Abstract

We rederive the Area Theorem for propagation of short optical pulses. We show how to take pulse chirping and homogeneous damping into account to obtain new results for pulse phase.

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References

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  1. S.L. McCall and E. L. Hahn, Phys. Rev. Lett. 18, 908 (1967).<br>
    [CrossRef]
  2. S.L. McCall and E.L. Hahn, Phys. Rev. 183, 457 (1969).<br>
    [CrossRef]
  3. R.E. Slusher and H.M. Gibbs, Phys. Rev. A 5, 1634 (1972), and Erratum 6, 1255 (1973).<br>
    [CrossRef]
  4. L. Allen and J.H. Eberly, Optical Resonance and Two-Level Atoms (Dover Pub., New York, 1987) Chap. 1.<br>
  5. G.L. Lamb, Jr., Elements of Soliton Theory (John Wiley and Sons, New York, 1980).<br>
  6. S.E. Harris, Physics Today 50, 36 (1997).<br>
    [CrossRef]
  7. J.H. Eberly, Quantum Semiclassic. Opt. 7, 373 (1995).<br>
    [CrossRef]
  8. J.H. Eberly, A. Rahman and R. Grobe, Phys. Rev. Lett. 76, 3687 (1996)<br>
    [CrossRef] [PubMed]
  9. Symposeum on Coherence in Loss free Pulse Propagation, Rainer Grobe, presider, OSA Annual Meeting, October 12 - 17, 1997 Supplement to Opt. Photonics News 8 No. 8 (Optical Society of America, Washington, D.C., 1997), Session ThKK.

Other (9)

S.L. McCall and E. L. Hahn, Phys. Rev. Lett. 18, 908 (1967).<br>
[CrossRef]

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

R.E. Slusher and H.M. Gibbs, Phys. Rev. A 5, 1634 (1972), and Erratum 6, 1255 (1973).<br>
[CrossRef]

L. Allen and J.H. Eberly, Optical Resonance and Two-Level Atoms (Dover Pub., New York, 1987) Chap. 1.<br>

G.L. Lamb, Jr., Elements of Soliton Theory (John Wiley and Sons, New York, 1980).<br>

S.E. Harris, Physics Today 50, 36 (1997).<br>
[CrossRef]

J.H. Eberly, Quantum Semiclassic. Opt. 7, 373 (1995).<br>
[CrossRef]

J.H. Eberly, A. Rahman and R. Grobe, Phys. Rev. Lett. 76, 3687 (1996)<br>
[CrossRef] [PubMed]

Symposeum on Coherence in Loss free Pulse Propagation, Rainer Grobe, presider, OSA Annual Meeting, October 12 - 17, 1997 Supplement to Opt. Photonics News 8 No. 8 (Optical Society of America, Washington, D.C., 1997), Session ThKK.

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Equations (8)

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d θ d z = α 2 sin θ ,
θ ( z , t ) t d t Ω ( z , t ' ) .
Ω ζ i Ω ϕ ζ = i μ 2 ( u i v ) .
i τ ( u i v ) = ( Δ ϕ τ i γ ) ( u i v ) + Ω ω Δ ,
u i v = i τ d τ ' e i a ( τ τ ' ) e i [ ϕ ( τ ) ϕ ( τ ' ) ] Ω ( τ ' ) ω Δ ( τ ' ) ,
1 γ + i Δ i 𝛲 Δ + π δ ( Δ ) .
+ Ω ζ d τ = θ ζ = μ 2 + ω Δ ( τ ) π δ ( Δ ) Ω ( τ ) d τ ,
Ω ϕ ζ = μ 2 Ω w Δ Δ Δ 2 + γ 2 ,

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