Single and Dual Photonic Jets With Tipped Waveguides: An Integral Approach

Abstract

International audienceSingle and dual photonic jets generated by weak multimode waveguides can be studied out rigorously by means of an integral equation. The latter can be obtained on the basis of a principle that resembles one of Mautz and Harrington's although the context is different. Comparison with finite difference time domain results showed overall good agreement, and because the method is fast, it can be used for optimization purposes. In particular, it permitted us to obtain dual photonic jets with beam separation as small as a wavelength

Refractive index less than two: photonic nanojets yesterday, today and tomorrow [Invited]

“…The majority of the studies devoted to photonic nanojet structures has been done for single and chain of spheres [6][7][8][9][10][11][12][13][14][15][16][17]22,24, and cylinders [21,23,25,33,[53][54][55][56][57][58][59]. In general, the behavior of spheres and cylinders are quite similar and, thus, it makes sense to discuss the results for both shapes in parallel.…”

Localized EM and photonic jets from non‐spherical and non‐symmetrical dielectric mesoscale objects: Brief review

“… brief reviewed several potential applications of PNJ like: Low‐Loss Optical Waveguiding; Enhanced Raman Scattering; Two‐Photon Fluorescence Enhancement; Maskless Subwavelength‐Resolution Direct‐Write Nanopatterning; Nanoparticle Detection, Sizing, and Location; Directional Emission in a Symmetrical Aggregate of Spherical Particles; Inspection of Semiconductor Wafers; Optical Trapping of Metal Nanoparticles; Ultrahigh‐Density Optical Data‐Storage Disks. Last time several interesting application were discussed in the literature, for example, optical 50 nm super‐resolution , Enhancement of Raman scattering using photonic nanojet of a single microsphere , microprobe based on chains of dielectric spheres , a photonic nanojets applications for focusing electromagnetic energy into a photodiode , super‐resolution photoacoustic microscopy , 2D hollow tapered waveguides , photonic jets with tipped waveguides , PNJ in optical tweezers , PNJ array for multi‐focus parallel detection of fluorescent molecules , etc.…”

Boundary Impedance Operator to Study Tipped Parallel Plate Waveguides

“…This means that the midpoint method has to be combined with a substitution of variable which may be polynomial. For example, if path is entirely parametrized by the parameter that sweeps the interval , such a variable substitution may be given as (13) with , an arbitrary function and where is a point on path . The dot superscript on and designates the derivative with respect to parameter .…”

“…The sampling parameter as in (13) is chosen in such a way as to sweep from to 1 with a step of . Consequently, the process of discretization is controlled by two parameters, and the nonuniform sampling parameter as in (13). The influence of may be analyzed by setting to its lowest acceptable value of 2 and by using the same convergence criterion as for .…”

“…A photonic jet is a highly concentrated beam on less than half a wavelength in the free-space. Recently, it has been reported that such a high power concentration may be achieved not only with cylindrical or spherical dielectric particles but also with tipped waveguides [12], [13]. Experimental confirmations have been presented in the microwave domain [14], [15] and potential applications have been proposed [9], [16], [17].…”