## Abstract

We present the results of a series of numerical experiments on the propagation of pairs of coupled short optical pulses in media with in-homogeneous broadening. The main results apply to propagation in three-level media in the V configuration.

© 1999 Optical Society of America

Full Article | PDF Article**OSA Recommended Articles**

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### References

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- Article Order
- |
- Year
- |
- Author
- |
- Publication

- A. Rahman and J. H. Eberly, “Theory of shape-preserving short pulses in inhomogeneously broadened three-level media,” Phys. Rev. A 58, R805 (1998).

[Crossref] - A. Rahman, “Optical pulse propagation in V-type media,” submitted for publication.

- L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover Publications, Inc., New York,1987).

- S. L. McCall and E. L. Hahn, “Self-induced transparency,” Phys. Rev. 183, 457 (1969).

[Crossref] -
For a recent new derivation of the Area Theorem in two-level media, see J. H. Eberly, “Area Theorem rederived,” Opt. Express 2, 173 (1998);http://epubs.osa.org/oearchive/source/4295.htm

[Crossref] [PubMed] - G. L. Lamb, “Analytical descriptions of ultrashort optical pulse propagation in a resonant medium,” Rev. Mod. Phys. 43, 99 (1971).

[Crossref] - G. L. Lamb, “Coherent-optical-pulse propagation as an inverse problem,” Phys. Rev. A 9, 422 (1974).

[Crossref] - R. J. Cook and B. W. Shore, “Coherent dynamics of N-level atoms and molecules. III. An analytically soluble periodic case,” Phys. Rev. A 20, 539 (1979).

[Crossref] - C. E. Carroll and F. T. Hioe, “Analytic solutions for three-state systems with overlapping pulses,” Phys. Rev. A 42, 1522 (1990).

[Crossref] [PubMed] - M. J. Konopnicki and J. H. Eberly, “Simultaneous propagation of short different-wavelength optical pulses,” Phys. Rev. A 24, 2567 (1981).

[Crossref]

#### 1998 (2)

A. Rahman and J. H. Eberly, “Theory of shape-preserving short pulses in inhomogeneously broadened three-level media,” Phys. Rev. A 58, R805 (1998).

[Crossref]

For a recent new derivation of the Area Theorem in two-level media, see J. H. Eberly, “Area Theorem rederived,” Opt. Express 2, 173 (1998);http://epubs.osa.org/oearchive/source/4295.htm

[Crossref]
[PubMed]

#### 1990 (1)

C. E. Carroll and F. T. Hioe, “Analytic solutions for three-state systems with overlapping pulses,” Phys. Rev. A 42, 1522 (1990).

[Crossref]
[PubMed]

#### 1981 (1)

M. J. Konopnicki and J. H. Eberly, “Simultaneous propagation of short different-wavelength optical pulses,” Phys. Rev. A 24, 2567 (1981).

[Crossref]

#### 1979 (1)

R. J. Cook and B. W. Shore, “Coherent dynamics of N-level atoms and molecules. III. An analytically soluble periodic case,” Phys. Rev. A 20, 539 (1979).

[Crossref]

#### 1974 (1)

G. L. Lamb, “Coherent-optical-pulse propagation as an inverse problem,” Phys. Rev. A 9, 422 (1974).

[Crossref]

#### 1971 (1)

G. L. Lamb, “Analytical descriptions of ultrashort optical pulse propagation in a resonant medium,” Rev. Mod. Phys. 43, 99 (1971).

[Crossref]

#### 1969 (1)

S. L. McCall and E. L. Hahn, “Self-induced transparency,” Phys. Rev. 183, 457 (1969).

[Crossref]

#### Allen, L.

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover Publications, Inc., New York,1987).

#### Carroll, C. E.

C. E. Carroll and F. T. Hioe, “Analytic solutions for three-state systems with overlapping pulses,” Phys. Rev. A 42, 1522 (1990).

[Crossref]
[PubMed]

#### Cook, R. J.

R. J. Cook and B. W. Shore, “Coherent dynamics of N-level atoms and molecules. III. An analytically soluble periodic case,” Phys. Rev. A 20, 539 (1979).

[Crossref]

#### Eberly, J. H.

For a recent new derivation of the Area Theorem in two-level media, see J. H. Eberly, “Area Theorem rederived,” Opt. Express 2, 173 (1998);http://epubs.osa.org/oearchive/source/4295.htm

[Crossref]
[PubMed]

A. Rahman and J. H. Eberly, “Theory of shape-preserving short pulses in inhomogeneously broadened three-level media,” Phys. Rev. A 58, R805 (1998).

[Crossref]

M. J. Konopnicki and J. H. Eberly, “Simultaneous propagation of short different-wavelength optical pulses,” Phys. Rev. A 24, 2567 (1981).

[Crossref]

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover Publications, Inc., New York,1987).

#### Hahn, E. L.

S. L. McCall and E. L. Hahn, “Self-induced transparency,” Phys. Rev. 183, 457 (1969).

[Crossref]

#### Hioe, F. T.

C. E. Carroll and F. T. Hioe, “Analytic solutions for three-state systems with overlapping pulses,” Phys. Rev. A 42, 1522 (1990).

[Crossref]
[PubMed]

#### Konopnicki, M. J.

M. J. Konopnicki and J. H. Eberly, “Simultaneous propagation of short different-wavelength optical pulses,” Phys. Rev. A 24, 2567 (1981).

[Crossref]

#### Lamb, G. L.

G. L. Lamb, “Coherent-optical-pulse propagation as an inverse problem,” Phys. Rev. A 9, 422 (1974).

[Crossref]

G. L. Lamb, “Analytical descriptions of ultrashort optical pulse propagation in a resonant medium,” Rev. Mod. Phys. 43, 99 (1971).

[Crossref]

#### McCall, S. L.

S. L. McCall and E. L. Hahn, “Self-induced transparency,” Phys. Rev. 183, 457 (1969).

[Crossref]

#### Rahman, A.

A. Rahman and J. H. Eberly, “Theory of shape-preserving short pulses in inhomogeneously broadened three-level media,” Phys. Rev. A 58, R805 (1998).

[Crossref]

A. Rahman, “Optical pulse propagation in V-type media,” submitted for publication.

#### Shore, B. W.

R. J. Cook and B. W. Shore, “Coherent dynamics of N-level atoms and molecules. III. An analytically soluble periodic case,” Phys. Rev. A 20, 539 (1979).

[Crossref]

#### Opt. Express (1)

For a recent new derivation of the Area Theorem in two-level media, see J. H. Eberly, “Area Theorem rederived,” Opt. Express 2, 173 (1998);http://epubs.osa.org/oearchive/source/4295.htm

[Crossref]
[PubMed]

#### Phys. Rev. (1)

S. L. McCall and E. L. Hahn, “Self-induced transparency,” Phys. Rev. 183, 457 (1969).

[Crossref]

#### Phys. Rev. A (5)

[Crossref]

G. L. Lamb, “Coherent-optical-pulse propagation as an inverse problem,” Phys. Rev. A 9, 422 (1974).

[Crossref]

[Crossref]

[Crossref]
[PubMed]

[Crossref]

#### Rev. Mod. Phys. (1)

G. L. Lamb, “Analytical descriptions of ultrashort optical pulse propagation in a resonant medium,” Rev. Mod. Phys. 43, 99 (1971).

[Crossref]

#### Other (2)

A. Rahman, “Optical pulse propagation in V-type media,” submitted for publication.

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover Publications, Inc., New York,1987).

### Supplementary Material (5)

» Media 1: MOV (312 KB) |

» Media 2: MOV (398 KB) |

» Media 3: MOV (400 KB) |

» Media 4: MOV (522 KB) |

» Media 5: MOV (461 KB) |

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### Figures (6)

**Figure 1.**

Schematic diagram of a V-type three-level atom and a two-level atom. The pulses Ω_{
a
} and Ω_{
b
} (driving transitions 1–2 and 2–3 respectively) are in two-photon resonance with intermediate detuning Δ in the V-type medium. The pulse Ω drives the 1–2 transition in the two-level medium.

**Figure 2.**

(

**Figure 3.**

(_{
a
}
_{
b
}

**Figure 4.**

(_{
a
}
_{
b
}

**Figure 5.**

(_{
a
}
_{
b
}

**Figure 6.**

(_{
a
}
_{
b
}

### Equations (17)

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