Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Mie voids as broadband directional light sources

Benjamin Reichel1,*, Adrià Canós Valero2, Mario Hentschel1, Harald Giessen1, and Thomas Weiss2

  • *Contact author: benjamin.reichel@pi4.uni-stuttgart.de

Phys. Rev. B 114, 065421 – Published 21 July, 2026

DOI: https://doi.org/10.1103/v2b8-j986

Abstract

The Kerker effect arises from the interference between electric and magnetic multipoles, enabling directional light scattering in nanophotonics. However, conventional dielectric and plasmonic nanoparticles can only act as Kerker sources in narrow spectral regions, limiting their applicability. Here, we show that the recently discovered Mie voids overcome this limitation by supporting a broadband generalized Kerker effect spanning the whole visible range. We investigate the optical response of Mie voids under both plane-wave and dipolar excitation. For plane waves, the voids preferentially scatter light in the forward direction. Under dipolar excitation, the resulting radiation emission toward the void and beyond is suppressed due to destructive interference between the dipole field and the directional scattered field of the void. These findings identify Mie voids as versatile broadband directional sources, opening pathways for antenna design and energy harvesting at the nanoscale.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (57)

  1. M. Kerker, D.-S. Wang, and C. L. Giles, Electromagnetic scattering by magnetic spheres, J. Opt. Soc. Am. 73, 765 (1983).
  2. W. Liu and Y. S. Kivshar, Generalized Kerker effects in nanophotonics and meta-optics, Opt. Express 26, 13085 (2018).
  3. W. Liu, Ultra-directional super-scattering of homogenous spherical particles with radial anisotropy, Opt. Express 23, 14734 (2015).
  4. E. Zanganeh, Z. Sadrieva, P. Kapitanova, and A. Bogdanov, High-q Mie resonators for refractive-index sensing, Phys. Rev. Appl. 21, 024028 (2024).
  5. R. Verre, D. G. Baranov, B. Munkhbat, J. Cuadra, M. Käll, and T. Shegai, Transition metal dichalcogenide nanodisks as high-index dielectric Mie nanoresonators, Nat. Nanotechnol. 14, 679 (2019).
  6. T. D. Green, D. G. Baranov, B. Munkhbat, R. Verre, T. Shegai, and M. Käll, Optical material anisotropy in high-index transition metal dichalcogenide Mie nanoresonators, Optica 7, 680 (2020).
  7. J. Pendry, A. Holden, D. Robbins, and W. Stewart, Magnetism from conductors and enhanced nonlinear phenomena, IEEE Trans. Microwave Theory Tech. 47, 2075 (1999).
  8. Q. Zhao, J. Zhou, F. Zhang, and D. Lippens, Mie resonance-based dielectric metamaterials, Mater. Today 12, 60 (2009).
  9. A. I. Kuznetsov, A. E. Miroshnichenko, Y. H. Fu, J. Zhang, and B. Luk'yanchuk, Magnetic light, Sci. Rep. 2, 492 (2012).
  10. A. B. Evlyukhin, S. M. Novikov, U. Zywietz, R. L. Eriksen, C. Reinhardt, S. I. Bozhevolnyi, and B. N. Chichkov, Demonstration of magnetic dipole resonances of dielectric nanospheres in the visible region, Nano Lett. 12, 3749 (2012).
  11. W. Liu, A. E. Miroshnichenko, and Y. S. Kivshar, Control of light scattering by nanoparticles with optically-induced magnetic responses, Chin. Phys. B 23, 047806 (2014).
  12. J. M. Geffrin, B. García-Cámara, R. Gómez-Medina, P. Albella, L. S. Froufe-Pérez, C. Eyraud, A. Litman, R. Vaillon, F. González, M. Nieto-Vesperinas, J. J. Sáenz, and F. Moreno, Magnetic and electric coherence in forward- and back-scattered electromagnetic waves by a single dielectric subwavelength sphere, Nat. Commun. 3, 1171 (2012).
  13. Y. H. Fu, A. I. Kuznetsov, A. E. Miroshnichenko, Y. F. Yu, and B. Luk'yanchuk, Directional visible light scattering by silicon nanoparticles, Nat. Commun. 4, 1527 (2013).
  14. S. Person, M. Jain, Z. Lapin, J. J. Sáenz, G. Wicks, and L. Novotny, Demonstration of zero optical backscattering from single nanoparticles, Nano Lett. 13, 1806 (2013).
  15. K. Achouri and O. J. F. Martin, Fundamental properties and classification of polarization converting bianisotropic metasurfaces, IEEE Trans. Antennas Propag. 69, 5653 (2021).
  16. P. D. Terekhov, H. K. Shamkhi, E. A. Gurvitz, K. V. Baryshnikova, A. B. Evlyukhin, A. S. Shalin, and A. Karabchevsky, Evolution of multipole moments in silicon nanocylinder while varying the refractive index of surrounding medium, J. Phys.: Conf. Ser. 1461, 012176 (2020).
  17. Y. Kivshar, All-dielectric meta-optics and non-linear nanophotonics, Natl. Sci. Rev. 5, 144 (2018).
  18. D. Shakirova, D. Dobrykh, S. Krasikov, A. Mikhailovskaya, I. Yusupov, A. Slobozhanyuk, K. Ladutenko, D. Filonov, A. Bogdanov, and P. Ginzburg, Generalized Kerker effect in dielectric antennas for enhanced backscattering modulation, J. Phys.: Conf. Ser. 2015, 012136 (2021).
  19. W. Liu, J. Zhang, B. Lei, H. Ma, W. Xie, and H. Hu, Ultra-directional forward scattering by individual core-shell nanoparticles, Opt. Express 22, 16178 (2014).
  20. A. I. Kuznetsov, A. E. Miroshnichenko, M. L. Brongersma, Y. S. Kivshar, and B. Luk'yanchuk, Optically resonant dielectric nanostructures, Science 354, aag2472 (2016).
  21. W. Liu and Y. S. Kivshar, Multipolar interference effects in nanophotonics, Philos. Trans. R. Soc. A 375, 20160317 (2017).
  22. I. Staude and J. Schilling, Metamaterial-inspired silicon nanophotonics, Nat. Photon. 11, 274 (2017).
  23. Y. Kivshar and A. E. Miroshnichenko, Meta-optics with Mie resonances, Opt. Photon. News 28, 24 (2017).
  24. Z.-J. Yang, R. Jiang, X. Zhuo, Y.-M. Xie, J. Wang, and H.-Q. Lin, Dielectric nanoresonators for light manipulation, Phys. Rep. 701, 1 (2017).
  25. S. Kruk and Y. Kivshar, Functional meta-optics and nanophotonics governed by Mie resonances, ACS Photon. 4, 2638 (2017).
  26. F. Ding, A. Pors, and S. I. Bozhevolnyi, Gradient metasurfaces: A review of fundamentals and applications, Rep. Prog. Phys. 81, 026401 (2018).
  27. M. Neugebauer, P. Woźniak, A. Bag, G. Leuchs, and P. Banzer, Polarization-controlled directional scattering for nanoscopic position sensing, Nat. Commun. 7, 11286 (2016).
  28. K. Achouri and O. Martin, Multipolar modeling of spatially dispersive metasurfaces, IEEE Trans. Antennas Propag. 70, 11946 (2022).
  29. R. Alaee, R. Filter, D. Lehr, F. Lederer, and C. Rockstuhl, A generalized Kerker condition for highly directive nanoantennas, Opt. Lett. 40, 2645 (2015).
  30. I. M. Hancu, A. G. Curto, M. Castro-López, M. Kuttge, and N. F. van Hulst, Multipolar interference for directed light emission, Nano Lett. 14, 166 (2014).
  31. J. Li, N. Verellen, D. Vercruysse, T. Bearda, L. Lagae, and P. Van Dorpe, All-dielectric antenna wavelength router with bidirectional scattering of visible light, Nano Lett. 16, 4396 (2016).
  32. I. Staude, A. E. Miroshnichenko, M. Decker, N. T. Fofang, S. Liu, E. Gonzales, J. Dominguez, T. S. Luk, D. N. Neshev, I. Brener, and Y. Kivshar, Tailoring directional scattering through magnetic and electric resonances in subwavelength silicon nanodisks, ACS Nano 7, 7824 (2013).
  33. B. S. Luk'yanchuk, N. V. Voshchinnikov, R. Paniagua-Domínguez, and A. I. Kuznetsov, Optimum forward light scattering by spherical and spheroidal dielectric nanoparticles with high refractive index, ACS Photon. 2, 993 (2015).
  34. S. A. Mann, R. R. Grote, R. M. Osgood, and J. A. Schuller, Dielectric particle and void resonators for thin film solar cell textures, Opt. Express 19, 25729 (2011).
  35. M. Hentschel, K. Koshelev, F. Sterl, S. Both, J. Karst, L. Shamsafar, T. Weiss, Y. Kivshar, and H. Giessen, Dielectric Mie voids: Confining light in air, Light Sci. Appl. 12, 3 (2023).
  36. S. Arslan, S. B. Sulejman, S. Klein, J. Haehner, J. Schwab, D. Ludescher, L. Wesemann, A. Roberts, H. Giessen, and M. Hentschel, Polarization-dependent elliptical and rectangular Mie voids, Small 22, e11992 (2026).
  37. D. Ludescher, L. Wesemann, J. Schwab, J. Karst, S. B. Sulejman, M. Ubl, B. O. Clarke, A. Roberts, H. Giessen, and M. Hentschel, Optical sieve for nanoplastic detection, sizing and counting, Nat. Photon. 19, 1138 (2025).
  38. M. Hamidi, K. Koshelev, S. Gladyshev, A. C. Valero, M. Hentschel, H. Giessen, Y. Kivshar, and T. Weiss, Quasi-Babinet principle in dielectric resonators and Mie voids, Phys. Rev. Res. 7, 013136 (2025).
  39. E. M. Purcell, Spontaneous emission probabilities at radio frequencies, Phys. Rev. 69, 37 (1946).
  40. L. Novotny and B. Hecht, Principles of Nano-Optics, 2nd ed. (Cambridge University Press, 2012).
  41. K. Busch, N. Vats, S. John, and B. C. Sanders, Radiating dipoles in photonic crystals, Phys. Rev. E 62, 4251 (2000).
  42. J. D. Jackson, Classical Electrodynamics, 3rd ed. (Wiley, New York, 1998).
  43. G. Mie, Beiträge zur optik trüber medien, speziell kolloidaler metallösungen, Ann. Phys. (Berlin, Ger.) 330, 377 (1908).
  44. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley-Interscience, New York, 1983), Chaps. 3 and 4, pp. 57–129.
  45. U. Hohenester, Appendix E: Mie theory, in Nano and Quantum Optics: An Introduction to Basic Principles and Theory (Springer International Publishing, Cham, 2020), pp. 627–644.
  46. R. Dezert, Theoretical study of isotropic Huygens particles for metasurfaces, Ph.D. thesis, Université de Bordeaux, 2019.
  47. I. Toftul, G. Fedorovich, D. Kislov, K. Frizyuk, K. Koshelev, Y. Kivshar, and M. Petrov, Nonlinearity-induced optical torque, Phys. Rev. Lett. 130, 243802 (2023).
  48. P. D. Terekhov, H. K. Shamkhi, E. A. Gurvitz, K. V. Baryshnikova, A. B. Evlyukhin, A. S. Shalin, and A. Karabchevsky, Broadband forward scattering from dielectric cubic nanoantenna in lossless media, Opt. Express 27, 10924 (2019).
  49. G. Gouesbet and G. Gréhan, Generalized Lorenz-Mie theory in the strict sense, and other GLMTs, in Generalized Lorenz-Mie Theories (Springer International Publishing, Cham, 2023), pp. 41–91.
  50. H. C. van de Hulst, Light Scattering by Small Particles (Dover Publications, New York, 1981).
  51. S. Arslan, M. Kappel, A. Canós Valero, T. T. H. Tran, J. Karst, P. Christ, U. Hohenester, T. Weiss, H. Giessen, and M. Hentschel, Attoliter Mie void sensing, ACS Photon. 12, 3950 (2025).
  52. S. Gladyshev, O. Pashina, A. Proskurin, A. Nikolaeva, Z. Sadrieva, M. Petrov, A. Bogdanov, and K. Frizyuk, Fast simulation of light scattering and harmonic generation in axially symmetric structures in COMSOL, ACS Photon. 11, 404 (2024).
  53. J. Olmos-Trigo, D. R. Abujetas, C. Sanz-Fernández, J. A. Sánchez-Gil, and J. J. Sáenz, Optimal backward light scattering by dipolar particles, Phys. Rev. Res. 2, 013225 (2020).
  54. N. Granzow, M. A. Schmidt, W. Chang, L. Wang, Q. Coulombier, J. Troles, P. Toupin, I. Hartl, K. F. Lee, M. E. Fermann, L. Wondraczek, and P. S. Russell, Mid-infrared supercontinuum generation in As2S3-silica “nano-spike” step-index waveguide, Opt. Express 21, 10969 (2013).
  55. R. Sun, M. Beals, A. Pomerene, J. Cheng, C.-Y. Hong, L. Kimerling, and J. Michel, Impedance matching vertical optical waveguide couplers for dense high index contrast circuits, Opt. Express 16, 11682 (2008).
  56. H. Chew, Transition rates of atoms near spherical surfaces, J. Chem. Phys. 87, 1355 (1987).
  57. H. Chew, P. J. McNulty, and M. Kerker, Model for Raman and fluorescent scattering by molecules embedded in small particles, Phys. Rev. A 13, 396 (1976).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation