4. 09/24/1309/24/13 R. BouskilaR. Bouskila 44
WaveguideWaveguide
Amount of nonlinearity dependent onAmount of nonlinearity dependent on
intensity:intensity:
Fiber core diameter: ~8-10Fiber core diameter: ~8-10 μμmm
– Effective area: ~50-80Effective area: ~50-80 μμmm22
2
eff
2 n
A
π
γ
λ
=
5. 09/24/1309/24/13 R. BouskilaR. Bouskila 55
WaveguideWaveguide
Second problem: DispersionSecond problem: Dispersion
– N.B.N.B. DD == DDWGWG ++ DDmatmat
6. 09/24/1309/24/13 R. BouskilaR. Bouskila 66
WaveguideWaveguide
What to do?What to do?
Solution: Ridge (or rib) waveguideSolution: Ridge (or rib) waveguide
7. 09/24/1309/24/13 R. BouskilaR. Bouskila 77
WaveguideWaveguide
High nonlinearityHigh nonlinearity
achieved via extremelyachieved via extremely
high mode confinementhigh mode confinement
– AAeffeff: 2.61: 2.61 μμmm22
Low dispersionLow dispersion
achieved byachieved by
compensatingcompensating DDmatmat withwith
DDWGWG
8. 09/24/1309/24/13 R. BouskilaR. Bouskila 88
WaveguideWaveguide
When they say “wide bandwidth,” theyWhen they say “wide bandwidth,” they
aren’t kidding:aren’t kidding:
9. 09/24/1309/24/13 R. BouskilaR. Bouskila 99
RF spectrum analyzerRF spectrum analyzer
Regular PSD:Regular PSD:
RF spectrum:RF spectrum:
Used to characterize sources andUsed to characterize sources and
components; provides information aboutcomponents; provides information about
distortions and nonidealitiesdistortions and nonidealities
2
( ) ( ) i t
S E t e dtω
ω = ∫
22
( ) ( ) i t
RFS E t e dtω
ω = ∫
10. 09/24/1309/24/13 R. BouskilaR. Bouskila 1010
RF spectrum analyzerRF spectrum analyzer
Typically done using expensiveTypically done using expensive
electronicselectronics
All-optical method preferred!All-optical method preferred!
13. 09/24/1309/24/13 R. BouskilaR. Bouskila 1313
ConclusionConclusion
Advantages:Advantages:
– Ultrawide bandwidthUltrawide bandwidth
– Record-setting nonlinearityRecord-setting nonlinearity
– Low dispersionLow dispersion
Limitations:Limitations:
– Material and fabrication costsMaterial and fabrication costs
– Dispersion could be minimized furtherDispersion could be minimized further
14. 09/24/1309/24/13 R. BouskilaR. Bouskila 1414
ReferencesReferences
[1] M. Pelusi[1] M. Pelusi et al.et al. Photonic-chip-based radio-Photonic-chip-based radio-
frequency spectrum analyser with terahertzfrequency spectrum analyser with terahertz
bandwidth.bandwidth. Nature PhotonicsNature Photonics 33, 139-143 (March, 139-143 (March
2009).2009).
[2] B. E. A. Saleh & M. C. Teich. Fundamentals[2] B. E. A. Saleh & M. C. Teich. Fundamentals
of Photonics, 2nd ed. Wiley, 2007.of Photonics, 2nd ed. Wiley, 2007.
[3] G. P. Agrawal. Nonlinear Fibre Optics, 4th[3] G. P. Agrawal. Nonlinear Fibre Optics, 4th
ed. Academic Press, 2006.ed. Academic Press, 2006.
[4] M. R. E. Lamont[4] M. R. E. Lamont et al.et al. Dispersion engineeringDispersion engineering
of highly nonlinear As2S3 waveguides forof highly nonlinear As2S3 waveguides for
parametric gain and wavelength conversion.parametric gain and wavelength conversion.
Opt. ExpressOpt. Express 1515, 9458–9463 (2007)., 9458–9463 (2007).
Editor's Notes
Note Brit spelling of analyzer
4 um ridge Squares 1530 Circles 1569
time divisions of the multiplexer were deliberately misaligned, causing a time-dependent amplitude modulation
Next, the experimenters tried introducing a variable group velocity dispersion to the signal components by routing them through various lengths of silica fibre. They also (separately) induced a polarization-dependent group delay (differential group delay) by splitting the signal into a TM and a TE mode and applying a separate group delay to each.