Abstract

Study of photonic spin-orbital interactions, which involves control of the propagation and spatial distributions of light via its polarization, is not only important at the fundamental level but also has significant implications for functional photonic applications that require active tuning of directional light propagation. Many of the experimental demonstrations have been attributed to the spin-momentum locking characteristic of evanescent waves. In this Letter, we show another property of evanescent waves: the polarization-dependent direction of the imaginary part of the Poynting vector, i.e., reactive power. Based on this property, we propose a simple and robust way to tune the directional far-field scattering from nanoparticles near a surface under evanescent wave illumination by controlling its polarization and direction of the incident light.

© 2018 Optical Society of America

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J. Xiang, J. Li, Z. Zhou, S. Jiang, J. Chen, Q. Dai, S. Tie, S. Lan, and X. Wang, Laser Photon. Rev. 12, 1800032 (2018).
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2017 (3)

L. Wei, N. Bhattacharya, and H. P. Urbach, Opt. Lett. 42, 1776 (2017).
[Crossref]

A. Espinosa-Soria, F. J. Rodríguez-fortuño, A. Griol, and A. Martínez, Nano Lett. 17, 3139 (2017).
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P. Lodahl, S. Mahmoodian, S. Stobbe, A. Rauschenbeutel, P. Schneeweiss, J. Volz, H. Pichler, and P. Zoller, Nature 541, 473 (2017).
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2016 (3)

2015 (7)

R. Alaee, R. Filter, D. Lehr, F. Lederer, and C. Rockstuhl, Opt. Lett. 40, 2645 (2015).
[Crossref]

C. Sayrin, C. Junge, R. Mitsch, B. Albrecht, D. O’Shea, P. Schneeweiss, J. Volz, and A. Rauschenbeutel, Phys. Rev. X 5, 041036 (2015).
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K. Y. Bliokh, F. J. Rodríguez-Fortuño, F. Nori, and A. V. Zayats, Nat. Photonics 9, 796 (2015).
[Crossref]

K. Y. Bliokh and F. Nori, Phys. Rep. 592, 1 (2015).
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A. Aiello, P. Banzer, M. Neugebauer, and G. Leuchs, Nat. Photonics 9, 789 (2015).
[Crossref]

2014 (4)

J. Petersen, J. Volz, and A. Rauschenbeutel, Science 346, 67 (2014).
[Crossref]

D. O’Connor, P. Ginzburg, F. J. Rodríguez-Fortuño, G. A. Wurtz, and A. V. Zayats, Nat. Commun. 5, 5327 (2014).
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[Crossref]

W. Liu, J. Zhang, B. Lei, H. Ma, W. Xie, and H. Hu, Opt. Express 22, 16178 (2014).
[Crossref]

2013 (6)

X. Zambrana-Puyalto, I. Fernandez-Corbaton, M. L. Juan, X. Vidal, and G. Molina-Terriza, Opt. Lett. 38, 1857 (2013).
[Crossref]

F. J. Rodríguez-Fortuño, G. Marino, P. Ginzburg, D. O’Connor, A. Martínez, G. A. Wurtz, and A. V. Zayats, Science 340, 328 (2013).
[Crossref]

J. Lin, J. P. B. Mueller, Q. Wang, G. Yuan, N. Antoniou, X. C. Yuan, and F. Capasso, Science 340, 331 (2013).
[Crossref]

S. Person, M. Jain, Z. Lapin, J. J. Sáenz, G. Wicks, and L. Novotny, Nano Lett. 13, 1806 (2013).
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[Crossref]

I. Staude, A. E. Miroshnichenko, M. Decker, N. T. Fofang, E. Gonzales, J. Dominguez, T. S. Luk, D. N. Neshev, I. Brener, and Y. Kivshar, ACS Nano 7, 7824 (2013).
[Crossref]

2012 (1)

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, Nat. Commun. 3, 1171 (2012).
[Crossref]

2011 (1)

2010 (2)

1983 (1)

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Aiello, A.

A. Aiello, P. Banzer, M. Neugebauer, and G. Leuchs, Nat. Photonics 9, 789 (2015).
[Crossref]

Alaee, R.

Albella, P.

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, Nat. Commun. 3, 1171 (2012).
[Crossref]

Albrecht, B.

C. Sayrin, C. Junge, R. Mitsch, B. Albrecht, D. O’Shea, P. Schneeweiss, J. Volz, and A. Rauschenbeutel, Phys. Rev. X 5, 041036 (2015).
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A. Alù and N. Engheta, J. Nanophoton. 4, 041590 (2010).
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Antoniou, N.

J. Lin, J. P. B. Mueller, Q. Wang, G. Yuan, N. Antoniou, X. C. Yuan, and F. Capasso, Science 340, 331 (2013).
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Bag, A.

M. Neugebauer, P. Woźniak, A. Bag, G. Leuchs, and P. Banzer, Nat. Commun. 7, 11286 (2016).
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Banzer, P.

M. Neugebauer, P. Woźniak, A. Bag, G. Leuchs, and P. Banzer, Nat. Commun. 7, 11286 (2016).
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A. Aiello, P. Banzer, M. Neugebauer, and G. Leuchs, Nat. Photonics 9, 789 (2015).
[Crossref]

Bekshaev, A. Y.

K. Y. Bliokh, A. Y. Bekshaev, and F. Nori, Nat. Commun. 5, 3300 (2014).
[Crossref]

Bhattacharya, N.

Bliokh, K. Y.

K. Y. Bliokh and F. Nori, Phys. Rep. 592, 1 (2015).
[Crossref]

K. Y. Bliokh, D. Smirnova, and F. Nori, Science 348, 1448 (2015).
[Crossref]

K. Y. Bliokh, F. J. Rodríguez-Fortuño, F. Nori, and A. V. Zayats, Nat. Photonics 9, 796 (2015).
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K. Y. Bliokh, A. Y. Bekshaev, and F. Nori, Nat. Commun. 5, 3300 (2014).
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Brener, I.

I. Staude, A. E. Miroshnichenko, M. Decker, N. T. Fofang, E. Gonzales, J. Dominguez, T. S. Luk, D. N. Neshev, I. Brener, and Y. Kivshar, ACS Nano 7, 7824 (2013).
[Crossref]

Capasso, F.

J. Lin, J. P. B. Mueller, Q. Wang, G. Yuan, N. Antoniou, X. C. Yuan, and F. Capasso, Science 340, 331 (2013).
[Crossref]

Cardano, F.

F. Cardano and L. Marrucci, Nat. Photonics 9, 776 (2015).
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Chantada, L.

Chen, J.

J. Xiang, J. Li, Z. Zhou, S. Jiang, J. Chen, Q. Dai, S. Tie, S. Lan, and X. Wang, Laser Photon. Rev. 12, 1800032 (2018).
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Dai, Q.

J. Xiang, J. Li, Z. Zhou, S. Jiang, J. Chen, Q. Dai, S. Tie, S. Lan, and X. Wang, Laser Photon. Rev. 12, 1800032 (2018).
[Crossref]

Decker, M.

I. Staude, A. E. Miroshnichenko, M. Decker, N. T. Fofang, E. Gonzales, J. Dominguez, T. S. Luk, D. N. Neshev, I. Brener, and Y. Kivshar, ACS Nano 7, 7824 (2013).
[Crossref]

Dominguez, J.

I. Staude, A. E. Miroshnichenko, M. Decker, N. T. Fofang, E. Gonzales, J. Dominguez, T. S. Luk, D. N. Neshev, I. Brener, and Y. Kivshar, ACS Nano 7, 7824 (2013).
[Crossref]

Engheta, N.

A. Alù and N. Engheta, J. Nanophoton. 4, 041590 (2010).
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Espinosa-Soria, A.

A. Espinosa-Soria, F. J. Rodríguez-fortuño, A. Griol, and A. Martínez, Nano Lett. 17, 3139 (2017).
[Crossref]

Eyraud, C.

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, Nat. Commun. 3, 1171 (2012).
[Crossref]

Fernandez-Corbaton, I.

Filter, R.

Fofang, N. T.

I. Staude, A. E. Miroshnichenko, M. Decker, N. T. Fofang, E. Gonzales, J. Dominguez, T. S. Luk, D. N. Neshev, I. Brener, and Y. Kivshar, ACS Nano 7, 7824 (2013).
[Crossref]

Froufe-Pérez, L. S.

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, Nat. Commun. 3, 1171 (2012).
[Crossref]

Fu, Y. H.

Y. H. Fu, A. I. Kuznetsov, A. E. Miroshnichenko, Y. F. Yu, and B. Luk’yanchuk, Nat. Commun. 4, 1527 (2013).
[Crossref]

García-Cámara, B.

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, Nat. Commun. 3, 1171 (2012).
[Crossref]

Geffrin, J. M.

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, Nat. Commun. 3, 1171 (2012).
[Crossref]

Giles, C. L.

Ginzburg, P.

D. O’Connor, P. Ginzburg, F. J. Rodríguez-Fortuño, G. A. Wurtz, and A. V. Zayats, Nat. Commun. 5, 5327 (2014).
[Crossref]

F. J. Rodríguez-Fortuño, G. Marino, P. Ginzburg, D. O’Connor, A. Martínez, G. A. Wurtz, and A. V. Zayats, Science 340, 328 (2013).
[Crossref]

Gomez-Medina, R.

Gómez-Medina, R.

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, Nat. Commun. 3, 1171 (2012).
[Crossref]

M. Nieto-Vesperinas, J. J. Sáenz, R. Gómez-Medina, and L. Chantada, Opt. Express 18, 11428 (2010).
[Crossref]

Gonzales, E.

I. Staude, A. E. Miroshnichenko, M. Decker, N. T. Fofang, E. Gonzales, J. Dominguez, T. S. Luk, D. N. Neshev, I. Brener, and Y. Kivshar, ACS Nano 7, 7824 (2013).
[Crossref]

González, F.

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, Nat. Commun. 3, 1171 (2012).
[Crossref]

Griol, A.

A. Espinosa-Soria, F. J. Rodríguez-fortuño, A. Griol, and A. Martínez, Nano Lett. 17, 3139 (2017).
[Crossref]

Hu, H.

Jackson, J. D.

J. D. Jackson, Classical Electrodynamics, 3rd ed. (1999).

Jacob, Z.

Jain, M.

S. Person, M. Jain, Z. Lapin, J. J. Sáenz, G. Wicks, and L. Novotny, Nano Lett. 13, 1806 (2013).
[Crossref]

Jiang, S.

J. Xiang, J. Li, Z. Zhou, S. Jiang, J. Chen, Q. Dai, S. Tie, S. Lan, and X. Wang, Laser Photon. Rev. 12, 1800032 (2018).
[Crossref]

Juan, M. L.

Junge, C.

C. Sayrin, C. Junge, R. Mitsch, B. Albrecht, D. O’Shea, P. Schneeweiss, J. Volz, and A. Rauschenbeutel, Phys. Rev. X 5, 041036 (2015).
[Crossref]

Kerker, M.

Kivshar, Y.

I. Staude, A. E. Miroshnichenko, M. Decker, N. T. Fofang, E. Gonzales, J. Dominguez, T. S. Luk, D. N. Neshev, I. Brener, and Y. Kivshar, ACS Nano 7, 7824 (2013).
[Crossref]

Kivshar, Y. S.

Kuznetsov, A. I.

Y. H. Fu, A. I. Kuznetsov, A. E. Miroshnichenko, Y. F. Yu, and B. Luk’yanchuk, Nat. Commun. 4, 1527 (2013).
[Crossref]

Lan, S.

J. Xiang, J. Li, Z. Zhou, S. Jiang, J. Chen, Q. Dai, S. Tie, S. Lan, and X. Wang, Laser Photon. Rev. 12, 1800032 (2018).
[Crossref]

Lapin, Z.

S. Person, M. Jain, Z. Lapin, J. J. Sáenz, G. Wicks, and L. Novotny, Nano Lett. 13, 1806 (2013).
[Crossref]

Lederer, F.

Lehr, D.

Lei, B.

Leuchs, G.

M. Neugebauer, P. Woźniak, A. Bag, G. Leuchs, and P. Banzer, Nat. Commun. 7, 11286 (2016).
[Crossref]

A. Aiello, P. Banzer, M. Neugebauer, and G. Leuchs, Nat. Photonics 9, 789 (2015).
[Crossref]

Li, J.

J. Xiang, J. Li, Z. Zhou, S. Jiang, J. Chen, Q. Dai, S. Tie, S. Lan, and X. Wang, Laser Photon. Rev. 12, 1800032 (2018).
[Crossref]

Lin, J.

J. Lin, J. P. B. Mueller, Q. Wang, G. Yuan, N. Antoniou, X. C. Yuan, and F. Capasso, Science 340, 331 (2013).
[Crossref]

Litman, A.

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, Nat. Commun. 3, 1171 (2012).
[Crossref]

Liu, W.

Lodahl, P.

P. Lodahl, S. Mahmoodian, S. Stobbe, A. Rauschenbeutel, P. Schneeweiss, J. Volz, H. Pichler, and P. Zoller, Nature 541, 473 (2017).
[Crossref]

Luk, T. S.

I. Staude, A. E. Miroshnichenko, M. Decker, N. T. Fofang, E. Gonzales, J. Dominguez, T. S. Luk, D. N. Neshev, I. Brener, and Y. Kivshar, ACS Nano 7, 7824 (2013).
[Crossref]

Luk’yanchuk, B.

Y. H. Fu, A. I. Kuznetsov, A. E. Miroshnichenko, Y. F. Yu, and B. Luk’yanchuk, Nat. Commun. 4, 1527 (2013).
[Crossref]

Ma, H.

Mahmoodian, S.

P. Lodahl, S. Mahmoodian, S. Stobbe, A. Rauschenbeutel, P. Schneeweiss, J. Volz, H. Pichler, and P. Zoller, Nature 541, 473 (2017).
[Crossref]

Marino, G.

F. J. Rodríguez-Fortuño, G. Marino, P. Ginzburg, D. O’Connor, A. Martínez, G. A. Wurtz, and A. V. Zayats, Science 340, 328 (2013).
[Crossref]

Marrucci, L.

F. Cardano and L. Marrucci, Nat. Photonics 9, 776 (2015).
[Crossref]

Martínez, A.

A. Espinosa-Soria, F. J. Rodríguez-fortuño, A. Griol, and A. Martínez, Nano Lett. 17, 3139 (2017).
[Crossref]

F. J. Rodríguez-Fortuño, G. Marino, P. Ginzburg, D. O’Connor, A. Martínez, G. A. Wurtz, and A. V. Zayats, Science 340, 328 (2013).
[Crossref]

Miroshnichenko, A. E.

Y. H. Fu, A. I. Kuznetsov, A. E. Miroshnichenko, Y. F. Yu, and B. Luk’yanchuk, Nat. Commun. 4, 1527 (2013).
[Crossref]

I. Staude, A. E. Miroshnichenko, M. Decker, N. T. Fofang, E. Gonzales, J. Dominguez, T. S. Luk, D. N. Neshev, I. Brener, and Y. Kivshar, ACS Nano 7, 7824 (2013).
[Crossref]

Mitsch, R.

C. Sayrin, C. Junge, R. Mitsch, B. Albrecht, D. O’Shea, P. Schneeweiss, J. Volz, and A. Rauschenbeutel, Phys. Rev. X 5, 041036 (2015).
[Crossref]

Molina-Terriza, G.

Moreno, F.

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, Nat. Commun. 3, 1171 (2012).
[Crossref]

Mueller, J. P. B.

J. Lin, J. P. B. Mueller, Q. Wang, G. Yuan, N. Antoniou, X. C. Yuan, and F. Capasso, Science 340, 331 (2013).
[Crossref]

Neshev, D. N.

I. Staude, A. E. Miroshnichenko, M. Decker, N. T. Fofang, E. Gonzales, J. Dominguez, T. S. Luk, D. N. Neshev, I. Brener, and Y. Kivshar, ACS Nano 7, 7824 (2013).
[Crossref]

Neugebauer, M.

M. Neugebauer, P. Woźniak, A. Bag, G. Leuchs, and P. Banzer, Nat. Commun. 7, 11286 (2016).
[Crossref]

A. Aiello, P. Banzer, M. Neugebauer, and G. Leuchs, Nat. Photonics 9, 789 (2015).
[Crossref]

Nieto-Vesperinas, M.

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, Nat. Commun. 3, 1171 (2012).
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I. Staude, A. E. Miroshnichenko, M. Decker, N. T. Fofang, E. Gonzales, J. Dominguez, T. S. Luk, D. N. Neshev, I. Brener, and Y. Kivshar, ACS Nano 7, 7824 (2013).
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Laser Photon. Rev. (1)

J. Xiang, J. Li, Z. Zhou, S. Jiang, J. Chen, Q. Dai, S. Tie, S. Lan, and X. Wang, Laser Photon. Rev. 12, 1800032 (2018).
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S. Person, M. Jain, Z. Lapin, J. J. Sáenz, G. Wicks, and L. Novotny, Nano Lett. 13, 1806 (2013).
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A. Espinosa-Soria, F. J. Rodríguez-fortuño, A. Griol, and A. Martínez, Nano Lett. 17, 3139 (2017).
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M. Neugebauer, P. Woźniak, A. Bag, G. Leuchs, and P. Banzer, Nat. Commun. 7, 11286 (2016).
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Y. H. Fu, A. I. Kuznetsov, A. E. Miroshnichenko, Y. F. Yu, and B. Luk’yanchuk, Nat. Commun. 4, 1527 (2013).
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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, Nat. Commun. 3, 1171 (2012).
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D. O’Connor, P. Ginzburg, F. J. Rodríguez-Fortuño, G. A. Wurtz, and A. V. Zayats, Nat. Commun. 5, 5327 (2014).
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K. Y. Bliokh, A. Y. Bekshaev, and F. Nori, Nat. Commun. 5, 3300 (2014).
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F. Cardano and L. Marrucci, Nat. Photonics 9, 776 (2015).
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K. Y. Bliokh, F. J. Rodríguez-Fortuño, F. Nori, and A. V. Zayats, Nat. Photonics 9, 796 (2015).
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A. Aiello, P. Banzer, M. Neugebauer, and G. Leuchs, Nat. Photonics 9, 789 (2015).
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Nature (1)

P. Lodahl, S. Mahmoodian, S. Stobbe, A. Rauschenbeutel, P. Schneeweiss, J. Volz, H. Pichler, and P. Zoller, Nature 541, 473 (2017).
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Opt. Express (3)

Opt. Lett. (4)

Optica (1)

Phys. Rep. (1)

K. Y. Bliokh and F. Nori, Phys. Rep. 592, 1 (2015).
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Phys. Rev. Lett. (1)

M. F. Picardi, A. V. Zayats, and F. J. Rodríguez-Fortuño, Phys. Rev. Lett. 120, 117402 (2018).
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Phys. Rev. X (1)

C. Sayrin, C. Junge, R. Mitsch, B. Albrecht, D. O’Shea, P. Schneeweiss, J. Volz, and A. Rauschenbeutel, Phys. Rev. X 5, 041036 (2015).
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Science (4)

K. Y. Bliokh, D. Smirnova, and F. Nori, Science 348, 1448 (2015).
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F. J. Rodríguez-Fortuño, G. Marino, P. Ginzburg, D. O’Connor, A. Martínez, G. A. Wurtz, and A. V. Zayats, Science 340, 328 (2013).
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J. Lin, J. P. B. Mueller, Q. Wang, G. Yuan, N. Antoniou, X. C. Yuan, and F. Capasso, Science 340, 331 (2013).
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J. Petersen, J. Volz, and A. Rauschenbeutel, Science 346, 67 (2014).
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Figures (3)

Fig. 1.
Fig. 1. Core-shell nanoparticle on an air–dielectric interface with a substrate of refractive index n=2 and illuminated by (a) TM-polarized plane waves and (b) TE-polarized plane waves incident from the substrate above the critical angle.
Fig. 2.
Fig. 2. Poynting vector of the scattered field (total field with the particle minus the field of only air–dielectric interface) in the natural logarithm scale ln|R{S}| of the core-shell nanoparticle with (a) TE-polarized and (b) TM-polarized light illumination with k=2k0 from the substrate. The black line at z=0  nm in (a) and (b) denotes the air–dielectric interface. (c). Scattering patterns in the yz plane with natural logarithm scale of the scattering power (in arbitrary units) of the core-shell nanoparticle with, respectively, TE and TM evanescent wave excitation.
Fig. 3.
Fig. 3. (a). Amplitude and phase of the ratio of the magnetic and electric dipole coefficients b1/a1 of a dielectric nanosphere with refractive index 3.7 and radius 100 nm. (b) Scattering power spectrum along ±z^ directions when the nanosphere is illuminated by TE and TM evanescent waves with k=2sin(33.5°).

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

Es(r)=(Es,0,0)exp(ikyγzz),Hs(r)=(0,iγzk0EsZ0,kk0EsZ0)exp(ikyγzz),
Ep(r)=(0,iγzk0Ep,kk0Ep)exp(ikyγzz),Hp(r)=(Ep/Z0,0,0)exp(ikyγzz).
Ss(r)=[(kk0Es2Z0)y^i(γzk0Es2Z0)z^]exp(2γzz),Sp(r)=[(kk0Ep2Z0)y^+i(γzk0Ep2Z0)z^]exp(2γzz).
Sz=iω2γz(B·H*E·D*)=iω2γz(μ|H|2ε*|E|2),