Abstract

In this paper, we propose a novel tunable unitary transformer, which can achieve arbitrary discrete unitary transforms. The unitary transformer is composed of multiple sections of multi-core fibers with closely aligned coupled cores. Phase shifters are inserted before and after the sections to control the phases of the waves in the cores. A simple algorithm is proposed to find the optimal phase setup for the phase shifters to realize the desired unitary transforms. The proposed device is fiber based and is particularly suitable for the mode division multiplexing systems. A tunable mode MUX/DEMUX for a three-mode fiber is designed based on the proposed structure.

© 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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Thermally expanded multicore-fiber-based mode multiplexer/demultiplexer

Thomas Joseph and Joseph John
J. Opt. Soc. Am. B 36(12) 3499-3504 (2019)

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    [Crossref]

2017 (4)

J. Liñares, X. Prieto-Blanco, V. Moreno, C. Montero-Orille, D. Mouriz, M. C. Nistal, and D. Barral, “Interferometric space-mode multiplexing based on binary phase plates and refractive phase shifters,” Opt. Express 25(10), 10925–10938 (2017).
[Crossref] [PubMed]

R. Tang, T. Tanemura, and Y. Nakano, “Integrated Reconfigurable Unitary Optical Mode Converter Using MMI Couplers,” IEEE Photonics Technol. Lett. 29(12), 971–974 (2017).
[Crossref]

H. Zhang, N. Healy, S. Dasgupta, J. R. Hayes, M. N. Petrovich, D. J. Richardson, and A. C. Peacock, “A Tunable Multi-Core to Single Mode Fiber Coupler,” IEEE Photonics Technol. Lett. 29(7), 59–62 (2017).
[Crossref]

Z. S. Eznaveh, J. E. Antonio-Lopez, J. C. A. Zacarias, A. Schülzgen, C. M. Okonkwo, and R. A. Correa, “All-fiber few-mode multicore photonic lantern mode multiplexer,” Opt. Express 25(14), 16701–16707 (2017).
[Crossref] [PubMed]

2016 (1)

2015 (5)

K. Igarashi, D. Souma, K. Takeshima, and T. Tsuritani, “Selective mode multiplexer based on phase plates and Mach-Zehnder interferometer with image inversion function,” Opt. Express 23(1), 183–194 (2015).
[Crossref] [PubMed]

H. Huang, G. Milione, M. P. J. Lavery, G. Xie, Y. Ren, Y. Cao, N. Ahmed, T. An Nguyen, D. A. Nolan, M.-J. Li, M. Tur, R. R. Alfano, and A. E. Willner, “Mode division multiplexing using an orbital angular momentum mode sorter and MIMO-DSP over a graded-index few-mode optical fibre,” Sci. Rep. 5, 14931 (2015).
[Crossref] [PubMed]

T. A. Birks, I. Gris-Sánchez, S. Yerolatsitis, S. G. Leon-Saval, and R. R. Thomson, “The photonic lantern,” Adv. Opt. Photonics 7(2), 107–167 (2015).
[Crossref]

X. Gan, C. Zhao, Y. Wang, D. Mao, L. Fang, L. Han, and J. Zhao, “Graphene-assisted all-fiber phase shifter and switching,” Optica 2(5), 468–471 (2015).
[Crossref]

Y. Sasaki, H. Uemura, K. Takenaga, S. Nishimoto, T. Uematsu, K. Omichi, R. Goto, S. Matsuo, and K. Saitoh, “Multicore fiber-based mode multiplexer/demultiplexer,” Proc. SPIE 9389, 938905 (2015).
[Crossref]

2014 (4)

G. T. Campbell, O. Pinel, M. Hosseini, T. C. Ralph, B. C. Buchler, and P. K. Lam, “Configurable Unitary Transformations and Linear Logic Gates Using Quantum Memories,” Phys. Rev. Lett. 113(6), 063601 (2014).
[Crossref] [PubMed]

G. Labroille, B. Denolle, P. Jian, P. Genevaux, N. Treps, and J.-F. Morizur, “Efficient and mode selective spatial mode multiplexer based on multi-plane light conversion,” Opt. Express 22(13), 15599–15607 (2014).
[Crossref] [PubMed]

L. W. Luo, N. Ophir, C. P. Chen, L. H. Gabrielli, C. B. Poitras, K. Bergmen, and M. Lipson, “WDM-compatible mode-division multiplexing on a silicon chip,” Nat. Commun. 5, 3069 (2014).
[Crossref] [PubMed]

J. Wang, S. Chen, and D. Dai, “Silicon hybrid demultiplexer with 64 channels for wavelength/mode-division multiplexed on-chip optical interconnects,” Opt. Lett. 39(24), 6993–6996 (2014).
[Crossref] [PubMed]

2013 (4)

2012 (1)

2011 (1)

2010 (2)

2000 (1)

J. Hudgings, L. Molter, and M. Dutta, “Design and Modeling of Passive Optical Switches and Power Dividers Using Non-Planar Coupled Fiber Arrays,” IEEE J. Quantum Electron. 36(12), 1438–1444 (2000).
[Crossref]

1994 (1)

M. Reck, A. Zeilinger, H. J. Bernstein, and P. Bertani, “Experimental realization of any discrete unitary operator,” Phys. Rev. Lett. 73(1), 58–61 (1994).
[Crossref] [PubMed]

1991 (1)

Y. Anjan and S. Habbel, “Environmental performance of fused PM fiber couplers for fiber gyro application,” IEEE Photonics Technol. Lett. 3(6), 578–580 (1991).
[Crossref]

1989 (1)

J. Pietzsch, “Scattering Matrix Analysis of 3 x 3 Fiber Couplers,” IEEE J. Lightwavw Technol. 7(2), 303–307 (1989).
[Crossref]

1981 (2)

Z. I. Borevich and S. L. Krupetskii, “Subgroups of the unitary group that contain the group of diagonal matrices,” J. Math. Sci. 17(4), 1951–1959 (1981).
[Crossref]

R. A. Bergh, H. C. Lefevre, and H. J. Shaw, “All-single-mode fiber-optic gyroscope,” Opt. Lett. 6(4), 198–200 (1981).
[Crossref] [PubMed]

Ahmed, N.

H. Huang, G. Milione, M. P. J. Lavery, G. Xie, Y. Ren, Y. Cao, N. Ahmed, T. An Nguyen, D. A. Nolan, M.-J. Li, M. Tur, R. R. Alfano, and A. E. Willner, “Mode division multiplexing using an orbital angular momentum mode sorter and MIMO-DSP over a graded-index few-mode optical fibre,” Sci. Rep. 5, 14931 (2015).
[Crossref] [PubMed]

Alfano, R. R.

H. Huang, G. Milione, M. P. J. Lavery, G. Xie, Y. Ren, Y. Cao, N. Ahmed, T. An Nguyen, D. A. Nolan, M.-J. Li, M. Tur, R. R. Alfano, and A. E. Willner, “Mode division multiplexing using an orbital angular momentum mode sorter and MIMO-DSP over a graded-index few-mode optical fibre,” Sci. Rep. 5, 14931 (2015).
[Crossref] [PubMed]

An Nguyen, T.

H. Huang, G. Milione, M. P. J. Lavery, G. Xie, Y. Ren, Y. Cao, N. Ahmed, T. An Nguyen, D. A. Nolan, M.-J. Li, M. Tur, R. R. Alfano, and A. E. Willner, “Mode division multiplexing using an orbital angular momentum mode sorter and MIMO-DSP over a graded-index few-mode optical fibre,” Sci. Rep. 5, 14931 (2015).
[Crossref] [PubMed]

Anjan, Y.

Y. Anjan and S. Habbel, “Environmental performance of fused PM fiber couplers for fiber gyro application,” IEEE Photonics Technol. Lett. 3(6), 578–580 (1991).
[Crossref]

Antonio-Lopez, J. E.

Armstrong, S.

Bachor, H. A.

Barral, D.

Bergh, R. A.

Bergmen, K.

L. W. Luo, N. Ophir, C. P. Chen, L. H. Gabrielli, C. B. Poitras, K. Bergmen, and M. Lipson, “WDM-compatible mode-division multiplexing on a silicon chip,” Nat. Commun. 5, 3069 (2014).
[Crossref] [PubMed]

Bernstein, H. J.

M. Reck, A. Zeilinger, H. J. Bernstein, and P. Bertani, “Experimental realization of any discrete unitary operator,” Phys. Rev. Lett. 73(1), 58–61 (1994).
[Crossref] [PubMed]

Bertani, P.

M. Reck, A. Zeilinger, H. J. Bernstein, and P. Bertani, “Experimental realization of any discrete unitary operator,” Phys. Rev. Lett. 73(1), 58–61 (1994).
[Crossref] [PubMed]

Birks, T. A.

T. A. Birks, I. Gris-Sánchez, S. Yerolatsitis, S. G. Leon-Saval, and R. R. Thomson, “The photonic lantern,” Adv. Opt. Photonics 7(2), 107–167 (2015).
[Crossref]

Bland-Hawthorn, J.

Borevich, Z. I.

Z. I. Borevich and S. L. Krupetskii, “Subgroups of the unitary group that contain the group of diagonal matrices,” J. Math. Sci. 17(4), 1951–1959 (1981).
[Crossref]

Bowen, W.

Brod, D.

A. Crespi, R. Osellame, R. Ramponi, D. Brod, E. Galvao, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nat. Photonics 7(7), 545–549 (2013).
[Crossref]

Buchler, B. C.

G. T. Campbell, O. Pinel, M. Hosseini, T. C. Ralph, B. C. Buchler, and P. K. Lam, “Configurable Unitary Transformations and Linear Logic Gates Using Quantum Memories,” Phys. Rev. Lett. 113(6), 063601 (2014).
[Crossref] [PubMed]

Campbell, G. T.

G. T. Campbell, O. Pinel, M. Hosseini, T. C. Ralph, B. C. Buchler, and P. K. Lam, “Configurable Unitary Transformations and Linear Logic Gates Using Quantum Memories,” Phys. Rev. Lett. 113(6), 063601 (2014).
[Crossref] [PubMed]

Cao, Y.

H. Huang, G. Milione, M. P. J. Lavery, G. Xie, Y. Ren, Y. Cao, N. Ahmed, T. An Nguyen, D. A. Nolan, M.-J. Li, M. Tur, R. R. Alfano, and A. E. Willner, “Mode division multiplexing using an orbital angular momentum mode sorter and MIMO-DSP over a graded-index few-mode optical fibre,” Sci. Rep. 5, 14931 (2015).
[Crossref] [PubMed]

Chen, C. P.

L. W. Luo, N. Ophir, C. P. Chen, L. H. Gabrielli, C. B. Poitras, K. Bergmen, and M. Lipson, “WDM-compatible mode-division multiplexing on a silicon chip,” Nat. Commun. 5, 3069 (2014).
[Crossref] [PubMed]

Chen, S.

Correa, R. A.

Crespi, A.

A. Crespi, R. Osellame, R. Ramponi, D. Brod, E. Galvao, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nat. Photonics 7(7), 545–549 (2013).
[Crossref]

Dai, D.

Dasgupta, S.

H. Zhang, N. Healy, S. Dasgupta, J. R. Hayes, M. N. Petrovich, D. J. Richardson, and A. C. Peacock, “A Tunable Multi-Core to Single Mode Fiber Coupler,” IEEE Photonics Technol. Lett. 29(7), 59–62 (2017).
[Crossref]

Denolle, B.

Dutta, M.

J. Hudgings, L. Molter, and M. Dutta, “Design and Modeling of Passive Optical Switches and Power Dividers Using Non-Planar Coupled Fiber Arrays,” IEEE J. Quantum Electron. 36(12), 1438–1444 (2000).
[Crossref]

Eznaveh, Z. S.

Fang, L.

Fontaine, N. K.

Fu, S.

Gabrielli, L. H.

L. W. Luo, N. Ophir, C. P. Chen, L. H. Gabrielli, C. B. Poitras, K. Bergmen, and M. Lipson, “WDM-compatible mode-division multiplexing on a silicon chip,” Nat. Commun. 5, 3069 (2014).
[Crossref] [PubMed]

Galvao, E.

A. Crespi, R. Osellame, R. Ramponi, D. Brod, E. Galvao, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nat. Photonics 7(7), 545–549 (2013).
[Crossref]

Gan, X.

Genevaux, P.

Goto, R.

Y. Sasaki, H. Uemura, K. Takenaga, S. Nishimoto, T. Uematsu, K. Omichi, R. Goto, S. Matsuo, and K. Saitoh, “Multicore fiber-based mode multiplexer/demultiplexer,” Proc. SPIE 9389, 938905 (2015).
[Crossref]

Gris-Sánchez, I.

T. A. Birks, I. Gris-Sánchez, S. Yerolatsitis, S. G. Leon-Saval, and R. R. Thomson, “The photonic lantern,” Adv. Opt. Photonics 7(2), 107–167 (2015).
[Crossref]

Habbel, S.

Y. Anjan and S. Habbel, “Environmental performance of fused PM fiber couplers for fiber gyro application,” IEEE Photonics Technol. Lett. 3(6), 578–580 (1991).
[Crossref]

Hage, B.

Han, L.

Hanzawa, N.

Hayashi, T.

Hayes, J. R.

H. Zhang, N. Healy, S. Dasgupta, J. R. Hayes, M. N. Petrovich, D. J. Richardson, and A. C. Peacock, “A Tunable Multi-Core to Single Mode Fiber Coupler,” IEEE Photonics Technol. Lett. 29(7), 59–62 (2017).
[Crossref]

He, Z.

Healy, N.

H. Zhang, N. Healy, S. Dasgupta, J. R. Hayes, M. N. Petrovich, D. J. Richardson, and A. C. Peacock, “A Tunable Multi-Core to Single Mode Fiber Coupler,” IEEE Photonics Technol. Lett. 29(7), 59–62 (2017).
[Crossref]

Hosseini, M.

G. T. Campbell, O. Pinel, M. Hosseini, T. C. Ralph, B. C. Buchler, and P. K. Lam, “Configurable Unitary Transformations and Linear Logic Gates Using Quantum Memories,” Phys. Rev. Lett. 113(6), 063601 (2014).
[Crossref] [PubMed]

Hsu, M.

Hu, R.

Huang, H.

H. Huang, G. Milione, M. P. J. Lavery, G. Xie, Y. Ren, Y. Cao, N. Ahmed, T. An Nguyen, D. A. Nolan, M.-J. Li, M. Tur, R. R. Alfano, and A. E. Willner, “Mode division multiplexing using an orbital angular momentum mode sorter and MIMO-DSP over a graded-index few-mode optical fibre,” Sci. Rep. 5, 14931 (2015).
[Crossref] [PubMed]

Hudgings, J.

J. Hudgings, L. Molter, and M. Dutta, “Design and Modeling of Passive Optical Switches and Power Dividers Using Non-Planar Coupled Fiber Arrays,” IEEE J. Quantum Electron. 36(12), 1438–1444 (2000).
[Crossref]

Igarashi, K.

Janousek, J.

Jian, P.

Koshiba, M.

Krupetskii, S. L.

Z. I. Borevich and S. L. Krupetskii, “Subgroups of the unitary group that contain the group of diagonal matrices,” J. Math. Sci. 17(4), 1951–1959 (1981).
[Crossref]

Labroille, G.

Lam, P. K.

G. T. Campbell, O. Pinel, M. Hosseini, T. C. Ralph, B. C. Buchler, and P. K. Lam, “Configurable Unitary Transformations and Linear Logic Gates Using Quantum Memories,” Phys. Rev. Lett. 113(6), 063601 (2014).
[Crossref] [PubMed]

Lavery, M. P. J.

H. Huang, G. Milione, M. P. J. Lavery, G. Xie, Y. Ren, Y. Cao, N. Ahmed, T. An Nguyen, D. A. Nolan, M.-J. Li, M. Tur, R. R. Alfano, and A. E. Willner, “Mode division multiplexing using an orbital angular momentum mode sorter and MIMO-DSP over a graded-index few-mode optical fibre,” Sci. Rep. 5, 14931 (2015).
[Crossref] [PubMed]

Lefevre, H. C.

Leon-Saval, S. G.

T. A. Birks, I. Gris-Sánchez, S. Yerolatsitis, S. G. Leon-Saval, and R. R. Thomson, “The photonic lantern,” Adv. Opt. Photonics 7(2), 107–167 (2015).
[Crossref]

N. K. Fontaine, R. Ryf, J. Bland-Hawthorn, and S. G. Leon-Saval, “Geometric requirements for photonic lanterns in space division multiplexing,” Opt. Express 20(24), 27123–27132 (2012).
[Crossref] [PubMed]

Li, C.

Li, M.-J.

H. Huang, G. Milione, M. P. J. Lavery, G. Xie, Y. Ren, Y. Cao, N. Ahmed, T. An Nguyen, D. A. Nolan, M.-J. Li, M. Tur, R. R. Alfano, and A. E. Willner, “Mode division multiplexing using an orbital angular momentum mode sorter and MIMO-DSP over a graded-index few-mode optical fibre,” Sci. Rep. 5, 14931 (2015).
[Crossref] [PubMed]

Li, X.

Liñares, J.

Lipson, M.

L. W. Luo, N. Ophir, C. P. Chen, L. H. Gabrielli, C. B. Poitras, K. Bergmen, and M. Lipson, “WDM-compatible mode-division multiplexing on a silicon chip,” Nat. Commun. 5, 3069 (2014).
[Crossref] [PubMed]

Luo, L. W.

L. W. Luo, N. Ophir, C. P. Chen, L. H. Gabrielli, C. B. Poitras, K. Bergmen, and M. Lipson, “WDM-compatible mode-division multiplexing on a silicon chip,” Nat. Commun. 5, 3069 (2014).
[Crossref] [PubMed]

Luo, M.

Maiorino, E.

A. Crespi, R. Osellame, R. Ramponi, D. Brod, E. Galvao, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nat. Photonics 7(7), 545–549 (2013).
[Crossref]

Mao, D.

Mataloni, P.

A. Crespi, R. Osellame, R. Ramponi, D. Brod, E. Galvao, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nat. Photonics 7(7), 545–549 (2013).
[Crossref]

Matsui, T.

Matsuo, S.

Y. Sasaki, H. Uemura, K. Takenaga, S. Nishimoto, T. Uematsu, K. Omichi, R. Goto, S. Matsuo, and K. Saitoh, “Multicore fiber-based mode multiplexer/demultiplexer,” Proc. SPIE 9389, 938905 (2015).
[Crossref]

Milione, G.

H. Huang, G. Milione, M. P. J. Lavery, G. Xie, Y. Ren, Y. Cao, N. Ahmed, T. An Nguyen, D. A. Nolan, M.-J. Li, M. Tur, R. R. Alfano, and A. E. Willner, “Mode division multiplexing using an orbital angular momentum mode sorter and MIMO-DSP over a graded-index few-mode optical fibre,” Sci. Rep. 5, 14931 (2015).
[Crossref] [PubMed]

Miller, D. A. B.

Molter, L.

J. Hudgings, L. Molter, and M. Dutta, “Design and Modeling of Passive Optical Switches and Power Dividers Using Non-Planar Coupled Fiber Arrays,” IEEE J. Quantum Electron. 36(12), 1438–1444 (2000).
[Crossref]

Montero-Orille, C.

Moreno, V.

Morizur, J.-F.

Mouriz, D.

Nakano, Y.

R. Tang, T. Tanemura, and Y. Nakano, “Integrated Reconfigurable Unitary Optical Mode Converter Using MMI Couplers,” IEEE Photonics Technol. Lett. 29(12), 971–974 (2017).
[Crossref]

Nicholls, L.

Nishimoto, S.

Y. Sasaki, H. Uemura, K. Takenaga, S. Nishimoto, T. Uematsu, K. Omichi, R. Goto, S. Matsuo, and K. Saitoh, “Multicore fiber-based mode multiplexer/demultiplexer,” Proc. SPIE 9389, 938905 (2015).
[Crossref]

Nistal, M. C.

Nolan, D. A.

H. Huang, G. Milione, M. P. J. Lavery, G. Xie, Y. Ren, Y. Cao, N. Ahmed, T. An Nguyen, D. A. Nolan, M.-J. Li, M. Tur, R. R. Alfano, and A. E. Willner, “Mode division multiplexing using an orbital angular momentum mode sorter and MIMO-DSP over a graded-index few-mode optical fibre,” Sci. Rep. 5, 14931 (2015).
[Crossref] [PubMed]

Okonkwo, C. M.

Omichi, K.

Y. Sasaki, H. Uemura, K. Takenaga, S. Nishimoto, T. Uematsu, K. Omichi, R. Goto, S. Matsuo, and K. Saitoh, “Multicore fiber-based mode multiplexer/demultiplexer,” Proc. SPIE 9389, 938905 (2015).
[Crossref]

Ophir, N.

L. W. Luo, N. Ophir, C. P. Chen, L. H. Gabrielli, C. B. Poitras, K. Bergmen, and M. Lipson, “WDM-compatible mode-division multiplexing on a silicon chip,” Nat. Commun. 5, 3069 (2014).
[Crossref] [PubMed]

Osellame, R.

A. Crespi, R. Osellame, R. Ramponi, D. Brod, E. Galvao, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nat. Photonics 7(7), 545–549 (2013).
[Crossref]

Peacock, A. C.

H. Zhang, N. Healy, S. Dasgupta, J. R. Hayes, M. N. Petrovich, D. J. Richardson, and A. C. Peacock, “A Tunable Multi-Core to Single Mode Fiber Coupler,” IEEE Photonics Technol. Lett. 29(7), 59–62 (2017).
[Crossref]

Petrovich, M. N.

H. Zhang, N. Healy, S. Dasgupta, J. R. Hayes, M. N. Petrovich, D. J. Richardson, and A. C. Peacock, “A Tunable Multi-Core to Single Mode Fiber Coupler,” IEEE Photonics Technol. Lett. 29(7), 59–62 (2017).
[Crossref]

Pietzsch, J.

J. Pietzsch, “Scattering Matrix Analysis of 3 x 3 Fiber Couplers,” IEEE J. Lightwavw Technol. 7(2), 303–307 (1989).
[Crossref]

Pinel, O.

G. T. Campbell, O. Pinel, M. Hosseini, T. C. Ralph, B. C. Buchler, and P. K. Lam, “Configurable Unitary Transformations and Linear Logic Gates Using Quantum Memories,” Phys. Rev. Lett. 113(6), 063601 (2014).
[Crossref] [PubMed]

Poitras, C. B.

L. W. Luo, N. Ophir, C. P. Chen, L. H. Gabrielli, C. B. Poitras, K. Bergmen, and M. Lipson, “WDM-compatible mode-division multiplexing on a silicon chip,” Nat. Commun. 5, 3069 (2014).
[Crossref] [PubMed]

Prieto-Blanco, X.

Qiu, Y.

Ralph, T. C.

G. T. Campbell, O. Pinel, M. Hosseini, T. C. Ralph, B. C. Buchler, and P. K. Lam, “Configurable Unitary Transformations and Linear Logic Gates Using Quantum Memories,” Phys. Rev. Lett. 113(6), 063601 (2014).
[Crossref] [PubMed]

Ramponi, R.

A. Crespi, R. Osellame, R. Ramponi, D. Brod, E. Galvao, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nat. Photonics 7(7), 545–549 (2013).
[Crossref]

Reck, M.

M. Reck, A. Zeilinger, H. J. Bernstein, and P. Bertani, “Experimental realization of any discrete unitary operator,” Phys. Rev. Lett. 73(1), 58–61 (1994).
[Crossref] [PubMed]

Ren, Y.

H. Huang, G. Milione, M. P. J. Lavery, G. Xie, Y. Ren, Y. Cao, N. Ahmed, T. An Nguyen, D. A. Nolan, M.-J. Li, M. Tur, R. R. Alfano, and A. E. Willner, “Mode division multiplexing using an orbital angular momentum mode sorter and MIMO-DSP over a graded-index few-mode optical fibre,” Sci. Rep. 5, 14931 (2015).
[Crossref] [PubMed]

Richardson, D. J.

H. Zhang, N. Healy, S. Dasgupta, J. R. Hayes, M. N. Petrovich, D. J. Richardson, and A. C. Peacock, “A Tunable Multi-Core to Single Mode Fiber Coupler,” IEEE Photonics Technol. Lett. 29(7), 59–62 (2017).
[Crossref]

Ryf, R.

Saitoh, F.

Saitoh, K.

Sakamoto, T.

Sasaki, T.

Sasaki, Y.

Y. Sasaki, H. Uemura, K. Takenaga, S. Nishimoto, T. Uematsu, K. Omichi, R. Goto, S. Matsuo, and K. Saitoh, “Multicore fiber-based mode multiplexer/demultiplexer,” Proc. SPIE 9389, 938905 (2015).
[Crossref]

Sasaoka, E.

Schülzgen, A.

Sciarrino, F.

A. Crespi, R. Osellame, R. Ramponi, D. Brod, E. Galvao, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nat. Photonics 7(7), 545–549 (2013).
[Crossref]

Shaw, H. J.

Shimakawa, O.

Souma, D.

Spagnolo, N.

A. Crespi, R. Osellame, R. Ramponi, D. Brod, E. Galvao, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nat. Photonics 7(7), 545–549 (2013).
[Crossref]

Takenaga, K.

Y. Sasaki, H. Uemura, K. Takenaga, S. Nishimoto, T. Uematsu, K. Omichi, R. Goto, S. Matsuo, and K. Saitoh, “Multicore fiber-based mode multiplexer/demultiplexer,” Proc. SPIE 9389, 938905 (2015).
[Crossref]

Takeshima, K.

Tanemura, T.

R. Tang, T. Tanemura, and Y. Nakano, “Integrated Reconfigurable Unitary Optical Mode Converter Using MMI Couplers,” IEEE Photonics Technol. Lett. 29(12), 971–974 (2017).
[Crossref]

Tang, R.

R. Tang, T. Tanemura, and Y. Nakano, “Integrated Reconfigurable Unitary Optical Mode Converter Using MMI Couplers,” IEEE Photonics Technol. Lett. 29(12), 971–974 (2017).
[Crossref]

Taru, T.

Thomson, R. R.

T. A. Birks, I. Gris-Sánchez, S. Yerolatsitis, S. G. Leon-Saval, and R. R. Thomson, “The photonic lantern,” Adv. Opt. Photonics 7(2), 107–167 (2015).
[Crossref]

Treps, N.

Tsujikawa, K.

Tsuritani, T.

Tur, M.

H. Huang, G. Milione, M. P. J. Lavery, G. Xie, Y. Ren, Y. Cao, N. Ahmed, T. An Nguyen, D. A. Nolan, M.-J. Li, M. Tur, R. R. Alfano, and A. E. Willner, “Mode division multiplexing using an orbital angular momentum mode sorter and MIMO-DSP over a graded-index few-mode optical fibre,” Sci. Rep. 5, 14931 (2015).
[Crossref] [PubMed]

Uematsu, T.

Y. Sasaki, H. Uemura, K. Takenaga, S. Nishimoto, T. Uematsu, K. Omichi, R. Goto, S. Matsuo, and K. Saitoh, “Multicore fiber-based mode multiplexer/demultiplexer,” Proc. SPIE 9389, 938905 (2015).
[Crossref]

Uemura, H.

Y. Sasaki, H. Uemura, K. Takenaga, S. Nishimoto, T. Uematsu, K. Omichi, R. Goto, S. Matsuo, and K. Saitoh, “Multicore fiber-based mode multiplexer/demultiplexer,” Proc. SPIE 9389, 938905 (2015).
[Crossref]

Vitelli, C.

A. Crespi, R. Osellame, R. Ramponi, D. Brod, E. Galvao, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nat. Photonics 7(7), 545–549 (2013).
[Crossref]

Wang, J.

Wang, Y.

Willner, A. E.

H. Huang, G. Milione, M. P. J. Lavery, G. Xie, Y. Ren, Y. Cao, N. Ahmed, T. An Nguyen, D. A. Nolan, M.-J. Li, M. Tur, R. R. Alfano, and A. E. Willner, “Mode division multiplexing using an orbital angular momentum mode sorter and MIMO-DSP over a graded-index few-mode optical fibre,” Sci. Rep. 5, 14931 (2015).
[Crossref] [PubMed]

Xie, G.

H. Huang, G. Milione, M. P. J. Lavery, G. Xie, Y. Ren, Y. Cao, N. Ahmed, T. An Nguyen, D. A. Nolan, M.-J. Li, M. Tur, R. R. Alfano, and A. E. Willner, “Mode division multiplexing using an orbital angular momentum mode sorter and MIMO-DSP over a graded-index few-mode optical fibre,” Sci. Rep. 5, 14931 (2015).
[Crossref] [PubMed]

Yamamoto, F.

Yang, Q.

Yerolatsitis, S.

T. A. Birks, I. Gris-Sánchez, S. Yerolatsitis, S. G. Leon-Saval, and R. R. Thomson, “The photonic lantern,” Adv. Opt. Photonics 7(2), 107–167 (2015).
[Crossref]

Yu, S.

Zacarias, J. C. A.

Zeilinger, A.

M. Reck, A. Zeilinger, H. J. Bernstein, and P. Bertani, “Experimental realization of any discrete unitary operator,” Phys. Rev. Lett. 73(1), 58–61 (1994).
[Crossref] [PubMed]

Zhang, H.

H. Zhang, N. Healy, S. Dasgupta, J. R. Hayes, M. N. Petrovich, D. J. Richardson, and A. C. Peacock, “A Tunable Multi-Core to Single Mode Fiber Coupler,” IEEE Photonics Technol. Lett. 29(7), 59–62 (2017).
[Crossref]

Zhao, C.

Zhao, J.

Adv. Opt. Photonics (1)

T. A. Birks, I. Gris-Sánchez, S. Yerolatsitis, S. G. Leon-Saval, and R. R. Thomson, “The photonic lantern,” Adv. Opt. Photonics 7(2), 107–167 (2015).
[Crossref]

IEEE J. Lightwavw Technol. (1)

J. Pietzsch, “Scattering Matrix Analysis of 3 x 3 Fiber Couplers,” IEEE J. Lightwavw Technol. 7(2), 303–307 (1989).
[Crossref]

IEEE J. Quantum Electron. (1)

J. Hudgings, L. Molter, and M. Dutta, “Design and Modeling of Passive Optical Switches and Power Dividers Using Non-Planar Coupled Fiber Arrays,” IEEE J. Quantum Electron. 36(12), 1438–1444 (2000).
[Crossref]

IEEE Photonics Technol. Lett. (3)

R. Tang, T. Tanemura, and Y. Nakano, “Integrated Reconfigurable Unitary Optical Mode Converter Using MMI Couplers,” IEEE Photonics Technol. Lett. 29(12), 971–974 (2017).
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[Crossref]

H. Zhang, N. Healy, S. Dasgupta, J. R. Hayes, M. N. Petrovich, D. J. Richardson, and A. C. Peacock, “A Tunable Multi-Core to Single Mode Fiber Coupler,” IEEE Photonics Technol. Lett. 29(7), 59–62 (2017).
[Crossref]

J. Math. Sci. (1)

Z. I. Borevich and S. L. Krupetskii, “Subgroups of the unitary group that contain the group of diagonal matrices,” J. Math. Sci. 17(4), 1951–1959 (1981).
[Crossref]

J. Opt. Soc. Am. A (1)

Nat. Commun. (1)

L. W. Luo, N. Ophir, C. P. Chen, L. H. Gabrielli, C. B. Poitras, K. Bergmen, and M. Lipson, “WDM-compatible mode-division multiplexing on a silicon chip,” Nat. Commun. 5, 3069 (2014).
[Crossref] [PubMed]

Nat. Photonics (1)

A. Crespi, R. Osellame, R. Ramponi, D. Brod, E. Galvao, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nat. Photonics 7(7), 545–549 (2013).
[Crossref]

Opt. Express (10)

N. K. Fontaine, R. Ryf, J. Bland-Hawthorn, and S. G. Leon-Saval, “Geometric requirements for photonic lanterns in space division multiplexing,” Opt. Express 20(24), 27123–27132 (2012).
[Crossref] [PubMed]

N. Hanzawa, K. Saitoh, T. Sakamoto, T. Matsui, K. Tsujikawa, M. Koshiba, and F. Yamamoto, “Two-mode PLC-based mode multi/demultiplexer for mode and wavelength division multiplexed transmission,” Opt. Express 21(22), 25752–25760 (2013).
[Crossref] [PubMed]

Z. He, X. Li, M. Luo, R. Hu, C. Li, Y. Qiu, S. Fu, Q. Yang, and S. Yu, “Independent component analysis based channel equalization for 6 × 6 MIMO-OFDM transmission over few-mode fiber,” Opt. Express 24(9), 9209–9217 (2016).
[Crossref] [PubMed]

J. Liñares, X. Prieto-Blanco, V. Moreno, C. Montero-Orille, D. Mouriz, M. C. Nistal, and D. Barral, “Interferometric space-mode multiplexing based on binary phase plates and refractive phase shifters,” Opt. Express 25(10), 10925–10938 (2017).
[Crossref] [PubMed]

G. Labroille, B. Denolle, P. Jian, P. Genevaux, N. Treps, and J.-F. Morizur, “Efficient and mode selective spatial mode multiplexer based on multi-plane light conversion,” Opt. Express 22(13), 15599–15607 (2014).
[Crossref] [PubMed]

D. A. B. Miller, “Self-aligning universal beam coupler,” Opt. Express 21(5), 6360–6370 (2013).
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F. Saitoh, K. Saitoh, and M. Koshiba, “A design method of a fiber-based mode multi/demultiplexer for mode-division multiplexing,” Opt. Express 18(5), 4709–4716 (2010).
[Crossref] [PubMed]

T. Hayashi, T. Taru, O. Shimakawa, T. Sasaki, and E. Sasaoka, “Design and fabrication of ultra-low crosstalk and low-loss multi-core fiber,” Opt. Express 19(17), 16576–16592 (2011).
[Crossref] [PubMed]

Z. S. Eznaveh, J. E. Antonio-Lopez, J. C. A. Zacarias, A. Schülzgen, C. M. Okonkwo, and R. A. Correa, “All-fiber few-mode multicore photonic lantern mode multiplexer,” Opt. Express 25(14), 16701–16707 (2017).
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K. Igarashi, D. Souma, K. Takeshima, and T. Tsuritani, “Selective mode multiplexer based on phase plates and Mach-Zehnder interferometer with image inversion function,” Opt. Express 23(1), 183–194 (2015).
[Crossref] [PubMed]

Opt. Lett. (2)

Optica (1)

Photon. Res. (1)

Phys. Rev. Lett. (2)

G. T. Campbell, O. Pinel, M. Hosseini, T. C. Ralph, B. C. Buchler, and P. K. Lam, “Configurable Unitary Transformations and Linear Logic Gates Using Quantum Memories,” Phys. Rev. Lett. 113(6), 063601 (2014).
[Crossref] [PubMed]

M. Reck, A. Zeilinger, H. J. Bernstein, and P. Bertani, “Experimental realization of any discrete unitary operator,” Phys. Rev. Lett. 73(1), 58–61 (1994).
[Crossref] [PubMed]

Proc. SPIE (1)

Y. Sasaki, H. Uemura, K. Takenaga, S. Nishimoto, T. Uematsu, K. Omichi, R. Goto, S. Matsuo, and K. Saitoh, “Multicore fiber-based mode multiplexer/demultiplexer,” Proc. SPIE 9389, 938905 (2015).
[Crossref]

Sci. Rep. (1)

H. Huang, G. Milione, M. P. J. Lavery, G. Xie, Y. Ren, Y. Cao, N. Ahmed, T. An Nguyen, D. A. Nolan, M.-J. Li, M. Tur, R. R. Alfano, and A. E. Willner, “Mode division multiplexing using an orbital angular momentum mode sorter and MIMO-DSP over a graded-index few-mode optical fibre,” Sci. Rep. 5, 14931 (2015).
[Crossref] [PubMed]

Other (1)

R. Ryf, M. A. Mestre, S. Randel, X. Palou, A. H. Gnauck, R. Delbue, P. Pupalaikis, A. Sureka, Y. Sun, X. Jiang, and R. Lingle, “Combined SDM and WDM transmission over 700-km Few-Mode Fiber,” in Optical Fiber Communication Conference/National Fiber Optic Engineers Conference 2013, OSA Technical Digest (online) (Optical Society of America, 2013), paper OW1I.2.
[Crossref]

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Figures (8)

Fig. 1
Fig. 1 Probability density function (PDF) of MSE with respect to 1000 random realizations. The MSE interval to evaluate the PDF is 5 × 10−5.
Fig. 2
Fig. 2 Schematic of the photonic lantern for multimode to single mode conversion.
Fig. 3
Fig. 3 The converted pattern from the modes in the multimode (a) LP01 (b) LP11a and (c) LP11b to the modes in the multi-core single mode fibers (d,e,f).
Fig. 4
Fig. 4 Schematic of the multi-core fiber based three-port coupler.
Fig. 5
Fig. 5 The output pattern of the MCF based coupler with the input from (a) port 1 (b) port 2 and (c) port 3.
Fig. 6
Fig. 6 The overall structure of the tunable mode MUX/DEMUX.
Fig. 7
Fig. 7 The output of each MCF based coupler with the target transfer matrix (O) = [1 0 0; 0 1 0; 0 0 1], the x and y axis units are μm.
Fig. 8
Fig. 8 The output of each MCF based coupler with the target transfer matrix (O) = [0 0 1; 0 1 0; 1 0 0], the x and y axis units are μm.

Tables (4)

Tables Icon

Table 1 The target matrix: the 4X4 DFT matrix

Tables Icon

Table 2 The realized transfer matrix with Table 1 as the target

Tables Icon

Table 3 The target matrix: a 4X4 random matrix

Tables Icon

Table 4 The realized transfer matrix with Table 3 as the target

Equations (29)

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

d a 1 dz =iβ a 1 +iC a N +iC a 2 d a i dz =iβ a i +iC a i1 +iC a i+1 d a N dz =iβ a 1 +iC a N1 +iC a 1
da dz =iβIa+iMa M=( 0 C 0 0 C C 0 C 0 0 0 C 0 C 0 0 C C 0 0 C 0 )
M=F( λ 1 λ 2 λ N ) F H F mn = 1 N exp( j 2π N ( m1 )( n1 ) ) λ k =2Ccos( 2π( k1 ) N )
a( z )= e jβz FD F H a( 0 ) D( z )=( exp( λ 1 z ) exp( λ 2 z ) exp( λ N z ) )
a out = e jβ k L k k ( FD( L k ) F H θ ( k ) ) a in θ ( k ) =( exp( j θ 1 ( k ) ) exp( j θ 2 ( k ) ) exp( j θ N ( k ) ) )
E= m,n | T mn O mn | 2
0< E k+1 E k E k1
E= m,n | | T mn || O mn | | 2
G= k K θ ( k )
T=( k=1 4 K θ ( k ) )B
T( i,j )=( 1 1 cosθ sinθ 1 sinθ cosθ 1 )
H U ij
C 1 =( e j θ 1 e j θ 2 e j θ n ) θ m =2×angle( A( 1,m ) )
A C 1 A=( 1 0 0 0 E 11 E 1,n1 0 E n1,1 E n1,n1 )
A C 1 A C 2 A C 1 A=( 1 0 0 0 E 11 E 1,n1 0 E n1,1 E n1,n1 ) C 2 ( 1 0 0 0 E 11 E 1,n1 0 E n1,1 E n1,n1 ) =( 1 0 0 0 1 0 0 0 F 11 F 1,n2 0 0 F n2,1 F n2,n2 )
A C 1 AA C n1 A C n A C n1 AA C 1 A=I
A 1 = C 1 AA C n1 A C n A C n1 AA C 1 A
A( z )=FD( z ) F H D( z )=( exp( λ 1 z ) exp( λ 2 z ) exp( λ N z ) )
A ij ( z )= l F il D ll ( z ) F jl *
N opt ( 2 )=( 1 2 j 1 2 j 1 2 1 2 )
N opt ( 3 )= 1 3 ( exp( j 1 18 π ) exp( j 11 18 π ) exp( j 11 18 π ) exp( j 11 18 π ) exp( j 1 18 π ) exp( j 11 18 π ) exp( j 11 18 π ) exp( j 11 18 π ) exp( j 1 18 π ) )
N opt ( 4 )=( 0.5 0.5i 0.5 0.5i 0.5i 0.5 0.5i 0.5 0.5 0.5i 0.5 0.5i 0.5i 0.5 0.5i 0.5 )
U= A (1) D A (2) A (1) =( a 11 (1) a 12 (1) a 21 (1) a 22 (1) a 33 (1) ), A (2) =( a 11 (2) a 12 (2) a 21 (2) a 22 (2) a 33 (2) ) D=( d 11 d 22 d 23 d 32 d 33 )
U=( u 11 u 12 u 13 u 21 u 22 u 23 u 31 u 32 u 33 ) C=( c 11 c 12 0 c 21 c 22 0 0 0 c 33 ) c 11 = u 23 | u 13 | 2 + | u 23 | 2 , c 12 = u 13 | u 13 | 2 + | u 23 | 2 , c 21 = c 12 * , c 22 = c 11 * , c 33 = e jη V=CU=( v 11 v 12 0 v 21 v 22 v 23 v 31 v 32 v 33 )
v 11 * v 21 + v 12 * v 22 =0 v 11 * v 31 + v 12 * v 32 =0
B=( b 11 b 12 b 21 b 22 b 33 ) b 11 = v 11 * | v 11 | 2 + | v 12 | 2 , b 21 = v 12 * | v 11 | 2 + | v 12 | 2 , b 12 = b 21 * , b 22 = b 11 * , b 33 = e jζ
D=VB=( v 11 v 12 0 v 21 v 22 v 23 v 31 v 32 v 33 )( b 11 b 12 b 21 b 22 b 33 )=( d 11 d 12 d 13 0 d 22 d 23 0 d 32 d 33 )
| d 11 |=1 d 12 =0 d 13 =0
U= C 1 D B 1 =( c 11 * c 21 * 0 c 12 * c 22 * 0 0 0 c 33 * )( d 11 0 0 0 d 22 d 23 0 d 32 d 33 )( b 11 * b 21 * b 12 * b 22 * b 33 * )

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