Abstract

Compact silicon mode (de)multiplexers based on asymmetrical directional couplers are designed using shortcuts to adiabaticity. The coupling coefficient and propagation constants mismatch are engineered to optimize the device robustness. Simulations show that the devices are broadband and have large fabrication tolerance.

© 2015 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Silicon mode (de)multiplexers with parameters optimized using shortcuts to adiabaticity

Defen Guo and Tao Chu
Opt. Express 25(8) 9160-9170 (2017)

Short and broadband silicon asymmetric Y-junction two-mode (de)multiplexer using fast quasiadiabatic dynamics

Hung-Ching Chung, Kun-Sheng Lee, and Shuo-Yen Tseng
Opt. Express 25(12) 13626-13634 (2017)

Robust silicon arbitrary ratio power splitters using shortcuts to adiabaticity

Hung-Ching Chung, Tai-Chun Wang, Yung-Jr Hung, and Shuo-Yen Tseng
Opt. Express 28(7) 10350-10362 (2020)

References

  • View by:
  • |
  • |
  • |

  1. D. J. Richardson, J. M. Fini, and L. E. Nelson, “Space-division multiplexing in optical fibres,” Nat. Photonics 7, 354–362 (2013).
    [Crossref]
  2. F. Yaman, N. Bai, B. Zhu, T. Wang, and G. Li, “Long distance transmission in few-mode fibers,” Opt. Express 18(12), 13250–13257 (2010).
    [Crossref] [PubMed]
  3. 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]
  4. N. Riesen and J. D. Love, “Design of mode-sorting asymmetric Y-junctions,” Appl. Opt. 51(15), 2778–2783 (2012).
    [Crossref] [PubMed]
  5. J. B. Driscoll, R. R. Grote, B. Souhan, J. I. Dadap, M. Lu, and R. M. Osgood, “Asymmetric Y junctions in silicon waveguides for on-chip mode-division multiplexing,” Opt. Lett. 38(11), 1854–1856 (2013).
    [Crossref] [PubMed]
  6. T. Uematsu, Y. Ishizaka, Y. Kawaguchi, K. Saitoh, and M. Koshiba, “Design of a compact two-mode multi/demultiplexer consisting of multimode interference waveguides and a wavelength-insensitive phase shifter for mode-division multiplexing transmission,” J. Lightwave Techcnol. 30(15), 2421–2426 (2012).
    [Crossref]
  7. Y. Li, C. Li, C. Li, B. Cheng, and C. Xue, “Compact two-mode (de)multiplexer based on symmetric Y-junction and multimode interference waveguides,” Opt. Express 22(5), 5781–5786 (2014).
    [Crossref] [PubMed]
  8. J. Xing, Z. Li, X. Xiao, J. Yu, and Y. Yu, “Two-mode multiplexer and demultiplexer based on adiabatic couplers,” Opt. Lett. 38(17), 3468–3470 (2013).
    [Crossref] [PubMed]
  9. Y. Ding, J. Xu, F. Da Ros, D. Huang, H. Ou, and C. Peucheret, “On-chip two-mode division multiplexing using tapered directional coupler-based mode multiplexer and demultiplexer,” Opt. Express 21(8), 10376–10382 (2013).
    [Crossref] [PubMed]
  10. M. Greenberg and M. Orenstein, “Multimode add-drop multiplexing by adiabatic linearly tapered coupling,” Opt. Express 13(23), 9381–9387 (2005).
    [Crossref] [PubMed]
  11. D. Dai, J. Wang, and Y. Shi, “Silicon mode (de)multiplexer enabling high capacity photonic networks-on-chip with a single-wavelength-carrier light,” Opt. Lett. 38(9), 1422–1424 (2013).
    [Crossref] [PubMed]
  12. D. Dai, J. Wang, and S. He, “Silicon multimode photonic integrated devices for on-chip mode-division-multiplexed optical interconnects,” Prog. Electromagn. Res. 143, 773–819 (2013).
    [Crossref]
  13. E. Torrontegui, S. Ibáñez, S. Martínez-Garaot, M. Modugno, A. del Campo, D. Guéry-Odelin, A. Ruschhaupt, X. Chen, and J. G. Muga, “Shortcuts to adiabaticity,” Adv. At., Mol., Opt. Phys. 62, 117–169 (2013).
    [Crossref]
  14. S. Longhi, “Quantum-optical analogies using photonic structures,” Laser Photonics Rev. 3(3), 243–261 (2009).
    [Crossref]
  15. S.-Y. Tseng, “Counterdiabatic mode-evolution based coupled-waveguide devices,” Opt. Express 21(18), 21224–21235 (2013).
    [Crossref] [PubMed]
  16. S.-Y. Tseng, R.-D. Wen, Y.-F. Chiu, and X. Chen, “Short and robust directional couplers designed by shortcuts to adiabaticity,” Opt. Express 22(16), 18849–18859 (2014).
    [Crossref] [PubMed]
  17. S.-Y. Tseng, “Robust coupled-waveguide devices using shortcuts to adiabaticity,” Opt. Lett. 39(23), 6600–6603 (2014).
    [Crossref] [PubMed]
  18. S. Martínez-Garaot, S.-Y. Tseng, and J. G. Muga, “Compact and high conversion efficiency mode-sorting asymmetric Y junction using shortcuts to adiabaticity,” Opt. Lett. 39(8), 2306–2308 (2014).
    [Crossref] [PubMed]
  19. X. Chen, H.-W. Wang, Y. Ban, and S.-Y. Tseng, “Short-length and robust polarization rotators in periodically poled lithium niobate via shortcuts to adiabaticity,” Opt. Express 22(20), 24169–24178 (2014).
    [Crossref] [PubMed]
  20. R. R. A. Syms and P. G. Peall, “The digital optical switch: analogous directional coupler devices,” Opt. Commun. 69(3,4), 235–238 (1989).
    [Crossref]
  21. K. Bergmann, H. Theuer, and B. W. Shore, “Coherent population transfer among quantum states of atoms and molecules,” Rev. Mod. Phys. 70(3), 1003–1025 (1998).
    [Crossref]
  22. A. Ruschhaupt, X. Chen, D. Alonso, and J. G. Muga, “Optimally robust shortcuts to population inversion in two-level quantum systems,” New J. Phys. 14(9), 093040 (2012).
    [Crossref]
  23. X.-J. Lu, X. Chen, A. Ruschhaupt, D. Alonso, S. Guérin, and J. G. Muga, “Fast and robust population transfer in two-level quantum systems with dephasing noise and/or systematic frequency errors,” Phys. Rev. A 88(3), 033406 (2013).
    [Crossref]
  24. D. Daems, A. Ruschhaupt, D. Sugny, and S. Guérin, “Robust quantum control by a single-shot shaped pulse,” Phys. Rev. Lett. 111(5), 050404 (2013).
    [Crossref] [PubMed]
  25. FIMMWAVE/FIMMPROP, Photon Design Ltd, http:/www.photond.com .
  26. M. L. Cooper and S. Mookherjea, “Numerically-assisted coupled-mode theory for silicon waveguide couplers and arrayed waveguides,” Opt. Express 17(3),1583–1599 (2009).
    [Crossref] [PubMed]
  27. A. Ruschhaupt and J. G. Muga, “Shortcut to adiabaticity in two-level systems: control and optimization,” J. Mod. Opt. 61(10), 828–832 (2014).
    [Crossref]

2014 (7)

2013 (10)

X.-J. Lu, X. Chen, A. Ruschhaupt, D. Alonso, S. Guérin, and J. G. Muga, “Fast and robust population transfer in two-level quantum systems with dephasing noise and/or systematic frequency errors,” Phys. Rev. A 88(3), 033406 (2013).
[Crossref]

D. Daems, A. Ruschhaupt, D. Sugny, and S. Guérin, “Robust quantum control by a single-shot shaped pulse,” Phys. Rev. Lett. 111(5), 050404 (2013).
[Crossref] [PubMed]

J. B. Driscoll, R. R. Grote, B. Souhan, J. I. Dadap, M. Lu, and R. M. Osgood, “Asymmetric Y junctions in silicon waveguides for on-chip mode-division multiplexing,” Opt. Lett. 38(11), 1854–1856 (2013).
[Crossref] [PubMed]

S.-Y. Tseng, “Counterdiabatic mode-evolution based coupled-waveguide devices,” Opt. Express 21(18), 21224–21235 (2013).
[Crossref] [PubMed]

D. Dai, J. Wang, and Y. Shi, “Silicon mode (de)multiplexer enabling high capacity photonic networks-on-chip with a single-wavelength-carrier light,” Opt. Lett. 38(9), 1422–1424 (2013).
[Crossref] [PubMed]

D. Dai, J. Wang, and S. He, “Silicon multimode photonic integrated devices for on-chip mode-division-multiplexed optical interconnects,” Prog. Electromagn. Res. 143, 773–819 (2013).
[Crossref]

E. Torrontegui, S. Ibáñez, S. Martínez-Garaot, M. Modugno, A. del Campo, D. Guéry-Odelin, A. Ruschhaupt, X. Chen, and J. G. Muga, “Shortcuts to adiabaticity,” Adv. At., Mol., Opt. Phys. 62, 117–169 (2013).
[Crossref]

J. Xing, Z. Li, X. Xiao, J. Yu, and Y. Yu, “Two-mode multiplexer and demultiplexer based on adiabatic couplers,” Opt. Lett. 38(17), 3468–3470 (2013).
[Crossref] [PubMed]

Y. Ding, J. Xu, F. Da Ros, D. Huang, H. Ou, and C. Peucheret, “On-chip two-mode division multiplexing using tapered directional coupler-based mode multiplexer and demultiplexer,” Opt. Express 21(8), 10376–10382 (2013).
[Crossref] [PubMed]

D. J. Richardson, J. M. Fini, and L. E. Nelson, “Space-division multiplexing in optical fibres,” Nat. Photonics 7, 354–362 (2013).
[Crossref]

2012 (3)

N. Riesen and J. D. Love, “Design of mode-sorting asymmetric Y-junctions,” Appl. Opt. 51(15), 2778–2783 (2012).
[Crossref] [PubMed]

T. Uematsu, Y. Ishizaka, Y. Kawaguchi, K. Saitoh, and M. Koshiba, “Design of a compact two-mode multi/demultiplexer consisting of multimode interference waveguides and a wavelength-insensitive phase shifter for mode-division multiplexing transmission,” J. Lightwave Techcnol. 30(15), 2421–2426 (2012).
[Crossref]

A. Ruschhaupt, X. Chen, D. Alonso, and J. G. Muga, “Optimally robust shortcuts to population inversion in two-level quantum systems,” New J. Phys. 14(9), 093040 (2012).
[Crossref]

2010 (1)

2009 (2)

2005 (1)

1998 (1)

K. Bergmann, H. Theuer, and B. W. Shore, “Coherent population transfer among quantum states of atoms and molecules,” Rev. Mod. Phys. 70(3), 1003–1025 (1998).
[Crossref]

1989 (1)

R. R. A. Syms and P. G. Peall, “The digital optical switch: analogous directional coupler devices,” Opt. Commun. 69(3,4), 235–238 (1989).
[Crossref]

Alonso, D.

X.-J. Lu, X. Chen, A. Ruschhaupt, D. Alonso, S. Guérin, and J. G. Muga, “Fast and robust population transfer in two-level quantum systems with dephasing noise and/or systematic frequency errors,” Phys. Rev. A 88(3), 033406 (2013).
[Crossref]

A. Ruschhaupt, X. Chen, D. Alonso, and J. G. Muga, “Optimally robust shortcuts to population inversion in two-level quantum systems,” New J. Phys. 14(9), 093040 (2012).
[Crossref]

Bai, N.

Ban, Y.

Bergmann, K.

K. Bergmann, H. Theuer, and B. W. Shore, “Coherent population transfer among quantum states of atoms and molecules,” Rev. Mod. Phys. 70(3), 1003–1025 (1998).
[Crossref]

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]

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, X.

X. Chen, H.-W. Wang, Y. Ban, and S.-Y. Tseng, “Short-length and robust polarization rotators in periodically poled lithium niobate via shortcuts to adiabaticity,” Opt. Express 22(20), 24169–24178 (2014).
[Crossref] [PubMed]

S.-Y. Tseng, R.-D. Wen, Y.-F. Chiu, and X. Chen, “Short and robust directional couplers designed by shortcuts to adiabaticity,” Opt. Express 22(16), 18849–18859 (2014).
[Crossref] [PubMed]

X.-J. Lu, X. Chen, A. Ruschhaupt, D. Alonso, S. Guérin, and J. G. Muga, “Fast and robust population transfer in two-level quantum systems with dephasing noise and/or systematic frequency errors,” Phys. Rev. A 88(3), 033406 (2013).
[Crossref]

E. Torrontegui, S. Ibáñez, S. Martínez-Garaot, M. Modugno, A. del Campo, D. Guéry-Odelin, A. Ruschhaupt, X. Chen, and J. G. Muga, “Shortcuts to adiabaticity,” Adv. At., Mol., Opt. Phys. 62, 117–169 (2013).
[Crossref]

A. Ruschhaupt, X. Chen, D. Alonso, and J. G. Muga, “Optimally robust shortcuts to population inversion in two-level quantum systems,” New J. Phys. 14(9), 093040 (2012).
[Crossref]

Cheng, B.

Chiu, Y.-F.

Cooper, M. L.

Da Ros, F.

Dadap, J. I.

Daems, D.

D. Daems, A. Ruschhaupt, D. Sugny, and S. Guérin, “Robust quantum control by a single-shot shaped pulse,” Phys. Rev. Lett. 111(5), 050404 (2013).
[Crossref] [PubMed]

Dai, D.

D. Dai, J. Wang, and Y. Shi, “Silicon mode (de)multiplexer enabling high capacity photonic networks-on-chip with a single-wavelength-carrier light,” Opt. Lett. 38(9), 1422–1424 (2013).
[Crossref] [PubMed]

D. Dai, J. Wang, and S. He, “Silicon multimode photonic integrated devices for on-chip mode-division-multiplexed optical interconnects,” Prog. Electromagn. Res. 143, 773–819 (2013).
[Crossref]

del Campo, A.

E. Torrontegui, S. Ibáñez, S. Martínez-Garaot, M. Modugno, A. del Campo, D. Guéry-Odelin, A. Ruschhaupt, X. Chen, and J. G. Muga, “Shortcuts to adiabaticity,” Adv. At., Mol., Opt. Phys. 62, 117–169 (2013).
[Crossref]

Ding, Y.

Driscoll, J. B.

Fini, J. M.

D. J. Richardson, J. M. Fini, and L. E. Nelson, “Space-division multiplexing in optical fibres,” Nat. Photonics 7, 354–362 (2013).
[Crossref]

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]

Greenberg, M.

Grote, R. R.

Guérin, S.

D. Daems, A. Ruschhaupt, D. Sugny, and S. Guérin, “Robust quantum control by a single-shot shaped pulse,” Phys. Rev. Lett. 111(5), 050404 (2013).
[Crossref] [PubMed]

X.-J. Lu, X. Chen, A. Ruschhaupt, D. Alonso, S. Guérin, and J. G. Muga, “Fast and robust population transfer in two-level quantum systems with dephasing noise and/or systematic frequency errors,” Phys. Rev. A 88(3), 033406 (2013).
[Crossref]

Guéry-Odelin, D.

E. Torrontegui, S. Ibáñez, S. Martínez-Garaot, M. Modugno, A. del Campo, D. Guéry-Odelin, A. Ruschhaupt, X. Chen, and J. G. Muga, “Shortcuts to adiabaticity,” Adv. At., Mol., Opt. Phys. 62, 117–169 (2013).
[Crossref]

He, S.

D. Dai, J. Wang, and S. He, “Silicon multimode photonic integrated devices for on-chip mode-division-multiplexed optical interconnects,” Prog. Electromagn. Res. 143, 773–819 (2013).
[Crossref]

Huang, D.

Ibáñez, S.

E. Torrontegui, S. Ibáñez, S. Martínez-Garaot, M. Modugno, A. del Campo, D. Guéry-Odelin, A. Ruschhaupt, X. Chen, and J. G. Muga, “Shortcuts to adiabaticity,” Adv. At., Mol., Opt. Phys. 62, 117–169 (2013).
[Crossref]

Ishizaka, Y.

T. Uematsu, Y. Ishizaka, Y. Kawaguchi, K. Saitoh, and M. Koshiba, “Design of a compact two-mode multi/demultiplexer consisting of multimode interference waveguides and a wavelength-insensitive phase shifter for mode-division multiplexing transmission,” J. Lightwave Techcnol. 30(15), 2421–2426 (2012).
[Crossref]

Kawaguchi, Y.

T. Uematsu, Y. Ishizaka, Y. Kawaguchi, K. Saitoh, and M. Koshiba, “Design of a compact two-mode multi/demultiplexer consisting of multimode interference waveguides and a wavelength-insensitive phase shifter for mode-division multiplexing transmission,” J. Lightwave Techcnol. 30(15), 2421–2426 (2012).
[Crossref]

Koshiba, M.

T. Uematsu, Y. Ishizaka, Y. Kawaguchi, K. Saitoh, and M. Koshiba, “Design of a compact two-mode multi/demultiplexer consisting of multimode interference waveguides and a wavelength-insensitive phase shifter for mode-division multiplexing transmission,” J. Lightwave Techcnol. 30(15), 2421–2426 (2012).
[Crossref]

Li, C.

Li, G.

Li, Y.

Li, Z.

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]

Longhi, S.

S. Longhi, “Quantum-optical analogies using photonic structures,” Laser Photonics Rev. 3(3), 243–261 (2009).
[Crossref]

Love, J. D.

Lu, M.

Lu, X.-J.

X.-J. Lu, X. Chen, A. Ruschhaupt, D. Alonso, S. Guérin, and J. G. Muga, “Fast and robust population transfer in two-level quantum systems with dephasing noise and/or systematic frequency errors,” Phys. Rev. A 88(3), 033406 (2013).
[Crossref]

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]

Martínez-Garaot, S.

S. Martínez-Garaot, S.-Y. Tseng, and J. G. Muga, “Compact and high conversion efficiency mode-sorting asymmetric Y junction using shortcuts to adiabaticity,” Opt. Lett. 39(8), 2306–2308 (2014).
[Crossref] [PubMed]

E. Torrontegui, S. Ibáñez, S. Martínez-Garaot, M. Modugno, A. del Campo, D. Guéry-Odelin, A. Ruschhaupt, X. Chen, and J. G. Muga, “Shortcuts to adiabaticity,” Adv. At., Mol., Opt. Phys. 62, 117–169 (2013).
[Crossref]

Modugno, M.

E. Torrontegui, S. Ibáñez, S. Martínez-Garaot, M. Modugno, A. del Campo, D. Guéry-Odelin, A. Ruschhaupt, X. Chen, and J. G. Muga, “Shortcuts to adiabaticity,” Adv. At., Mol., Opt. Phys. 62, 117–169 (2013).
[Crossref]

Mookherjea, S.

Muga, J. G.

S. Martínez-Garaot, S.-Y. Tseng, and J. G. Muga, “Compact and high conversion efficiency mode-sorting asymmetric Y junction using shortcuts to adiabaticity,” Opt. Lett. 39(8), 2306–2308 (2014).
[Crossref] [PubMed]

A. Ruschhaupt and J. G. Muga, “Shortcut to adiabaticity in two-level systems: control and optimization,” J. Mod. Opt. 61(10), 828–832 (2014).
[Crossref]

E. Torrontegui, S. Ibáñez, S. Martínez-Garaot, M. Modugno, A. del Campo, D. Guéry-Odelin, A. Ruschhaupt, X. Chen, and J. G. Muga, “Shortcuts to adiabaticity,” Adv. At., Mol., Opt. Phys. 62, 117–169 (2013).
[Crossref]

X.-J. Lu, X. Chen, A. Ruschhaupt, D. Alonso, S. Guérin, and J. G. Muga, “Fast and robust population transfer in two-level quantum systems with dephasing noise and/or systematic frequency errors,” Phys. Rev. A 88(3), 033406 (2013).
[Crossref]

A. Ruschhaupt, X. Chen, D. Alonso, and J. G. Muga, “Optimally robust shortcuts to population inversion in two-level quantum systems,” New J. Phys. 14(9), 093040 (2012).
[Crossref]

Nelson, L. E.

D. J. Richardson, J. M. Fini, and L. E. Nelson, “Space-division multiplexing in optical fibres,” Nat. Photonics 7, 354–362 (2013).
[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]

Orenstein, M.

Osgood, R. M.

Ou, H.

Peall, P. G.

R. R. A. Syms and P. G. Peall, “The digital optical switch: analogous directional coupler devices,” Opt. Commun. 69(3,4), 235–238 (1989).
[Crossref]

Peucheret, C.

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]

Richardson, D. J.

D. J. Richardson, J. M. Fini, and L. E. Nelson, “Space-division multiplexing in optical fibres,” Nat. Photonics 7, 354–362 (2013).
[Crossref]

Riesen, N.

Ruschhaupt, A.

A. Ruschhaupt and J. G. Muga, “Shortcut to adiabaticity in two-level systems: control and optimization,” J. Mod. Opt. 61(10), 828–832 (2014).
[Crossref]

E. Torrontegui, S. Ibáñez, S. Martínez-Garaot, M. Modugno, A. del Campo, D. Guéry-Odelin, A. Ruschhaupt, X. Chen, and J. G. Muga, “Shortcuts to adiabaticity,” Adv. At., Mol., Opt. Phys. 62, 117–169 (2013).
[Crossref]

X.-J. Lu, X. Chen, A. Ruschhaupt, D. Alonso, S. Guérin, and J. G. Muga, “Fast and robust population transfer in two-level quantum systems with dephasing noise and/or systematic frequency errors,” Phys. Rev. A 88(3), 033406 (2013).
[Crossref]

D. Daems, A. Ruschhaupt, D. Sugny, and S. Guérin, “Robust quantum control by a single-shot shaped pulse,” Phys. Rev. Lett. 111(5), 050404 (2013).
[Crossref] [PubMed]

A. Ruschhaupt, X. Chen, D. Alonso, and J. G. Muga, “Optimally robust shortcuts to population inversion in two-level quantum systems,” New J. Phys. 14(9), 093040 (2012).
[Crossref]

Saitoh, K.

T. Uematsu, Y. Ishizaka, Y. Kawaguchi, K. Saitoh, and M. Koshiba, “Design of a compact two-mode multi/demultiplexer consisting of multimode interference waveguides and a wavelength-insensitive phase shifter for mode-division multiplexing transmission,” J. Lightwave Techcnol. 30(15), 2421–2426 (2012).
[Crossref]

Shi, Y.

Shore, B. W.

K. Bergmann, H. Theuer, and B. W. Shore, “Coherent population transfer among quantum states of atoms and molecules,” Rev. Mod. Phys. 70(3), 1003–1025 (1998).
[Crossref]

Souhan, B.

Sugny, D.

D. Daems, A. Ruschhaupt, D. Sugny, and S. Guérin, “Robust quantum control by a single-shot shaped pulse,” Phys. Rev. Lett. 111(5), 050404 (2013).
[Crossref] [PubMed]

Syms, R. R. A.

R. R. A. Syms and P. G. Peall, “The digital optical switch: analogous directional coupler devices,” Opt. Commun. 69(3,4), 235–238 (1989).
[Crossref]

Theuer, H.

K. Bergmann, H. Theuer, and B. W. Shore, “Coherent population transfer among quantum states of atoms and molecules,” Rev. Mod. Phys. 70(3), 1003–1025 (1998).
[Crossref]

Torrontegui, E.

E. Torrontegui, S. Ibáñez, S. Martínez-Garaot, M. Modugno, A. del Campo, D. Guéry-Odelin, A. Ruschhaupt, X. Chen, and J. G. Muga, “Shortcuts to adiabaticity,” Adv. At., Mol., Opt. Phys. 62, 117–169 (2013).
[Crossref]

Tseng, S.-Y.

Uematsu, T.

T. Uematsu, Y. Ishizaka, Y. Kawaguchi, K. Saitoh, and M. Koshiba, “Design of a compact two-mode multi/demultiplexer consisting of multimode interference waveguides and a wavelength-insensitive phase shifter for mode-division multiplexing transmission,” J. Lightwave Techcnol. 30(15), 2421–2426 (2012).
[Crossref]

Wang, H.-W.

Wang, J.

D. Dai, J. Wang, and Y. Shi, “Silicon mode (de)multiplexer enabling high capacity photonic networks-on-chip with a single-wavelength-carrier light,” Opt. Lett. 38(9), 1422–1424 (2013).
[Crossref] [PubMed]

D. Dai, J. Wang, and S. He, “Silicon multimode photonic integrated devices for on-chip mode-division-multiplexed optical interconnects,” Prog. Electromagn. Res. 143, 773–819 (2013).
[Crossref]

Wang, T.

Wen, R.-D.

Xiao, X.

Xing, J.

Xu, J.

Xue, C.

Yaman, F.

Yu, J.

Yu, Y.

Zhu, B.

Adv. At., Mol., Opt. Phys. (1)

E. Torrontegui, S. Ibáñez, S. Martínez-Garaot, M. Modugno, A. del Campo, D. Guéry-Odelin, A. Ruschhaupt, X. Chen, and J. G. Muga, “Shortcuts to adiabaticity,” Adv. At., Mol., Opt. Phys. 62, 117–169 (2013).
[Crossref]

Appl. Opt. (1)

J. Lightwave Techcnol. (1)

T. Uematsu, Y. Ishizaka, Y. Kawaguchi, K. Saitoh, and M. Koshiba, “Design of a compact two-mode multi/demultiplexer consisting of multimode interference waveguides and a wavelength-insensitive phase shifter for mode-division multiplexing transmission,” J. Lightwave Techcnol. 30(15), 2421–2426 (2012).
[Crossref]

J. Mod. Opt. (1)

A. Ruschhaupt and J. G. Muga, “Shortcut to adiabaticity in two-level systems: control and optimization,” J. Mod. Opt. 61(10), 828–832 (2014).
[Crossref]

Laser Photonics Rev. (1)

S. Longhi, “Quantum-optical analogies using photonic structures,” Laser Photonics Rev. 3(3), 243–261 (2009).
[Crossref]

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)

D. J. Richardson, J. M. Fini, and L. E. Nelson, “Space-division multiplexing in optical fibres,” Nat. Photonics 7, 354–362 (2013).
[Crossref]

New J. Phys. (1)

A. Ruschhaupt, X. Chen, D. Alonso, and J. G. Muga, “Optimally robust shortcuts to population inversion in two-level quantum systems,” New J. Phys. 14(9), 093040 (2012).
[Crossref]

Opt. Commun. (1)

R. R. A. Syms and P. G. Peall, “The digital optical switch: analogous directional coupler devices,” Opt. Commun. 69(3,4), 235–238 (1989).
[Crossref]

Opt. Express (8)

Y. Li, C. Li, C. Li, B. Cheng, and C. Xue, “Compact two-mode (de)multiplexer based on symmetric Y-junction and multimode interference waveguides,” Opt. Express 22(5), 5781–5786 (2014).
[Crossref] [PubMed]

F. Yaman, N. Bai, B. Zhu, T. Wang, and G. Li, “Long distance transmission in few-mode fibers,” Opt. Express 18(12), 13250–13257 (2010).
[Crossref] [PubMed]

Y. Ding, J. Xu, F. Da Ros, D. Huang, H. Ou, and C. Peucheret, “On-chip two-mode division multiplexing using tapered directional coupler-based mode multiplexer and demultiplexer,” Opt. Express 21(8), 10376–10382 (2013).
[Crossref] [PubMed]

S.-Y. Tseng, R.-D. Wen, Y.-F. Chiu, and X. Chen, “Short and robust directional couplers designed by shortcuts to adiabaticity,” Opt. Express 22(16), 18849–18859 (2014).
[Crossref] [PubMed]

S.-Y. Tseng, “Counterdiabatic mode-evolution based coupled-waveguide devices,” Opt. Express 21(18), 21224–21235 (2013).
[Crossref] [PubMed]

X. Chen, H.-W. Wang, Y. Ban, and S.-Y. Tseng, “Short-length and robust polarization rotators in periodically poled lithium niobate via shortcuts to adiabaticity,” Opt. Express 22(20), 24169–24178 (2014).
[Crossref] [PubMed]

M. Greenberg and M. Orenstein, “Multimode add-drop multiplexing by adiabatic linearly tapered coupling,” Opt. Express 13(23), 9381–9387 (2005).
[Crossref] [PubMed]

M. L. Cooper and S. Mookherjea, “Numerically-assisted coupled-mode theory for silicon waveguide couplers and arrayed waveguides,” Opt. Express 17(3),1583–1599 (2009).
[Crossref] [PubMed]

Opt. Lett. (5)

Phys. Rev. A (1)

X.-J. Lu, X. Chen, A. Ruschhaupt, D. Alonso, S. Guérin, and J. G. Muga, “Fast and robust population transfer in two-level quantum systems with dephasing noise and/or systematic frequency errors,” Phys. Rev. A 88(3), 033406 (2013).
[Crossref]

Phys. Rev. Lett. (1)

D. Daems, A. Ruschhaupt, D. Sugny, and S. Guérin, “Robust quantum control by a single-shot shaped pulse,” Phys. Rev. Lett. 111(5), 050404 (2013).
[Crossref] [PubMed]

Prog. Electromagn. Res. (1)

D. Dai, J. Wang, and S. He, “Silicon multimode photonic integrated devices for on-chip mode-division-multiplexed optical interconnects,” Prog. Electromagn. Res. 143, 773–819 (2013).
[Crossref]

Rev. Mod. Phys. (1)

K. Bergmann, H. Theuer, and B. W. Shore, “Coherent population transfer among quantum states of atoms and molecules,” Rev. Mod. Phys. 70(3), 1003–1025 (1998).
[Crossref]

Other (1)

FIMMWAVE/FIMMPROP, Photon Design Ltd, http:/www.photond.com .

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (9)

Fig. 1
Fig. 1 Schematic of an asymmetric directional coupler mode (de)multiplexer.
Fig. 2
Fig. 2 Effective indices of the first four TM modes of 340 nm thick SOI waveguides.
Fig. 3
Fig. 3 The chosen set of coupling coefficient Ω and propagation constants mismatch Δ in Eqs. (6) and (7) for the design of mode (de)multiplexers. L is the device length.
Fig. 4
Fig. 4 Designed mode (de)multiplexers using STA and the corresponding light propagation simulations for coupling in to the TMm mode in the bus waveguide: (a) m=1, (b) m=2, and (c) m=3. White lines indicate the waveguide boundaries.
Fig. 5
Fig. 5 Device parameters for the mode (de)multiplexers in Fig. 4. (a) m=1, (b) m=2, and (c) m=3.
Fig. 6
Fig. 6 Simulated wavelength dependence of the coupling efficiency from the access waveguide to the TMm mode (m=1, 2, and 3) in the bus waveguide.
Fig. 7
Fig. 7 Simulated transmission from the access waveguide into the guided modes of the bus waveguide as a function of wavelength for the mode (de)multiplexers in Fig. 4. (a) m=1, (b) m=2, and (c) m=3.
Fig. 8
Fig. 8 Simulated coupling efficiency from the access waveguide to the TMm mode (m=1, 2, and 3) in the bus waveguide as a function of width deviation Δw.
Fig. 9
Fig. 9 Simulated transmission from the access waveguide into the guided modes of the bus waveguide as a function of width deviation Δw for the mode (de)multiplexers in Fig. 4. (a) m=1, (b) m=2, and (c) m=3.

Equations (7)

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

d d z | Ψ = i [ Δ Ω Ω Δ ] | Ψ ,
| Ψ z = [ cos ( θ / 2 ) e i ϕ / 2 sin ( θ / 2 ) e i ϕ / 2 ] e i γ ,
θ ˙ = Ω sin ϕ ϕ ˙ = Δ + Ω cos ϕ cot θ γ ˙ = θ ˙ cot ϕ sin θ
θ ( 0 ) = 0 θ ( L ) = π ,
θ ˙ ( 0 ) = 0 , θ ˙ ( L ) = 0 ,
Ω ( z ) = θ ˙ 1 + 4 M 2 sin 2 θ ,
Δ ( z ) = 2 θ ˙ cos θ [ M + 1 4 α + 6 α cos ( 2 θ ) 1 + 4 M 2 sin 2 θ ] ,

Metrics