Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Ultrabroadband parametric generation and wavelength conversion in silicon waveguides

Open Access Open Access

Abstract

We show that ultrabroadband parametric generation and wavelength conversion can be realized in silicon waveguides in the wavelength region near 1550 nm by tailoring their zero-dispersion wavelength and launching pump wave close to this wavelength. We quantify the impact of two-photon absorption, free-carrier generation, and linear losses on the process of parametric generation and show that it is difficult to realize a net signal gain and transparent wavelength conversion with a continuous-wave pump. By investigating the transient dynamics of the four-wave mixing process initiated with a pulsed pump, we show that the instantaneous nature of electronic response enables highly efficient parametric amplification and wavelength conversion for pump pulses as wide as 1 ns. We also discuss the dual-pump configuration and show that its use permits multiband operation with uniform efficiency over a broad spectral region extending over 300 nm.

©2006 Optical Society of America

Full Article  |  PDF Article
More Like This
Ultrabroadband flat dispersion tailoring of dual-slot silicon waveguides

Ming Zhu, Hongjun Liu, Xuefeng Li, Nan Huang, Qibing Sun, Jin Wen, and Zhaolu Wang
Opt. Express 20(14) 15899-15907 (2012)

Nonlinear optical phenomena in silicon waveguides: Modeling and applications

Q. Lin, Oskar J. Painter, and Govind P. Agrawal
Opt. Express 15(25) 16604-16644 (2007)

Efficient and broadband parametric wavelength conversion in a vertically etched silicon grating without dispersion engineering

Boyuan Jin, Jinhui Yuan, Chongxiu Yu, Xinzhu Sang, Shuai Wei, Xianting Zhang, Qiang Wu, and Gerald Farrell
Opt. Express 22(6) 6257-6268 (2014)

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 (9)

Fig. 1.
Fig. 1. (a) Structure of the SOI waveguide with a 50% etching depth; two insets show spatial profiles for the TE and TM modes. (b) Second- (blue) and third-order (red) dispersion parameters for the TE and TM modes.
Fig. 2.
Fig. 2. (a) Structure of the SOI waveguide with 100% etching depth; two insets show spatial profiles for the TE and TM modes. (b) Second- (blue) and third-order (red) dispersion parameters for the TE and TM modes.
Fig. 3.
Fig. 3. Signal gain (a) and conversion efficiency (b) as a function of signal wavelength at three pump wavelengths in the vicinity of the ZDWL of the TM mode. Input pump intensity is 0.2 GW/cm2 in all cases. The dashed vertical line shows the location of ZDWL.
Fig. 4.
Fig. 4. (a) Gs (dashed curves) and Gi (solid curves) as a function of input pump intensity for several values of carrier lifetime. (b) Upper limit of carrier lifetime τ0 and linear propagation loss αs for efficient FWM. In the TE case, pump-signal detuning is set to be 15.54 THz, where the contribution of Raman nonlinearity is maximum.
Fig. 5.
Fig. 5. (a) Signal gain (a) and conversion efficiency (b) for the TE mode under the same conditions as in Fig. 3.
Fig. 6.
Fig. 6. Signal gain (a) and conversion efficiency (b) for the TM mode at three pump wavelengths for pump pulses with a peak intensity of 0.6 GW=cm2 when FCA is neglected.
Fig. 7.
Fig. 7. Input and output temporal profiles of (a) pump and (b) signal for a carrier lifetime of τ0=1 ns; red curve shows the idler pulse. The 16.7-ps pump pulses at 1571.3 nm have a peak intensity of 0.6 GW/cm2. Both signal and idler profiles are normalized by the input signal intensity.
Fig. 8.
Fig. 8. Temporal profiles of (a) pump, (b) idler, and (c) signal pulses for three values of carrier lifetime. All Other parameters are the same as in Fig. 7. (d) Signal temporal profiles plotted on a log scale.
Fig. 9.
Fig. 9. Spectra of parametric gain (blue curve) and conversion efficiency (red curve) for the TM mode pumped with two waves of a same input intensity of 0.3 GW/cm2. The gain exceeds 10 dB over a 350-nm bandwsidth when two pump wavelengths are 255.3 nm apart.

Equations (23)

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

E ( z , t ) = Re [ A p ( z , t ) e i ω p t + A s ( z , t ) e i ω s t + A i ( z , t ) e i ω i t ] ,
A p z + β 1 p A p t + i β 2 p 2 2 A p t 2 = 1 2 [ α p + α fp ( z , t ) ] A p + i β 0 p A p + i ( γ e + γ R ) I p A p ,
A s z + β 1 s A s t + i β 2 s 2 2 A s t 2 = 1 2 [ α s + α fs ( z , t ) ] A s + i β 0 s A s + i ( 2 γ e + γ R ) I p A s + i γ e A p 2 A i *
+ i γ R A p t h R ( t τ ) e i Ω sp ( t τ ) [ A p * ( z , τ ) A s ( z , τ ) + A p ( z , τ ) A i * ( z , τ ) ] d τ ,
γ e = ξ e ( γ 0 + i β T 2 ) , γ R = ξ R g R Γ R Ω R , H ˜ R ( Ω ) = Ω R 2 Ω R 2 Ω 2 2 i Γ R Ω ,
N eh t = ξ e β T A p ( z , t ) 4 2 ω p N eh τ 0 ,
A s z + β 1 s A s t + i β 2 s 2 2 A s t 2 = 1 2 [ α s + α fs ( z , t ) ] A s + i β 0 s A s
+ i [ 2 γ e + γ R + γ R H ˜ R ( Ω sp ) ] A p 2 A s + i [ γ e + γ R H ˜ R ( Ω sp ) ] A p 2 A i * .
κ = Δ β 0 + 2 A p 2 Re [ γ e + γ R H ˜ R ( Ω sp ) ] ,
Δ β 0 = β 2 p Ω sp 2 + β 4 p 12 Ω sp 4 + ,
G j = 10 log 10 [ A j ( L ) 2 A s ( 0 ) 2 ] ( j = s , i ) ,
η f 2 I p Re [ γ e + γ R H ˜ R ( Ω sp ) ] 2 ξ e β T I p σ s I p 2 α s ,
A l z + β 1 l A l t + i β 2 l 2 2 A l t 2 = 1 2 [ α l + α f l ( z , l ) ] A l + i β 0 l A l + i ( γ e + γ R ) A l 2 A l
+ i ( 2 γ e + γ R ) A h 2 A l + i γ R A h t h R ( t τ ) e i Ω l h ( t τ ) A h * ( z , τ ) A l ( z , τ ) d τ ,
A s z + β 1 s A s t + i β 2 s 2 2 A s t 2 = 1 2 [ α s + α fs ( z , t ) ] A s + i β 0 s A s + i ( 2 γ e + γ R ) I p A s + 2 i γ e A l A h A i *
+ i γ R j , k = l , h A j t h R ( t τ ) e i Ω s j ( t τ ) [ A j * ( z , τ ) A s ( z , τ ) + A k ( z , τ ) A i * ( z , τ ) ] d τ ,
A l z + β 1 l A l t + i β 2 l 2 2 A l t 2 = 1 2 [ α l + α f l ( z , t ) A l + i β 0 l A l
+ i ( γ e + γ R ) A l 2 + A l + i [ 2 γ e + γ R + γ R H ˜ R ( Ω l h ) ] A h 2 A l ,
A s z + β 1 s A s t + i β 2 s 2 2 A s t 2 = 1 2 [ α s + α fs ( z , t ) ] A s + i β 0 s A s
+ i [ 2 γ e + γ R + γ R H ˜ R ( Ω sl ) ] A l 2 A s + i [ 2 γ e + γ R + γ R H ˜ R ( Ω sh ) ] A h 2 A s
+ i [ 2 γ e + γ R H ˜ R ( Ω sl ) + γ R H ˜ R ( Ω sh ) ] A l A h A i * .
κ = Δ β 0 + I p Re [ γ e + γ R H ˜ R ( Ω sl ) + γ R H ˜ R ( Ω sh ) γ R H ˜ R ( Ω hl ) ] ,
Δ β 0 = [ β 2 c Ω sc 2 + β 4 c 12 Ω sc 4 ] [ β 2 c Ω d 2 + β 4 c 12 Ω d 4 ] + .
Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved