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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 11 — Jun. 3, 2013
  • pp: 13075–13083
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Nonlinear transmission properties of hydrogenated amorphous silicon core fibers towards the mid-infrared regime

L. Shen, N. Healy, P. Mehta, T. D. Day, J. R. Sparks, J. V. Badding, and A. C. Peacock  »View Author Affiliations


Optics Express, Vol. 21, Issue 11, pp. 13075-13083 (2013)
http://dx.doi.org/10.1364/OE.21.013075


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Abstract

The nonlinear transmission properties of hydrogenated amorphous silicon (a-Si:H) core fibers are characterized from the near-infrared up to the edge of the mid-infrared regime. The results show that this material exhibits linear losses on the order of a few dB/cm, or less, over the entire wavelength range, decreasing down to a value of 0.29 dB/cm at 2.7μm, and negligible nonlinear losses beyond the two-photon absorption (TPA) edge ∼ 1.7μm. By measuring the dispersion of the nonlinear Kerr and TPA parameters we have found that the nonlinear figure of merit (FOMNL) increases dramatically over this region, with FOMNL > 20 around 2μm and above. This characterization demonstrates the potential for a-Si:H fibers and waveguides to find use in nonlinear applications extending beyond telecoms and into the mid-infrared regime.

© 2013 OSA

1. Introduction

In complement to the research that is currently being undertaken on-chip, we have been investigating a new class of a-Si:H core optical fiber that is fabricated using a high pressure chemical vapour deposition (HPCVD) method [12

12. N. F. Baril, R. He, Rongrui, T. D. Day, J. R. Sparks, B. Keshavarzi, M. Krishnamurthi, A. Borhan, V. Gopalan, A. C. Peacock, N. Healy, P. J. A. Sazio, and J. V. Badding, “Confined high-pressure chemical deposition of hydrogenated amorphous silicon,” J. Am. Chem. Soc. 134, 19–22 (2011) [CrossRef] [PubMed] .

]. This method differs from the plasma enhanced CVD technique used for the fabrication of the on-chip waveguides, particularly in terms of the way that the hydrogen is incorporated, yet the resulting materials have similar nonlinear parameters [2

2. C. Grillet, L. Carletti, C. Monat, P. Grosse, B. Ben Bakir, S. Menezo, J. M. Fedeli, and D. J. Moss, “Amorphous silicon nanowires combining high nonlinearity, FOM and optical stability,” Opt. Express 20, 22609–22615 (2012) [CrossRef] [PubMed] .

, 4

4. P. Mehta, N. Healy, N. F. Baril, P. J. A. Sazio, J. V. Badding, and A. C. Peacock, “Nonlinear transmission properties of hydrogenated amorphous silicon core optical fibers,” Opt. Express 18, 16826–16831 (2010) [CrossRef] [PubMed] .

]. In addition, unlike some reports on-chip [3

3. B. Kuyken, H. Ji, S. Clemmen, S. K. Selvaraja, H. Hu, M. Pu, M. Galili, P. Jeppesen, G. Morthier, S. Massar, L. K. Oxenløwe, G. Roelkens, and R. Baets, “Nonlinear properties of and nonlinear processing in hydrogenated amorphous silicon waveguides,” Opt. Express 19, B146–B153 (2011) [CrossRef] .

], these a-Si:H fibers have exhibited excellent stability over several months of use, for input peak powers of hundreds of watts. Briefly, the deposition process is conducted by forcing a mixture of precursor gas (silane SiH4 and hydrogen H2) to flow through a silica capillary under high pressures (2 – 100MPa), at temperatures between 360 – 440°C. The high pressures increase the deposition rate at the low temperatures, which leads to incorporation of hydrogen via the incomplete decomposition of silane to silicon. The ability to incorporate amorphous semiconductor materials into the fiber geometry is a direct consequence of this low temperature deposition, and alternative high temperature fiber drawing methods have so far only been used to produce crystalline semiconductor core fibers [13

13. J. Ballato, T. Hawkins, P. Foy, B. Yazgan-Kokuoz, C. McMillen, L. Burka, S. Morris, R. Stolen, and R. Rice, “Advancements in semiconductor core optical fiber,” Opt. Fiber Technol. 16, 399–408 (2010) [CrossRef] .

]. We have previously reported on the nonlinear optical properties and the associated FOMNL of these a-Si:H fibers at the telecoms wavelength of 1.54μm, and by exploiting the ultrafast βTPA and large n2, demonstrated all-optical modulation and wavelength switching schemes [6

6. P. Mehta, N. Healy, T. D. Day, J. R. Sparks, P. J. A. Sazio, J. V. Badding, and A. C. Peacock, “All-optical modulation using two-photon absorption in silicon core optical fibers,” Opt. Express 19, 19078–19083 (2011) [CrossRef] [PubMed] .

, 14

14. P. Mehta, N. Healy, T. D. Day, J. V. Badding, and A. C. Peacock, “Ultrafast wavelength conversion via cross-phase modulation in hydrogenated amorphous silicon optical fibers,” Opt. Express 20, 26110–26116 (2012) [CrossRef] [PubMed] .

]. These silicon-based fibers provide an important step towards integrating semiconductor functionality with conventional fiber infrastructures as well as allowing for the construction of robust devices with novel waveguiding properties [15

15. N. Healy, J. R. Sparks, P. J. A. Sazio, J. V. Badding, and A. C. Peacock, “Tapered silicon optical fibers,” Opt. Express 18, 7596–7601 (2010) [CrossRef] [PubMed] .

].

2. Pulse propagation in a silicon optical fiber

3. Characterization of the optical transmission properties

3.1. Experimental configuration

Our optical characterizations are based on transmission measurements in a 2.4cm long a-Si:H fiber with a core diameter of 5.7μm, that are conducted using the experimental setup shown in Fig. 1(a). Different laser sources were employed to measure both the linear losses and nonlinear parameters over the broad wavelength range 1.45–2.3μm, and will be described separately for each measurement. A variable attenuator was used to control the power coupled into the fiber from the different sources to access the high and low power regimes. The light was launched into the fiber core via free space coupling using a 40× magnification microscope objective lens, and a second 40× objective was used to capture the transmitted light and focus it onto a lead selenide (PbSe) detector or an optical spectrum analyzer (OSA). Two beam splitters (90/10) were placed before and after the fiber to capture, firstly, the reflected light from the input end face, and, secondly, the transmitted light from the output end face, which were monitored using two CCD cameras (CCD1 and CCD2). The use of these cameras ensured efficient coupling into the center of the core so that the fundamental mode was primarily excited [19

19. A. C. Peacock, P. Mehta, P. Horak, and N. Healy, “Nonlinear pulse dynamics in multimode silicon core optical fibers,” Opt. Lett. 37, 3351–3353 (2012) [CrossRef] .

].

Fig. 1 (a) Schematic of the transmission setup. Attenuator (ATT), beam-splitter (BS), microscope objective lenses (O1 & O2), CCD detectors (CCD1 & CCD2), PbSe detector, optical spectrum analyser (OSA). Inset is the guided beam imaged on CCD2. (b) Linear loss measurements as a function of wavelength.

3.2. Linear propagation loss

The linear loss measurements were undertaken with two laser sources: (i) a Ti:sappire pumped femtosecond optical parametric oscillator (OPO) for the near-IR measurements spanning 1.45 – 2μm and (ii) a continuous wave (CW) tunable Cr2+ : ZnSe laser which covered the mid-IR wavelengths of 2 – 2.3μm, as shown in Fig. 1(a). The input and output powers were both monitored using power meters. In order to avoid the effects of nonlinear absorption when using the OPO, which had a pulse duration of 200fs (FWHM) and a repetition rate of 80MHz, the average launch power was kept below 100μW. The losses were then determined using the cutback method, during which several sections were cut from the fiber so that the total removed length was 1.1cm. The loss values over the entire wavelength range are shown in Fig. 1(b). These results follow the same trend of decreasing loss for increasing wavelength observed in earlier measurements of the silicon core fibers [20

20. L. Lagonigro, N. Healy, J. R. Sparks, N. F. Baril, P. J. A. Sazio, J. V. Badding, and A. C. Peacock, “Low loss silicon fibers for photonics applications,” Appl. Phys. Lett. 96, 041105 (2010) [CrossRef] .

], and in this amorphous material the main contributions to the losses are likely to be a combination of scattering due to density fluctuations and some electronic absorption. These losses are some of the lowest reported for a-Si:H waveguides that are usually within the range: 1 – 10dB/cm at telecoms wavelengths [21

21. S. K. Selvaraja, E. Sleeckx, M. Schaekers, W. Bogaerts, D. Van Thourhout, P. Dumon, and R. Baets, “Low-loss amorphous silicon-on-insulator technology for photonic integrated circuitry,” Opt. Commun. 282, 1767–1770 (2009) [CrossRef] .

, 22

22. Y. Shoji, T. Ogasawara, T. Kamei, Y. Sakakibara, S. Suda, K. Kintaka, H. Kawashima, M. Okano, T. Hasama, H. Ishikawa, and M. Mori, “Ultrafast nonlinear effects in hydrogenated amorphous silicon wire waveguide,” Opt. Express 18, 5668–5673 (2010) [CrossRef] [PubMed] .

], and the value of 2.1dB/cm at 1.55μm is the lowest we have measured in a a-Si:H fiber of several centimeters in length. To verify this value, additional measurements were conducted with a 1.55μm CW diode, which returned the same loss, confirming that the nonlinear absorption was indeed negligible for the results taken with the OPO. Moreover, the losses in the range 2 – 2.3μm are the first reported for this material in the mid-IR regime, and are all ≲ 1dB/cm, reducing to 0.62dB/cm at 2.3μm. Additional measurements undertaken at 2.7μm (the limit of the Cr2+ : ZnSe laser) revealed that the losses continued to decrease down to 0.29dB/cm. We expect that the losses across the entire wavelength region could be reduced even further by improving the hydrogenation during the deposition, both in terms of concentration and uniformity, and this is a focus of our ongoing materials work.

3.3. Nonlinear absorption across the TPA edge

As the precise position of the TPA edge is not known for our a-Si:H material, we investigated the role of TPA for a range of wavelengths spanning half the theoretical bandgap energy of a-Si:H (Eg/2 ∼ 0.85eV) and up to the edge of the mid-IR region ∼ 2.15μm. To access sufficiently high powers, for these measurements we only employed the femtosecond OPO. Furthermore, to minimize the effects of dispersion on the short pulses, we used a short piece of fiber (L = 0.47cm) that was cut off during the characterization of the linear losses, which was considerably shorter than the dispersion length for all wavelengths (LD ∼ 1.44cm at 1.55μm). This allows for the neglect of dispersion during the propagation so that we can simply model the temporal evolution of the intensity profile under the influence of linear and nonlinear loss as [4

4. P. Mehta, N. Healy, N. F. Baril, P. J. A. Sazio, J. V. Badding, and A. C. Peacock, “Nonlinear transmission properties of hydrogenated amorphous silicon core optical fibers,” Opt. Express 18, 16826–16831 (2010) [CrossRef] [PubMed] .

]:
dI(z,t)dz=αlI(z,t)βTPAI2(z,t)σNc(z,t)I(z,t),
(3)
where I(z, t) = |A(z, t)|2/Aeff, and Nc is still determined via Eq. (2). The use of this simplified equation for the 200fs pulses has been verified through a comparison with results obtained with a ∼ 1ps (FWHM) telecoms fiber laser at 1.54μm.

For each wavelength, the output power was recorded as a function of coupled input peak power and the results are plotted in Fig. 2(a). For all wavelengths there is a linear dependence on the output power for low input powers < 50W. However, at higher input powers, the data for the short wavelengths (i.e., 1.55μm and 1.65μm) begin to saturate due to nonlinear absorption. In contrast, the largely linear trend exhibited for the longer wavelengths indicates that TPA is essentially negligible in this regime. As a result, this data provides an indication of the TPA edge of our core material, which is likely to be in the region 1.7μm, or Eg ∼ 1.4 – 1.5eV. We note that a similarly low value of the bandgap energy of a-Si:H has been measured via ellipsometry in Ref. [3

3. B. Kuyken, H. Ji, S. Clemmen, S. K. Selvaraja, H. Hu, M. Pu, M. Galili, P. Jeppesen, G. Morthier, S. Massar, L. K. Oxenløwe, G. Roelkens, and R. Baets, “Nonlinear properties of and nonlinear processing in hydrogenated amorphous silicon waveguides,” Opt. Express 19, B146–B153 (2011) [CrossRef] .

], and could be attributed to a change in material density due to the hydrogen content.

Fig. 2 (a) Nonlinear absorption measurements for the wavelengths given in the legend. The solid curves are the simulated fits obtained via solving Eqs. (2) and (3) for the corresponding wavelength. (b) TPA parameter as a function of wavelength extracted from Fig. 2(a). Inset: close up of the low value βTPA region. Error bars represent the uncertainty in the input powers.

3.4. SPM induced spectral evolution

To complete our characterizations, a series of experiments were conducted to study the spectral broadening induced by self-phase modulation (SPM) and determine the values of the Kerr coefficient n2 over this wavelength range. As in the nonlinear absorption measurements, for these experiments we only used the high peak power femtosecond OPO for the input source, but this time we monitored the output via a long wavelength OSA (Yokogawa AQ6375) covering 1.2 – 2.4μm. The measured SPM spectra are shown in Fig. 3 over a selected range of input wavelengths from 1.55 – 2.15μm, for propagation over the complete 2.4cm length. For each central wavelength, the output transmission spectra are recorded at two input peak powers, as designated by the legends. Here, the results obtained with low input powers are essentially free from nonlinear propagation and are included as an indicator of the bandwidth of the input pulse, and thus as a means to determine the size of the initial negative frequency chirp on our pulses which are not transform-limited. The chirp was not found to vary dramatically over this wavelength range, and had a value of C ∼ −0.9 at 1.55μm for an input Gaussian of the form A(0,t)=P0exp[1/2(1+iC)t2/T02], as determined from a comparison between the measured autocorrelation trace and a fit to the input spectrum which had a FWHM bandwidth of Δλ ∼ 23nm. The high power results are then used to illustrate the strong spectral broadening due to the large Kerr nonlinearity of the a-Si:H core material [4

4. P. Mehta, N. Healy, N. F. Baril, P. J. A. Sazio, J. V. Badding, and A. C. Peacock, “Nonlinear transmission properties of hydrogenated amorphous silicon core optical fibers,” Opt. Express 18, 16826–16831 (2010) [CrossRef] [PubMed] .

], with bandwidths of more than 200nm obtained for all wavelengths below 2.05μm. We attribute the limited spectral broadening seen for wavelengths above 2μm to the increased coupling losses (from 0.6dB at 1.55μm up to 3.8dB at 2.1μm) and the lack of output power as we move towards the edge of the tuning range of the OPO, and would expect to see proportionally larger bandwidths for ‘hundreds of watts’ input powers as used for the shorter wavelength measurements. It is also worth noting that the lack of clear SPM induced modulation on these spectra is in part due to the initial chirp and the noise on the input OPO spectra, but also due to the strong dispersion experienced by the femtosecond pulses. For comparison, the inset in the top left-hand corner of Fig. 3 shows the corresponding spectral broadening generated using the ∼ 1ps (FWHM) telecoms fiber laser, where the classic SPM shaping can be clearly observed.

Fig. 3 Experimental power-dependent transmission spectra as a function of pump center wavelength, as labeled in the legends. The dashed lines are numerical fits obtained by solving Eqs. (1) and (2). Inset (top left): SPM spectrum generated in the a-Si:H core fiber using a ∼ 1ps fiber laser centered at 1.54μm.

The size of the Kerr coefficient for each central wavelength can then be established by fitting the spectral broadening with the solutions to Eqs. (1) and (2), obtained with the predetermined loss parameters. The corresponding values of n2 are plotted in Fig. 4(a), which shows that as the input pulse wavelength is shifted across the TPA edge the n2 value first increases slightly up to a value of 1.75×10−13 cm2/W at 1.75μm, then drops to a modest value of 1.2×10−13 cm2/W at 2.15μm. This trend is as we would expect from the nonlinear Kramers-Krönig relation, where the values of n2 are expected to peak around the TPA edge, as similarly observed in c-Si around 2.2μm (Eg/2 ∼ 0.56eV) [24

24. A. D. Bristow, N. Rotenberg, and H. M. Van Driel, “Two-photon absorption and Kerr coefficients of silicon for 850 – 2200nm,” Appl. Phys. Lett. 90, 191104 (2007) [CrossRef] .

]. We note that the larger error bars for longer wavelengths are due to the smaller broadening factors associated with the lack of available coupled power at these wavelengths.

Fig. 4 (a) Wavelength dependence of the Kerr nonlinear coefficient n2. Error bars represent the uncertainty in the input powers. (b) Wavelength dispersion of the FOMNL.

As a final step, we have used our values of the nonlinear parameters βTPA and n2 to investigate the dispersion of the FOMNL, plotted in Fig. 4(b). This figure clearly shows that despite the decrease in n2 at the longer wavelengths, the dramatic reduction in βTPA results in a monotonic increase in the FOMNL. Thus, although the value of the FOMNL at 1.55μm for this a-Si:H core material is comparable to what we have reported before ∼ 1.6, it increases rapidly to ∼ 10 for the peak value of n2 at 1.75μm, then even further up to ∼ 28 at the longest wavelengths. It is important to note that whilst the validity of this figure of merit could be questioned beyond the TPA edge, it has been applied to the long wavelengths based on the non-zero values of the TPA parameter, and provides a clear indicator of the advantage of moving into a regime of low nonlinear loss. Thus these results show that with a complete picture of the FOMNL in the a-Si:H material, it is possible to access regimes of very highly nonlinear propagation, and thus it should be suitable for nonlinear applications around the 2μm regime.

4. Conclusion

We have characterized both the linear and nonlinear transmission properties of our a-Si:H core fibers from telecoms wavelengths, across the TPA edge, and up to the edge of the mid-IR regime. The dispersion curves obtained for the TPA and Kerr nonlinear parameters are in good qualitative agreement with the Kramers-Krönig transformations, and highlight the advantage of working in the vicinity of the TPA edge, where we have obtained some of the highest values of the FOMNL for this material to date. The results suggest that a-Si:H waveguides are a viable platform for nonlinear applications extending beyond telecoms, and into the short wavelength end of the mid-IR regime where applications include free-space communications, gas detection and medical diagnostics. We expect that continued efforts to understand the properties of this highly nonlinear material will help establish its use in wide ranging areas of research.

Acknowledgments

The authors acknowledge EPSRC ( EP/G051755/1, EP/J004863/1, and EP/I035307/1), NSF ( DMR-1107894) and the Penn State Materials Research Science and Engineering Center ( NSF DMR-0820404) for financial support.

References and links

1.

K. Narayanan and S. F. Preble, “Optical nonlinearities in hydrogenated-amorphous silicon waveguides,” Opt. Express 18, 8998–9005 (2010) [CrossRef] [PubMed] .

2.

C. Grillet, L. Carletti, C. Monat, P. Grosse, B. Ben Bakir, S. Menezo, J. M. Fedeli, and D. J. Moss, “Amorphous silicon nanowires combining high nonlinearity, FOM and optical stability,” Opt. Express 20, 22609–22615 (2012) [CrossRef] [PubMed] .

3.

B. Kuyken, H. Ji, S. Clemmen, S. K. Selvaraja, H. Hu, M. Pu, M. Galili, P. Jeppesen, G. Morthier, S. Massar, L. K. Oxenløwe, G. Roelkens, and R. Baets, “Nonlinear properties of and nonlinear processing in hydrogenated amorphous silicon waveguides,” Opt. Express 19, B146–B153 (2011) [CrossRef] .

4.

P. Mehta, N. Healy, N. F. Baril, P. J. A. Sazio, J. V. Badding, and A. C. Peacock, “Nonlinear transmission properties of hydrogenated amorphous silicon core optical fibers,” Opt. Express 18, 16826–16831 (2010) [CrossRef] [PubMed] .

5.

K. Narayanan, A. W. Elshaari, and S. F. Preble, “Broadband all-optical modulation in hydrogenated-amorphous silicon waveguides,” Opt. Express 18, 9809–9814 (2010) [CrossRef] [PubMed] .

6.

P. Mehta, N. Healy, T. D. Day, J. R. Sparks, P. J. A. Sazio, J. V. Badding, and A. C. Peacock, “All-optical modulation using two-photon absorption in silicon core optical fibers,” Opt. Express 19, 19078–19083 (2011) [CrossRef] [PubMed] .

7.

S. Clemmen, A. Perret, S. K. Selvaraja, W. Bogaerts, D. van Thourhout, R. Baets, Ph. Emplit, and S. Massar, “Generation of correlated photons in hydrogenated amorphous-silicon waveguides,” Opt. Lett. 35, 3483–3485 (2010) [CrossRef] [PubMed] .

8.

B. Kuyken, S. Clemmen, S. K. Selvaraja, W. Bogaerts, D. Van Thourhout, Ph. Emplit, S. Massar, G. Roelkens, and R. Baets, “On-chip parametric amplification with 26.5 dB gain at telecommunication wavelengths using CMOS-compatible hydrogenated amorphous silicon waveguides,” Opt. Lett. 36, 552–554 (2011) [CrossRef] [PubMed] .

9.

K.-Y. Wang and A. C. Foster, “Ultralow power continuous-wave frequency conversion in hydrogenated amorphous silicon waveguides,” Opt. Lett. 37, 1331–1333 (2012) [CrossRef] [PubMed] .

10.

B. Kuyken, X. Liu, G. Roelkens, R. Baets, R. M. Osgood Jr., and W. M. J. Green, “50dB parametric on-chip gain in silicon photonic wires,” Opt. Lett. 36, 4401–4403 (2011) [CrossRef] [PubMed] .

11.

B. Kuyken, X. Liu, R. M. Osgood Jr., R. Baets, G. Roelkens, and W. M. J. Green, “Mid-infrared to telecom-band supercontinuum generation in highly nonlinear silicon-on-insulator wire waveguides,” Opt. Express 19, 20172–20181 (2011) [CrossRef] [PubMed] .

12.

N. F. Baril, R. He, Rongrui, T. D. Day, J. R. Sparks, B. Keshavarzi, M. Krishnamurthi, A. Borhan, V. Gopalan, A. C. Peacock, N. Healy, P. J. A. Sazio, and J. V. Badding, “Confined high-pressure chemical deposition of hydrogenated amorphous silicon,” J. Am. Chem. Soc. 134, 19–22 (2011) [CrossRef] [PubMed] .

13.

J. Ballato, T. Hawkins, P. Foy, B. Yazgan-Kokuoz, C. McMillen, L. Burka, S. Morris, R. Stolen, and R. Rice, “Advancements in semiconductor core optical fiber,” Opt. Fiber Technol. 16, 399–408 (2010) [CrossRef] .

14.

P. Mehta, N. Healy, T. D. Day, J. V. Badding, and A. C. Peacock, “Ultrafast wavelength conversion via cross-phase modulation in hydrogenated amorphous silicon optical fibers,” Opt. Express 20, 26110–26116 (2012) [CrossRef] [PubMed] .

15.

N. Healy, J. R. Sparks, P. J. A. Sazio, J. V. Badding, and A. C. Peacock, “Tapered silicon optical fibers,” Opt. Express 18, 7596–7601 (2010) [CrossRef] [PubMed] .

16.

L. Yin and G. P. Agrawal, “Impact of two-photon absorption on self-phase modulation in silicon waveguides,” Opt. Lett. 32, 2031–2033 (2007) [CrossRef] [PubMed] .

17.

H. H. Li, “Refractive index of silicon and germanium and its wavelength and temperature derivatives,” J. Phys. Chem. Ref. Data 9, 561–658 (1980) [CrossRef] .

18.

J. Matres, G. C. Ballesteros, P. Gautier, J.-M. Fédéli, J. Martí, and C. J. Oton, “High nonlinear figure-of-merit amorphous silicon waveguides,” Opt. Express 21, 3932–3940 (2013) [CrossRef] [PubMed] .

19.

A. C. Peacock, P. Mehta, P. Horak, and N. Healy, “Nonlinear pulse dynamics in multimode silicon core optical fibers,” Opt. Lett. 37, 3351–3353 (2012) [CrossRef] .

20.

L. Lagonigro, N. Healy, J. R. Sparks, N. F. Baril, P. J. A. Sazio, J. V. Badding, and A. C. Peacock, “Low loss silicon fibers for photonics applications,” Appl. Phys. Lett. 96, 041105 (2010) [CrossRef] .

21.

S. K. Selvaraja, E. Sleeckx, M. Schaekers, W. Bogaerts, D. Van Thourhout, P. Dumon, and R. Baets, “Low-loss amorphous silicon-on-insulator technology for photonic integrated circuitry,” Opt. Commun. 282, 1767–1770 (2009) [CrossRef] .

22.

Y. Shoji, T. Ogasawara, T. Kamei, Y. Sakakibara, S. Suda, K. Kintaka, H. Kawashima, M. Okano, T. Hasama, H. Ishikawa, and M. Mori, “Ultrafast nonlinear effects in hydrogenated amorphous silicon wire waveguide,” Opt. Express 18, 5668–5673 (2010) [CrossRef] [PubMed] .

23.

J. S. Sanghera, I. D. Aggarwal, L. B. Shaw, C. M. Florea, P. Pureza, V. Q. Nguyen, F. Kung, and I. D. Aggarwal, “Nonlinear properties of chalcogenide glass fibers,” J. Optoelectron. Adv. M. 8, 2148–2155 (2006).

24.

A. D. Bristow, N. Rotenberg, and H. M. Van Driel, “Two-photon absorption and Kerr coefficients of silicon for 850 – 2200nm,” Appl. Phys. Lett. 90, 191104 (2007) [CrossRef] .

OCIS Codes
(060.2270) Fiber optics and optical communications : Fiber characterization
(060.2290) Fiber optics and optical communications : Fiber materials
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: April 5, 2013
Revised Manuscript: May 3, 2013
Manuscript Accepted: May 13, 2013
Published: May 21, 2013

Citation
L. Shen, N. Healy, P. Mehta, T. D. Day, J. R. Sparks, J. V. Badding, and A. C. Peacock, "Nonlinear transmission properties of hydrogenated amorphous silicon core fibers towards the mid-infrared regime," Opt. Express 21, 13075-13083 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-11-13075


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References

  1. K. Narayanan and S. F. Preble, “Optical nonlinearities in hydrogenated-amorphous silicon waveguides,” Opt. Express18, 8998–9005 (2010). [CrossRef] [PubMed]
  2. C. Grillet, L. Carletti, C. Monat, P. Grosse, B. Ben Bakir, S. Menezo, J. M. Fedeli, and D. J. Moss, “Amorphous silicon nanowires combining high nonlinearity, FOM and optical stability,” Opt. Express20, 22609–22615 (2012). [CrossRef] [PubMed]
  3. B. Kuyken, H. Ji, S. Clemmen, S. K. Selvaraja, H. Hu, M. Pu, M. Galili, P. Jeppesen, G. Morthier, S. Massar, L. K. Oxenløwe, G. Roelkens, and R. Baets, “Nonlinear properties of and nonlinear processing in hydrogenated amorphous silicon waveguides,” Opt. Express19, B146–B153 (2011). [CrossRef]
  4. P. Mehta, N. Healy, N. F. Baril, P. J. A. Sazio, J. V. Badding, and A. C. Peacock, “Nonlinear transmission properties of hydrogenated amorphous silicon core optical fibers,” Opt. Express18, 16826–16831 (2010). [CrossRef] [PubMed]
  5. K. Narayanan, A. W. Elshaari, and S. F. Preble, “Broadband all-optical modulation in hydrogenated-amorphous silicon waveguides,” Opt. Express18, 9809–9814 (2010). [CrossRef] [PubMed]
  6. P. Mehta, N. Healy, T. D. Day, J. R. Sparks, P. J. A. Sazio, J. V. Badding, and A. C. Peacock, “All-optical modulation using two-photon absorption in silicon core optical fibers,” Opt. Express19, 19078–19083 (2011). [CrossRef] [PubMed]
  7. S. Clemmen, A. Perret, S. K. Selvaraja, W. Bogaerts, D. van Thourhout, R. Baets, Ph. Emplit, and S. Massar, “Generation of correlated photons in hydrogenated amorphous-silicon waveguides,” Opt. Lett.35, 3483–3485 (2010). [CrossRef] [PubMed]
  8. B. Kuyken, S. Clemmen, S. K. Selvaraja, W. Bogaerts, D. Van Thourhout, Ph. Emplit, S. Massar, G. Roelkens, and R. Baets, “On-chip parametric amplification with 26.5 dB gain at telecommunication wavelengths using CMOS-compatible hydrogenated amorphous silicon waveguides,” Opt. Lett.36, 552–554 (2011). [CrossRef] [PubMed]
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