**Authors:**Edwin A. Marengo, Marcus V. Bunn, and Jing Tu

**Source:**FERMAT, Articles, 2016-Vol16-Jul_Aug-006

**Abstract:**This work provides an overview of recent advances
in the theory and imaging applications of the optical theorem.
The latter is a fundamental result of electromagnetics, acoustics, and quantum-mechanical scattering, with many important
applications in imaging and detection. Particular emphasis is
given to our latest efforts aimed at developing the holographic
implementation of the optical theorem for the measurement of
the power extincted by a scatterer that is interrogated by an
arbitrary probing field and is embedded in an arbitrary medium
or scene. Several practical configurations of optical theorem
detectors are developed in the paper. This includes a new lensimaging-based optical theorem detector and different forms of
optical theorem holograms with particular emphasis on LeithUpatnieks-holography-inspired optical theorem detectors. The
developed optical theorem holography is particularly relevant
for optical and quantum systems in which one measures only
field intensities, and has many potential applications including
sensors of constitutive properties of materials, optical scanners,
biometric readers, communication systems, and information storage devices. The optical theorem holography theory developed in
the paper is illustrated and validated with a canonical scattering
example in two-dimensional space.

**Index Terms:**scattering theory, scattering measurements, inverse scattering, holography, optical theorem, optical detection

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