Abstract

We propose and describe mode converter/splitter based on optical analogy of multistate stimulated Raman adiabatic passage in multimode waveguides. Computer-generated planar holograms are used to implement the coupling coefficients that mimic the optical pulses used in the transfer among quantum states of atoms and molecules. The mode coupling properties in multimode waveguides are analyzed using the coupled-mode theory and shown to resemble the multistate stimulated Raman adiabatic passage process. Key features of multistate systems are illustrated with theoretical calculations and numerical examples. Mode converter and splitter are designed based on the theoretical analysis and verified using beam propagation simulations.

© 2010 IEEE

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  1. J. B. Park, D.-M. Yeo, S.-Y. Shin, "Variable optical mode generator in a multimode waveguide," Photon. Technol. Lett. 18, 2084-2086 (2006).
  2. J. M. Castro, D. F. Geraghty, "Demonstration of mode conversion using antisymmetric waveguide Bragg gratings," Opt. Exp. 13, 4180-4184 (2005).
  3. J. M. Castro, D. F. Geraghty, S. Honkanen, C. M. Greiner, D. Iazikov, T. W. Mossberg, "Optical add-drop multiplexers based on the antisymmetric waveguide Bragg grating," Appl. Opt. 45, 1236-1243 (2006).
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  7. E. Paspalakis, "Adiabatic three-waveguide directional coupler," Opt. Commun. 258, 30-34 (2006).
  8. S. Longhi, "Adiabatic passage of light in coupled optical waveguides," Phys. Rev. E 73, 026607 (2006).
  9. A. Salandrino, K. Makris, D. N. Christodoulides, Y. Lahini, Y. Silberberg, R. Morandotti, "Analysis of a three-core adiabatic directional coupler," Opt. Commun. 282, 4524-4526 (2009).
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  13. N. V. Vitanov, "Adiabatic population transfer by delayed laser pulsed in multistate systems," Phys. Rev. A 58, 2295-2309 (1998).
  14. G. D. Valle, M. Ornigotti, T. T. Fernandez, P. Laporta, S. Longhi, A. Coppa, V. Foglietti, "Adiabatic light transfer via dressed states in optical waveguide arrays," Appl. Phys. Lett. 92, 011106 (2008).
  15. S.-Y. Tseng, Y. Kim, C. J. K. Richardson, J. Goldhar, "Implementation of discrete unitary transformations by multimode waveguide holograms," Appl. Opt. 45, 4864-4872 (2006).
  16. D. Marcuse, Theory of Dielectric Optical Waveguides (Academic, 1991).
  17. S.-Y. Tseng, C. Fuentes-Hernandez, D. Owens, B. Kippelen, "Variable splitting ratio 2$\,{\times}$2 MMI couplers using multimode waveguide holograms," Opt. Exp. 15, 9015-9021 (2007).
  18. A. V. Smith, "Numerical studies of adiabatic population inversion in multilevel systems," J. Opt. Soc. Amer. B 9, 1543-1551 (1992).
  19. A. B. Fallahkhair, K. S. Li, T. Murphy, "Vector finite difference modesolver for anisotropic dielectric waveguides," J. Lightw. Technol. 26, 1423-1431 (2008).
  20. G. R. Hadley, "Wide-angle beam propagation using Padé approximation operators," Opt. Lett. 17, 1426-1428 (1992).
  21. N. V. Vitanov, B. W. Shore, K. Bergmann, "Adiabatic population transfer in multistate chains via dressed intermediate states," Eur. Phys. J. D 4, 15-29 (1998).
  22. N. V. Vitanov, K.-A. Suominen, K. Bergmann, "Creation of coherent atomic superpositions by fractional stimulated Raman adiabatic passage," J. Phys. B: At. Mol. Opt. Phys. 32, 4535-4546 (1999).
  23. F. Dreisow, M. Ornigotti, A. Szameit, M. Heinrich, R. Keil, S. Nolte, A. Tünnermann, S. Longhi, "Polychromatic beam splitting by fractional stimulated Raman adiabatic passage," Appl. Phys. Lett. 95, 261102 (2009).
  24. S.-Y. Tseng, S. Choi, B. Kippelen, "Variable-ratio power splitters using computer-generated planar holograms on multimode interference couplers," Opt. Lett. 34, 512-514 (2009).
  25. A. Sure, T. Dillon, J. Murakowski, C. Lin, D. Pustai, D. W. Prather, "Fabrication and characterization of three-dimensional silicon tapers," Opt. Exp. 11, 3555-3561 (2003).

2010 (1)

S.-Y. Tseng, M.-C. Wu, "Adiabatic mode conversion in multimode waveguides using computer-generated planar holograms," Photon. Technol. Lett. 22, 1211-1213 (2010).

2009 (5)

S. Longhi, "Quantum-optical analogies using photonic structures," Laser & Photon. Rev. 3, 243-161 (2009).

A. Salandrino, K. Makris, D. N. Christodoulides, Y. Lahini, Y. Silberberg, R. Morandotti, "Analysis of a three-core adiabatic directional coupler," Opt. Commun. 282, 4524-4526 (2009).

F. Dreisow, M. Ornigotti, A. Szameit, M. Heinrich, R. Keil, S. Nolte, A. Tünnermann, S. Longhi, "Polychromatic beam splitting by fractional stimulated Raman adiabatic passage," Appl. Phys. Lett. 95, 261102 (2009).

S.-Y. Tseng, S. Choi, B. Kippelen, "Variable-ratio power splitters using computer-generated planar holograms on multimode interference couplers," Opt. Lett. 34, 512-514 (2009).

H.-C. Liu, A. Yariv, "Grating induced transparency (GIT) and the dark mode in optical waveguides," Opt. Express 17, 11710-11718 (2009).

2008 (2)

A. B. Fallahkhair, K. S. Li, T. Murphy, "Vector finite difference modesolver for anisotropic dielectric waveguides," J. Lightw. Technol. 26, 1423-1431 (2008).

G. D. Valle, M. Ornigotti, T. T. Fernandez, P. Laporta, S. Longhi, A. Coppa, V. Foglietti, "Adiabatic light transfer via dressed states in optical waveguide arrays," Appl. Phys. Lett. 92, 011106 (2008).

2007 (1)

S.-Y. Tseng, C. Fuentes-Hernandez, D. Owens, B. Kippelen, "Variable splitting ratio 2$\,{\times}$2 MMI couplers using multimode waveguide holograms," Opt. Exp. 15, 9015-9021 (2007).

2006 (5)

E. Paspalakis, "Adiabatic three-waveguide directional coupler," Opt. Commun. 258, 30-34 (2006).

S. Longhi, "Adiabatic passage of light in coupled optical waveguides," Phys. Rev. E 73, 026607 (2006).

J. B. Park, D.-M. Yeo, S.-Y. Shin, "Variable optical mode generator in a multimode waveguide," Photon. Technol. Lett. 18, 2084-2086 (2006).

J. M. Castro, D. F. Geraghty, S. Honkanen, C. M. Greiner, D. Iazikov, T. W. Mossberg, "Optical add-drop multiplexers based on the antisymmetric waveguide Bragg grating," Appl. Opt. 45, 1236-1243 (2006).

S.-Y. Tseng, Y. Kim, C. J. K. Richardson, J. Goldhar, "Implementation of discrete unitary transformations by multimode waveguide holograms," Appl. Opt. 45, 4864-4872 (2006).

2005 (1)

J. M. Castro, D. F. Geraghty, "Demonstration of mode conversion using antisymmetric waveguide Bragg gratings," Opt. Exp. 13, 4180-4184 (2005).

2003 (1)

A. Sure, T. Dillon, J. Murakowski, C. Lin, D. Pustai, D. W. Prather, "Fabrication and characterization of three-dimensional silicon tapers," Opt. Exp. 11, 3555-3561 (2003).

2000 (1)

1999 (1)

N. V. Vitanov, K.-A. Suominen, K. Bergmann, "Creation of coherent atomic superpositions by fractional stimulated Raman adiabatic passage," J. Phys. B: At. Mol. Opt. Phys. 32, 4535-4546 (1999).

1998 (4)

N. V. Vitanov, B. W. Shore, K. Bergmann, "Adiabatic population transfer in multistate chains via dressed intermediate states," Eur. Phys. J. D 4, 15-29 (1998).

K. Bergmann, H. Theuer, B. W. Shore, "Coherent population transfer among quantum states of atoms and molecules," Rev. Mod. Phys. 70, 1003-1025 (1998).

N. V. Vitanov, "Adiabatic population transfer by delayed laser pulsed in multistate systems," Phys. Rev. A 58, 2295-2309 (1998).

A. Yariv, "Frustration of Bragg reflection by cooperative dual-mode interference: A new mode of optical propagation," Opt. Lett. 23, 1835-1836 (1998).

1992 (2)

A. V. Smith, "Numerical studies of adiabatic population inversion in multilevel systems," J. Opt. Soc. Amer. B 9, 1543-1551 (1992).

G. R. Hadley, "Wide-angle beam propagation using Padé approximation operators," Opt. Lett. 17, 1426-1428 (1992).

Appl. Opt. (3)

Appl. Phys. Lett. (2)

G. D. Valle, M. Ornigotti, T. T. Fernandez, P. Laporta, S. Longhi, A. Coppa, V. Foglietti, "Adiabatic light transfer via dressed states in optical waveguide arrays," Appl. Phys. Lett. 92, 011106 (2008).

F. Dreisow, M. Ornigotti, A. Szameit, M. Heinrich, R. Keil, S. Nolte, A. Tünnermann, S. Longhi, "Polychromatic beam splitting by fractional stimulated Raman adiabatic passage," Appl. Phys. Lett. 95, 261102 (2009).

Eur. Phys. J. D (1)

N. V. Vitanov, B. W. Shore, K. Bergmann, "Adiabatic population transfer in multistate chains via dressed intermediate states," Eur. Phys. J. D 4, 15-29 (1998).

J. Lightw. Technol. (1)

A. B. Fallahkhair, K. S. Li, T. Murphy, "Vector finite difference modesolver for anisotropic dielectric waveguides," J. Lightw. Technol. 26, 1423-1431 (2008).

J. Opt. Soc. Amer. B (1)

A. V. Smith, "Numerical studies of adiabatic population inversion in multilevel systems," J. Opt. Soc. Amer. B 9, 1543-1551 (1992).

J. Phys. B: At. Mol. Opt. Phys. (1)

N. V. Vitanov, K.-A. Suominen, K. Bergmann, "Creation of coherent atomic superpositions by fractional stimulated Raman adiabatic passage," J. Phys. B: At. Mol. Opt. Phys. 32, 4535-4546 (1999).

Laser & Photon. Rev. (1)

S. Longhi, "Quantum-optical analogies using photonic structures," Laser & Photon. Rev. 3, 243-161 (2009).

Opt. Commun. (2)

E. Paspalakis, "Adiabatic three-waveguide directional coupler," Opt. Commun. 258, 30-34 (2006).

A. Salandrino, K. Makris, D. N. Christodoulides, Y. Lahini, Y. Silberberg, R. Morandotti, "Analysis of a three-core adiabatic directional coupler," Opt. Commun. 282, 4524-4526 (2009).

Opt. Exp. (3)

S.-Y. Tseng, C. Fuentes-Hernandez, D. Owens, B. Kippelen, "Variable splitting ratio 2$\,{\times}$2 MMI couplers using multimode waveguide holograms," Opt. Exp. 15, 9015-9021 (2007).

J. M. Castro, D. F. Geraghty, "Demonstration of mode conversion using antisymmetric waveguide Bragg gratings," Opt. Exp. 13, 4180-4184 (2005).

A. Sure, T. Dillon, J. Murakowski, C. Lin, D. Pustai, D. W. Prather, "Fabrication and characterization of three-dimensional silicon tapers," Opt. Exp. 11, 3555-3561 (2003).

Opt. Express (1)

Opt. Lett. (3)

Photon. Technol. Lett. (2)

S.-Y. Tseng, M.-C. Wu, "Adiabatic mode conversion in multimode waveguides using computer-generated planar holograms," Photon. Technol. Lett. 22, 1211-1213 (2010).

J. B. Park, D.-M. Yeo, S.-Y. Shin, "Variable optical mode generator in a multimode waveguide," Photon. Technol. Lett. 18, 2084-2086 (2006).

Phys. Rev. A (1)

N. V. Vitanov, "Adiabatic population transfer by delayed laser pulsed in multistate systems," Phys. Rev. A 58, 2295-2309 (1998).

Phys. Rev. E (1)

S. Longhi, "Adiabatic passage of light in coupled optical waveguides," Phys. Rev. E 73, 026607 (2006).

Rev. Mod. Phys. (1)

K. Bergmann, H. Theuer, B. W. Shore, "Coherent population transfer among quantum states of atoms and molecules," Rev. Mod. Phys. 70, 1003-1025 (1998).

Other (1)

D. Marcuse, Theory of Dielectric Optical Waveguides (Academic, 1991).

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