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Here, a generalized induction coil sensor model, more generalized than othermodels, has been considered and the equivalent magnetic field of the coilthermal noise and the sensor signal to noise ratio are calculated theoreticallybased on the dimensions and geometry of the coil winding and its core. Ourcalculations indicate that the equivalent magnetic field of the thermal noisecan be minimized by the coil to core weight ratio. Moreover, it is found thatthe sensor signal to noise ratio can be maximized with only a special value ofcore aspect ratio length to diameter of core ratio. The calculation resultshere exhibit good agreement with the experimentally measured noise data.

Investigation of Noise Reduction and SNR Enhancement in Search Coil Magnetometers at Low Frequencies