AMR sensor array design for the realization of a 3D magnetic tactile sensor

Abstract


Introduction
State-of-the-art tactile sensors relying on magnetic principles measure the change in flux density resulting from the applied force, and usually exploit magnetic field sensors based on the conventional Hall effect [1].Compared to the latter, magnetoresistive (MR) sensors feature higher sensitivity, better signal-to-noise ratio and enhanced thermal stability.In this context, AMR sensors are attractive, owing to their relatively simple and cheap CMOS-compatible fabrication process, which makes them easily prone to miniaturization, thereby offering the possibility to achieve high sensitivity at low cost in a relatively compact footprint.Here, we discuss the design of planar AMR sensor arrays suitable for 3D magnet motion tracking, which lays the foundation for realizing miniaturized 3D tactile sensors that are sensitive to both normal and shear components of the vector force.

Materials and Methods
The proposed tactile sensor structure (see Figure 1a) comprises a permanent magnet embedded in a deformable membrane and located above a fixed substrate carrying a planar array of AMR sensors.The latter are made of thin Permalloy (Ni80Fe20) stripes exhibiting a linear MR response as a result of barber-pole biasing [2] (see Figure 1b,c).Micromagnetic simulations based on finite-difference methods (MuMax3) [3] are performed to calculate the response of the AMR sensors.The magnetic field generated by the permanent magnet is computed via analytical expressions implemented in the Magpylib Python package [4] and is used as external magnetic field input for micromagnetic simulations to derive the AMR sensor response.Finite-element calculations (Ansys Maxwell 2022 R1) are applied to simulate the electric current distribution within the Permalloy stripes in the barber-pole configuration in order to optimize their design.
distribution within the Permalloy stripes in the barber-pole configuration in order to optimize their design.

Discussion
Two possible AMR sensor array designs have been identified which are suitable for 3D magnet motion tracking.In both cases, the Permalloy stripes are arranged in Wheatstone bridges (WBs).The first design (see Figure 1b) comprises two central WBs reconstructing the magnet motion in the xy plane and two additional lateral WBs whose linearly combined outputs enable the detection of the magnet displacement along z.The second design (see Figure 1c) includes two WBs at the edges of the magnet motion area allowing its xy position to be inferred via a triangulation algorithm and a central WB whose output, combined with the previous two, enables the detection of the magnet z position.
Sub-mm NdFeB magnets are considered to test and validate the two designs.The AMR sensors consist of 15-nm-thick, few-µm-wide and few-tens-of-µm-long Permalloy stripes.The first AMR array design allows the detection of the magnet position with <10µm accuracy within a motion range of 600 µm along x and y and of 300 µm along z (see Figure 1d), whereas the second array design can cover a wider range of magnet motion in all directions but at the cost of a 5-10 times lower accuracy.
In summary, these results show the possibility to track the displacements of a permanent magnet by means of properly designed and monolithically manufactured planar arrays of AMR sensors.Future work will be devoted to sensor design optimization as well as experimental validation.The device concept reported here is promising for the fabrication of novel miniaturized 3D tactile sensors and its versatility makes it also suitable for realizing easy-to-fabricate and low-cost sensors probing a large spectrum of other physical observables (e.g., pressure, fluid flow, acceleration, etc.).

Discussion
Two possible AMR sensor array designs have been identified which are suitable for 3D magnet motion tracking.In both cases, the Permalloy stripes are arranged in Wheatstone bridges (WBs).The first design (see Figure 1b) comprises two central WBs reconstructing the magnet motion in the xy plane and two additional lateral WBs whose linearly combined outputs enable the detection of the magnet displacement along z.The second design (see Figure 1c) includes two WBs at the edges of the magnet motion area allowing its xy position to be inferred via a triangulation algorithm and a central WB whose output, combined with the previous two, enables the detection of the magnet z position.
Sub-mm NdFeB magnets are considered to test and validate the two designs.The AMR sensors consist of 15-nm-thick, few-µm-wide and few-tens-of-µm-long Permalloy stripes.The first AMR array design allows the detection of the magnet position with <10-µm accuracy within a motion range of 600 µm along x and y and of 300 µm along z (see Figure 1d), whereas the second array design can cover a wider range of magnet motion in all directions but at the cost of a 5-10 times lower accuracy.
In summary, these results show the possibility to track the displacements of a permanent magnet by means of properly designed and monolithically manufactured planar arrays of AMR sensors.Future work will be devoted to sensor design optimization as well as experimental validation.The device concept reported here is promising for the fabrication of novel miniaturized 3D tactile sensors and its versatility makes it also suitable for realizing easy-to-fabricate and low-cost sensors probing a large spectrum of other physical observables (e.g., pressure, fluid flow, acceleration, etc.).

Figure 1 .
Figure 1.(a) Three-dimensional tactile sensor structure.(b) First AMR sensor array design.(c) Second AMR sensor array design.(d) Three-dimensional magnet motion reconstruction via the first AMR sensor array design.

Figure 1 .
Figure 1.(a) Three-dimensional tactile sensor structure.(b) First AMR sensor array design.(c) Second AMR sensor array design.(d) Three-dimensional magnet motion reconstruction via the first AMR sensor array design.