Abstract

This Letter reports theoretical and experimental studies of spectrum reversal with tunable wavelength offset in the optical-frequency regime—two widely separated spectral sidebands can always behave as mirror images of one another with respect to the center frequency of the controlling pump pulse. We call this interesting physical phenomenon “spectral mirror imaging.”

© 2013 Optical Society of America

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References

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2011 (1)

2010 (1)

2009 (1)

M. A. Foster, R. Salem, Y. Okawachi, A. C. Turner-Foster, M. Lipson, and A. L. Gaeta, Nat. Photonics 3, 581 (2009).
[CrossRef]

2008 (3)

1998 (2)

1997 (1)

1996 (1)

1993 (2)

S. Watanabe, T. Naito, and T. Chikama, IEEE Photon. Technol. Lett. 5, 92 (1993).
[CrossRef]

A. H. Gnauck, R. M. Jopson, and R. M. Derosier, IEEE Photon. Technol. Lett. 5, 663 (1993).
[CrossRef]

Chen, S.

Chikama, T.

S. Watanabe, T. Naito, and T. Chikama, IEEE Photon. Technol. Lett. 5, 92 (1993).
[CrossRef]

Derosier, R. M.

A. H. Gnauck, R. M. Jopson, and R. M. Derosier, IEEE Photon. Technol. Lett. 5, 663 (1993).
[CrossRef]

Foster, M. A.

M. A. Foster, R. Salem, Y. Okawachi, A. C. Turner-Foster, M. Lipson, and A. L. Gaeta, Nat. Photonics 3, 581 (2009).
[CrossRef]

M. A. Foster, R. Salem, D. F. Geraghty, A. C. Turner-Foster, M. Lipson, and A. L. Gaeta, Nature 456, 81 (2008).
[CrossRef]

R. Salem, M. A. Foster, A. C. Turner, D. F. Geraghty, M. Lipson, and A. L. Gaeta, Opt. Lett. 33, 1047 (2008).
[CrossRef]

Gaeta, A. L.

M. A. Foster, R. Salem, Y. Okawachi, A. C. Turner-Foster, M. Lipson, and A. L. Gaeta, Nat. Photonics 3, 581 (2009).
[CrossRef]

M. A. Foster, R. Salem, D. F. Geraghty, A. C. Turner-Foster, M. Lipson, and A. L. Gaeta, Nature 456, 81 (2008).
[CrossRef]

R. Salem, M. A. Foster, A. C. Turner, D. F. Geraghty, M. Lipson, and A. L. Gaeta, Opt. Lett. 33, 1047 (2008).
[CrossRef]

Geraghty, D. F.

R. Salem, M. A. Foster, A. C. Turner, D. F. Geraghty, M. Lipson, and A. L. Gaeta, Opt. Lett. 33, 1047 (2008).
[CrossRef]

M. A. Foster, R. Salem, D. F. Geraghty, A. C. Turner-Foster, M. Lipson, and A. L. Gaeta, Nature 456, 81 (2008).
[CrossRef]

Gnauck, A. H.

A. H. Gnauck, R. M. Jopson, and R. M. Derosier, IEEE Photon. Technol. Lett. 5, 663 (1993).
[CrossRef]

Goulart, C.

Gu, C.

Iaconis, C.

Inoue, K.

Jopson, R. M.

A. H. Gnauck, R. M. Jopson, and R. M. Derosier, IEEE Photon. Technol. Lett. 5, 663 (1993).
[CrossRef]

Lipson, M.

M. A. Foster, R. Salem, Y. Okawachi, A. C. Turner-Foster, M. Lipson, and A. L. Gaeta, Nat. Photonics 3, 581 (2009).
[CrossRef]

M. A. Foster, R. Salem, D. F. Geraghty, A. C. Turner-Foster, M. Lipson, and A. L. Gaeta, Nature 456, 81 (2008).
[CrossRef]

R. Salem, M. A. Foster, A. C. Turner, D. F. Geraghty, M. Lipson, and A. L. Gaeta, Opt. Lett. 33, 1047 (2008).
[CrossRef]

Mori, K.

Morioka, T.

Naito, T.

S. Watanabe, T. Naito, and T. Chikama, IEEE Photon. Technol. Lett. 5, 92 (1993).
[CrossRef]

Okawachi, Y.

M. A. Foster, R. Salem, Y. Okawachi, A. C. Turner-Foster, M. Lipson, and A. L. Gaeta, Nat. Photonics 3, 581 (2009).
[CrossRef]

Salem, R.

M. A. Foster, R. Salem, Y. Okawachi, A. C. Turner-Foster, M. Lipson, and A. L. Gaeta, Nat. Photonics 3, 581 (2009).
[CrossRef]

M. A. Foster, R. Salem, D. F. Geraghty, A. C. Turner-Foster, M. Lipson, and A. L. Gaeta, Nature 456, 81 (2008).
[CrossRef]

R. Salem, M. A. Foster, A. C. Turner, D. F. Geraghty, M. Lipson, and A. L. Gaeta, Opt. Lett. 33, 1047 (2008).
[CrossRef]

Saruwatari, M.

Sharping, J. E.

Soto-Crespo, J. M.

Tong, W.

Trebino, R.

R. Trebino, Frequency-Resolved Optical Gating: the Measurement of Ultrashort Laser Pulses (Kluwer, 2002).

Turner, A. C.

Turner-Foster, A. C.

M. A. Foster, R. Salem, Y. Okawachi, A. C. Turner-Foster, M. Lipson, and A. L. Gaeta, Nat. Photonics 3, 581 (2009).
[CrossRef]

M. A. Foster, R. Salem, D. F. Geraghty, A. C. Turner-Foster, M. Lipson, and A. L. Gaeta, Nature 456, 81 (2008).
[CrossRef]

Vizmuller, P.

P. Vizmuller, RF Design Guide Systems, Circuits and Equations (Artech House, 1995).

Wabnitz, S.

Walmsley, I. A.

Watanabe, S.

S. Watanabe, T. Naito, and T. Chikama, IEEE Photon. Technol. Lett. 5, 92 (1993).
[CrossRef]

Wei, H.

IEEE Photon. Technol. Lett. (2)

S. Watanabe, T. Naito, and T. Chikama, IEEE Photon. Technol. Lett. 5, 92 (1993).
[CrossRef]

A. H. Gnauck, R. M. Jopson, and R. M. Derosier, IEEE Photon. Technol. Lett. 5, 663 (1993).
[CrossRef]

J. Lightwave Technol. (1)

Nat. Photonics (1)

M. A. Foster, R. Salem, Y. Okawachi, A. C. Turner-Foster, M. Lipson, and A. L. Gaeta, Nat. Photonics 3, 581 (2009).
[CrossRef]

Nature (1)

M. A. Foster, R. Salem, D. F. Geraghty, A. C. Turner-Foster, M. Lipson, and A. L. Gaeta, Nature 456, 81 (2008).
[CrossRef]

Opt. Lett. (7)

Other (2)

P. Vizmuller, RF Design Guide Systems, Circuits and Equations (Artech House, 1995).

R. Trebino, Frequency-Resolved Optical Gating: the Measurement of Ultrashort Laser Pulses (Kluwer, 2002).

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Figures (3)

Fig. 1.
Fig. 1.

(a) Concept of SMI. Two pulses, signal and idler, are depicted at the top left and right, respectively, where the solid curves are the temporal amplitudes |A1,2(t)| and the dashed curves are the temporal phase profiles arg{A1,2(t)}. Their spectral amplitudes |A˜1,2(ω)| are depicted at the bottom left and right with different center frequencies ω1,2. (b) Schematic of an SMI system.

Fig. 2.
Fig. 2.

Demonstration of SMI in the femtosecond domain. (a) Measured output spectrum from the femtosecond FOPO. (b) Simulations of two spectral sidebands in the presence of a femtosecond pump pulse. The resulting spectra at τ=80fs resemble the experimental measurement in trace 1. (c) Simulations of two sideband spectrograms.

Fig. 3.
Fig. 3.

Demonstration of SMI in the picosecond domain. (a) Measured output spectrum from the picosecond FOPO. (b) Simulations of two spectral sidebands in the presence of a picosecond pump pulse. The resulting spectra at τ=3ps resemble the experimental measurement in trace 1. (c) Simulations of two sideband spectrograms.

Equations (5)

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A˜2(ω)=F[A2(t)]=F[A1*(t)·eiφ0]=A˜1*(ω)eiφ0.
A0ziγ[|A0|2+2|A1|2+2|A2|2]A0+2iγA1A2A0*eiΔβz=0,
A1z+Δβ11A1T+i2β212A1T2iγ[|A1|2+2|A2|2+2|A0|2]A1+iγA02A2*eiΔβz=0,
A2z+Δβ12A2T+i2β222A2T2iγ[|A2|2+2|A1|2+2|A0|2]A2+iγA02A1*eiΔβz=0.
A0(0,T)=P0e(T+τ)22T02,A1(0,T)=P1sech(TT1)eiCT2T12=A2*(0,T),

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