Abstract

We propose and analyze a new photonic system to change the scale of the optical power spectrum of an ultrashort pulse. Our device corresponds to the dual (spectral domain) configuration of a temporal imaging system. It is configured with two time lenses separated by a linear first-order dispersive medium. The specific relation between the chirp rates and the first-order dispersion coefficient is obtained. The main practical constraints are discussed, and the system performance is tested by means of a numerical simulation.

© 2007 Optical Society of America

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References

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2007

2006

M. Tsang and D. Psaltis, Phys. Rev. A 73, 013822 (2006).
[CrossRef]

J. M. Dudley, G. Genty, and S. Coen, Rev. Mod. Phys. 78, 1135 (2006).
[CrossRef]

T. Hirooka and M. Nakazawa, J. Lightwave Technol. 24, 2530 (2006).
[CrossRef]

2005

J. Azaña, N. K. Berger, B. Levit, and B. Fischer, IEEE Photon. Technol. Lett. 17, 94 (2005).
[CrossRef]

2004

J. Azaña, N. K. Berger, B. Levit, and B. Fischer, IEEE Photon. Technol. Lett. 16, 882 (2004).
[CrossRef]

2001

C. V. Bennett and B. H. Kolner, IEEE J. Quantum Electron. 37, 20 (2001).
[CrossRef]

2000

C. V. Bennett and B. H. Kolner, IEEE J. Quantum Electron. 36, 430 (2000).
[CrossRef]

1999

1995

1992

1989

1968

Appl. Opt.

IEEE J. Quantum Electron.

C. V. Bennett and B. H. Kolner, IEEE J. Quantum Electron. 37, 20 (2001).
[CrossRef]

C. V. Bennett and B. H. Kolner, IEEE J. Quantum Electron. 36, 430 (2000).
[CrossRef]

IEEE Photon. Technol. Lett.

J. Azaña, N. K. Berger, B. Levit, and B. Fischer, IEEE Photon. Technol. Lett. 17, 94 (2005).
[CrossRef]

J. Azaña, N. K. Berger, B. Levit, and B. Fischer, IEEE Photon. Technol. Lett. 16, 882 (2004).
[CrossRef]

J. Lightwave Technol.

J. Opt. Soc. Am.

J. Opt. Soc. Am. B

Opt. Lett.

Phys. Rev. A

M. Tsang and D. Psaltis, Phys. Rev. A 73, 013822 (2006).
[CrossRef]

Rev. Mod. Phys.

J. M. Dudley, G. Genty, and S. Coen, Rev. Mod. Phys. 78, 1135 (2006).
[CrossRef]

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Figures (2)

Fig. 1
Fig. 1

(a) Spectral imaging system for magnifying or compressing optical power spectrum without altering the initial amplitude distribution and (b) dual equivalent temporal imaging system.

Fig. 2
Fig. 2

(a) Input power spectrum, (b) output power spectrum. A 4 × magnification is achieved.

Equations (8)

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E in ( ω ) = e in ( t ) e j ω t d t ,
E out ( ω ) = 2 π m e j 1 2 a ω 2 × e in ( t ) e j 1 2 t 2 ( K 1 1 Φ 2 1 Φ 2 2 ( K 2 1 Φ 2 ) ) e j ω m t d t ,
a = Φ 2 ( Φ 2 K 2 1 ) , m = 1 Φ 2 K 2 .
1 K 1 + 1 K 2 = Φ 2 ,
E out ( ω ) 2 = 1 m E in ( ω m ) 2 .
σ T 1 ,
1 σ 2 + K 1 2 3 β 2 β 3 .
σ ( 1 Φ 2 K 1 ) 2 + ( Φ 2 σ 2 ) 2 T 2 .

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