Abstract

We performed optical image propagation experiments in an image resonator consisting of a Fabry-Perot resonator in reflection geometry. Two-dimensional images encoded on optical pulses of 32ns were stored, and either advanced, −6.0ns, or delayed, 10.9ns, using the dispersion relation relevant to the image resonator, in the under- or over- coupling condition, respectively. The overall images are propagated through the resonator clearly, while the diffraction effects were analyzed both in real-space and in k-space.

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  1. M. A. I. Talukder, Y. Amagishi, and M. Tomita, “Superluminal to subluminal transition in the pulse propagation in a resonantly absorbing medium,” Phys. Rev. Lett. 86(16), 3546–3549 (2001).
    [CrossRef] [PubMed]
  2. L. J. Wang, A. Kuzmich, and A. Dogariu, “Gain-assisted superluminal light propagation,” Nature 406(6793), 277–279 (2000).
    [CrossRef] [PubMed]
  3. M. D. Stenner, D. J. Gauthier, and M. A. Neifeld, “The speed of information in a ‘fast-light’ optical medium,” Nature 425(6959), 695–698 (2003).
    [CrossRef] [PubMed]
  4. Feature issue; “Slow light and its applications,” J. Opt. Soc. Am. B 25, C39–C115 (2008).
  5. Focus issue; “Slow light,” Nat. Photonics 2, 447–509 (2008).
  6. L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, “Light speed reduction to 17 metres per second in an ultracold atomic gas,” Nature 397(6720), 594–598 (1999).
    [CrossRef]
  7. D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, “Storage of light in atomic vapor,” Phys. Rev. Lett. 86(5), 783–786 (2001).
    [CrossRef] [PubMed]
  8. C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, “Observation of coherent optical information storage in an atomic medium using halted light pulses,” Nature 409(6819), 490–493 (2001).
    [CrossRef] [PubMed]
  9. M. Notomi, E. Kuramochi, and T. Tanabe, “Large-scale arrays of ultrahigh-Q coupled nanocavities,” Nat. Photonics 2(12), 741–747 (2008).
    [CrossRef]
  10. S. Mookherjea, J. S. Park, S. Yang, and P. R. Bandaru, “Localization in silicon nanophotonic slow-light waveguides,” Nat. Photonics 2(2), 90–93 (2008).
    [CrossRef]
  11. K. Totsuka, N. Kobayashi, and M. Tomita, “Slow light in coupled-resonator-induced transparency,” Phys. Rev. Lett. 98(21), 213904 (2007).
    [CrossRef] [PubMed]
  12. M. F. Yanik, W. Suh, Z. Wang, and S. Fan, “Stopping light in a waveguide with an all-optical analog of electromagnetically induced transparency,” Phys. Rev. Lett. 93(23), 233903 (2004).
    [CrossRef] [PubMed]
  13. R. M. Camacho, C. J. Broadbent, I. Ali-Khan, and J. C. Howell, “All-optical delay of images using slow light,” Phys. Rev. Lett. 98(4), 043902 (2007).
    [CrossRef] [PubMed]
  14. P. K. Vudyasetu, R. M. Camacho, and J. C. Howell, “Storage and retrieval of multimode transverse images in hot atomic Rubidium vapor,” Phys. Rev. Lett. 100(12), 123903 (2008).
    [CrossRef] [PubMed]
  15. M. Shuker, O. Firstenberg, R. Pugatch, A. Ron, and N. Davidson, “Storing images in warm atomic vapor,” Phys. Rev. Lett. 100(22), 223601 (2008).
    [CrossRef] [PubMed]
  16. K. Totsuka and M. Tomita, “Slow and fast light in a microsphere–optical fiber system,” J. Opt. Soc. Am. B 23(10), 2194–2199 (2006).
    [CrossRef]
  17. J. W. Goodman, Introduction to Fourier Optics, Roberts & Co., (2004).
  18. A. I. Talukder, T. Haruta, and M. Tomita, “Measurement of net group and reshaping delays for optical pulses in dispersive media,” Phys. Rev. Lett. 94(22), 223901 (2005).
    [CrossRef] [PubMed]
  19. Q. Xu, P. Ding, and M. Lipson, “Breaking the delay-bandwidth limit in a photonic structure,” Nat. Phys. 3(6), 406–410 (2007).
    [CrossRef]

2008

Focus issue; “Slow light,” Nat. Photonics 2, 447–509 (2008).

M. Notomi, E. Kuramochi, and T. Tanabe, “Large-scale arrays of ultrahigh-Q coupled nanocavities,” Nat. Photonics 2(12), 741–747 (2008).
[CrossRef]

S. Mookherjea, J. S. Park, S. Yang, and P. R. Bandaru, “Localization in silicon nanophotonic slow-light waveguides,” Nat. Photonics 2(2), 90–93 (2008).
[CrossRef]

P. K. Vudyasetu, R. M. Camacho, and J. C. Howell, “Storage and retrieval of multimode transverse images in hot atomic Rubidium vapor,” Phys. Rev. Lett. 100(12), 123903 (2008).
[CrossRef] [PubMed]

M. Shuker, O. Firstenberg, R. Pugatch, A. Ron, and N. Davidson, “Storing images in warm atomic vapor,” Phys. Rev. Lett. 100(22), 223601 (2008).
[CrossRef] [PubMed]

Feature issue; “Slow light and its applications,” J. Opt. Soc. Am. B 25, C39–C115 (2008).

2007

R. M. Camacho, C. J. Broadbent, I. Ali-Khan, and J. C. Howell, “All-optical delay of images using slow light,” Phys. Rev. Lett. 98(4), 043902 (2007).
[CrossRef] [PubMed]

Q. Xu, P. Ding, and M. Lipson, “Breaking the delay-bandwidth limit in a photonic structure,” Nat. Phys. 3(6), 406–410 (2007).
[CrossRef]

K. Totsuka, N. Kobayashi, and M. Tomita, “Slow light in coupled-resonator-induced transparency,” Phys. Rev. Lett. 98(21), 213904 (2007).
[CrossRef] [PubMed]

2006

2005

A. I. Talukder, T. Haruta, and M. Tomita, “Measurement of net group and reshaping delays for optical pulses in dispersive media,” Phys. Rev. Lett. 94(22), 223901 (2005).
[CrossRef] [PubMed]

2004

M. F. Yanik, W. Suh, Z. Wang, and S. Fan, “Stopping light in a waveguide with an all-optical analog of electromagnetically induced transparency,” Phys. Rev. Lett. 93(23), 233903 (2004).
[CrossRef] [PubMed]

2003

M. D. Stenner, D. J. Gauthier, and M. A. Neifeld, “The speed of information in a ‘fast-light’ optical medium,” Nature 425(6959), 695–698 (2003).
[CrossRef] [PubMed]

2001

M. A. I. Talukder, Y. Amagishi, and M. Tomita, “Superluminal to subluminal transition in the pulse propagation in a resonantly absorbing medium,” Phys. Rev. Lett. 86(16), 3546–3549 (2001).
[CrossRef] [PubMed]

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, “Storage of light in atomic vapor,” Phys. Rev. Lett. 86(5), 783–786 (2001).
[CrossRef] [PubMed]

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, “Observation of coherent optical information storage in an atomic medium using halted light pulses,” Nature 409(6819), 490–493 (2001).
[CrossRef] [PubMed]

2000

L. J. Wang, A. Kuzmich, and A. Dogariu, “Gain-assisted superluminal light propagation,” Nature 406(6793), 277–279 (2000).
[CrossRef] [PubMed]

1999

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, “Light speed reduction to 17 metres per second in an ultracold atomic gas,” Nature 397(6720), 594–598 (1999).
[CrossRef]

Ali-Khan, I.

R. M. Camacho, C. J. Broadbent, I. Ali-Khan, and J. C. Howell, “All-optical delay of images using slow light,” Phys. Rev. Lett. 98(4), 043902 (2007).
[CrossRef] [PubMed]

Amagishi, Y.

M. A. I. Talukder, Y. Amagishi, and M. Tomita, “Superluminal to subluminal transition in the pulse propagation in a resonantly absorbing medium,” Phys. Rev. Lett. 86(16), 3546–3549 (2001).
[CrossRef] [PubMed]

Bandaru, P. R.

S. Mookherjea, J. S. Park, S. Yang, and P. R. Bandaru, “Localization in silicon nanophotonic slow-light waveguides,” Nat. Photonics 2(2), 90–93 (2008).
[CrossRef]

Behroozi, C. H.

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, “Observation of coherent optical information storage in an atomic medium using halted light pulses,” Nature 409(6819), 490–493 (2001).
[CrossRef] [PubMed]

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, “Light speed reduction to 17 metres per second in an ultracold atomic gas,” Nature 397(6720), 594–598 (1999).
[CrossRef]

Broadbent, C. J.

R. M. Camacho, C. J. Broadbent, I. Ali-Khan, and J. C. Howell, “All-optical delay of images using slow light,” Phys. Rev. Lett. 98(4), 043902 (2007).
[CrossRef] [PubMed]

Camacho, R. M.

P. K. Vudyasetu, R. M. Camacho, and J. C. Howell, “Storage and retrieval of multimode transverse images in hot atomic Rubidium vapor,” Phys. Rev. Lett. 100(12), 123903 (2008).
[CrossRef] [PubMed]

R. M. Camacho, C. J. Broadbent, I. Ali-Khan, and J. C. Howell, “All-optical delay of images using slow light,” Phys. Rev. Lett. 98(4), 043902 (2007).
[CrossRef] [PubMed]

Davidson, N.

M. Shuker, O. Firstenberg, R. Pugatch, A. Ron, and N. Davidson, “Storing images in warm atomic vapor,” Phys. Rev. Lett. 100(22), 223601 (2008).
[CrossRef] [PubMed]

Ding, P.

Q. Xu, P. Ding, and M. Lipson, “Breaking the delay-bandwidth limit in a photonic structure,” Nat. Phys. 3(6), 406–410 (2007).
[CrossRef]

Dogariu, A.

L. J. Wang, A. Kuzmich, and A. Dogariu, “Gain-assisted superluminal light propagation,” Nature 406(6793), 277–279 (2000).
[CrossRef] [PubMed]

Dutton, Z.

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, “Observation of coherent optical information storage in an atomic medium using halted light pulses,” Nature 409(6819), 490–493 (2001).
[CrossRef] [PubMed]

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, “Light speed reduction to 17 metres per second in an ultracold atomic gas,” Nature 397(6720), 594–598 (1999).
[CrossRef]

Fan, S.

M. F. Yanik, W. Suh, Z. Wang, and S. Fan, “Stopping light in a waveguide with an all-optical analog of electromagnetically induced transparency,” Phys. Rev. Lett. 93(23), 233903 (2004).
[CrossRef] [PubMed]

Firstenberg, O.

M. Shuker, O. Firstenberg, R. Pugatch, A. Ron, and N. Davidson, “Storing images in warm atomic vapor,” Phys. Rev. Lett. 100(22), 223601 (2008).
[CrossRef] [PubMed]

Fleischhauer, A.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, “Storage of light in atomic vapor,” Phys. Rev. Lett. 86(5), 783–786 (2001).
[CrossRef] [PubMed]

Gauthier, D. J.

M. D. Stenner, D. J. Gauthier, and M. A. Neifeld, “The speed of information in a ‘fast-light’ optical medium,” Nature 425(6959), 695–698 (2003).
[CrossRef] [PubMed]

Harris, S. E.

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, “Light speed reduction to 17 metres per second in an ultracold atomic gas,” Nature 397(6720), 594–598 (1999).
[CrossRef]

Haruta, T.

A. I. Talukder, T. Haruta, and M. Tomita, “Measurement of net group and reshaping delays for optical pulses in dispersive media,” Phys. Rev. Lett. 94(22), 223901 (2005).
[CrossRef] [PubMed]

Hau, L. V.

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, “Observation of coherent optical information storage in an atomic medium using halted light pulses,” Nature 409(6819), 490–493 (2001).
[CrossRef] [PubMed]

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, “Light speed reduction to 17 metres per second in an ultracold atomic gas,” Nature 397(6720), 594–598 (1999).
[CrossRef]

Howell, J. C.

P. K. Vudyasetu, R. M. Camacho, and J. C. Howell, “Storage and retrieval of multimode transverse images in hot atomic Rubidium vapor,” Phys. Rev. Lett. 100(12), 123903 (2008).
[CrossRef] [PubMed]

R. M. Camacho, C. J. Broadbent, I. Ali-Khan, and J. C. Howell, “All-optical delay of images using slow light,” Phys. Rev. Lett. 98(4), 043902 (2007).
[CrossRef] [PubMed]

Kobayashi, N.

K. Totsuka, N. Kobayashi, and M. Tomita, “Slow light in coupled-resonator-induced transparency,” Phys. Rev. Lett. 98(21), 213904 (2007).
[CrossRef] [PubMed]

Kuramochi, E.

M. Notomi, E. Kuramochi, and T. Tanabe, “Large-scale arrays of ultrahigh-Q coupled nanocavities,” Nat. Photonics 2(12), 741–747 (2008).
[CrossRef]

Kuzmich, A.

L. J. Wang, A. Kuzmich, and A. Dogariu, “Gain-assisted superluminal light propagation,” Nature 406(6793), 277–279 (2000).
[CrossRef] [PubMed]

Lipson, M.

Q. Xu, P. Ding, and M. Lipson, “Breaking the delay-bandwidth limit in a photonic structure,” Nat. Phys. 3(6), 406–410 (2007).
[CrossRef]

Liu, C.

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, “Observation of coherent optical information storage in an atomic medium using halted light pulses,” Nature 409(6819), 490–493 (2001).
[CrossRef] [PubMed]

Lukin, M. D.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, “Storage of light in atomic vapor,” Phys. Rev. Lett. 86(5), 783–786 (2001).
[CrossRef] [PubMed]

Mair, A.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, “Storage of light in atomic vapor,” Phys. Rev. Lett. 86(5), 783–786 (2001).
[CrossRef] [PubMed]

Mookherjea, S.

S. Mookherjea, J. S. Park, S. Yang, and P. R. Bandaru, “Localization in silicon nanophotonic slow-light waveguides,” Nat. Photonics 2(2), 90–93 (2008).
[CrossRef]

Neifeld, M. A.

M. D. Stenner, D. J. Gauthier, and M. A. Neifeld, “The speed of information in a ‘fast-light’ optical medium,” Nature 425(6959), 695–698 (2003).
[CrossRef] [PubMed]

Notomi, M.

M. Notomi, E. Kuramochi, and T. Tanabe, “Large-scale arrays of ultrahigh-Q coupled nanocavities,” Nat. Photonics 2(12), 741–747 (2008).
[CrossRef]

Park, J. S.

S. Mookherjea, J. S. Park, S. Yang, and P. R. Bandaru, “Localization in silicon nanophotonic slow-light waveguides,” Nat. Photonics 2(2), 90–93 (2008).
[CrossRef]

Phillips, D. F.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, “Storage of light in atomic vapor,” Phys. Rev. Lett. 86(5), 783–786 (2001).
[CrossRef] [PubMed]

Pugatch, R.

M. Shuker, O. Firstenberg, R. Pugatch, A. Ron, and N. Davidson, “Storing images in warm atomic vapor,” Phys. Rev. Lett. 100(22), 223601 (2008).
[CrossRef] [PubMed]

Ron, A.

M. Shuker, O. Firstenberg, R. Pugatch, A. Ron, and N. Davidson, “Storing images in warm atomic vapor,” Phys. Rev. Lett. 100(22), 223601 (2008).
[CrossRef] [PubMed]

Shuker, M.

M. Shuker, O. Firstenberg, R. Pugatch, A. Ron, and N. Davidson, “Storing images in warm atomic vapor,” Phys. Rev. Lett. 100(22), 223601 (2008).
[CrossRef] [PubMed]

Stenner, M. D.

M. D. Stenner, D. J. Gauthier, and M. A. Neifeld, “The speed of information in a ‘fast-light’ optical medium,” Nature 425(6959), 695–698 (2003).
[CrossRef] [PubMed]

Suh, W.

M. F. Yanik, W. Suh, Z. Wang, and S. Fan, “Stopping light in a waveguide with an all-optical analog of electromagnetically induced transparency,” Phys. Rev. Lett. 93(23), 233903 (2004).
[CrossRef] [PubMed]

Talukder, A. I.

A. I. Talukder, T. Haruta, and M. Tomita, “Measurement of net group and reshaping delays for optical pulses in dispersive media,” Phys. Rev. Lett. 94(22), 223901 (2005).
[CrossRef] [PubMed]

Talukder, M. A. I.

M. A. I. Talukder, Y. Amagishi, and M. Tomita, “Superluminal to subluminal transition in the pulse propagation in a resonantly absorbing medium,” Phys. Rev. Lett. 86(16), 3546–3549 (2001).
[CrossRef] [PubMed]

Tanabe, T.

M. Notomi, E. Kuramochi, and T. Tanabe, “Large-scale arrays of ultrahigh-Q coupled nanocavities,” Nat. Photonics 2(12), 741–747 (2008).
[CrossRef]

Tomita, M.

K. Totsuka, N. Kobayashi, and M. Tomita, “Slow light in coupled-resonator-induced transparency,” Phys. Rev. Lett. 98(21), 213904 (2007).
[CrossRef] [PubMed]

K. Totsuka and M. Tomita, “Slow and fast light in a microsphere–optical fiber system,” J. Opt. Soc. Am. B 23(10), 2194–2199 (2006).
[CrossRef]

A. I. Talukder, T. Haruta, and M. Tomita, “Measurement of net group and reshaping delays for optical pulses in dispersive media,” Phys. Rev. Lett. 94(22), 223901 (2005).
[CrossRef] [PubMed]

M. A. I. Talukder, Y. Amagishi, and M. Tomita, “Superluminal to subluminal transition in the pulse propagation in a resonantly absorbing medium,” Phys. Rev. Lett. 86(16), 3546–3549 (2001).
[CrossRef] [PubMed]

Totsuka, K.

K. Totsuka, N. Kobayashi, and M. Tomita, “Slow light in coupled-resonator-induced transparency,” Phys. Rev. Lett. 98(21), 213904 (2007).
[CrossRef] [PubMed]

K. Totsuka and M. Tomita, “Slow and fast light in a microsphere–optical fiber system,” J. Opt. Soc. Am. B 23(10), 2194–2199 (2006).
[CrossRef]

Vudyasetu, P. K.

P. K. Vudyasetu, R. M. Camacho, and J. C. Howell, “Storage and retrieval of multimode transverse images in hot atomic Rubidium vapor,” Phys. Rev. Lett. 100(12), 123903 (2008).
[CrossRef] [PubMed]

Walsworth, R. L.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, “Storage of light in atomic vapor,” Phys. Rev. Lett. 86(5), 783–786 (2001).
[CrossRef] [PubMed]

Wang, L. J.

L. J. Wang, A. Kuzmich, and A. Dogariu, “Gain-assisted superluminal light propagation,” Nature 406(6793), 277–279 (2000).
[CrossRef] [PubMed]

Wang, Z.

M. F. Yanik, W. Suh, Z. Wang, and S. Fan, “Stopping light in a waveguide with an all-optical analog of electromagnetically induced transparency,” Phys. Rev. Lett. 93(23), 233903 (2004).
[CrossRef] [PubMed]

Xu, Q.

Q. Xu, P. Ding, and M. Lipson, “Breaking the delay-bandwidth limit in a photonic structure,” Nat. Phys. 3(6), 406–410 (2007).
[CrossRef]

Yang, S.

S. Mookherjea, J. S. Park, S. Yang, and P. R. Bandaru, “Localization in silicon nanophotonic slow-light waveguides,” Nat. Photonics 2(2), 90–93 (2008).
[CrossRef]

Yanik, M. F.

M. F. Yanik, W. Suh, Z. Wang, and S. Fan, “Stopping light in a waveguide with an all-optical analog of electromagnetically induced transparency,” Phys. Rev. Lett. 93(23), 233903 (2004).
[CrossRef] [PubMed]

J. Opt. Soc. Am. B

Nat. Photonics

Focus issue; “Slow light,” Nat. Photonics 2, 447–509 (2008).

M. Notomi, E. Kuramochi, and T. Tanabe, “Large-scale arrays of ultrahigh-Q coupled nanocavities,” Nat. Photonics 2(12), 741–747 (2008).
[CrossRef]

S. Mookherjea, J. S. Park, S. Yang, and P. R. Bandaru, “Localization in silicon nanophotonic slow-light waveguides,” Nat. Photonics 2(2), 90–93 (2008).
[CrossRef]

Nat. Phys.

Q. Xu, P. Ding, and M. Lipson, “Breaking the delay-bandwidth limit in a photonic structure,” Nat. Phys. 3(6), 406–410 (2007).
[CrossRef]

Nature

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, “Light speed reduction to 17 metres per second in an ultracold atomic gas,” Nature 397(6720), 594–598 (1999).
[CrossRef]

L. J. Wang, A. Kuzmich, and A. Dogariu, “Gain-assisted superluminal light propagation,” Nature 406(6793), 277–279 (2000).
[CrossRef] [PubMed]

M. D. Stenner, D. J. Gauthier, and M. A. Neifeld, “The speed of information in a ‘fast-light’ optical medium,” Nature 425(6959), 695–698 (2003).
[CrossRef] [PubMed]

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, “Observation of coherent optical information storage in an atomic medium using halted light pulses,” Nature 409(6819), 490–493 (2001).
[CrossRef] [PubMed]

Phys. Rev. Lett.

A. I. Talukder, T. Haruta, and M. Tomita, “Measurement of net group and reshaping delays for optical pulses in dispersive media,” Phys. Rev. Lett. 94(22), 223901 (2005).
[CrossRef] [PubMed]

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, “Storage of light in atomic vapor,” Phys. Rev. Lett. 86(5), 783–786 (2001).
[CrossRef] [PubMed]

K. Totsuka, N. Kobayashi, and M. Tomita, “Slow light in coupled-resonator-induced transparency,” Phys. Rev. Lett. 98(21), 213904 (2007).
[CrossRef] [PubMed]

M. F. Yanik, W. Suh, Z. Wang, and S. Fan, “Stopping light in a waveguide with an all-optical analog of electromagnetically induced transparency,” Phys. Rev. Lett. 93(23), 233903 (2004).
[CrossRef] [PubMed]

R. M. Camacho, C. J. Broadbent, I. Ali-Khan, and J. C. Howell, “All-optical delay of images using slow light,” Phys. Rev. Lett. 98(4), 043902 (2007).
[CrossRef] [PubMed]

P. K. Vudyasetu, R. M. Camacho, and J. C. Howell, “Storage and retrieval of multimode transverse images in hot atomic Rubidium vapor,” Phys. Rev. Lett. 100(12), 123903 (2008).
[CrossRef] [PubMed]

M. Shuker, O. Firstenberg, R. Pugatch, A. Ron, and N. Davidson, “Storing images in warm atomic vapor,” Phys. Rev. Lett. 100(22), 223601 (2008).
[CrossRef] [PubMed]

M. A. I. Talukder, Y. Amagishi, and M. Tomita, “Superluminal to subluminal transition in the pulse propagation in a resonantly absorbing medium,” Phys. Rev. Lett. 86(16), 3546–3549 (2001).
[CrossRef] [PubMed]

Other

J. W. Goodman, Introduction to Fourier Optics, Roberts & Co., (2004).

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Figures (5)

Fig. 1
Fig. 1

Schematic illustration of image propagation through an image resonator in reflection geometry. IR is the image resonator, EO is an electro-optic modulator, M is a mirror, HM is a half mirror, and IICCD is image-intensifier CCD-array camera

Fig. 2
Fig. 2

Calculated, (a) reflected and (c) transmitted intensities as a function of the detuning frequency. (b) The reflected and (d) transmitted phase-shift as a function of the detuning frequency. The parameters used in the calculations were R 1 = 0.8, L = 0.25m, and R 2 = 0.65, 0.79, and 0.90, for the solid (red), dashed (green), and dotted (blue) lines, respectively. The detuning frequency is normalized such that the free spectral range is equal to π.

Fig. 3
Fig. 3

Numerical simulations of images propagated through the image resonator. (a) Transmitted image under the on-resonance condition and (b) transmitted image under the off-resonance condition. (c) Reflected image under the on-resonance condition and (d) reflected image under the off-resonance condition. In (a)–(d), R 1 = 0.9, R 2 = 0.7, and L = 0.2m. (e) Reflected image under the critical-coupling (on-resonance) condition; R 1 = 0.7, R 2 = 0.7 and L = 0.2m. (f) The double rectangular slit pattern, with dimensions of 0.0275 × 0.04 m. The white lines in each figure show the horizontal cross-section.

Fig. 4
Fig. 4

Experimental observation of images propagated through the image resonator. (a), (b), (g), and (h) are the transmitted images, and (c), (d), (e), and (f) are reflected images. The top row and (h) are observed under the on-resonance condition;, the second row and (g) are under the off-resonance condition. In (a), (b), (c), and (d), R 1 =0.85, R 2 =0.95 (over coupling), L=0.3m. In (e) and (f) R 1 =0.7, R 2 =0.6 (under coupling), L=0.3m. In (g) and (h), the mask was replaced with a reduced sized mask. In (i), the image propagated through the image resonator was detected in photon-counting mode.

Fig. 5
Fig. 5

(a) Experimental observation of the temporal profiles of the reflected images. The solid black line is far from resonance, the dotted red and dashed blue lines are the under-coupling ( R 1 =0.85, R 2 =0.75, L =0.3m) and over-coupling ( R 1 =0.85, R 2 =0.95, L =0.3m) conditions, respectively. (b) Temporal profiles of the transmitted pulses. The solid line is the off-resonance condition (superluminal), and the dashed green line is the on-resonance condition. ( R 1 =0.85, R 2 =0.95, L=0.3m) The inset shows the position where the temporal profile was observed.

Equations (4)

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A ( x , y , ν ) = r 1 A 0 ( x , y , ν ) + m = 1 t 1 t 1 ' ( r 1 r 2 ) m D m ( x , y , ν ) ,
D m ( x , y , ν ) = 1 4 π i d x ' d y ' e i k ξ m ξ m A 0 ( x ' , y ' , ν ) ,
ξ m = [ ( x x ' ) 2 + ( y y ' ) 2 + ( m L ) 2 ] 1 / 2 ,
A ( ν ) = | A ( ν ) | e i θ ( ν ) = { r 1 + t 1 t 1 ' r 2 e i 2 ϕ ( ν ) 1 r 1 ' r e 2 i 2 ϕ ( ν ) } A 0 ,

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