37. E. Evans, Annu. Rev. Biophys. Biomol. Struct. 30, 105 (2001). 38. G. I. Bell, Science 200, 618 (1978). 39. For adhesive interactions important in soft tissues and organs of eukaryotic cell systems, the average times toff° reported for spontaneous dissociation of ligand/receptor bonds range from a fraction of a second to 100 s or more. 40. Because of thermal activation, the appropriate unit ...

Let n1 and n2 be the indexes of refraction of two homogeneous and isotropic media I and II, respectively. Suppose that from a point O inside medium I light emanates with intensity f (x) for x ∈ Ω . We want to construct a refracting surface R parameterized as R = {ρ(x)x : x ∈ Ω}, separating media I and II, and such that all rays refracted by R into medium II have directions in Ω∗ and the prescri...

The aim of far field splitting for time-harmonic acoustic or electromagnetic waves is to decompose the far field of a wave radiated by an ensemble of several compactly supported sources into the individual far field components radiated by each of these sources separately. Without further assumptions this is an ill-posed inverse problem. Observing that far fields radiated by compactly supported ...

Far-field optical lens resolution is fundamentally limited by diffraction, which typically is about half of the wavelength. This is due to the evanescent waves carrying small scale information from an object that fades away in the far field. A recently proposed superlens theory offers a new approach by surface excitation at the negative index medium. We introduce a far-field optical superlens (...

We demonstrate far-field optical imaging at the nanoscale with unlabeled samples. Subdiffraction resolution images of autofluorescent samples are obtained by depleting the ground state of natural fluorophores by transferring them to a metastable dark state and simultaneously localizing those fluorophores that are transiently returning. Our approach is based on the insight that nanoscopy methods...

Using the inverse diffractive grating problem as an example, we demonstrate how a super-resolution can be achieved stably by using far-field data. The idea is to place a slab of a homogeneous medium with a large index of refraction above the grating surface, and more propagating wave modes can be utilized from the far-field data which contributes to the reconstruction resolution. © 2016 Elsevie...