Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group
Journal Home About Issues in Progress Current Issue All Issues Feature Issues

Tunable all optical delay via slow and fast light propagation in a Raman assisted fiber optical parametric amplifier: a route to all optical buffering

David Dahan and Gadi Eisenstein

Open Access Open Access

Abstract

We propose and demonstrate the use of narrow band optical parametric amplification for tunable slow and fast light propagation in optical fibers. The parametric gain is coupled to the Raman process which changes the gain value moderately but modifies the gain spectral shape. Consequently, the delay is enhanced at short wavelengths while it is moderated at long wavelengths. The maximum delay and tuning range can be optimized with respect to each other considering saturation effects in long fibers. The proposed scheme offers tunable delay in the presence of gain and with a bandwidth which is sufficiently wide to process digital data streams at tens of Gbit/s rates as well as picoseconds pulses.

©2005 Optical Society of America

Full Article  |  PDF Article
More Like This
Large tunable delay with low distortion of 10 Gbit/s data in a slow light system based on narrow band fiber parametric amplification

E. Shumakher, A. Willinger, R. Blit, D. Dahan, and G. Eisenstein
Opt. Express 14(19) 8540-8545 (2006)

Wide bandwidth slow light using a Raman fiber amplifier

Jay E. Sharping, Yoshitomo Okawachi, and Alexander L. Gaeta
Opt. Express 13(16) 6092-6098 (2005)

Numerical study of all-optical slow-light delays via stimulated Brillouin scattering in an optical fiber

Zhaoming Zhu, Daniel J. Gauthier, Yoshitomo Okawachi, Jay E. Sharping, Alexander L. Gaeta, Robert W. Boyd, and Alan E. Willner
J. Opt. Soc. Am. B 22(11) 2378-2384 (2005)

View More...

Cited By

Optica participates in Crossref's Cited-By Linking service. Citing articles from Optica Publishing Group journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (15)
Fig. 1.
Fig. 1. system set up : MZ (Mach Zendher), IM (Intensity modulation), EDFAs (Erbium Doped Fiber Amplifiers), OBPF (Optical Band Pass Filter), OSA (Optical Spectrum Analyzer)

Download Full Size | PDF

Fig. 2.
Fig. 2. Phase mismatching as a function of detuning for β 2=8.73 10-28 s2/m and β 4=-5.6 10-55 s4/m at λp =1530 nm

Download Full Size | PDF

Fig. 3.
Fig. 3. Calculated OPA gain and induced time delay spectra at (a) the short and (b) long wavelength region using a 200 m long DSF for β 2=8.73 10-28 s2/m and β 4=-5.6 10-55 s4/m at λp =1530 nm

Download Full Size | PDF

Fig. 4.
Fig. 4. Calculated Raman assisted OPA gain and induced time delay spectra at the (a) short and (b) long wavelength region using a 200 m long DSF for β 2=3.95 10-28 s2/m and β 4=-5.7 10-55 s4/m at λp =1535 nm

Download Full Size | PDF

Fig. 5.
Fig. 5. Calculated OPA gain and induced time delay spectra with the Raman effect omitted artificially. (a) short and (b) long wavelength region using a 200 m long DSF with for β 2=3.95 10-28 s2/m and β 4=-5.7 10-55 s4/m at λp =1535 nm

Download Full Size | PDF

Fig. 6.
Fig. 6. (a) Experimental ASE power spectra and (b) Theoretical gain spectra for 200 m DSF using different pump wavelengths.

Download Full Size | PDF

Fig 7.
Fig 7. (a) Experimental ASE power spectra and (b) theoretical gain spectra for 200 m DSF using different pump power levels with λp =1535nm. The gain is evaluated at λs =1428.6 nm

Download Full Size | PDF

Fig 8.
Fig 8. Pulse position for different gain values at λs =1448.8 nm using a 200 m long DSF (a) Experimental results (b) Simulated results

Download Full Size | PDF

Fig 9.
Fig 9. Experimental traces for different gain values at λs =1428.6 nm using different DSF lengths :(a) 200 m , (b) 500 m, (c) 1000m, (d) 2000 m The curves indexes represent different gain values which are summarized in Fig. 10

Download Full Size | PDF

Fig. 10.
Fig. 10. Measured delay as a function of gain for different fiber lengths at λs =1428.6 nm

Download Full Size | PDF

Fig. 11.
Fig. 11. Calculated delay as a function of gain for different fiber lengths. (a) λs =1428.6 nm, (b) λs =1377.1 nm

Download Full Size | PDF

Fig. 12.
Fig. 12. (a) Theoretical gain spectra using 200 m and 2000 m long DSF, (b) Group index variations along the fiber at λs and λ peak

Download Full Size | PDF

Fig. 13:
Fig. 13: (a) ASE power spectra for different pump wavelengths (b) The corresponding signals at λs =1428.6 nm

Download Full Size | PDF

Fig. 14.
Fig. 14. Fast light observation at λs =1600 nm using (a) 2000 m long DSF (b) 3000 m long DSF

Download Full Size | PDF

Fig. 15.
Fig. 15. Calculated negative delay as a function of gain for different fiber lengths. (a) λs =1658.3 nm, (b) λs =1721.1 nm

Download Full Size | PDF

Tables (1)

Tables Icon

Table 1. Gain and delay values achieved at λs =1428.6 nm using different lengths of DSF

View Table

Equations (17)

Equations on this page are rendered with MathJax. Learn more.

{ ∂ A p ∂ z = j γ ( ∣ A p ∣ 2 + 2 ∣ A s ∣ 2 + 2 ∣ A i ∣ 2 ) A p + j 2 γ A p * A s A i exp ( j Δ kz ) ∂ A s ∂ z = j γ ( 2 ∣ A p ∣ 2 + 2 ∣ A s ∣ 2 + 2 ∣ A i ∣ 2 ) A s + j γ A p 2 A p * exp ( − j Δ kz ) − g R 2 ∣ A p ∣ 2 ∂ A i ∂ z = j γ ( 2 ∣ A p ∣ 2 + 2 ∣ A s ∣ 2 + 2 ∣ A i ∣ 2 ) A i + j γ A p 2 A p * exp ( − j Δ kz ) g R 2 + ∣ A p ∣ 2 A i A s
A p ( z ) = P 0 exp ⁡ ( j γ P 0 z )
{ ∂ A s ∂ z = j 2 γ P 0 A s + j γ P 0 A i * exp ( j ( 2 γ P 0 − Δ k ) z ) − g R 2 P 0 A s ∂ A i ∂ z = j 2 γ P 0 A i + j γ P 0 A s * exp ( j ( 2 γ P 0 − Δ k ) z ) − g R 2 P 0 A i
{ g s = j γ P 0 A i * A s exp ( j ( 2 γ P 0 − Δ k ) z ) − g R 2 P 0 g i = j γ P 0 A s * A i exp ( j ( 2 γ P 0 − Δ k ) z ) − g R 2 P 0
Δ n g = c ( d Im ( g s , i ) d ω )
Δ T = ∫ 0 L Δ n g ( z ) c dz
{ A s ( z ) = A s ( 0 ) ( cosh ( gz ) + ( − g R 2 P 0 + j ( γ P 0 + Δ k 2 ) ) sinh ( gz ) g ) exp ( − j ( Δ k − 2 γ P 0 2 ) z ) A i ( z ) = j γ P 0 g A s * ( 0 ) sinh ( gz ) exp ( − j ( Δ k − 2 γ P 0 2 ) z )
g 2 = { ( γ P 0 ) 2 − ( γ P 0 + Δ k 2 ) 2 + g R P 0 ( g R P 0 4 − j ( γ P 0 + Δ k 2 ) ) }
g s ( z ) = ( γ P 0 ) 2 g sinh ( gz ) ( cosh ( gz ) + ( − g R 2 P 0 + j ( γ P 0 + Δ k 2 ) ) − sinh ( gz ) g ) − g R 2 P 0
g i ( z ) = g cosh ( gz ) sinh ( gz ) + j ( γ P 0 + Δ k 2 )
g 2 = { ( γ P 0 ) 2 − ( γ P 0 + Δ k 2 ) 2 }
g s ( z ) = g s r ( z ) + j g s i ( z )
g s r = ( γ P 0 ) 2 g sinh ( gz ) cosh ( gz ) 1 + ( γ P 0 g sinh ( gz ) ) 2
g s i = − ( γ P 0 + Δ k 2 ) ( γ P 0 g sinh ( gz ) ) 2 1 + ( γ P 0 g sinh ( gz ) ) 2
Δ k = β 2 ( ω − ω p ) 2 + β 4 ( ω − ω p ) 4 / 12
g s i ≈ − ( γ P 0 + Δ k 2 )
Δ n g ≈ − c 2 d Δ k dω = − C ( β 2 ( ω − ω p ) + β 4 ( ω − ω p ) 3 / 6 )
Select as filters
Select Topics Cancel
Top
       
© Copyright 2024 | Optica Publishing Group. All rights reserved, including rights for text and data mining and training of artificial technologies or similar technologies.
Privacy | Terms of Use