A Resonant Micromachined Magnetic Field Sensor

The design, modeling, and simulation of a novel micromachined magnetic field sensor are discussed. The sensor uses an electrostatic resonator whose fundamental resonant frequency is modified by a Lorentz force generated from the interaction of the sensor structure and the present magnetic field. The sensor was fabricated in a standard bulk micromachining process without the need for any additional processing steps. Since the sensor does not employ any magnetic materials, it does not exhibit hysteresis. A comprehensive model of the sensor behavior is derived which encompasses the interactions of the involved physical domains. Validity of the modeling results was verified by finite-element simulations, and later, through experiments. The sensitivities of the fabricated sensors are in the range of 48-87 Hz/T, depending on sensor structure and dimensions. The design of the sensor allows for its fabrication in many standard microelectromechanical system processes and is compatible with CMOS processes. The theoretical minimum detectable signal with current devices is on the order of 217 nT. Methods to improve the sensitivity of the current sensors are suggested. A linear response to a wide range of magnetic fields makes this design suitable for applications where large fields need to be measured with high resolution.

[1]  H. Emmerich,et al.  Magnetic field measurements with a novel surface micromachined magnetic-field sensor , 2000 .

[2]  Stanley Dunkerley,et al.  On the Whirling and Vibration of Shafts , 1894 .

[3]  J. Rabaey,et al.  A 300-μW 1.9-GHz CMOS oscillator utilizing micromachined resonators , 2003, IEEE J. Solid State Circuits.

[4]  D. W. Allan,et al.  Time and Frequency (Time-Domain) Characterization, Estimation, and Prediction of Precision Clocks and Oscillators , 1987, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[5]  William J. Kaiser,et al.  A /spl mu/-magnetometer based on electron tunneling , 1996, Proceedings of Ninth International Workshop on Micro Electromechanical Systems.

[6]  I. Zana,et al.  A low-power resonant micromachined compass , 2004 .

[7]  W. F. Egan An efficient algorithm to compute Allan variance from spectral density , 1988 .

[8]  William C. Tang,et al.  Electrostatic Comb Drive for Resonant Sensor and Actuator Applications , 1990 .

[9]  O. Brand,et al.  Resonant Magnetic Field Sensor With Frequency Output , 2006, Journal of Microelectromechanical Systems.

[10]  I. N. Mirolyubov,et al.  An Aid to solving problems in strength of materials , 1974 .

[11]  W. Kaiser,et al.  Resonant mechanical magnetic sensor in standard CMOS , 1998, IEEE Electron Device Letters.

[12]  C. Shafai,et al.  A micromachined magnetometer with frequency modulation at the output , 2005, IEEE Sensors, 2005..

[13]  T. Gabrielson Mechanical-thermal noise in micromachined acoustic and vibration sensors , 1993 .

[14]  R. Howe,et al.  An integrated CMOS micromechanical resonator high-Q oscillator , 1999, IEEE J. Solid State Circuits.

[15]  Steven L. Garrett,et al.  Thermal noise in a fiber optic sensor , 1988 .

[16]  G. Srinivasan,et al.  Ferrite-Piezoelectric Multilayers for Magnetic Field Sensors , 2006, IEEE Sensors Journal.

[17]  Pascal Nouet,et al.  Design of CMOS MEMS based on mechanical resonators using a RF simulation approach , 2004, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[18]  Electro-mechanical resonant magnetic field sensor , 2002, physics/0210014.

[19]  C. Nguyen,et al.  Micromechanical resonators for oscillators and filters , 1995, 1995 IEEE Ultrasonics Symposium. Proceedings. An International Symposium.

[20]  S. R. Trout,et al.  Use of Helmholtz coils for magnetic measurements , 1988 .

[21]  Robert Hull,et al.  Properties of Crystalline Silicon , 1999 .

[22]  Mark N. Horenstein,et al.  A micro-aperture electrostatic field mill based on MEMS technology , 2001 .

[23]  P. Sarro,et al.  Magnetic-field measurements using an integrated resonant magnetic-field sensor , 1998 .

[24]  Peter Vettiger,et al.  Piezoresistive cantilever designed for torque magnetometry , 1998 .

[25]  W. Thomson Theory of vibration with applications , 1965 .

[26]  S. Dong,et al.  Vortex magnetic field sensor based on ring-type magnetoelectric laminate , 2004 .

[27]  William J. Kaiser,et al.  A micromachined magnetic-field sensor based on an electron tunneling displacement transducer , 2000 .

[28]  R. Cowburn,et al.  High sensitivity measurement of magnetic fields using microcantilevers , 1997 .