2016
DOI: 10.1364/josaa.33.002284
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Increase of resolution by use of microspheres related to complex Snell’s law

Abstract: The increase of resolution by the use of microspheres is related to the use of evanescent waves satisfying complex Snell's law with complex trigonometric functions related to the incident and refracted angles, while the refractive indices are real. The evanescent waves are obtained in addition to initial propagating waves satisfying the ordinary Snell's law. The lateral spatial wave vectors of the evanescent waves, which include information on the object fine structures, are converted at the microsphere surfac… Show more

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Cited by 40 publications
(31 citation statements)
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“…corrugated metallic film [15]) and which are decaying along the z axis. These waves are transformed to propagating waves by the microsphere, [14][15][16][17] but this process is effective only near the contact point O where the distance between the object plane surface and the microsphere surface is enough small so that significant amount of evanescent waves arrives at the microsphere surface. b) There is a large amount of EM waves which are not converted by the object into evanescent waves and by converging near the focal point P are producing the Nano-jet.…”
Section: Microsphere Optical Nano-jet Related To Non-diffractive Bessmentioning
confidence: 99%
“…corrugated metallic film [15]) and which are decaying along the z axis. These waves are transformed to propagating waves by the microsphere, [14][15][16][17] but this process is effective only near the contact point O where the distance between the object plane surface and the microsphere surface is enough small so that significant amount of evanescent waves arrives at the microsphere surface. b) There is a large amount of EM waves which are not converted by the object into evanescent waves and by converging near the focal point P are producing the Nano-jet.…”
Section: Microsphere Optical Nano-jet Related To Non-diffractive Bessmentioning
confidence: 99%
“…As is well known, the component of the monochromatic light wave vector, which is parallel to the boundary plane, is not changed by transmittance. We postulate that such boundary condition would also be valid for complex wave vector as analyzed in the previous paper [59] is the component of the present spatial mode in the microsphere which is perpendicular to the microsphere surface at point P . We substitute Eqs.…”
Section: Conversion Of Evanescent Waves Into Propagating Wavesmentioning
confidence: 84%
“…However, the objective lens must be able to resolve the magnified features of the virtual image generated by the microsphere. Although the phenomenon of microsphere‐assisted microscopy is still not fully explained and the claimed resolution values are debatable (Allen et al ., ), several experimental results and computer simulations have not only determined the role of evanescent waves (Ben‐Aryeh, ), the influence of the surrounding medium (Yao et al ., ; Darafsheh, ) and the effect of the coherence (Maslov & Astratov, ; Perrin et al ., ), but also improved the field of view using stitching techniques (Wang et al ., ; Huszka et al ., ). Moreover, microsphere‐assisted microscopy has been successfully combined with interferometry for the three‐dimensional (3D) topography reconstruction of nanostructures (Wang et al ., ; Perrin et al ., ; Kassamakov et al ., ) or cell morphology (Aakhte et al ., ), and with dark‐field illumination for the imaging of translucent biological samples (Perrin et al ., ).…”
Section: Introductionmentioning
confidence: 99%