Abstract

A combination of a diffraction grating and a mirror integrates a hollow waveguide and a photonic-bandgap structure into a compact optical element, offering a simple new structure for various applications in nonlinear and ultrafast optics. The main features of transmission spectra observed in experiments performed with such waveguide structures are qualitatively interpreted in terms of the coupled-mode theory. Localization of light near the surface of a metal-coated grating in lowest-order TM modes in the created waveguide enhances effects related to the photonic-bandgap structure.

© 2002 Optical Society of America

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    [Crossref]
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    [Crossref]
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    [Crossref]

2002 (1)

S. O. Konorov, D. A. Akimov, A. N. Naumov, A. B. Fedotov, R. B. Miles, J. W. Haus, and A. M. Zheltikov, “Coherent anti-Stokes Raman scattering of slow light in a hollow planar periodically corrugated waveguide,” JETP Lett. 75, 66–70 (2002).
[Crossref]

2001 (1)

A. B. Fedotov, F. Giammanco, A. N. Naumov, P. Marsili, A. Ruffini, D. A. Sidorov-Biryukov, and A. M. Zheltikov, “Four-wave mixing of picosecond pulses in hollow fibers: expanding the possibilities of gas-phase analysis,” Appl. Phys. B 72, 575–582 (2001).
[Crossref]

2000 (2)

I. S. Nefedov, V. N. Gusyatnikov, P. K. Kashkarov, and A. M. Zheltikov, “Low-threshold photonic band-gap optical logic gates,” Laser Phys. 10, 640–644 (2000).

A. M. Zheltikov, A. V. Tarasishin, and S. A. Magnitskii, “Phase and group-velocity matching in ultrashort-pulse second-harmonic generation in one-dimensional photonic crystals,” J. Exp. Theor. Phys. 91, 298–306 (2000).
[Crossref]

1999 (6)

N. I. Koroteev, S. A. Magnitskii, A. V. Tarasishin, and A. M. Zheltikov, “Compression of ultrashort light pulses in photonic crystals: when envelopes cease to be slow,” Opt. Commun. 159, 191–202 (1999).
[Crossref]

C. G. Durfee, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high-order harmonics in hollow waveguides,” Phys. Rev. Lett. 83, 2187–2190 (1999).
[Crossref]

E. Constant, D. Garzella, P. Breger, E. Mevel, Ch. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett. 82, 1668–1671 (1999).
[Crossref]

P. Tran, “All-optical switching with a nonlinear chiral photonic bandgap structure,” J. Opt. Soc. Am. B 16, 70–73 (1999).
[Crossref]

O. Dühr, E. T. J. Nibbering, G. Korn, G. Tempea, and F. Krausz, “Generation of intense 8-fs pulses at 400 nm,” Opt. Lett. 24, 34–36 (1999).
[Crossref]

G. Cerullo, M. Nisoli, S. Stagira, S. De Silvestri, G. Tempea, F. Krausz, and K. Ferencz, “Mirror-dispersion-controlled sub-10-fs optical parametric amplifier in the visible,” Opt. Lett. 24, 1529–1531 (1999).
[Crossref]

1998 (2)

S. Scholz, O. Hess, and R. Ruhle, “Dynamic cross-waveguide optical switching with a nonlinear photonic band-gap structure,” Opt. Express 3, 28–34 (1998).
[Crossref] [PubMed]

A. Rundquist, C. G. Durfee, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, “Phase-matched generation of coherent soft x-rays,” Science 368, 1412–1415 (1998).
[Crossref]

1997 (7)

K. Todori and S. Hayase, “Formation of pseudo one-dimensional photonic band in visible region by grating pair method,” Appl. Phys. Lett. 70, 550–552 (1997).
[Crossref]

I. D. Jung, F. X. Kärtner, N. Matuschek, D. H. Sutter, F. Morie-Genoud, Z. Shi, V. Scheuer, M. Tilsch, T. Tschudi, and U. Keller, “Semiconductor saturable absorber mirrors supporting sub-10-fs pulses,” Appl. Phys. B 65, 137–150 (1997).
[Crossref]

M. Scalora, M. J. Bloemer, A. S. Manka, J. P. Dowling, C. M. Bowden, R. Viswanathan, and J. W. Haus, “Pulsed second-harmonic generation in nonlinear, one-dimensional, periodic structures,” Phys. Rev. A 56, 3166–3174 (1997).
[Crossref]

M. Nisoli, S. De Silvestri, O. Svelto, R. Szipöcs, K. Ferencz, Ch. Spielmann, S. Sartania, and F. Krausz, “Compression of high-energy laser pulses below 5 fs,” Opt. Lett. 22, 522–524 (1997).
[Crossref] [PubMed]

E. J. Mayer, J. Mobius, A. Euteneuer, W. W. Ruhle, and R. Szipöcs, “Ultrabroadband chirped mirrors for femtosecond lasers,” Opt. Lett. 22, 528–530 (1997).
[Crossref] [PubMed]

D. Kopf, A. Prasad, G. Zhang, M. Moser, and U. Keller, “Broadly tunable femtosecond Cr:LiSAF laser,” Opt. Lett. 22, 621–623 (1997).
[Crossref] [PubMed]

F. X. Kärtner, N. Matuschek, T. Schibli, U. Keller, H. A. Haus, C. Heine, R. Morf, V. Scheuer, M. Tilsch, and T. Tschudi, “Design and fabrication of double-chirped mirrors,” Opt. Lett. 22, 831–833 (1997).
[Crossref] [PubMed]

1996 (4)

P. Tran, “Optical switching with a nonlinear photonic crystal: a numerical study,” Opt. Lett. 21, 1138–1140 (1996).
[Crossref] [PubMed]

L. Xu, Ch. Spielmann, F. Krausz, and R. Szipöcs, “Ultrabroadband ring oscillator for sub-10-fs pulse generation,” Opt. Lett. 21, 1259–1261 (1996).
[Crossref] [PubMed]

M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. Ledbetter, J. Bendickson, J. P. Dowling, and R. P. Leavitt, “Ultrashort pulse propagation at the photonic band edge: Large tunable group delay with minimal distortion and loss,” Phys. Rev. E 54, R1078–R1081 (1996).
[Crossref]

M. Nisoli, S. De Silvestri, and O. Svelto, “Generation of high energy 10 fs pulses by a new pulse compression technique,” Appl. Phys. Lett. 68, 2793–2795 (1996).
[Crossref]

1995 (2)

1994 (2)

R. Szipöcs, K. Ferencz, Ch. Spielmann, and F. Krausz, “Chirped multilayer coatings for broadband dispersion control in femtosecond lasers,” Opt. Lett. 19, 201–203 (1994).
[Crossref] [PubMed]

M. Scalora, J. P. Dowling, C. M. Bowden, and M. J. Bloemer, “Optical limiting and switching of ultrashort pulses in nonlinear photonic band gap materials,” Phys. Rev. Lett. 73, 1368–1371 (1994).
[Crossref] [PubMed]

1993 (1)

1990 (1)

H. Yokoyama, K. Nishi, T. Anan, H. Yamada, S. D. Brorson, and E. P. Ippen, “Enhanced spontaneous emission from GaAs quantum wells in monolithic microcavities,” Appl. Phys. Lett. 57, 2814–2816 (1990).
[Crossref]

1977 (2)

A. Y. Cho, A. Yariv, and P. Yeh, “Observation of confined propagation in Bragg waveguides,” Appl. Phys. Lett. 30, 471–472 (1977).
[Crossref]

R. B. Miles, G. Laufer, and G. C. Bjorklund, “Coherent anti-Stokes Raman scattering in a hollow dielectric waveguide,” Appl. Phys. Lett. 30, 417–419 (1977).
[Crossref]

Adams, M. J.

M. J. Adams, An Introduction to Optical Waveguides (Wiley, New York, 1981).

Agostini, P.

E. Constant, D. Garzella, P. Breger, E. Mevel, Ch. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett. 82, 1668–1671 (1999).
[Crossref]

Akimov, D. A.

S. O. Konorov, D. A. Akimov, A. N. Naumov, A. B. Fedotov, R. B. Miles, J. W. Haus, and A. M. Zheltikov, “Coherent anti-Stokes Raman scattering of slow light in a hollow planar periodically corrugated waveguide,” JETP Lett. 75, 66–70 (2002).
[Crossref]

Anan, T.

H. Yokoyama, K. Nishi, T. Anan, H. Yamada, S. D. Brorson, and E. P. Ippen, “Enhanced spontaneous emission from GaAs quantum wells in monolithic microcavities,” Appl. Phys. Lett. 57, 2814–2816 (1990).
[Crossref]

Backus, S.

C. G. Durfee, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high-order harmonics in hollow waveguides,” Phys. Rev. Lett. 83, 2187–2190 (1999).
[Crossref]

A. Rundquist, C. G. Durfee, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, “Phase-matched generation of coherent soft x-rays,” Science 368, 1412–1415 (1998).
[Crossref]

Bendickson, J.

M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. Ledbetter, J. Bendickson, J. P. Dowling, and R. P. Leavitt, “Ultrashort pulse propagation at the photonic band edge: Large tunable group delay with minimal distortion and loss,” Phys. Rev. E 54, R1078–R1081 (1996).
[Crossref]

Bjorklund, G. C.

R. B. Miles, G. Laufer, and G. C. Bjorklund, “Coherent anti-Stokes Raman scattering in a hollow dielectric waveguide,” Appl. Phys. Lett. 30, 417–419 (1977).
[Crossref]

Bloemer, M. J.

M. Scalora, M. J. Bloemer, A. S. Manka, J. P. Dowling, C. M. Bowden, R. Viswanathan, and J. W. Haus, “Pulsed second-harmonic generation in nonlinear, one-dimensional, periodic structures,” Phys. Rev. A 56, 3166–3174 (1997).
[Crossref]

M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. Ledbetter, J. Bendickson, J. P. Dowling, and R. P. Leavitt, “Ultrashort pulse propagation at the photonic band edge: Large tunable group delay with minimal distortion and loss,” Phys. Rev. E 54, R1078–R1081 (1996).
[Crossref]

M. Scalora, J. P. Dowling, C. M. Bowden, and M. J. Bloemer, “Optical limiting and switching of ultrashort pulses in nonlinear photonic band gap materials,” Phys. Rev. Lett. 73, 1368–1371 (1994).
[Crossref] [PubMed]

Born, M.

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, 1980).

Bowden, C. M.

M. Scalora, M. J. Bloemer, A. S. Manka, J. P. Dowling, C. M. Bowden, R. Viswanathan, and J. W. Haus, “Pulsed second-harmonic generation in nonlinear, one-dimensional, periodic structures,” Phys. Rev. A 56, 3166–3174 (1997).
[Crossref]

M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. Ledbetter, J. Bendickson, J. P. Dowling, and R. P. Leavitt, “Ultrashort pulse propagation at the photonic band edge: Large tunable group delay with minimal distortion and loss,” Phys. Rev. E 54, R1078–R1081 (1996).
[Crossref]

M. Scalora, J. P. Dowling, C. M. Bowden, and M. J. Bloemer, “Optical limiting and switching of ultrashort pulses in nonlinear photonic band gap materials,” Phys. Rev. Lett. 73, 1368–1371 (1994).
[Crossref] [PubMed]

Breger, P.

E. Constant, D. Garzella, P. Breger, E. Mevel, Ch. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett. 82, 1668–1671 (1999).
[Crossref]

Brorson, S. D.

H. Yokoyama, K. Nishi, T. Anan, H. Yamada, S. D. Brorson, and E. P. Ippen, “Enhanced spontaneous emission from GaAs quantum wells in monolithic microcavities,” Appl. Phys. Lett. 57, 2814–2816 (1990).
[Crossref]

Cerullo, G.

Chang, Z.

A. Rundquist, C. G. Durfee, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, “Phase-matched generation of coherent soft x-rays,” Science 368, 1412–1415 (1998).
[Crossref]

Cho, A. Y.

A. Y. Cho, A. Yariv, and P. Yeh, “Observation of confined propagation in Bragg waveguides,” Appl. Phys. Lett. 30, 471–472 (1977).
[Crossref]

Constant, E.

E. Constant, D. Garzella, P. Breger, E. Mevel, Ch. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett. 82, 1668–1671 (1999).
[Crossref]

De Silvestri, S.

Dorrer, Ch.

E. Constant, D. Garzella, P. Breger, E. Mevel, Ch. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett. 82, 1668–1671 (1999).
[Crossref]

Dowling, J. P.

M. Scalora, M. J. Bloemer, A. S. Manka, J. P. Dowling, C. M. Bowden, R. Viswanathan, and J. W. Haus, “Pulsed second-harmonic generation in nonlinear, one-dimensional, periodic structures,” Phys. Rev. A 56, 3166–3174 (1997).
[Crossref]

M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. Ledbetter, J. Bendickson, J. P. Dowling, and R. P. Leavitt, “Ultrashort pulse propagation at the photonic band edge: Large tunable group delay with minimal distortion and loss,” Phys. Rev. E 54, R1078–R1081 (1996).
[Crossref]

M. Scalora, J. P. Dowling, C. M. Bowden, and M. J. Bloemer, “Optical limiting and switching of ultrashort pulses in nonlinear photonic band gap materials,” Phys. Rev. Lett. 73, 1368–1371 (1994).
[Crossref] [PubMed]

Dühr, O.

Durfee, C. G.

C. G. Durfee, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high-order harmonics in hollow waveguides,” Phys. Rev. Lett. 83, 2187–2190 (1999).
[Crossref]

A. Rundquist, C. G. Durfee, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, “Phase-matched generation of coherent soft x-rays,” Science 368, 1412–1415 (1998).
[Crossref]

Euteneuer, A.

Fedotov, A. B.

S. O. Konorov, D. A. Akimov, A. N. Naumov, A. B. Fedotov, R. B. Miles, J. W. Haus, and A. M. Zheltikov, “Coherent anti-Stokes Raman scattering of slow light in a hollow planar periodically corrugated waveguide,” JETP Lett. 75, 66–70 (2002).
[Crossref]

A. B. Fedotov, F. Giammanco, A. N. Naumov, P. Marsili, A. Ruffini, D. A. Sidorov-Biryukov, and A. M. Zheltikov, “Four-wave mixing of picosecond pulses in hollow fibers: expanding the possibilities of gas-phase analysis,” Appl. Phys. B 72, 575–582 (2001).
[Crossref]

Ferencz, K.

Flynn, R. J.

M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. Ledbetter, J. Bendickson, J. P. Dowling, and R. P. Leavitt, “Ultrashort pulse propagation at the photonic band edge: Large tunable group delay with minimal distortion and loss,” Phys. Rev. E 54, R1078–R1081 (1996).
[Crossref]

Fork, R. L.

M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. Ledbetter, J. Bendickson, J. P. Dowling, and R. P. Leavitt, “Ultrashort pulse propagation at the photonic band edge: Large tunable group delay with minimal distortion and loss,” Phys. Rev. E 54, R1078–R1081 (1996).
[Crossref]

Garzella, D.

E. Constant, D. Garzella, P. Breger, E. Mevel, Ch. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett. 82, 1668–1671 (1999).
[Crossref]

Giammanco, F.

A. B. Fedotov, F. Giammanco, A. N. Naumov, P. Marsili, A. Ruffini, D. A. Sidorov-Biryukov, and A. M. Zheltikov, “Four-wave mixing of picosecond pulses in hollow fibers: expanding the possibilities of gas-phase analysis,” Appl. Phys. B 72, 575–582 (2001).
[Crossref]

Gusyatnikov, V. N.

I. S. Nefedov, V. N. Gusyatnikov, P. K. Kashkarov, and A. M. Zheltikov, “Low-threshold photonic band-gap optical logic gates,” Laser Phys. 10, 640–644 (2000).

Haus, H. A.

Haus, J. W.

S. O. Konorov, D. A. Akimov, A. N. Naumov, A. B. Fedotov, R. B. Miles, J. W. Haus, and A. M. Zheltikov, “Coherent anti-Stokes Raman scattering of slow light in a hollow planar periodically corrugated waveguide,” JETP Lett. 75, 66–70 (2002).
[Crossref]

M. Scalora, M. J. Bloemer, A. S. Manka, J. P. Dowling, C. M. Bowden, R. Viswanathan, and J. W. Haus, “Pulsed second-harmonic generation in nonlinear, one-dimensional, periodic structures,” Phys. Rev. A 56, 3166–3174 (1997).
[Crossref]

Hayase, S.

K. Todori and S. Hayase, “Formation of pseudo one-dimensional photonic band in visible region by grating pair method,” Appl. Phys. Lett. 70, 550–552 (1997).
[Crossref]

Heine, C.

Herne, C.

C. G. Durfee, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high-order harmonics in hollow waveguides,” Phys. Rev. Lett. 83, 2187–2190 (1999).
[Crossref]

A. Rundquist, C. G. Durfee, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, “Phase-matched generation of coherent soft x-rays,” Science 368, 1412–1415 (1998).
[Crossref]

Hess, O.

Ippen, E. P.

H. Yokoyama, K. Nishi, T. Anan, H. Yamada, S. D. Brorson, and E. P. Ippen, “Enhanced spontaneous emission from GaAs quantum wells in monolithic microcavities,” Appl. Phys. Lett. 57, 2814–2816 (1990).
[Crossref]

Joannopoulos, J.

J. Joannopoulos, R. Meade, and J. Winn, Photonic Crystals (Princeton University, Princeton, N. J., 1995).

Jung, I. D.

I. D. Jung, F. X. Kärtner, N. Matuschek, D. H. Sutter, F. Morie-Genoud, Z. Shi, V. Scheuer, M. Tilsch, T. Tschudi, and U. Keller, “Semiconductor saturable absorber mirrors supporting sub-10-fs pulses,” Appl. Phys. B 65, 137–150 (1997).
[Crossref]

Kapteyn, H. C.

C. G. Durfee, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high-order harmonics in hollow waveguides,” Phys. Rev. Lett. 83, 2187–2190 (1999).
[Crossref]

A. Rundquist, C. G. Durfee, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, “Phase-matched generation of coherent soft x-rays,” Science 368, 1412–1415 (1998).
[Crossref]

Kärtner, F. X.

F. X. Kärtner, N. Matuschek, T. Schibli, U. Keller, H. A. Haus, C. Heine, R. Morf, V. Scheuer, M. Tilsch, and T. Tschudi, “Design and fabrication of double-chirped mirrors,” Opt. Lett. 22, 831–833 (1997).
[Crossref] [PubMed]

I. D. Jung, F. X. Kärtner, N. Matuschek, D. H. Sutter, F. Morie-Genoud, Z. Shi, V. Scheuer, M. Tilsch, T. Tschudi, and U. Keller, “Semiconductor saturable absorber mirrors supporting sub-10-fs pulses,” Appl. Phys. B 65, 137–150 (1997).
[Crossref]

Kashkarov, P. K.

I. S. Nefedov, V. N. Gusyatnikov, P. K. Kashkarov, and A. M. Zheltikov, “Low-threshold photonic band-gap optical logic gates,” Laser Phys. 10, 640–644 (2000).

Keller, U.

Konorov, S. O.

S. O. Konorov, D. A. Akimov, A. N. Naumov, A. B. Fedotov, R. B. Miles, J. W. Haus, and A. M. Zheltikov, “Coherent anti-Stokes Raman scattering of slow light in a hollow planar periodically corrugated waveguide,” JETP Lett. 75, 66–70 (2002).
[Crossref]

Kopf, D.

Korn, G.

Koroteev, N. I.

N. I. Koroteev, S. A. Magnitskii, A. V. Tarasishin, and A. M. Zheltikov, “Compression of ultrashort light pulses in photonic crystals: when envelopes cease to be slow,” Opt. Commun. 159, 191–202 (1999).
[Crossref]

Krausz, F.

Laufer, G.

R. B. Miles, G. Laufer, and G. C. Bjorklund, “Coherent anti-Stokes Raman scattering in a hollow dielectric waveguide,” Appl. Phys. Lett. 30, 417–419 (1977).
[Crossref]

Le Blanc, C.

E. Constant, D. Garzella, P. Breger, E. Mevel, Ch. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett. 82, 1668–1671 (1999).
[Crossref]

Leavitt, R. P.

M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. Ledbetter, J. Bendickson, J. P. Dowling, and R. P. Leavitt, “Ultrashort pulse propagation at the photonic band edge: Large tunable group delay with minimal distortion and loss,” Phys. Rev. E 54, R1078–R1081 (1996).
[Crossref]

Ledbetter, H.

M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. Ledbetter, J. Bendickson, J. P. Dowling, and R. P. Leavitt, “Ultrashort pulse propagation at the photonic band edge: Large tunable group delay with minimal distortion and loss,” Phys. Rev. E 54, R1078–R1081 (1996).
[Crossref]

Lenzner, M.

Love, J. D.

A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983).

Magnitskii, S. A.

A. M. Zheltikov, A. V. Tarasishin, and S. A. Magnitskii, “Phase and group-velocity matching in ultrashort-pulse second-harmonic generation in one-dimensional photonic crystals,” J. Exp. Theor. Phys. 91, 298–306 (2000).
[Crossref]

N. I. Koroteev, S. A. Magnitskii, A. V. Tarasishin, and A. M. Zheltikov, “Compression of ultrashort light pulses in photonic crystals: when envelopes cease to be slow,” Opt. Commun. 159, 191–202 (1999).
[Crossref]

Magnusson, R.

Manka, A. S.

M. Scalora, M. J. Bloemer, A. S. Manka, J. P. Dowling, C. M. Bowden, R. Viswanathan, and J. W. Haus, “Pulsed second-harmonic generation in nonlinear, one-dimensional, periodic structures,” Phys. Rev. A 56, 3166–3174 (1997).
[Crossref]

Marsili, P.

A. B. Fedotov, F. Giammanco, A. N. Naumov, P. Marsili, A. Ruffini, D. A. Sidorov-Biryukov, and A. M. Zheltikov, “Four-wave mixing of picosecond pulses in hollow fibers: expanding the possibilities of gas-phase analysis,” Appl. Phys. B 72, 575–582 (2001).
[Crossref]

Matuschek, N.

I. D. Jung, F. X. Kärtner, N. Matuschek, D. H. Sutter, F. Morie-Genoud, Z. Shi, V. Scheuer, M. Tilsch, T. Tschudi, and U. Keller, “Semiconductor saturable absorber mirrors supporting sub-10-fs pulses,” Appl. Phys. B 65, 137–150 (1997).
[Crossref]

F. X. Kärtner, N. Matuschek, T. Schibli, U. Keller, H. A. Haus, C. Heine, R. Morf, V. Scheuer, M. Tilsch, and T. Tschudi, “Design and fabrication of double-chirped mirrors,” Opt. Lett. 22, 831–833 (1997).
[Crossref] [PubMed]

Mayer, E. J.

Meade, R.

J. Joannopoulos, R. Meade, and J. Winn, Photonic Crystals (Princeton University, Princeton, N. J., 1995).

Mevel, E.

E. Constant, D. Garzella, P. Breger, E. Mevel, Ch. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett. 82, 1668–1671 (1999).
[Crossref]

Miles, R. B.

S. O. Konorov, D. A. Akimov, A. N. Naumov, A. B. Fedotov, R. B. Miles, J. W. Haus, and A. M. Zheltikov, “Coherent anti-Stokes Raman scattering of slow light in a hollow planar periodically corrugated waveguide,” JETP Lett. 75, 66–70 (2002).
[Crossref]

R. B. Miles, G. Laufer, and G. C. Bjorklund, “Coherent anti-Stokes Raman scattering in a hollow dielectric waveguide,” Appl. Phys. Lett. 30, 417–419 (1977).
[Crossref]

Mobius, J.

Morf, R.

Morie-Genoud, F.

I. D. Jung, F. X. Kärtner, N. Matuschek, D. H. Sutter, F. Morie-Genoud, Z. Shi, V. Scheuer, M. Tilsch, T. Tschudi, and U. Keller, “Semiconductor saturable absorber mirrors supporting sub-10-fs pulses,” Appl. Phys. B 65, 137–150 (1997).
[Crossref]

Moser, M.

Murnane, M. M.

C. G. Durfee, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high-order harmonics in hollow waveguides,” Phys. Rev. Lett. 83, 2187–2190 (1999).
[Crossref]

A. Rundquist, C. G. Durfee, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, “Phase-matched generation of coherent soft x-rays,” Science 368, 1412–1415 (1998).
[Crossref]

Naumov, A. N.

S. O. Konorov, D. A. Akimov, A. N. Naumov, A. B. Fedotov, R. B. Miles, J. W. Haus, and A. M. Zheltikov, “Coherent anti-Stokes Raman scattering of slow light in a hollow planar periodically corrugated waveguide,” JETP Lett. 75, 66–70 (2002).
[Crossref]

A. B. Fedotov, F. Giammanco, A. N. Naumov, P. Marsili, A. Ruffini, D. A. Sidorov-Biryukov, and A. M. Zheltikov, “Four-wave mixing of picosecond pulses in hollow fibers: expanding the possibilities of gas-phase analysis,” Appl. Phys. B 72, 575–582 (2001).
[Crossref]

Nefedov, I. S.

I. S. Nefedov, V. N. Gusyatnikov, P. K. Kashkarov, and A. M. Zheltikov, “Low-threshold photonic band-gap optical logic gates,” Laser Phys. 10, 640–644 (2000).

Nibbering, E. T. J.

Nishi, K.

H. Yokoyama, K. Nishi, T. Anan, H. Yamada, S. D. Brorson, and E. P. Ippen, “Enhanced spontaneous emission from GaAs quantum wells in monolithic microcavities,” Appl. Phys. Lett. 57, 2814–2816 (1990).
[Crossref]

Nisoli, M.

Prasad, A.

Reinhardt, S. B.

M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. Ledbetter, J. Bendickson, J. P. Dowling, and R. P. Leavitt, “Ultrashort pulse propagation at the photonic band edge: Large tunable group delay with minimal distortion and loss,” Phys. Rev. E 54, R1078–R1081 (1996).
[Crossref]

Ruffini, A.

A. B. Fedotov, F. Giammanco, A. N. Naumov, P. Marsili, A. Ruffini, D. A. Sidorov-Biryukov, and A. M. Zheltikov, “Four-wave mixing of picosecond pulses in hollow fibers: expanding the possibilities of gas-phase analysis,” Appl. Phys. B 72, 575–582 (2001).
[Crossref]

Ruhle, R.

Ruhle, W. W.

Rundquist, A.

A. Rundquist, C. G. Durfee, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, “Phase-matched generation of coherent soft x-rays,” Science 368, 1412–1415 (1998).
[Crossref]

Rundquist, A. R.

C. G. Durfee, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high-order harmonics in hollow waveguides,” Phys. Rev. Lett. 83, 2187–2190 (1999).
[Crossref]

Salin, F.

E. Constant, D. Garzella, P. Breger, E. Mevel, Ch. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett. 82, 1668–1671 (1999).
[Crossref]

Sartania, S.

Scalora, M.

M. Scalora, M. J. Bloemer, A. S. Manka, J. P. Dowling, C. M. Bowden, R. Viswanathan, and J. W. Haus, “Pulsed second-harmonic generation in nonlinear, one-dimensional, periodic structures,” Phys. Rev. A 56, 3166–3174 (1997).
[Crossref]

M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. Ledbetter, J. Bendickson, J. P. Dowling, and R. P. Leavitt, “Ultrashort pulse propagation at the photonic band edge: Large tunable group delay with minimal distortion and loss,” Phys. Rev. E 54, R1078–R1081 (1996).
[Crossref]

M. Scalora, J. P. Dowling, C. M. Bowden, and M. J. Bloemer, “Optical limiting and switching of ultrashort pulses in nonlinear photonic band gap materials,” Phys. Rev. Lett. 73, 1368–1371 (1994).
[Crossref] [PubMed]

Scheuer, V.

I. D. Jung, F. X. Kärtner, N. Matuschek, D. H. Sutter, F. Morie-Genoud, Z. Shi, V. Scheuer, M. Tilsch, T. Tschudi, and U. Keller, “Semiconductor saturable absorber mirrors supporting sub-10-fs pulses,” Appl. Phys. B 65, 137–150 (1997).
[Crossref]

F. X. Kärtner, N. Matuschek, T. Schibli, U. Keller, H. A. Haus, C. Heine, R. Morf, V. Scheuer, M. Tilsch, and T. Tschudi, “Design and fabrication of double-chirped mirrors,” Opt. Lett. 22, 831–833 (1997).
[Crossref] [PubMed]

Schibli, T.

Scholz, S.

Shi, Z.

I. D. Jung, F. X. Kärtner, N. Matuschek, D. H. Sutter, F. Morie-Genoud, Z. Shi, V. Scheuer, M. Tilsch, T. Tschudi, and U. Keller, “Semiconductor saturable absorber mirrors supporting sub-10-fs pulses,” Appl. Phys. B 65, 137–150 (1997).
[Crossref]

Sidorov-Biryukov, D. A.

A. B. Fedotov, F. Giammanco, A. N. Naumov, P. Marsili, A. Ruffini, D. A. Sidorov-Biryukov, and A. M. Zheltikov, “Four-wave mixing of picosecond pulses in hollow fibers: expanding the possibilities of gas-phase analysis,” Appl. Phys. B 72, 575–582 (2001).
[Crossref]

Snyder, A. W.

A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983).

Spielmann, Ch.

Stagira, S.

Stingl, A.

Sutter, D. H.

I. D. Jung, F. X. Kärtner, N. Matuschek, D. H. Sutter, F. Morie-Genoud, Z. Shi, V. Scheuer, M. Tilsch, T. Tschudi, and U. Keller, “Semiconductor saturable absorber mirrors supporting sub-10-fs pulses,” Appl. Phys. B 65, 137–150 (1997).
[Crossref]

Svelto, O.

M. Nisoli, S. De Silvestri, O. Svelto, R. Szipöcs, K. Ferencz, Ch. Spielmann, S. Sartania, and F. Krausz, “Compression of high-energy laser pulses below 5 fs,” Opt. Lett. 22, 522–524 (1997).
[Crossref] [PubMed]

M. Nisoli, S. De Silvestri, and O. Svelto, “Generation of high energy 10 fs pulses by a new pulse compression technique,” Appl. Phys. Lett. 68, 2793–2795 (1996).
[Crossref]

Szipöcs, R.

Tarasishin, A. V.

A. M. Zheltikov, A. V. Tarasishin, and S. A. Magnitskii, “Phase and group-velocity matching in ultrashort-pulse second-harmonic generation in one-dimensional photonic crystals,” J. Exp. Theor. Phys. 91, 298–306 (2000).
[Crossref]

N. I. Koroteev, S. A. Magnitskii, A. V. Tarasishin, and A. M. Zheltikov, “Compression of ultrashort light pulses in photonic crystals: when envelopes cease to be slow,” Opt. Commun. 159, 191–202 (1999).
[Crossref]

Tempea, G.

Tilsch, M.

I. D. Jung, F. X. Kärtner, N. Matuschek, D. H. Sutter, F. Morie-Genoud, Z. Shi, V. Scheuer, M. Tilsch, T. Tschudi, and U. Keller, “Semiconductor saturable absorber mirrors supporting sub-10-fs pulses,” Appl. Phys. B 65, 137–150 (1997).
[Crossref]

F. X. Kärtner, N. Matuschek, T. Schibli, U. Keller, H. A. Haus, C. Heine, R. Morf, V. Scheuer, M. Tilsch, and T. Tschudi, “Design and fabrication of double-chirped mirrors,” Opt. Lett. 22, 831–833 (1997).
[Crossref] [PubMed]

Tocci, M. D.

M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. Ledbetter, J. Bendickson, J. P. Dowling, and R. P. Leavitt, “Ultrashort pulse propagation at the photonic band edge: Large tunable group delay with minimal distortion and loss,” Phys. Rev. E 54, R1078–R1081 (1996).
[Crossref]

Todori, K.

K. Todori and S. Hayase, “Formation of pseudo one-dimensional photonic band in visible region by grating pair method,” Appl. Phys. Lett. 70, 550–552 (1997).
[Crossref]

Tran, P.

Tschudi, T.

I. D. Jung, F. X. Kärtner, N. Matuschek, D. H. Sutter, F. Morie-Genoud, Z. Shi, V. Scheuer, M. Tilsch, T. Tschudi, and U. Keller, “Semiconductor saturable absorber mirrors supporting sub-10-fs pulses,” Appl. Phys. B 65, 137–150 (1997).
[Crossref]

F. X. Kärtner, N. Matuschek, T. Schibli, U. Keller, H. A. Haus, C. Heine, R. Morf, V. Scheuer, M. Tilsch, and T. Tschudi, “Design and fabrication of double-chirped mirrors,” Opt. Lett. 22, 831–833 (1997).
[Crossref] [PubMed]

Viswanathan, R.

M. Scalora, M. J. Bloemer, A. S. Manka, J. P. Dowling, C. M. Bowden, R. Viswanathan, and J. W. Haus, “Pulsed second-harmonic generation in nonlinear, one-dimensional, periodic structures,” Phys. Rev. A 56, 3166–3174 (1997).
[Crossref]

Wang, S. S.

Winn, J.

J. Joannopoulos, R. Meade, and J. Winn, Photonic Crystals (Princeton University, Princeton, N. J., 1995).

Wolf, E.

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, 1980).

Xu, L.

Yablonovitch, E.

Yamada, H.

H. Yokoyama, K. Nishi, T. Anan, H. Yamada, S. D. Brorson, and E. P. Ippen, “Enhanced spontaneous emission from GaAs quantum wells in monolithic microcavities,” Appl. Phys. Lett. 57, 2814–2816 (1990).
[Crossref]

Yariv, A.

A. Y. Cho, A. Yariv, and P. Yeh, “Observation of confined propagation in Bragg waveguides,” Appl. Phys. Lett. 30, 471–472 (1977).
[Crossref]

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, New York, 1984).

Yeh, P.

A. Y. Cho, A. Yariv, and P. Yeh, “Observation of confined propagation in Bragg waveguides,” Appl. Phys. Lett. 30, 471–472 (1977).
[Crossref]

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, New York, 1984).

Yokoyama, H.

H. Yokoyama, K. Nishi, T. Anan, H. Yamada, S. D. Brorson, and E. P. Ippen, “Enhanced spontaneous emission from GaAs quantum wells in monolithic microcavities,” Appl. Phys. Lett. 57, 2814–2816 (1990).
[Crossref]

Zhang, G.

Zheltikov, A. M.

S. O. Konorov, D. A. Akimov, A. N. Naumov, A. B. Fedotov, R. B. Miles, J. W. Haus, and A. M. Zheltikov, “Coherent anti-Stokes Raman scattering of slow light in a hollow planar periodically corrugated waveguide,” JETP Lett. 75, 66–70 (2002).
[Crossref]

A. B. Fedotov, F. Giammanco, A. N. Naumov, P. Marsili, A. Ruffini, D. A. Sidorov-Biryukov, and A. M. Zheltikov, “Four-wave mixing of picosecond pulses in hollow fibers: expanding the possibilities of gas-phase analysis,” Appl. Phys. B 72, 575–582 (2001).
[Crossref]

I. S. Nefedov, V. N. Gusyatnikov, P. K. Kashkarov, and A. M. Zheltikov, “Low-threshold photonic band-gap optical logic gates,” Laser Phys. 10, 640–644 (2000).

A. M. Zheltikov, A. V. Tarasishin, and S. A. Magnitskii, “Phase and group-velocity matching in ultrashort-pulse second-harmonic generation in one-dimensional photonic crystals,” J. Exp. Theor. Phys. 91, 298–306 (2000).
[Crossref]

N. I. Koroteev, S. A. Magnitskii, A. V. Tarasishin, and A. M. Zheltikov, “Compression of ultrashort light pulses in photonic crystals: when envelopes cease to be slow,” Opt. Commun. 159, 191–202 (1999).
[Crossref]

Appl. Opt. (1)

Appl. Phys. B (2)

I. D. Jung, F. X. Kärtner, N. Matuschek, D. H. Sutter, F. Morie-Genoud, Z. Shi, V. Scheuer, M. Tilsch, T. Tschudi, and U. Keller, “Semiconductor saturable absorber mirrors supporting sub-10-fs pulses,” Appl. Phys. B 65, 137–150 (1997).
[Crossref]

A. B. Fedotov, F. Giammanco, A. N. Naumov, P. Marsili, A. Ruffini, D. A. Sidorov-Biryukov, and A. M. Zheltikov, “Four-wave mixing of picosecond pulses in hollow fibers: expanding the possibilities of gas-phase analysis,” Appl. Phys. B 72, 575–582 (2001).
[Crossref]

Appl. Phys. Lett. (5)

K. Todori and S. Hayase, “Formation of pseudo one-dimensional photonic band in visible region by grating pair method,” Appl. Phys. Lett. 70, 550–552 (1997).
[Crossref]

R. B. Miles, G. Laufer, and G. C. Bjorklund, “Coherent anti-Stokes Raman scattering in a hollow dielectric waveguide,” Appl. Phys. Lett. 30, 417–419 (1977).
[Crossref]

M. Nisoli, S. De Silvestri, and O. Svelto, “Generation of high energy 10 fs pulses by a new pulse compression technique,” Appl. Phys. Lett. 68, 2793–2795 (1996).
[Crossref]

A. Y. Cho, A. Yariv, and P. Yeh, “Observation of confined propagation in Bragg waveguides,” Appl. Phys. Lett. 30, 471–472 (1977).
[Crossref]

H. Yokoyama, K. Nishi, T. Anan, H. Yamada, S. D. Brorson, and E. P. Ippen, “Enhanced spontaneous emission from GaAs quantum wells in monolithic microcavities,” Appl. Phys. Lett. 57, 2814–2816 (1990).
[Crossref]

J. Exp. Theor. Phys. (1)

A. M. Zheltikov, A. V. Tarasishin, and S. A. Magnitskii, “Phase and group-velocity matching in ultrashort-pulse second-harmonic generation in one-dimensional photonic crystals,” J. Exp. Theor. Phys. 91, 298–306 (2000).
[Crossref]

J. Opt. Soc. Am. B (2)

JETP Lett. (1)

S. O. Konorov, D. A. Akimov, A. N. Naumov, A. B. Fedotov, R. B. Miles, J. W. Haus, and A. M. Zheltikov, “Coherent anti-Stokes Raman scattering of slow light in a hollow planar periodically corrugated waveguide,” JETP Lett. 75, 66–70 (2002).
[Crossref]

Laser Phys. (1)

I. S. Nefedov, V. N. Gusyatnikov, P. K. Kashkarov, and A. M. Zheltikov, “Low-threshold photonic band-gap optical logic gates,” Laser Phys. 10, 640–644 (2000).

Opt. Commun. (1)

N. I. Koroteev, S. A. Magnitskii, A. V. Tarasishin, and A. M. Zheltikov, “Compression of ultrashort light pulses in photonic crystals: when envelopes cease to be slow,” Opt. Commun. 159, 191–202 (1999).
[Crossref]

Opt. Express (1)

Opt. Lett. (10)

G. Cerullo, M. Nisoli, S. Stagira, S. De Silvestri, G. Tempea, F. Krausz, and K. Ferencz, “Mirror-dispersion-controlled sub-10-fs optical parametric amplifier in the visible,” Opt. Lett. 24, 1529–1531 (1999).
[Crossref]

O. Dühr, E. T. J. Nibbering, G. Korn, G. Tempea, and F. Krausz, “Generation of intense 8-fs pulses at 400 nm,” Opt. Lett. 24, 34–36 (1999).
[Crossref]

R. Szipöcs, K. Ferencz, Ch. Spielmann, and F. Krausz, “Chirped multilayer coatings for broadband dispersion control in femtosecond lasers,” Opt. Lett. 19, 201–203 (1994).
[Crossref] [PubMed]

A. Stingl, M. Lenzner, Ch. Spielmann, F. Krausz, and R. Szipöcs, “Sub-10-fs mirror-dispersion-controlled Ti:sapphire laser,” Opt. Lett. 20, 602–604 (1995).
[Crossref] [PubMed]

L. Xu, Ch. Spielmann, F. Krausz, and R. Szipöcs, “Ultrabroadband ring oscillator for sub-10-fs pulse generation,” Opt. Lett. 21, 1259–1261 (1996).
[Crossref] [PubMed]

D. Kopf, A. Prasad, G. Zhang, M. Moser, and U. Keller, “Broadly tunable femtosecond Cr:LiSAF laser,” Opt. Lett. 22, 621–623 (1997).
[Crossref] [PubMed]

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[Crossref]

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[Crossref]

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Figures (4)

Fig. 1
Fig. 1

Mirror and diffraction grating combined to form a planar hollow corrugated waveguide: Λ is the period of the grating, 2a is the separation between the grating and the mirror, nco is the refractive index of the waveguiding layer, and cl is the dielectric constant of the cladding. The photonic bandgap in the dispersion relation and transmission spectrum of such a structure arises due to a strong coupling of forward and backward waveguide modes with propagation constants βf and βb, with the reciprocal lattice constant G involved in momentum conservation, leading to a Bragg resonance of Eq. (7).

Fig. 2
Fig. 2

Dispersion relations, effective refractive index, and the photonic bandgap for a planar hollow PBG waveguide: photonic bandgaps corresponding to a family of strongly coupled modes meeting the Bragg-resonance condition of Eq. (7) overlap to form a broad photonic bandgap. The effective refractive index neff=β˜n/k, where β˜n is the propagation constant of the nth waveguide mode in the corrugated planar waveguide, provides an idea of the phase velocities of the coupled modes and allows phase-matching capabilities of the PBG waveguide to be analyzed.

Fig. 3
Fig. 3

Projections of the mode field amplitude (a) on the y axis, [fn(x)]y, for the TE0 and TE7 modes and (b) on the x axis, [fn(x)]x, for the TM0, TM1, TM2, and TM9 modes of a planar waveguide with aluminum-coated walls for a=11 µm, nco=1, λ=0.62 µm, Re(cl)=-54, and Im(cl)=20. The hatched area shows the region of nonzero perturbation of the dielectric function.

Fig. 4
Fig. 4

Transmission spectra of a planar corrugated hollow waveguide consisting of a 2400-grooves/mm aluminum-coated grating and an aluminum mirror (see Fig. 1) with a equal to (a) 44 µm, (b) 22 µm, and (c) 11 µm. The inset in Fig. 4(b) shows the results of calculations for the transmission spectrum and the spectral dependence of the effective refractive index for the TM2 mode coupled with the TM0 and TM1 modes.

Equations (19)

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E=1/2nfn(x)[An(z)exp(iβnz)+Bn(z)×exp(-iβnz)]exp(-iωt)+c.c.,
P˜=Δ(x, z)E.
Δ(x, z)=l˜l(x)exp(ilGz),
dAndz=m,lαnml{Am exp[i(βm-βn+lG)z]+Bm exp[-i(βm+βn-lG)z]},
dBndz=-m,lαnm-l{Am exp[i(βm+βn-lG)z]+Bm exp[-i(βm-βn+lG)z]},
αnml=i 2πω2βnc2 ˜l(x)fm(x)fn*(x)dx|fn(x)|2dx.
βf+βb=lG,
ka1,
βn=knco2clnco2+cl.
[f0(x)]xcosh[ux/a],
[f1(x)]xsinh[ux/a],
u=knco2clnco2+cl-1.
unak1
un(n+1) π2[1-(kaη1-clnco-2)-1].
βnk-[(n+1)π]28ka2
fn(x)cos[unx/a],
fn(x)sin[unx/a]
λ2πlG(n˜f+nco)
λ2πlGn˜f

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