Abstract: Apparatus for implementing Adjustable Compensation Ratio (ACR) active shielding or control of physical fields (magnetic, electric, electromagnetic, acoustic, etc.), comprising the addition of a secondary internal feedback loop within a conventional primary closed feedback loop topology. Compensation-ratio transfer function order and coefficients adjustment permits accommodating frequency-dependent and frequency-independent effects within a Protected Volume when a system field sensor or sensor array is not at the exact location where external field interference must be optimally canceled. A Laplace polynomial term precisely sets this parameter in a supplementary feedback link by modeling the frequency-dependent characteristic of an Interacting Medium without deleterious effect on other desirable primary closed-loop characteristics. The inventive ACR can be used in advanced active cancellation for magnetic shielding purposes.

Abstract: Apparatus for implementing Adjustable Compensation Ratio (ACR) active shielding or control of physical fields (magnetic, electric, electromagnetic, acoustic, etc.), comprising the addition of a secondary internal feedback loop within a conventional primary closed feedback loop topology. Compensation-ratio transfer function order and coefficients adjustment permits accommodating frequency-dependent and frequency-independent effects within a Protected Volume when a system field sensor or sensor array is not at the exact location where external field interference must be optimally canceled. A Laplace polynomial term precisely sets this parameter in a supplementary feedback link by modeling the frequency-dependent characteristic of an Interacting Medium without deleterious effect on other desirable primary closed-loop characteristics. The inventive ACR can be used in advanced active cancellation for magnetic shielding purposes.

Abstract: ESR microscope systems and methods for examining specimens using both continuous wave and pulsed modes in the 9 to 60 GHz range. The ESR microscope uses an image probe comprising gradient coils in addition to conventional modulation coils (in continuous wave mode) or magnetic field bias coils (in pulse mode), and a resonator constructed from high permittivity material. The systems and methods also involves the use of sample containers that permit the precise placement of samples in relation to the image probe. The microscope uses a microstrip or thin coaxial or dielectric antenna to obtain a high coupling coefficient to the specimen being imaged. The microscope systems provide resolution at the single micron level, and permit the observation of images comprising tens to hundreds of pixels for each of two or three dimensions in a few minutes. Novel stable radicals used as the imaging media are also described.