Angular momenta, helicity, and other properties of dielectric-fiber and metallic-wire modes

Spin and orbital angular momenta (AM) of light are well studied for free-space electromagnetic fields, even nonparaxial. One of the important applications of these concepts is the information transfer using AM modes, often via optical fibers and other guiding systems. However, the self-consistent description of the spin and orbital AM of light in optical media (including dispersive and metallic cases) was provided only recently [K.Y. Bliokh et al., Phys. Rev. Lett. 119, 073901 (2017)]. Here we present the first accurate calculations, both analytical and numerical, of the spin and orbital AM, as well as the helicity and other properties, for the full-vector eigenmodes of cylindrical dielectric and metallic (nanowire) waveguides. We find remarkable fundamental relations, such as the quantization of the canonical total AM of cylindrical guided modes in the general nonparaxial case. This quantization, as well as the noninteger values of the spin and orbital AM, are determined by the generalized geometric and dynamical phases in the mode fields. Moreover, we show that the spin AM of metallic-wire modes is determined, in the geometrical-optics approximation, by the transverse spin of surface plasmon-polaritons propagating along helical trajectories on the wire surface. Our work provides a solid platform for future studies and applications of the AM and helicity properties of guided optical and plasmonic waves.Comment: 12 pages, 4 figures, to appear in Optic

Electric current induced unidirectional propagation of surface plasmon-polaritons

Nonreciprocity and one-way propagation of optical signals is crucial for modern nanophotonic technology, and is typically achieved using magneto-optical effects requiring large magnetic biases. Here we suggest a fundamentally novel approach to achieve unidirectional propagation of surface plasmon-polaritons (SPPs) at metal-dielectric interfaces. We employ a direct electric current in metals, which produces a Doppler frequency shift of SPPs due to the uniform drift of electrons. This tilts the SPP dispersion, enabling one-way propagation, as well as zero and negative group velocities. The results are demonstrated for planar interfaces and cylindrical nanowire waveguides.Comment: 4 pages, 4 figures, to appear in Opt. Let

Repulsion of polarized particles from two-dimensional materials

Repulsion of nanoparticles, molecules and atoms from surfaces can have important applications in nanomechanical devices, microfluidics, optical manipulation and atom optics. Here, through the solution of a classical scattering problem, we show that a dipole source can experience a robust and strong repulsive force when its near-field interacts with a two-dimensional material that has a metallic character. As an example, the case of graphene is considered, showing that a broad bandwidth of repulsion can be obtained spanning the frequency range $0<\hbar\omega<(5/3)\mu_c$, where ${\mu}_c$ is the chemical potential of graphene, tuneable electrically or by chemical doping

Electric Levitation Using ε-Near-Zero Metamaterials

[EN] The ability to manufacture metamaterials with exotic electromagnetic properties has potential for surprising new applications. Here we report how a specific type of metamaterial-one whose permittivity is near zero-exerts a repulsive force on an electric dipole source, resulting in levitation of the dipole. The phenomenon relies on the expulsion of the time-varying electric field from the metamaterial interior, resembling the perfect diamagnetic expulsion of magnetostatic fields. Leveraging this concept, we study some realistic requirements for the levitation or repulsion of a polarized particle radiating at any frequency, from microwave to optics.This work is supported in part by the US Office of Naval Research (ONR) Multidisciplinary University Research Initiative (MURI) Grant No. N00014-10-1-0942. F. J. R.-F. acknowledges financial support from Grant FPI of GV and the Spanish MICINN under Contracts No. CONSOLIDER EMET CSD2008-00066 and No. TEC2011-28664-C02-02.Rodríguez Fortuño, FJ.; Vakil, A.; Engheta, N. (2014). Electric Levitation Using ε-Near-Zero Metamaterials. Physical Review Letters. 112(3):33902-1-33902-5. https://doi.org/10.1103/PhysRevLett.112.033902S33902-133902-5112

Multiple extraordinary optical transmission peaks from evanescent coupling in perforated metal plates surrounded by dielectrics

© 2010 Optical Society of America. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modifications of the content of this paper are prohibitedWe study numerically and theoretically the optical transmission of nanostructured gold films embedded in dielectric claddings. We show how multiple transmission peaks appear as the claddings thickness increases. These transmission peaks come not only from surface plasmon polariton excitations but also from the excitation of Fabry-Perot modes sustained at the claddings, coupled through the metal, as long as a periodic pattern is milled in the metal film. We propose that this structure could be used as an ultracompact all-optical switch by surrounding the metal film with Kerr nonlinear dielectric layers. (C) 2010 Optical Society of AmericaWe thank the FCT (Fundacao para a Ciencia e Tecnologia) for funding of this research through the projects SFRH/BD/8278/2002 and PTDC/FIS/68419/2006.Ortuño Molinero, R.; García Meca, C.; Rodríguez Fortuño, FJ.; Martí Sendra, J.; Martínez Abietar, AJ. (2010). Multiple extraordinary optical transmission peaks from evanescent coupling in perforated metal plates surrounded by dielectrics. Optics Express. 18(8):7893-7898. https://doi.org/10.1364/OE.18.007893S78937898188Dragila, R., Luther-Davies, B., & Vukovic, S. (1985). High Transparency of Classically Opaque Metallic Films. Physical Review Letters, 55(10), 1117-1120. doi:10.1103/physrevlett.55.1117Ebbesen, T. W., Lezec, H. J., Ghaemi, H. F., Thio, T., & Wolff, P. A. (1998). Extraordinary optical transmission through sub-wavelength hole arrays. Nature, 391(6668), 667-669. doi:10.1038/35570Koerkamp, K. J. K., Enoch, S., Segerink, F. B., van Hulst, N. F., & Kuipers, L. (2004). Strong Influence of Hole Shape on Extraordinary Transmission through Periodic Arrays of Subwavelength Holes. Physical Review Letters, 92(18). doi:10.1103/physrevlett.92.183901Takakura, Y. (2001). Optical Resonance in a Narrow Slit in a Thick Metallic Screen. Physical Review Letters, 86(24), 5601-5603. doi:10.1103/physrevlett.86.5601Zhou, L., Wen, W., Chan, C. T., & Sheng, P. (2005). Electromagnetic-Wave Tunneling Through Negative-Permittivity Media with High Magnetic Fields. Physical Review Letters, 94(24). doi:10.1103/physrevlett.94.243905Lomakin, V., & Michielssen, E. (2005). Enhanced transmission through metallic plates perforated by arrays of subwavelength holes and sandwiched between dielectric slabs. Physical Review B, 71(23). doi:10.1103/physrevb.71.235117Rakić, A. D., Djurišić, A. B., Elazar, J. M., & Majewski, M. L. (1998). Optical properties of metallic films for vertical-cavity optoelectronic devices. Applied Optics, 37(22), 5271. doi:10.1364/ao.37.005271Genet, C., & Ebbesen, T. W. (2007). Light in tiny holes. Nature, 445(7123), 39-46. doi:10.1038/nature05350Ghaemi, H. F., Thio, T., Grupp, D. E., Ebbesen, T. W., & Lezec, H. J. (1998). Surface plasmons enhance optical transmission through subwavelength holes. Physical Review B, 58(11), 6779-6782. doi:10.1103/physrevb.58.6779Martínez, A., & Martí, J. (2005). Negative refraction in two-dimensional photonic crystals: Role of lattice orientation and interface termination. Physical Review B, 71(23). doi:10.1103/physrevb.71.235115Ruan, Z., & Qiu, M. (2006). Enhanced Transmission through Periodic Arrays of Subwavelength Holes: The Role of Localized Waveguide Resonances. Physical Review Letters, 96(23). doi:10.1103/physrevlett.96.233901Economou, E. N. (1969). Surface Plasmons in Thin Films. Physical Review, 182(2), 539-554. doi:10.1103/physrev.182.539Esembeson, B., Scimeca, M. L., Michinobu, T., Diederich, F., & Biaggio, I. (2008). A High-Optical Quality Supramolecular Assembly for Third-Order Integrated Nonlinear Optics. Advanced Materials, 20(23), 4584-4587. doi:10.1002/adma.200801552Spano, R., Daldosso, N., Cazzanelli, M., Ferraioli, L., Tartara, L., Yu, J., … Pavesi, L. (2009). Bound electronic and free carrier nonlinearities in Silicon nanocrystals at 1550nm. Optics Express, 17(5), 3941. doi:10.1364/oe.17.003941Dani, K. M., Ku, Z., Upadhya, P. C., Prasankumar, R. P., Brueck, S. R. J., & Taylor, A. J. (2009). Subpicosecond Optical Switching with a Negative Index Metamaterial. Nano Letters, 9(10), 3565-3569. doi:10.1021/nl901764

Analogue of the quantum hanle effect and polarization conversion in non-hermitian plasmonic metamaterials

This document is the Accepted Manuscript version of a Published Work that appeared in final form in Nano Letters, copyright © American Chemical Society after peer review and technical editing by the publisher. To access the final edited and published work see http://pubs.acs.org/page/policy/articlesonrequest/index.htmlThe Hanle effect, one of the first manifestations of quantum theory introducing the concept of coherent superposition between pure states, plays a key role in numerous aspects of science varying from applicative spectroscopy to fundamental astrophysical investigations. Optical analogues of quantum effects help to achieve deeper understanding of quantum phenomena and, in turn, to develop cross-disciplinary approaches to realizations of new applications in photonics. Here we show that metallic nanostructures can be designed to exhibit a plasmonic analogue of the quantum Hanle effect and the associated polarization rotation. In the original Hanle effect, time-reversal symmetry is broken by a static magnetic field. We achieve this by introducing dissipative level crossing of localized surface plasmons due to nonuniform losses, designed using a non-Hermitian formulation of quantum mechanics. Such artificial plasmonic "atoms" have been shown to exhibit strong circular birefringence and circular dichroism which depends on the value of loss or gain in the metal-dielectric nanostructure. © 2012 American Chemical Society.This work has been supported in part by EPSRC (UK). P.G. acknowledges Royal Society for a Newton International Fellowship. F.J.R.-F. acknowledges support from grant FPI of GV and the Spanish MICINN under contracts CONSOLIDER EMET CSD2008-00066 and TEC2011-28664-C02-02.Ginzburg, P.; Rodríguez Fortuño, FJ.; Martínez Abietar, AJ.; Zayats, AV. (2012). Analogue of the quantum hanle effect and polarization conversion in non-hermitian plasmonic metamaterials. Nano Letters. 12(12):6309-6314. https://doi.org/10.1021/nl3034174S63096314121

Lateral forces on circularly polarizable particles near a surface

Optical forces allow manipulation of small particles and control of nanophotonic structures with light beams. While some techniques rely on structured light to move particles using field intensity gradients, acting locally, other optical forces can push particles on a wide area of illumination but only in the direction of light propagation. Here we show that spin orbit coupling, when the spin of the incident circularly polarized light is converted into lateral electromagnetic momentum, leads to a lateral optical force acting on particles placed above a substrate, associated with a recoil mechanical force. This counterintuitive force acts in a direction in which the illumination has neither a field gradient nor propagation. The force direction is switchable with the polarization of uniform, plane wave illumination, and its magnitude is comparable to other optical forces.This work has been supported, in part, by EPSRC (UK). A.V.Z. acknowledges support from the Royal Society and the Wolfson Foundation. N.E. acknowledges partial support from the US Office of Naval Research Multidisciplinary University Research Initiative Grant No. N00014-10-1-0942. A.M. acknowledges support from the Spanish Government (contract Nos TEC2011-28664-C02-02 and TEC2014-51902-C2-1-R).Rodríguez Fortuño, FJ.; Engheta, N.; Martínez Abietar, AJ.; Zayats, AV. (2015). Lateral forces on circularly polarizable particles near a surface. Nature Communications. 6(8799):1-7. https://doi.org/10.1038/ncomms9799S1768799Novotny, L. & Hecht, B. Principles of Nano-Optics Cambridge University Press (2011).Jackson, J. D. Classical Electrodynamics Wiley (1998).Ashkin, A. & Dziedzic, J. M. Optical levitation by radiation pressure. Appl. Phys. Lett. 19, 283 (1971).Ashkin, A. Acceleration and trapping of particles by radiation pressure. Phys. Rev. Lett. 24, 156–159 (1970).Omori, R., Kobayashi, T. & Suzuki, A. 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Squeezing and expanding light without reflections via transformation optics

This paper was published in OPTICS EXPRESS and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://dx.doi.org/10.1364/OE.19.003562. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law[EN] We study the reflection properties of squeezing devices based on transformation optics. An analytical expression for the angle-dependent reflection coefficient of a generic three-dimensional squeezer is derived. In contrast with previous studies, we find that there exist several conditions that guarantee no reflections so it is possible to build transformation-optics-based reflectionless squeezers. Moreover, it is shown that the design of antireflective coatings for the non-reflectionless case can be reduced to matching the impedance between two dielectrics. We illustrate the potential of these devices by proposing two applications in which a reflectionless squeezer is the key element: an ultra-short perfect coupler for high-index nanophotonic waveguides and a completely flat reflectionless hyperlens. We also apply our theory to the coupling of two metallic waveguides with different cross-section. Finally, we show how the studied devices can be implemented with non-magnetic isotropic materials by using a quasi-conformal mapping technique. © 2011 Optical Society of America.Financial support by the Spanish MICINN under contract CONSOLIDER EMET (CSD2008-00066) and PROMETEO-2010-087 R&D Excellency Program (NANOMET) is gratefully acknowledged. C. G.-M., R. O. and F.J. R.-F. acknowledge financial support from grants FPU of MICINN, FPI of U.P.V. and FPI of Generalitat Valenciana, respectively.García Meca, C.; Tung, MM.; Galán Conejos, JV.; Ortuño Molinero, R.; Rodríguez Fortuño, FJ.; Martí Sendra, J.; Martínez Abietar, AJ. (2011). Squeezing and expanding light without reflections via transformation optics. Optics Express. 19(4):3562-3575. https://doi.org/10.1364/OE.19.003562S35623575194Yang, R., Abushagur, M. A., & Lu, Z. (2008). Efficiently squeezing near infrared light into a 21nm-by-24nm nanospot. Optics Express, 16(24), 20142. doi:10.1364/oe.16.020142Vivien, L., Laval, S., Cassan, E., Le Roux, X., & Pascal, D. (2003). 2-d taper for low-loss coupling between polarization-insensitive microwaveguides and single-mode optical fibers. Journal of Lightwave Technology, 21(10), 2429-2433. doi:10.1109/jlt.2003.817692Pendry, J. B. (2006). Controlling Electromagnetic Fields. Science, 312(5781), 1780-1782. doi:10.1126/science.1125907Leonhardt, U., & Philbin, T. G. (2006). General relativity in electrical engineering. New Journal of Physics, 8(10), 247-247. doi:10.1088/1367-2630/8/10/247Rahm, M., Cummer, S. A., Schurig, D., Pendry, J. B., & Smith, D. R. (2008). Optical Design of Reflectionless Complex Media by Finite Embedded Coordinate Transformations. Physical Review Letters, 100(6). doi:10.1103/physrevlett.100.063903Rahm, M., Roberts, D. A., Pendry, J. B., & Smith, D. R. (2008). Transformation-optical design of adaptive beam bends and beam expanders. Optics Express, 16(15), 11555. doi:10.1364/oe.16.011555Grzegorczyk, T. M., Chen, X., Pacheco, J., Chen, J., Wu, B.-I., & Kong, J. A. (2005). REFLECTION COEFFICIENTS AND GOOS-HANCHEN SHIFTS IN ANISOTROPIC AND BIANISOTROPIC LEFT-HANDED METAMATERIALS. Progress In Electromagnetics Research, 51, 83-113. doi:10.2528/pier04040901Taillaert, D., Bogaerts, W., Bienstman, P., Krauss, T. F., Van Daele, P., Moerman, I., … Baets, R. (2002). An out-of-plane grating coupler for efficient butt-coupling between compact planar waveguides and single-mode fibers. IEEE Journal of Quantum Electronics, 38(7), 949-955. doi:10.1109/jqe.2002.1017613Roelkens, G., Vermeulen, D., Van Thourhout, D., Baets, R., Brision, S., Lyan, P., … Fédéli, J.-M. (2008). High efficiency diffractive grating couplers for interfacing a single mode optical fiber with a nanophotonic silicon-on-insulator waveguide circuit. Applied Physics Letters, 92(13), 131101. doi:10.1063/1.2905260Tsuchizawa, T., Yamada, K., Fukuda, H., Watanabe, T., Jun-ichi Takahashi, Takahashi, M., … Morita, H. (2005). Microphotonics devices based on silicon microfabrication technology. IEEE Journal of Selected Topics in Quantum Electronics, 11(1), 232-240. doi:10.1109/jstqe.2004.841479Li, J., & Pendry, J. B. (2008). Hiding under the Carpet: A New Strategy for Cloaking. Physical Review Letters, 101(20). doi:10.1103/physrevlett.101.203901Vasić, B., Isić, G., Gajić, R., & Hingerl, K. (2009). Coordinate transformation based design of confined metamaterial structures. Physical Review B, 79(8). doi:10.1103/physrevb.79.085103Shalaev, V. M. (2008). PHYSICS: Transforming Light. Science, 322(5900), 384-386. doi:10.1126/science.1166079Xiong, Y., Liu, Z., & Zhang, X. (2009). A simple design of flat hyperlens for lithography and imaging with half-pitch resolution down to 20 nm. Applied Physics Letters, 94(20), 203108. doi:10.1063/1.3141457Kildishev, A. V., & Narimanov, E. E. (2007). Impedance-matched hyperlens. Optics Letters, 32(23), 3432. doi:10.1364/ol.32.003432Gaillot, D. P., Croënne, C., Zhang, F., & Lippens, D. (2008). Transformation optics for the full dielectric electromagnetic cloak and metal–dielectric planar hyperlens. New Journal of Physics, 10(11), 115039. doi:10.1088/1367-2630/10/11/115039Tichit, P.-H., Burokur, S. N., & de Lustrac, A. (2010). Waveguide taper engineering using coordinate transformation technology. Optics Express, 18(2), 767. doi:10.1364/oe.18.000767Zang, X., & Jiang, C. (2010). Manipulating the field distribution via optical transformation. Optics Express, 18(10), 10168. doi:10.1364/oe.18.010168Chang, Z., Zhou, X., Hu, J., & Hu, G. (2010). Design method for quasi-isotropic transformation materials based on inverse Laplace’s equation with sliding boundaries. Optics Express, 18(6), 6089. doi:10.1364/oe.18.00608