A physically unclonable function is an object that has characteristics that make it extremely difficult or impossible to copy. An array of randomly dispersed hard (magnetized) and soft (non-magnetized) magnetic particles that may be conducting or nonconducting that are disbursed in a binder create a particular magnetic field or capacitive pattern on the surface. This surface magnetic field and capacitive variations can be considered to be a unique pattern similar to fingerprint. The Hall effect prism is a sensor that measures the effects of these patterns by sensing the deformation of currents or electric potential flowing within or around a resistive substrate material that exhibits a substantial Hall effect coefficient.

A measurement apparatus acquires actually-measured closed magnetic path curve data, actually-measured open magnetic path curve data, and a surface magnetic property value; calculates, for each divided region obtained by sectioning and dividing the permanent magnet, by using a function including a parameter that determines distribution of magnetic property of the permanent magnet, a magnetic property value of the divided region based on an internal magnetic property value extracted from the actually-measured closed magnetic path curve data and the surface magnetic property value; calculates estimated open magnetic path curve data indicating a magnetization curve of the permanent magnet, based on a magnetic property value and the actually-measured closed magnetic path curve data; changes a value of the parameter to minimize a magnetization difference between the actually-measured open magnetic path curve data and the estimated open magnetic path curve data; and outputs a magnetic property value of each of the divided regions.

A measurement apparatus acquires actually-measured closed magnetic path curve data, actually-measured open magnetic path curve data, and a surface magnetic property value; calculates, for each divided region obtained by sectioning and dividing the permanent magnet, by using a function including a parameter that determines distribution of magnetic property of the permanent magnet, a magnetic property value of the divided region based on an internal magnetic property value extracted from the actually-measured closed magnetic path curve data and the surface magnetic property value; calculates estimated open magnetic path curve data indicating a magnetization curve of the permanent magnet, based on a magnetic property value and the actually-measured closed magnetic path curve data; changes a value of the parameter to minimize a magnetization difference between the actually-measured open magnetic path curve data and the estimated open magnetic path curve data; and outputs a magnetic property value of each of the divided regions.

Vehicle position is determined using magnetic field measurements within an indoor environment. Magnetic field measurements and sensor information are obtained from the vehicle and magnetic map information is obtained for the indoor environment. Parameters of vehicle motion are derived from the sensor information. The magnetic field measurements are processed to mitigate vehicular interference and then compensated for a magnetometer bias induced at least in part by the vehicle. Vehicle position is determined based at least in part on the compensated magnetic field magnetic measurements, the magnetic map information and the parameters of vehicle motion.

Vehicle position is determined using magnetic field measurements within an indoor environment. Magnetic field measurements and sensor information are obtained from the vehicle and magnetic map information is obtained for the indoor environment. Parameters of vehicle motion are derived from the sensor information. The magnetic field measurements are processed to mitigate vehicular interference and then compensated for a magnetometer bias induced at least in part by the vehicle. Vehicle position is determined based at least in part on the compensated magnetic field magnetic measurements, the magnetic map information and the parameters of vehicle motion.

Multiple magnetic field sensors are arranged around a current-containing volume at multiple longitudinal and circumferential positions. Each sensor measures multiple magnetic field components and is characterized by one or more calibration parameters. A longitudinal primary current flows through two end-to-end electrical conductors that are separated by an arc gap, and flows as at least one longitudinal primary electric arc that spans the arc gap and that moves transversely within the arc gap. Estimated transverse position of the primary electric arc is calculated, based on the longitudinal position of the arc gap, and two or more of the measured magnetic field components along with one or more corresponding sensor positions or calibration parameters. In addition, estimated occurrence, position, and magnitude of a transverse secondary current (i.e., a side arc) can be calculated based on those quantities.

Provided is a measurement device including an application unit, a detection unit, and a calculation unit. The application unit applies a first magnetic field, which is generated by applying a pulse current to a coil or applying currents with a plurality of frequencies to the coil in order, to an object. The detection unit detects a second magnetic field which is generated by applying the first magnetic field to the object. The calculation unit calculates a distribution of a magnetic field source m in the second magnetic field. The calculation unit may further generate an imaging signal for displaying the calculated distribution of the magnetic field source m, as an image. The display unit displays the image indicating the distribution of the magnetic field source m by using the imaging signal.

Provided is a measurement device including an application unit, a detection unit, and a calculation unit. The application unit applies a first magnetic field, which is generated by applying a pulse current to a coil or applying currents with a plurality of frequencies to the coil in order, to an object. The detection unit detects a second magnetic field which is generated by applying the first magnetic field to the object. The calculation unit calculates a distribution of a magnetic field source m in the second magnetic field. The calculation unit may further generate an imaging signal for displaying the calculated distribution of the magnetic field source m, as an image. The display unit displays the image indicating the distribution of the magnetic field source m by using the imaging signal.

A pulsed magnetic particle imaging system includes a magnetic field generating system that includes at least one magnet, the magnetic field generating system providing a spatially structured magnetic field within an observation region of the magnetic particle imaging system such that the spatially structured magnetic field will have a field-free region (FFR) for an object under observation having a magnetic nanoparticle tracer distribution therein. The pulsed magnetic particle imaging system also includes a pulsed excitation system arranged proximate the observation region, the pulsed excitation system includes an electromagnet and a pulse sequence generator electrically connected to the electromagnet to provide an excitation waveform to the electromagnet, wherein the electromagnet when provided with the excitation waveform generates an excitation magnetic field within the observation region to induce an excitation signal therefrom by at least one of shifting a location or condition of the FFR. The pulsed magnetic particle imaging system further includes a detection system arranged proximate the observation region, the detection system being configured to detect the excitation signal to provide a detection signal. The excitation waveform includes a transient portion and a substantially constant portion.

A pulsed magnetic particle imaging system includes a magnetic field generating system that includes at least one magnet, the magnetic field generating system providing a spatially structured magnetic field within an observation region of the magnetic particle imaging system such that the spatially structured magnetic field will have a field-free region (FFR) for an object under observation having a magnetic nanoparticle tracer distribution therein. The pulsed magnetic particle imaging system also includes a pulsed excitation system arranged proximate the observation region, the pulsed excitation system includes an electromagnet and a pulse sequence generator electrically connected to the electromagnet to provide an excitation waveform to the electromagnet, wherein the electromagnet when provided with the excitation waveform generates an excitation magnetic field within the observation region to induce an excitation signal therefrom by at least one of shifting a location or condition of the FFR. The pulsed magnetic particle imaging system further includes a detection system arranged proximate the observation region, the detection system being configured to detect the excitation signal to provide a detection signal. The excitation waveform includes a transient portion and a substantially constant portion.