Storage of ultrashort optical pulses in a resonantly absorbing Bragg reflector

doi:10.1364/OE.11.003277

Storage of ultrashort optical pulses in a resonantly absorbing Bragg reflector

W. Xiao, J. Zhou, and J. Prineas »View Author Affiliations

Optics Express, Vol. 11, Issue 24, pp. 3277-3283 (2003)
http://dx.doi.org/10.1364/OE.11.003277

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Abstract

A practical method of slowing and stopping an incident ultra-short light pulse with a resonantly absorbing Bragg reflector is demonstrated numerically. It is shown that an incident laser pulse with suitable pulse area evolves from a given pulse waveform into a stable, spatially-localized oscillating or standing gap soliton. We show that multiple gap solitons can be simultaneously spatially localized, resulting in efficient optical energy conversion and storage in the resonantly absorbing Bragg structure as atomically coherent states.

OCIS Codes
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons

ToC Category:
Research Papers

History
Original Manuscript: August 29, 2003
Revised Manuscript: November 17, 2003
Published: December 1, 2003

Citation
W. Xiao, J. Zhou, and J. Prineas, "Storage of ultrashort optical pulses in a resonantly absorbing Bragg reflector," Opt. Express 11, 3277-3283 (2003)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-11-24-3277

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References

R. E. Slusher and B. J. Eggleton (editors), Nonlinear Photonic Crystals (Springer-Verlag, Berlin, Heidelberg, 2003).
B. I. Mantsyzov and R. N. Kuz�??min, �??Coherent interaction of light with a discrete periodic resonant medium,�?? Sov. Phys. JETP 64, 37�??44 (1986).
W. Chen and D. L. Mills, �??Gap solitons and the nonlinear optical response of superlattices,�?? Phys. Rev. Lett. 58, 160 (1987). [CrossRef] [PubMed]
A. Kozhekin and G. Kurizki, �??Self-induced transparency in Bragg reflectors: gap solitons near absorption resonances,�?? Phys. Rev. Lett. 74, 5020 (1995) [CrossRef] [PubMed]
A. E. Kozhekin and G. Kurizki, �??Standing and moving gap solitons in resonantly absorbing gratings,�?? Phys. Rev. Lett. 81, 3647 (1998). [CrossRef]
G. Kurizki, A. E. Kozhekin, T. Opatrny, B. A. Malomed, �??Optical solitons in periodic media with resonant and off-resonant nonlinearities,�?? Progress in Optics 42, ed. E. Wolf, 93�??140 (2001). [CrossRef]
C. Conti, G. Assanto and S. Trillo, �??Gap solitons and slow light,�?? J. Nonlinear Opt. Phys. & Mat. 11, 239�??259 (2002). [CrossRef]
B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug, and J. E. Sipe, �??Bragg grating solitons,�?? Phys. Rev. Lett. 76, 1627 (1996). [CrossRef] [PubMed]
N. G. R. Broderick, P. Millar, D. J. Richardson, J. S. Aitchson, R. De La Rue, and T. Krauss, �??Spectral features associated with nonlinear pulse compression in Bragg gratings,�?? Opt. Lett. 25, 740 (2000). [CrossRef]
N. G. R. Broderick, D. J. Richarson, and M. Ibsen, �??Nonlinear switching in a 20-cm-long fiber Bragg grating,�?? Opt. Lett. 25, 536 (2000). [CrossRef]
B. I. Mantsyzov, �??Gap 2�? pulse with an inhomogeneously broadened line and an oscillating solitary wave,�?? Phys. Rev. A 51, 4939 (1995). [CrossRef] [PubMed]
N. Akozbek and S. John, �??Self-induced transparency solitary waves in a doped nonlinear photonic band gap material,�?? Phys. Rev. E 58, 3876 (1998). [CrossRef]
M. Hübner, J. Prineas, C. Ell, P. Brick, E.S. Lee, G. Khitrova, H.M. Gibbs, and S.W. Koch, �??Optical lattices achieved by excitons in periodic quantum well structures,�?? Phys. Rev. Lett. 83, 2841 (1999). [CrossRef]
J.P. Prineas, J.Y. Zhou, J. Kuhl, H. M. Gibbs, G. Khitrova, S. W. Koch, A. Knorr, �??Ultrafast ac Stark effect switching of active photonic bandgap from Bragg-periodic semiconductor quantum wells,�?? Appl. Phys. Lett. 81, 4332 (2002). [CrossRef]
J. P. Prineas, C. Ell, E. S. Lee, G. Khitrova, H. M. Gibbs, and S. W. Koch, �??Exciton-polariton eigenmodes in light-coupled In0.04Ga0.96As/GaAs semiconductor multiple quantum-well structures,�?? Phys. Rev. B, 61, 13863 (2000). [CrossRef]
D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, �??Storage of light in atomic vapor,�?? Phys. Rev. Lett. 86, 783 (2001). [CrossRef] [PubMed]
V. G. Arkhipkin and I. V. Timofeev, �??Electromagnetically induced transparency: writing, storing, and reading short optical pulses,�?? JETP Letters 76, 66 (2002). [CrossRef]
S.L. McCall and E.L. Hahn, Phys. Rev. 183, 457 (1969) [CrossRef]
P. Meystre and M. Sagent III, Elements of Quantum Optics (Springer-Verlag, World Publishing Corp., 1992).
E. L. Ivchenko, A. I. Nesvizhskii, and S. Jorda, �??Bragg reflection of light from quantum wells�?? Fiz. Tverd. Tela (St. Petersburg) 36, 2118 (1994) [Phys. Solid State 36, 1156 (1994)].
M. Hübner, J. Kuhl, T. Stroucken, A. Knorr, S. W. Koch, R. Hey, and K. Ploog, �??Collective effects of excitons in multiple-quantum-well Bragg and anti-Bragg structures,�?? Phys. Rev. Lett. 76, 4199 (1996). [CrossRef] [PubMed]
B. I. Mantsyzov and R. A. Sil�??nikov, �??Oscillating gap 2�? pulse in resonantly absorbing lattice,�?? JETP Letters 74, 456�??459 (2001). [CrossRef]
B. I. Mantsyzov and R. A. Silnikov, �??Unstable excited and stable oscillating gap 2�? pulses,�?? J. Opt. Soc. Am B19, 2203-2207 (2002).
P. Tran, �??Optical switching with a nonlinear photonic crystal: a numerical study,�?? Opt. Lett. 21, 1138�??1140 (1996). [CrossRef] [PubMed]
A. Andre and M.D. Lukin, �??Manupulating light pulses via dynamically controlled photonic band gap,�?? Phys. Rev. Lett. 89, 143602 (2002). [CrossRef] [PubMed]
S. Chi, B. Luo, H.Y. Tseng, �??Ultrashort Bragg soliton in a fiber Bragg grating,�?? Opt. Comm. 206, 115�??121 (2002) [CrossRef]
J. Cheng, J. Y. Zhou, �??Effects of the near-dipole-dipole interaction on gap solitons in resonantly absorbing gratings,�?? Phys. Rev. E 66, 036606 (2002). [CrossRef]

Appl. Phys. Lett.

J.P. Prineas, J.Y. Zhou, J. Kuhl, H. M. Gibbs, G. Khitrova, S. W. Koch, A. Knorr, �??Ultrafast ac Stark effect switching of active photonic bandgap from Bragg-periodic semiconductor quantum wells,�?? Appl. Phys. Lett. 81, 4332 (2002). [CrossRef]

J. Nonlinear Opt. Phys. & Mat.

C. Conti, G. Assanto and S. Trillo, �??Gap solitons and slow light,�?? J. Nonlinear Opt. Phys. & Mat. 11, 239�??259 (2002). [CrossRef]

J. Opt. Soc. Am B

B. I. Mantsyzov and R. A. Silnikov, �??Unstable excited and stable oscillating gap 2�? pulses,�?? J. Opt. Soc. Am B19, 2203-2207 (2002).

JETP Letters

B. I. Mantsyzov and R. A. Sil�??nikov, �??Oscillating gap 2�? pulse in resonantly absorbing lattice,�?? JETP Letters 74, 456�??459 (2001). [CrossRef]
V. G. Arkhipkin and I. V. Timofeev, �??Electromagnetically induced transparency: writing, storing, and reading short optical pulses,�?? JETP Letters 76, 66 (2002). [CrossRef]

Opt. Comm.

S. Chi, B. Luo, H.Y. Tseng, �??Ultrashort Bragg soliton in a fiber Bragg grating,�?? Opt. Comm. 206, 115�??121 (2002) [CrossRef]

Opt. Lett.

Phys. Rev.

S.L. McCall and E.L. Hahn, Phys. Rev. 183, 457 (1969) [CrossRef]

Phys. Rev. A

B. I. Mantsyzov, �??Gap 2�? pulse with an inhomogeneously broadened line and an oscillating solitary wave,�?? Phys. Rev. A 51, 4939 (1995). [CrossRef] [PubMed]

Phys. Rev. B

J. P. Prineas, C. Ell, E. S. Lee, G. Khitrova, H. M. Gibbs, and S. W. Koch, �??Exciton-polariton eigenmodes in light-coupled In0.04Ga0.96As/GaAs semiconductor multiple quantum-well structures,�?? Phys. Rev. B, 61, 13863 (2000). [CrossRef]

Phys. Rev. E

N. Akozbek and S. John, �??Self-induced transparency solitary waves in a doped nonlinear photonic band gap material,�?? Phys. Rev. E 58, 3876 (1998). [CrossRef]
J. Cheng, J. Y. Zhou, �??Effects of the near-dipole-dipole interaction on gap solitons in resonantly absorbing gratings,�?? Phys. Rev. E 66, 036606 (2002). [CrossRef]

Phys. Rev. Lett.

A. Andre and M.D. Lukin, �??Manupulating light pulses via dynamically controlled photonic band gap,�?? Phys. Rev. Lett. 89, 143602 (2002). [CrossRef] [PubMed]
M. Hübner, J. Kuhl, T. Stroucken, A. Knorr, S. W. Koch, R. Hey, and K. Ploog, �??Collective effects of excitons in multiple-quantum-well Bragg and anti-Bragg structures,�?? Phys. Rev. Lett. 76, 4199 (1996). [CrossRef] [PubMed]
M. Hübner, J. Prineas, C. Ell, P. Brick, E.S. Lee, G. Khitrova, H.M. Gibbs, and S.W. Koch, �??Optical lattices achieved by excitons in periodic quantum well structures,�?? Phys. Rev. Lett. 83, 2841 (1999). [CrossRef]
D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, �??Storage of light in atomic vapor,�?? Phys. Rev. Lett. 86, 783 (2001). [CrossRef] [PubMed]
B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug, and J. E. Sipe, �??Bragg grating solitons,�?? Phys. Rev. Lett. 76, 1627 (1996). [CrossRef] [PubMed]
W. Chen and D. L. Mills, �??Gap solitons and the nonlinear optical response of superlattices,�?? Phys. Rev. Lett. 58, 160 (1987). [CrossRef] [PubMed]
A. Kozhekin and G. Kurizki, �??Self-induced transparency in Bragg reflectors: gap solitons near absorption resonances,�?? Phys. Rev. Lett. 74, 5020 (1995) [CrossRef] [PubMed]
A. E. Kozhekin and G. Kurizki, �??Standing and moving gap solitons in resonantly absorbing gratings,�?? Phys. Rev. Lett. 81, 3647 (1998). [CrossRef]

Phys. Solid State

E. L. Ivchenko, A. I. Nesvizhskii, and S. Jorda, �??Bragg reflection of light from quantum wells�?? Fiz. Tverd. Tela (St. Petersburg) 36, 2118 (1994) [Phys. Solid State 36, 1156 (1994)].

Progress in Optics

G. Kurizki, A. E. Kozhekin, T. Opatrny, B. A. Malomed, �??Optical solitons in periodic media with resonant and off-resonant nonlinearities,�?? Progress in Optics 42, ed. E. Wolf, 93�??140 (2001). [CrossRef]

Sov. Phys. JETP

B. I. Mantsyzov and R. N. Kuz�??min, �??Coherent interaction of light with a discrete periodic resonant medium,�?? Sov. Phys. JETP 64, 37�??44 (1986).

Other

R. E. Slusher and B. J. Eggleton (editors), Nonlinear Photonic Crystals (Springer-Verlag, Berlin, Heidelberg, 2003).
P. Meystre and M. Sagent III, Elements of Quantum Optics (Springer-Verlag, World Publishing Corp., 1992).

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[1] R. E. Slusher and B. J. Eggleton (editors), Nonlinear Photonic Crystals (Springer-Verlag, Berlin, Heidelberg, 2003).

[2] B. I. Mantsyzov and R. N. Kuz�??min, �??Coherent interaction of light with a discrete periodic resonant medium,�?? Sov. Phys. JETP 64, 37�??44 (1986).

[3] W. Chen and D. L. Mills, �??Gap solitons and the nonlinear optical response of superlattices,�?? Phys. Rev. Lett. 58, 160 (1987). [CrossRef] [PubMed]

[4] A. Kozhekin and G. Kurizki, �??Self-induced transparency in Bragg reflectors: gap solitons near absorption resonances,�?? Phys. Rev. Lett. 74, 5020 (1995) [CrossRef] [PubMed]

[5] A. E. Kozhekin and G. Kurizki, �??Standing and moving gap solitons in resonantly absorbing gratings,�?? Phys. Rev. Lett. 81, 3647 (1998). [CrossRef]

[6] G. Kurizki, A. E. Kozhekin, T. Opatrny, B. A. Malomed, �??Optical solitons in periodic media with resonant and off-resonant nonlinearities,�?? Progress in Optics 42, ed. E. Wolf, 93�??140 (2001). [CrossRef]

[7] C. Conti, G. Assanto and S. Trillo, �??Gap solitons and slow light,�?? J. Nonlinear Opt. Phys. & Mat. 11, 239�??259 (2002). [CrossRef]

[8] B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug, and J. E. Sipe, �??Bragg grating solitons,�?? Phys. Rev. Lett. 76, 1627 (1996). [CrossRef] [PubMed]

[9] N. G. R. Broderick, P. Millar, D. J. Richardson, J. S. Aitchson, R. De La Rue, and T. Krauss, �??Spectral features associated with nonlinear pulse compression in Bragg gratings,�?? Opt. Lett. 25, 740 (2000). [CrossRef]

[10] N. G. R. Broderick, D. J. Richarson, and M. Ibsen, �??Nonlinear switching in a 20-cm-long fiber Bragg grating,�?? Opt. Lett. 25, 536 (2000). [CrossRef]

[11] B. I. Mantsyzov, �??Gap 2�? pulse with an inhomogeneously broadened line and an oscillating solitary wave,�?? Phys. Rev. A 51, 4939 (1995). [CrossRef] [PubMed]

[12] N. Akozbek and S. John, �??Self-induced transparency solitary waves in a doped nonlinear photonic band gap material,�?? Phys. Rev. E 58, 3876 (1998). [CrossRef]

[13] M. Hübner, J. Prineas, C. Ell, P. Brick, E.S. Lee, G. Khitrova, H.M. Gibbs, and S.W. Koch, �??Optical lattices achieved by excitons in periodic quantum well structures,�?? Phys. Rev. Lett. 83, 2841 (1999). [CrossRef]

[14] J.P. Prineas, J.Y. Zhou, J. Kuhl, H. M. Gibbs, G. Khitrova, S. W. Koch, A. Knorr, �??Ultrafast ac Stark effect switching of active photonic bandgap from Bragg-periodic semiconductor quantum wells,�?? Appl. Phys. Lett. 81, 4332 (2002). [CrossRef]

[15] J. P. Prineas, C. Ell, E. S. Lee, G. Khitrova, H. M. Gibbs, and S. W. Koch, �??Exciton-polariton eigenmodes in light-coupled In0.04Ga0.96As/GaAs semiconductor multiple quantum-well structures,�?? Phys. Rev. B, 61, 13863 (2000). [CrossRef]

[16] D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, �??Storage of light in atomic vapor,�?? Phys. Rev. Lett. 86, 783 (2001). [CrossRef] [PubMed]

[17] V. G. Arkhipkin and I. V. Timofeev, �??Electromagnetically induced transparency: writing, storing, and reading short optical pulses,�?? JETP Letters 76, 66 (2002). [CrossRef]

[18] S.L. McCall and E.L. Hahn, Phys. Rev. 183, 457 (1969) [CrossRef]

[19] P. Meystre and M. Sagent III, Elements of Quantum Optics (Springer-Verlag, World Publishing Corp., 1992).

[20] E. L. Ivchenko, A. I. Nesvizhskii, and S. Jorda, �??Bragg reflection of light from quantum wells�?? Fiz. Tverd. Tela (St. Petersburg) 36, 2118 (1994) [Phys. Solid State 36, 1156 (1994)].

[21] M. Hübner, J. Kuhl, T. Stroucken, A. Knorr, S. W. Koch, R. Hey, and K. Ploog, �??Collective effects of excitons in multiple-quantum-well Bragg and anti-Bragg structures,�?? Phys. Rev. Lett. 76, 4199 (1996). [CrossRef] [PubMed]

[22] B. I. Mantsyzov and R. A. Sil�??nikov, �??Oscillating gap 2�? pulse in resonantly absorbing lattice,�?? JETP Letters 74, 456�??459 (2001). [CrossRef]

[23] B. I. Mantsyzov and R. A. Silnikov, �??Unstable excited and stable oscillating gap 2�? pulses,�?? J. Opt. Soc. Am B19, 2203-2207 (2002).

[24] P. Tran, �??Optical switching with a nonlinear photonic crystal: a numerical study,�?? Opt. Lett. 21, 1138�??1140 (1996). [CrossRef] [PubMed]

[25] A. Andre and M.D. Lukin, �??Manupulating light pulses via dynamically controlled photonic band gap,�?? Phys. Rev. Lett. 89, 143602 (2002). [CrossRef] [PubMed]

[26] S. Chi, B. Luo, H.Y. Tseng, �??Ultrashort Bragg soliton in a fiber Bragg grating,�?? Opt. Comm. 206, 115�??121 (2002) [CrossRef]

[27] J. Cheng, J. Y. Zhou, �??Effects of the near-dipole-dipole interaction on gap solitons in resonantly absorbing gratings,�?? Phys. Rev. E 66, 036606 (2002). [CrossRef]

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Storage of ultrashort optical pulses in a resonantly absorbing Bragg reflector

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Abstract

References

Appl. Phys. Lett.

J. Nonlinear Opt. Phys. & Mat.

J. Opt. Soc. Am B

JETP Letters

Opt. Comm.

Opt. Lett.

Phys. Rev.

Phys. Rev. A

Phys. Rev. B

Phys. Rev. E

Phys. Rev. Lett.

Phys. Solid State

Progress in Optics

Sov. Phys. JETP

Other

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