Abstract
The properties of vector vortex beams in vertical-cavity-surface emitting lasers with frequency-selective feedback are investigated. They are interpreted as high-order vortex solitons with a spatially non-uniform, but locally linear polarization state. In contrast to most schemes to obtain vector vortex beams relying on imprinting the polarization structure, vector vortex solitons form spontaneously due to the near polarization degeneracy in vertical-cavity devices. We observe radially, hyperbolic and spiral polarization configurations depending on small residual anisotropies in the system and multi-stability between different states. In addition, we demonstrate flip-flop operation of laser solitons via in principle local electronic nonlinearities. Combining the two themes might open up a route for a simple device enabling fast switching between different vector vortex beams for applications. The investigations connect nicely the fields of nonlinear science, singular optics, structured light and semiconductor laser technology.
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References
J.S. Russel, Brit. Assoc. Adv. Sci. pp. 311–392 (1844). Report on 14th meeting. Marray, London.
A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23, 142 (1973)
L.F. Mollenauer, R.H. Stolen, J.P. Gordon, Phys. Rev. Lett. 45, 1095 (1980)
R.Y. Chiao, E. Garmire, C.H. Townes, Phys. Rev. Lett. 13, 479 (1964)
J.E. Bjorkholm, A. Ashkin, Phys. Rev. Lett. 32, 129 (1974)
L. Bergé, Phys. Rep. 303, 259 (1998)
N.N. Rosanov, V.A. Smirnov, N.V. Vyssotina, Chaos, Solitons & Fractals 4, 1767 (1994)
V. Tikhonenko, J. Christou, B. Luther-Daves, J. Opt. Soc. Am. B 12, 2046 (1995)
W.J. Firth, D.V. Skryabin, Phys. Rev. Lett. 79, 2450 (1997)
N. Akhmediev, A. Ankiewicz, Dissipative solitons, Lecture Notes in Physics, vol. 661 (Springer, Berlin, 2005)
N.N. Akhmediev, J.M. Soto-Crespo, P. Grelu, Chaos 17, 037112 (2007)
M. Tlidi, P. Mandel, R. Lefever, Phys. Rev. Lett. 73, 640 (1994)
W.J. Firth, A. Lord, J. Nonlinear Optical Physics & Materials 7, 255 (1998)
L.A. Lugiato, R. Lefever, Phys. Rev. Lett. 58, 2209 (1987)
W.J. Firth, A. Lord, J. Mod. Opt. 43, 1071 (1996)
S.V. Fedorov, G.V. Khodova, N.N. Rosanov, Proc. SPIE 1840, 208 (1991)
N.N. Rosanov, S.V. Fedorov, Opt. Spectr. 72, 782 (1992)
V.Y. Bazhenov, V.B. Taranenko, M.V. Vasnetsov, Proc. SPIE 1840, 183 (1991)
S.V. Fedorov, N.N. Rosanov, A.N. Shatsev, N.A. Veretenov, A.G. Vladimirov, IEEE J. Quantum Electron. 39, 197 (2003)
N.N. Rosanov, S.V. Fedorov, A.N. Shatsev, Phys. Rev. Lett. 95, 053903 (2005)
P. Genevet, S. Barland, M. Giudici, J.R. Tredicce, Phys. Rev. Lett. 104, 223902 (2010)
K. Iga, IEEE J. Selec. Top. Quantum Electron. 6(6), 1201 (2000)
M. Grabherr, R. Jäger, M. Miller, C. Thalmaier, J. Herlein, K.J. Ebeling, IEEE Photon. Technol. Lett. 10, 1061 (1998)
M. Grabherr, M. Miller, R. Jäger, R. Michalzik, U. Martin, H.J. Unold, K.J. Ebeling, IEEE J. Sel. Top. Quantum Electron. 5, 495 (1999)
L.C. Crasovan, B.A. Malomed, D. Mihalache, Phys. Rev. E 63, 016605 (2000)
D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, B.A. Malomed, Phys. Rev. A 77, 033817 (2008)
P.V. Paulau, D. Gomila, P. Colet, N.A. Loiko, N.N. Rosanov, T. Ackemann, W.J. Firth, Opt. Exp. 18, 8859 (2010)
P.V. Paulau, D. Gomila, P. Colet, B.A. Malomed, W.J. Firth, Phys. Rev. E 84, 036213 (2011)
Y. Tanguy, T. Ackemann, W.J. Firth, R. Jäger, Phys. Rev. Lett. 100, 013907 (2008)
Y. Tanguy, N. Radwell, T. Ackemann, R. Jäger, Phys. Rev. A 78, 023810 (2008). https://doi.org/10.1103/PhysRevA.78.023810
N. Radwell, T. Ackemann, IEEE J. Quantum Electron. 45, 1388 (2009)
J. Jimenez, Y. Noblet, P.V. Paulau, D. Gomila, T. Ackemann, J. Opt. 15, 044011 (2013)
M. Haelterman, A.P. Sheppard, Opt. Lett. 19, 96 (1994)
G.L. Oppo, A.J. Scroggie, W.J. Firth, J. Opt. B: Quantum Semiclass. Opt. 1, 133 (1999)
M. Gilles, P.Y. Bony, J. Garnier, A. Picozzi, M. Guasoni, J. Fatome, Nature Phot. 11, 102 (2017)
M. Pesch, E. Große Westhoff, T. Ackemann, W. Lange, Phys. Rev. Lett. 95, 143906 (2005)
G. Milione, H.I. Sztul, D.A. Nolan, R.R. Alfano, Phys. Rev. Lett. 107, 053601 (2011)
C.E.R. Souza, J.A.O. Huguenin, A.Z. Khoury, J. Opt. Soc. Am. A 31, 1007 (2014)
J. Jimenez, P. Rodriguez, T. Guillet, T. Ackemann, Phys. Rev. Lett. 119, 113902 (2017). https://doi.org/10.1103/PhysRevLett.119.113902
K.D. Choquette, D.A. Richie, R.E. Leibenguth, Appl. Phys. Lett. 64, 2062 (1994)
M. San Miguel, Q. Feng, J.V. Moloney, Phys. Rev. A 52, 1728 (1995)
M.P.v. Exter, M.B. Willemsen, J.P. Woerdman, Phys. Rev. A 58, 4191 (1998)
M. San Miguel, S. Balle, J. Mulet, C. Mirasso, E. Tolkachova, J.R. Tredicce, Proc. SPIE 3944, 242 (2000)
T. Ackemann, M. Sondermann, Polarization dynamics in vertical-cavity surface emitting lasers. (Research Signpost, Keralia, 2005), pp. 82–110
F. Prati, G. Tissoni, M.S. Miguel, N.B. Abraham, Opt. Commun. 143, 133 (1997)
T. Mayteevarunyoo, B.A. Malomed, D.V. Skryabin, New J. Phys. 20, 113019 (2018)
A.A. Ishaaya, L.T. Vuong, T.D. Grow, A.L. Gaeta, Opt. Lett. 33, 13 (2008)
F. Bouchard, H. Larocque, A.M. Yao, C. Travis, I. De Leon, A. Rubano, E. Karimi, G.L. Oppo, R.W. Boyd, Phys. Rev. Lett. 117, 233903 (2016)
A. Ciattoni, B. Crosignani, P. Di Porto, A. Yariv, Phys. Rev. Lett. 94, 073902 (2005)
W.J. Firth, A.J. Scroggie, Phys. Rev. Lett. 76, 1623 (1996)
M. Brambilla, L.A. Lugiato, M. Stefani, Europhys. Lett. 34, 109 (1996)
L. Spinelli, G. Tissoni, M. Brambilla, F. Prati, L.A. Lugiato, Phys. Rev. A 58, 2542 (1998)
S. Barland, J.R. Tredicce, M. Brambilla, L.A. Lugiato, S. Balle, M. Giudici, T. Maggipinto, L. Spinelli, G. Tissoni, T. Knödel, M. Miller, R. Jäger, Nature 419, 699 (2002)
Y. Tanguy, T. Ackemann, R. Jäger, Opt. Exp. 15, 16773 (2007)
P. Genevet, S. Barland, M. Giudici, J.R. Tredicce, Phys. Rev. Lett. 101, 123905 (2008)
T. Elsass, K. Gauthron, G. Beaudoin, I. Sagnes, R. Kuszelewicz, S. Barbay, Appl. Phys. B 98, 327 (2010)
M. Kreuzer, W. Balzer, T. Tschudi, Appl. Opt. 29, 579 (1990)
M. Kreuzer, A. Schreiber, B. Thüring, Mol. Cryst. Liq. Cryst. 282, 91 (1996)
B. Schäpers, T. Ackemann, J.P. Seipenbusch, W. Lange, J. Opt. B: Quantum Semiclass. Opt. 1, 58 (1999)
X. Hachair, S. Barland, L. Furfaro, M. Giudici, S. Balle, J. Tredicce, M. Brambilla, T. Maggipinto, I.M. Perrini, G. Tissoni, L. Lugiato, Phys. Rev. A 69, 043817 (2004)
A.J. Scroggie, W.J. Firth, G.L. Oppo, Phys. Rev. A 80, 013829 (2009)
J. Jimenez, G.L. Oppo, T. Ackemann, J. Phys. D 49, 095110 (2016)
C.H. Henry, IEEE J. Quantum Electron. 18, 259 (1982)
L.A. Lugiato, Progress in Optics XXI pp. 69–216 (1984)
W.J. Firth, P.V. Paulau, Eur. Phys. J. D 59, 13 (2010)
T. Ackemann, N. Radwell, Y. Noblet, R. Jäger, Opt. Lett. 37, 1079 (2012)
T. Ackemann, G.L. Oppo, W.J. Firth, Adv. Atom. Mol. Opt. Phys. 57, 323 (2009)
S. Barbay, R. Kuszelewicz, J.R. Tredicce, Adv. Opt. Tech. 2011, 628761 (2011)
H. Rubinsztein-Dunlop, A. Forbes, M.V. Berry, M.R.D.D.L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N.M. Litchinitser, N.P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J.P. Torres, T.W. Neely, M. Baker, R. Gordon, A.B. Stilgoe, J. Romero, A.G. White, R. Fickler, A.E. Willner, G. Xie, B. McMorran, A.M. Weiner, J. Opt. B 19, 013001 (2017)
C. Rosales-Guzmán, B. Ndagano, A. Forbes, J. Opt. 20, 123001 (2018)
A. Forbes, Laser Photonics Rev. 13, 1900140 (2019)
E. Otte, C. Denz, Appl. Phys. Rev. 7, 041308 (2020)
A.M. Beckley, T.G. Brown, M.A. Alonso, Opt. Exp. 18, 10777 (2010)
A. Forbes, A. Dudley, M. McLaren, Adv. Opt. Phot. 8, 200 (2016). https://doi.org/10.1364/AOP.8.000200
Q. Zhan, Adv. Opt. Phot. 1, 1 (2009). https://doi.org/10.1364/AOP.1.000001
C. Maurer, A. Jesacher, S. Fürhapter, S. Bernet, M. Ritsch-Marte, New J. Phys. 9, 78 (2007)
R. Dorn, S. Quabis, G. Leuchs, Phys. Rev. Lett. 91, 233901 (2003)
O.J. Allegre, W. Perrie, S.P. Edwardson, G. Dearden, K.G. Watkins, J. Opt. 14, 085601 (2012)
Y. Kozawa, S. Sato, Opt. Exp. 18, 10828 (2010)
B.J. Roxworthy, K.C. Toussaint Jr, New J. Phys. 12, 073012 (2010)
F.K. Fatemi, Opt. Exp. 19, 25143 (2011)
N. Tischler, I. Fernandez-Corbaton, X. Zambrana-Puyalto, A. Minovich, X. Vidal, M.L. Juan, G. Molina-Terriza, Light: Science & Applications 3 (2014). https://doi.org/10.1038/lsa.2014.64
X.F. Qian, J.H. Eberly, Opt Lett. 36, 4110 (2011). https://doi.org/10.1364/OL.36.004110
B. Ndagano, B. Perez-Garcia, F.S. Roux, M. McLaren, C. Rosales-Guzman, Y. Zhang, O. Mouane, R.I. Hernandez-Aranda, T. Konrad, A. Forbes, Nature Phys. 13, 397 (2017)
X.F. Qian, A.N. Vamivakas, J.H. Eberly, Opt. Photon. News 17(10), 34 (2017)
S. Berg-Johansen, F. Töppel, B. Stiller, P. Banzer, M. Ornigotti, E. Giacobino, G. Leuchs, A. Aiello, C. Marquardt, Optica 2, 864 (2015)
J. Wang, F. Castellucci, S. Franke-Arnold, AVS Quantum Sci. 2 (2020)
M. Fridman, G. Machavariani, N. Davidson, A.A. Friesem, Appl. Phys. Lett. 93, 191104 (2008)
Y. Senatsky, J.F. Bisson, J. Li, A. Shirakawa, M. Thirugnanasambandam, K.i. Ueda, Opt. Rev. 19, 201 (2012)
S. Ngcobo, I. Litvin, L. Burger, A. Andrew Forbes, Nat. Commun. 4, 2289 (2013)
D. Naidoo, F.S. Roux, A. Dudley, I. Litvin, B. Piccirillo, L. Marrucci, A. Forbes, Nat. Photon. 10, 327 (2016). https://doi.org/10.1038/nphoton.2016.37.
G. Machavariani, Y. Lumer, I. Moshe, A. Meir, S. Jackel, Opt. Lett. 32, 1468 (2007)
Y. Liu, X. Ling, X. Yi, X. Zhou, H. Luo, S. Wen, Appl. Phys. Lett. 104, 191110 (2014)
T. Bauer, P. Banzer, E. Karimi, S. Orlov, A. Rubano, L. Marrucci, E. Santamato, R.W. Boyd, G. Leuchs, Science 347, 964 (2015)
S. Ramachandran, P. Kristensen, Nanophotonics 2, 455 (2013)
B. Ndagano, R. Brüning, M. McLaren, M. Duparré, A. Forbes, Opt. Exp. 23, 17330 (2015)
N. Radwell, R. Hawley, J. Götte, S. Franke-Arnold, Nat. Commun. 7, 10564 (2016). https://doi.org/10.1038/ncomms10564
K.G. Lagoudakis, T. Ostatnický, A.V. Kavokin, Y.G. Rubo, Y.G. André, B. Deveaud-Plédran, Science 326, 974 (2009)
F. Manni, Y. Leéger, Y.G. Rubo, R. André, B. Deveaud, Nat. Commun. 4, 2590 (2013)
V.G. Sala, D.D. Solnyshkov, I. Carusotto, T. Jacqmin, A. Lemaître, H. Tercas, A. Nalitov, M. Abbarchi, E. Galopin, I. Sagnes, J. Bloch, G. Malpuech, A. Amo, Phys. Rev. X 5, 011034 (2015)
J. Hu, S. Kim, C. Schneider, S. Höfling, H. Deng, Phys. Rev. Appl. 14, 044001 (2020)
M. Schulz-Ruhtenberg, Y. Tanguy, K.F. Huang, R. Jäger, T. Ackemann, J. Phys. D: Appl Phys. 42, 055101 (2009)
T. Ackemann, G.L. Oppo, P.V. Paulau, C. McIntyre, Y. Noblet, P. Colet, W.J. Firth, Frequency- and phase locking of laser cavity solitons (Springer, New York, 2013), pp. 49–87. Progress in Optical Science and Photonics
T. Ackemann, J. Jimenez, Y. Noblet, N. Radwell, G. Ren, P. Paulau, C. McIntyre, G.L. Oppo, J.P. Toomey, D.M. Kane, Dynamics and Interaction of Laser Cavity Solitons in Broad-Area Semiconductor Lasers (Wiley, 2016), book section 3, pp. 41–76
P. Rodriguez, J. Jimenez, T. Guillet, T. Ackemann, Appl. Sci. 7, 442 (2017). https://doi.org/10.3390/app7050442
J. Jimenez, P. Rodriguez, T. Guillet, T. Ackemann, Phys. Rev. Lett. (2017)
A.S. Desyatnikov, A.A. Sukhorukov, Y.S. Kivshar, Phys. Rev. Lett. 95, 203904 (2005)
A. Minovich, D.N. Neshev, A.S. Desyatnikov, W. Krolikowski, Y.S. Kivshar, Opt. Exp. 17, 23610 (2009)
J.M. Soto-Crespo, N. Akhmediev, C. Mejîa-Cortés, N. Devine, Opt. Exp. 17, 4236 (2009)
P.V. Paulau (2015). Personal communication.
M.P.v. Exter, A.K.J.v. Doorn, J.P. Woerdman, Phys. Rev. A 56, 845 (1997)
A.K.v. Doorn, M.P.v. Exter, J.P. Woerdman, Appl. Phys. Lett. 69, 3635 (1996)
P.V. Paulau, C. McIntyre, Y. Noblet, N. Radwell, W.J. Firth, P. Colet, T. Ackemann, G.L. Oppo, Phys. Rev. Lett. 108, 213904 (2012)
N. Radwell, C. McIntyre, A.J. Scroggie, G.L. Oppo, W.J. Firth, T. Ackemann, Eur. Phys. J. D 59, 121 (2010)
M. Bache, F. Prati, G. Tissoni, R. Kheradmand, L.A. Lugiato, I. Protsenko, M. Brambilla, Appl. Phys. B 81, 913 (2005)
D.N. Maywar, G.P. Agrawal, Y. Nakano, Opt. Express 6, 75 (2000)
S. Barbay, Y. Ménesguen, X. Hachair, L. Leroy, I. Sagnes, R. Kuszelewicz, Opt. Lett. 31, 1504 (2006)
S. Barbay, R. Kuszelewicz, Opt. Exp. 15, 12457 (2007)
A.K. van Doorn, M.P. van Exter, J.P. Woerdman, IEEE J. Quantum Electron. 34, 700 (1998)
K. Panajotov, B. Nagler, G. Verschaffelt, A. Georgievski, H. Thienpont, J. Danckaert, I. Veretennicoff, Appl. Phys. Lett. 77(11), 1590 (2000)
M. Lindemann, G. Xu, T. Pusch, R. Michalzik, M.R. Hofmann, I. Zutic, N.C. Gerhardt, Nature 562, 212 (2019)
Acknowledgements
We are grateful to Jesus Jimenez-Garcia and Pedro Rodriguez for the collaboration in the earlier stages of the investigation of the vector vortex beams [39]. We note in particular that it was Jesus Jimenez-Garcia who realized that some of the states he observed had very peculiar polarization properties and worked out a first connection to VVB. The sabbatical of T. Guillet at Strathclyde was supported by the CNRS.
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Ackemann, T., Guillet, T., Pulham, H., Oppo, G.L. (2022). Vector Vortex Solitons and Soliton Control in Vertical-Cavity Surface-Emitting Lasers. In: Ferreira, M.F.S. (eds) Dissipative Optical Solitons. Springer Series in Optical Sciences, vol 238. Springer, Cham. https://doi.org/10.1007/978-3-030-97493-0_13
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