In this Primer, we focus on the most recent advancements in stimulated emission depletion
(STED) microscopy, encompassing optics, computational microscopy and probes design …

Many physical phenomena are described by first-order differential equations whose solution
is an exponential decay. Determining the time constants and amplitudes of exponential …

We consider the notion of qualitative information and the practicalities of extracting it from
experimental data. Our approach, based on a theorem of Takens, draws on ideas from the …

Modes generally provide an economical description of waves, reducing complicated wave
functions to finite numbers of mode amplitudes, as in propagating fiber modes and ideal …

Coherent x-ray diffraction microscopy is a method of imaging nonperiodic isolated objects at
resolutions limited, in principle, by only the wavelength and largest scattering angles …

Maximum entropy (ME) inversion is a non‐linear inversion technique for inverse problems
where the object to be recovered is known to be positive. It has been applied in areas …

Image deblurring is an important topic in imaging science. In this review, we consider
together fluorescence microscopy and optical/infrared astronomy because of two common …

Publisher Summary This chapter considers linear inverse problems that have the following
general structure. The first step is the definition of the direct problem, which must be linear …

Information capacity and resolution in an optical system clickable element to expand a topic
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The authors discuss linear methods for the solution of linear inverse problems with discrete
data. Such problems occur frequently in instrumental science, eg tomography, radar, sonar …