Theoretical results are presented concerning the performance of thin-film anisotropic magnetoresistive magnetic field sensors with a single- and multilayered ring configuration. A mathematical model is proposed that allows analytical calculation of magnetization fields, is suitable for sensor optimization, and requires a reasonable amount of computing time. A system of equations is derived for the magnetization angle of rotation. On this basis, the response, sensitivity, and angular characteristics of particular sensors are optimized.
75.10.-b General theory and models of magnetic ordering
75.75.+a Magnetic properties of nanostructures
85.75.-d Magnetoelectronics; spintronics: devices exploiting spin polarized transport or integrated magnetic fields
$^1$Faculty of Physics, Moscow State University, Moscow, 119991, Russia
$^2$Institute of Control Sciences (Automation and Telemechanics), Russian Academy of Sciences, Moscow, 117997, Russia
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