Main Article Content
We investigate light spins for cylindrical electromagnetic waves on resonance. To this goal, we consider both a dielectric cylinder of infinite length immersed in vacuum and a cylindrical hole punched through a dense dielectric medium. In order for waves of constant frequencies to be established through lossless media, energy absorption is allowed in the surrounding medium to compensate for radiation loss. The dispersion relation is then numerically solved for an asymmetry parameter implying a balance in energy exchange. Numerical studies are performed by varying parameters of refractive index contrast, azimuthal mode index, and size parameter of a cylindrical object. The resulting data is presented mostly in terms of a specific spin, defined as light spin per energy density. This specific spin is found to be bounded in its magnitude, with its maximum associated with either optical vortices or large rotations. Depending on parametric combinations, the specific spin could not only undergo finite jumps across the material interface but also exhibit limit behaviors.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
J. D. Jackson, Classical Electrodynamics, 2-nd ed., John Wiley & Sons, 1990.
L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, "Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes", Phys. Rev. A, vol. 45, pp.8185–8189, 1992.
C.-F. Li, "Spin and orbital angular momentum of a class of nonparaxial light beams having a globally defined polarization", Phys. Rev. A, vol.80, pp.063814, 2009.
K. Y. Bliokh, M. A. Alonso, E. A. Ostrovskaya, and A. Aiello, "Angular momenta and spin-orbit interaction of nonparaxial light in free space", Phys. Rev. A, vol.82, pp.063825, 2010.
Y. Tang, A. E. Cohen, "Optical Chirality and Its Interaction with Matter", Phys. Rev. Lett. vol.104, pp.163901, 2010.
K.-Y. Kim, I.-M. Lee, J. Kim, J. Jung, and B. Lee, "Time reversal and the spin angular momentum of transverse-electric and transverse-magnetic surface modes", Phys. Rev. A, vol.86, pp.063805, 2012.
H. Hu, D. Ji, X. Zeng, K. Liu, and Q. Gan, "Rainbow Trapping in Hyperbolic Metamaterial Waveguide", Sci. Rep. vol.3, pp.1249, 2013.
F. L. Kien, P. Schneeweiss, A. Rauschenbeutel, "State-dependent potentials in a nanofiber-based two-color trap for cold atoms", Phys. Rev. A, vol.88, pp.033840, 2013.
J. Petersen, J. Volz, and A. Rauschenbeutel, "Chiral nanophotonic waveguide interface based on spin-orbit interaction of light", Science, vol.346, pp.67-71, 2014.
N. N. Potravkin, E. B. Cherepetskaya, I.A. Perezhogin, and V.A. Makarov, "Ultrashort elliptically polarized laser pulse interaction with helical photonic metamaterial," Opt. Mater. Express, vol.4, pp.2090-2101, 2014.
K.-H. Tsui, Q. Lin, H. Chou, Q. Zhang, H. Fu, P. Qi, and Z. Fan, "Low-Cost, Flexible, and Self-Cleaning 3D Nanocone Anti-Reflection Films for High-Effi ciency Photovoltaics", Adv. Mater., vol.26, pp.2805-2811, 2014.
K. Y. Bliokh, and F. Nori, "Transverse and longitudinal angular momenta of light", Physics Reports, vol.592, pp.1–38, 2015.
G. Milione, T. A. Nguyen, J. Leach, D. A. Nolan, and R. R. Alfano, "Using the nonseparability of vector beams to encode information for optical communication," Opt. Lett., vol.40, pp.4887-4890, 2015.
S. S. Oh, and O. Hess, "Chiral metamaterials: enhancement and control of optical activity and circular dichroism", Nano Convergence, vol.2, pp.24, 2015.
K. Y. Bliokh, and Franco Nori, "Transverse spin of a surface polariton", Phys. Rev. A, vol.85, pp.061801(R), 2012.
K. Y. Bliokh, A. Y. Bekshaev, and F. Nori, "Dual electromagnetism: helicity, spin, momentum and angular momentum", New J. Phys., vol.15, pp.033026, 2013.
H.-I. Lee, and J. Mok, "Cylindrical Electromagnetic Waves with Radiation and Absorption of Energy", Pacific J. Math. For Industry, accepted.
D. E. Chang, A. S. Sorensen, P. R. Hemmer, and M. D. Lukin, "Strong coupling of single emitters to surface plasmons", Phys. Rev. B 76, 035420 (2007).
M. R. Foreman, J. D. Swaim, and F. Vollmer, "Whispering gallery mode sensors," Adv. Opt. Photon., vol.7, pp.168-240, 2015.
I. Mahariq, and H. Kurt, "On- and off-optical-resonance dynamics of dielectric microcylinders under plane wave illumination," J. Opt. Soc. Am. B, vol.32, pp.1022-1030, 2015.
S. H. Schot, "Eighty years of Sommerfeld's radiation condition", Historia Mathematica, vol.19, pp.385-401, 1992.
Igor S Nefedov, Constantinos A Valaginnopoulos and Leonid A Melnikov, "Perfect absorption in grapheme multilayers", J. Opt., vol.15, pp.114003, 2013.
P. Berini, and I. De Leon, "Surface plasmon-polariton amplifiers and lasers", Nature Photon., vol.6, pp.16-24, 2012.
Y. Louyer, D. Meschede, and A. Rauschenbeutel, “Tunable whispering-gallery-mode resonators for cavity quantum electrodynamics”, Phys. Rev. A, vol.72, pp.031801(R), 2005.
M. V. Berry, "Phase vortex spirals", J. Phys. A: Math. Gen., vol.38, pp.L745, 2015.
M. Abramowitz, and N. C. Stegun, Handbook of Mathematical Functions, New York, Dover, 1970.
N. Yu, and F. Capasso, "Flat optics with designer metasurfaces", Nature Materials, vol.13, pp.139–150, 2014.