic layer. A tunneling layer is deposited upon the synthetic pinned layer and a free layer deposited upon the tunneling layer, followed by patterning and deposition of a conductive top electrode.
The anti-ferromagnetic layer is a binary alloy or tertiary alloy of Pt, Mn, Pd, or equivalent anti-ferromagnetic materials. The synthetic pinned layer has a first anti-parallel structure deposited upon the anti-ferromagnetic layer with a nonmagnetic space layer deposited upon the first anti-parallel structure. A second anti-parallel structure is then deposited upon the nonmagnetic space layer. The first and second anti-parallel structures are ferromagnetic layers that are formed binary alloys or ternary alloys of Ni, Fe, Co, B or equivalent ferromagnetic materials. The non-magnetic space layer is Ru or equivalent nonmagnetic material. The free layer is a binary alloy or ternary allow of Ni, Fe, Co, B, or equivalent ferromagnetic material.
The at least one magneto-resistive sensing element is patterned by a photo-mask into large rectangle-shaped giant-magneto-resistive stripes with a large aspect ratio and different orientations of long axes. The large rectangle-shaped giant-magneto-resistive stripes are etched to define the at least one magneto-resistive sensing element. Local magnetic fields are applied to the at least one magneto-resistive sensing element, which is then thermally annealed to obtain exchange pinning on reference layers with various predetermined directions for each of the giant-magneto-resistive stripes. The local magnetic fields are shape anisotropy fields, stress-induced magnetostrictive anisotropy fields, local hard bias fields, or local flux concentrating fields by adjacent soft magnetic layers.
The magnetic field angle calculator circuit is connected to provide biasing voltages to the two anisotropic magneto-resistive sensing elements and the at least one magneto-resistive sensing element. The magnetic field angle calculator circuit is connected to receive a first output voltage and a second output voltage from the two anisotropic magneto-resistive sensing elements and at least a third output voltage from the at least one magneto-resistive sensing elements to determine a field angle of a magnetic field impinging upon the angular magnetic sensor.
Refer now to
The second of the two anisotropic magneto-resistive sensing elements 210 has four anisotropic magneto-resistive structures 211, 212, 213, and 214 that similarly are connected as a Wheatstone bridges. The first two anisotropic magneto-resistive structures 211 and 214 are oriented parallel to the reference axis 220 of the integrated magnetic field angle detection sensor 200. The other two anisotropic magneto-resistive structures 212 and 213, are oriented perpendicular to the reference axis 220 of the integrated magnetic field angle detection sensor 200. A power supply voltage source Vdd is connected to the junctions of the anisotropic magneto-resistive structure 211 and anisotropic magneto-resistive structure 212 and the ground reference point is connected to junction of the anisotropic magneto-resistive structures 213 and 214. The output voltage of the second of the two anisotropic magneto-resistive sensing elements 210 is the differential voltage ((V2+)−(V2−)) between the two junctions of the anisotropic magneto-resistive structures 211 and 213 and the anisotropic magneto-resistive structures 212 and 214. The resistance of the four anisotropic magneto-resistive structures 211, 212, 213, and 214 varies according to a second trigonometric function (cos(2θ)). Thus the output voltage Vout
As is known, the characteristic of the anisotropic magneto-resistive effect of the two anisotropic magneto-resistive sensing elements 205 and 210, the resistance of the anisotropic magneto-resistive structures 206, 207, 208, 209, 211, 212, 213 and 214 change is a function of cos2(θ), where θ is the angle between the magnetization 225 and current flowing direction. It is further known that one anisotropic magneto-resistive Wheatstone bridge only detects 90° angle and that two anisotropic magneto-resistive sensors (or two anisotropic magneto-resistive Wheatstone bridges) with 45° orientation difference only allow a measurement of 180° angle. As shown above the output voltage signal 205 is Vout
The each of the two anisotropic magneto-resistive sensing elements 205 and 210 have their respective four anisotropic magneto-resistive material structures 206, 207, 208, 209, 211, 212, 213 and 214 formed on the substrate and connected to form a Wheatstone bridge. The second Wheatstone bridge of the two anisotropic magneto-resistive sensing elements 210 is oriented parallel with the reference axis, as described above. The first Wheatstone bridge of the two anisotropic magneto-resistive sensing elements 205 is rotated by an orientation angle such that the second trigonometric function is the first trigonometric function shifted by the orientation angle. As described above, the first Wheatstone bridge is rotated by an angle of 45° such that the first trigonometric function is the sin(θ) and the second trigonometric function is the cosin(θ).
The power supply voltage source Vdd-1 is applied to the terminal 230 that is connected to the junction between the anisotropic magneto-resistive film structures 206 and 207. A ground reference voltage is applied to the terminal 260 that is connected to the junction between the anisotropic magneto-resistive film structures 208 and 209. The output voltage of the first of the two anisotropic magneto-resistive sensing elements 205 is developed between the terminal V1+ 235 and terminal V1− 240. As described above, this output voltage of the first of the two anisotropic magneto-resistive sensing elements 205 is the function: Vout
The power supply voltage source Vdd-2 is applied to the terminal 245 that is connected to the junction between the anisotropic magneto-resistive film structures 211 and 212. The ground reference voltage, as applied to the terminal 260, is connected to the junction between the anisotropic magneto-resistive film structures 213 and 214. The output voltage of the second of the two anisotropic magneto-resistive sensing elements 210 is developed between the terminal V2+ 250 and terminal V2− 255. As described above, this output voltage of the second of the two anisotropic magneto-resistive sensing elements 210 is the function: Vout
Integrated on the substrate with the two anisotropic magneto-resistive sensing elements 205 and 210 is the magneto-resistive sensor element 215 that has a giant magneto-resistive structure or a magnetic tunnel junction structure that is oriented to have a resistance that is proportional to sin(θ) of a magnetic field vector to the reference axis, as described above. A current is applied through the terminal 265 to the magneto-resistive sensor element 215 and the voltage output Vout
Referring to
The output voltage Vout
The output voltage 320 of the first amplifier 300 is proportional to output voltage Vout
It can be shown that the magnitude of the output voltage Vout
The output voltages of the two anisotropic magneto-resistive sensing elements 205 and 210 can be used to determine an angle (θ) very precisely if its quadrant is known. This is due to the fact that output voltages of the two anisotropic magneto-resistive sensing elements 205 and 210 have a period of 180° instead of 360°. Because of this, the first quadrant and third quadrant or the second quadrant and the fourth quadrant are indistinguishable. The output voltage Vout
As shown in the table of
Refer now to
As shown in
Referring now to
As described above, the output voltage 320 of the first amplifier 300 is proportional to output voltage Vout
It can be shown that the magnitude of the output voltage Vout
The output voltages of the two anisotropic magneto-resistive sensing elements 205 and 210 can be used to determine an angle (θ) very precisely if its quadrant is known. This is due to the fact that output voltages of the two anisotropic magneto-resistive sensing elements 205 and 210 have a period of 180° instead of 360°. Because of this, the first quadrant and third quadrant or the second quadrant and the fourth quadrant are indistinguishable. The output voltage Vout
As shown in the table of
Refer now to
Refer now to
A photo-mask of the four anisotropic magneto-resistive material structures 410 that is patterned (Box 545) into large rectangle-shaped anisotropic magneto-resistive material stripes. The four anisotropic magneto-resistive material structures 410 are then etched to define the four anisotropic magneto-resistive material structures 410. The electrodes for the four anisotropic magneto-resistive material structures 410 are deposited (Box 550) to connect the two anisotropic magneto-resistive sensing elements 410 two anisotropic magneto-resistive sensing elements 410 to form the Wheatstone bridges.
One or two magneto-resistive sensing elements 415 is formed (Box 520) on the substrate and is oriented (Box 525) with respect to the reference axis such that an output voltage of the magneto-resistive sensing elements 415 provide a quadrant indicator for the magnetic field angle with respect to the reference axis. The magneto-resistive sensing elements 415 are either giant-magneto-resistive structures or are magnetic tunnel junction structures.
Refer now to
A seed layer 440 is deposited (Box 610) upon said dielectric layer 420 or the bottom electrode material 435. This seed layer may be identical to the seed layer 425 of the anisotropic magneto-resistive material structure 410. An anti-ferromagnetic layer 445 is deposited (Box 615) upon the seed layer 425 with a synthetic pinned multilayer deposited (Box 620) on the anti-ferromagnetic layer 445. The anti-ferromagnetic layer formed of binary alloys or tertiary alloys of Pt, Mn, Pd, or equivalent anti-ferromagnetic materials. The synthetic pinned multilayer is formed by depositing a synthetic pinned layer 450 upon the anti-ferromagnetic layer 445. A conductive nonmagnetic spacer layer 455 is deposited upon the synthetic pinned layer 450. A second anti-parallel layer 460 is deposited upon the nonmagnetic space layer 455. The first and second anti-parallel structures are formed of a ferromagnetic layer that is a binary alloy or ternary alloy of Ni, Fe, Co, B or equivalent ferromagnetic material. The non-magnetic space layer 455 is Ru or equivalent nonmagnetic material.
If the magneto-resistive sensing element 415 is the giant-magneto-resistive structure, a non-magnetic metal layer 465 is deposited (Box 625) on the second anti-parallel layer 460. Alternately, if the magneto-resistive sensing element 415 is a magnetic tunnel junction structure a tunnel barrier layer 470 is deposited (Box 630) on the second anti-parallel layer 460. A free layer 475 is deposited (Box 635) upon either the non-magnetic metal layer 465 or the magnetic tunnel junction 470. The free layer 475 is a ferromagnetic material that is a binary alloy or ternary allow of Ni, Fe, Co, B, or equivalent ferromagnetic material. A capping layer is deposited (Box 640) on the free layer 475.
The magneto-resistive sensing elements 415 are exposed (Box 645) to a first thermal anneal. A photo-mask of the magneto-resistive sensing element 415 to pattern (Box 650) the magneto-resistive sensing elements 415 into large rectangle-shaped giant-magneto-resistive stripes with a large aspect ratio and different orientations of long axes or into magnetic tunnel junction structures. The patterned elements are then etched to complete the patterning (Box 650) of the magneto-resistive sensing element 415. The patterning (Box 650) of the magneto-resistive sensing element 415 may be identical to the patterning (Box 545) of the anisotropic magneto-resistive material structures 410 as described in
Dielectric material is refilled (Box 655) to cover the magneto-resistive sensing element 415 and the surface is chemical-mechanical polished (Box 660). The top electrodes are deposited (Box 665) and patterned (Box 670) to form the connections to connect the magneto-resistive sensing elements 415 to the magnetic field angle calculator circuit 405. Local magnetic fields are applied (Box 675) magneto-resistive sensing elements 415 for setting the field orientation of the reference layers of the first and second anti-parallel layer 450 and 460. The magneto-resistive sensing element 415 is thermally annealed (Box 80) to obtain exchange pinning on reference layers with various predetermined directions for each of the magneto-resistive sensing elements 415. The local magnetic fields are shape anisotropy fields, stress-induced magnetostrictive anisotropy fields, local hard bias fields, or local flux concentrating fields by adjacent soft magnetic layers.
While this invention has been particularly shown and described with reference to the preferred embodiments thereof, it will be understood by those skilled in the art that various changes in form and details may be made without departing from the spirit and scope of the invention.
“A Magnetic Tunnel Junction (MTJ) Based Magnetic Field Angle Sensor”, Ser. No. 11/799,706, Filing Date May 2, 2007, assigned to the same assignee as this invention and incorporated herein by reference.