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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 6 — Mar. 15, 2010
  • pp: 5942–5950
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Novel slow light waveguide with controllable delay-bandwidth product and utra-low dispersion

Ran Hao, Eric Cassan, Hamza Kurt, Xavier Le Roux, Delphine Marris-Morini, Laurent Vivien, Huaming Wu, Zhiping Zhou, and Xinliang Zhang  »View Author Affiliations


Optics Express, Vol. 18, Issue 6, pp. 5942-5950 (2010)
http://dx.doi.org/10.1364/OE.18.005942


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Abstract

We demonstrate a novel type of slow light photonic crystal waveguide which can produce unusual “U” type group index - frequency curves with constant group index n g over large bandwidth. By shifting the boundaries of this waveguide, flexible control of n g (10 < n g < 210) with large bandwidth (1nm<Δλ<43nm centered at 1550nm) and normalized Delay-Bandwidth Product (0.1363<DBP<0.3143) are achieved. Additionally, depending on the chosen waveguide geometry, extremely low group velocity dispersion (GVD<0.5 ps.nm−1.mm−1), with controllable group velocity dispersion of both signs is obtained.

© 2010 OSA

1. Introduction

Slow light technology shows an amazing future for optical buffering, optical logical gates and all-optical signal processing in the next-generation photonic networks and optical integrated circuits [1–5]. Up to now, there are mainly three methods to exploit slow light effects: electromagnetically induced transparency [6], coherent population oscillation [7], and optical coupled resonators or photonic crystal waveguides (PCW) [4,5]. Slow light in PCW has received more attention because it works at room temperature, provides larger bandwidths if compared with the other two solutions, and can be fabricated using standard semiconductor planar technologies.

Among all PCW devices, W1 waveguides formed by removing the central row of holes/rods in a perfect two-dimensional planar photonic crystal (PC) have been studied thoroughly [8,9]. These waveguides sustain guided mode inside photonic band gap and produce slow light at the band edge where the dispersion relation has a parabolic form. However, large group index in W1 waveguides is only obtained in extremely narrow bandwidth and large group velocity dispersion (GVD) effects accompany the slow light regime, with as a result causes large signal distortion during pulse propagation [10].

So far, two main solutions in PCW have been proposed to eliminate the drawbacks due to limited bandwidth and obtain dispersion free slow light. The first one is based on nearly-zero dispersion by adjusting the PC geometry, including changing the hole size [11

11. L. H. Frandsen, A. V. Lavrinenko, J. Fage-Pedersen, and P. I. Borel, “Photonic crystal waveguides with semi-slow light and tailored dispersion properties,” Opt. Express 14(20), 9444–9450 (2006). [CrossRef] [PubMed]

] or hole position [12

12. J. Li, T. P. White, L. O’Faolain, A. Gomez-Iglesias, and T. F. Krauss, “Systematic design of flat band slow light in photonic crystal waveguides,” Opt. Express 16(9), 6227–6232 (2008). [CrossRef] [PubMed]

] of the first two rows, and introducing annular holes for the whole lattices [13

13. A. Säynätjoki, M. Mulot, J. Ahopelto, and H. Lipsanen, “Dispersion engineering of photonic crystal waveguides with ring-shaped holes,” Opt. Express 15(13), 8323–8328 (2007). [CrossRef] [PubMed]

] or only the first row [14

14. J. Hou, D. Gao, H. Wu, and R. Hao, “Flat Band Slow Light in Symmetric Line Defect Photonic Crystals Waveguide,” IEEE Photon. Tech. Lett.21, 1571-1573 (2009). [CrossRef]

,15

15. L. Dai and C. Jiang, “Photonic crystal slow light waveguides with large delay-bandwidth product,” Appl. Phys. B 95(1), 105–111 (2009). [CrossRef]

]. The second one is based on dispersion compensation, achieved by adding two opposite dispersion regions in a chirped waveguide [16

16. T. Baba, T. Kawaaski, H. Sasaki, J. Adachi, and D. Mori, “Large delay-bandwidth product and tuning of slow light pulse in photonic crystal coupled waveguide,” Opt. Express 16(12), 9245–9253 (2008). [CrossRef] [PubMed]

,17

17. D. Mori and T. Baba, “Wideband and low dispersion slow light by chirped photonic crystal coupled waveguide,” Opt. Express 13(23), 9398–9408 (2005). [CrossRef] [PubMed]

].

We explore in this paper a much simpler solution to provide slow waves in the largest possible bandwidth. The proposed solution is based on a single parameter change with respect to W1 waveguide but brings advantages to achievable bandwidth for large group indices and low GVD values.

The new waveguides could be useful for future integrated photonic applications such as optical delay lines and dispersion compensating devices.

2. The new waveguide geometry

The proposed structure starts from a W1 waveguide obtained by removing one row of holes in a triangular PC lattice. Then, the two rows of air holes that border the waveguide axis are deliberately shifted by a δx distance. Standard silicon on insulator (SOI) is considered as the typical reference technology. The considered indices for air (top layer), silicon layer (middle layer), and silica (bottom layer) are 1.0, 3.45 and 1.45, respectively. The silicon layer of SOI wafer has a thickness of 283 nm, and the radius of the air hole is 0.286a, with a the PC lattice constant. The whole structure is depicted in Fig. 1
Fig. 1 a) Schematic picture of the proposed PC waveguide geometry, b) An example of “U” type group index- normalized frequency curve obtained for δx = 0.27a
(a).

Obviously, PCW geometry can be treated as a one-dimensional waveguide. Yet, shifting the two bordering of holes introduces another one-dimensional corrugation, which drastically changes the slow light nature. We found the group index – normalized frequency curves turn to the form of letter “U” when δx is increased to appropriate values. Figure 1(b) shows the situation for δx = 0.27a as a typical example. In this very first situation, it is observed that a nearly flat group index with values above 100 is obtained in a fairly large bandwidth.

3. Physical analysis

To understand this surprising phenomenon, we studied in detail the influence of the δx shift quantity on the waveguide dispersion curves using the plane wave expansion method (PWE). The investigated guide modes are supposed to transverse-electric (TE)-like polarization, i.e. with magnetic field parallel to the vertical direction. Due to the computational cost of three-dimensional simulations, two-dimensional simulations with a slab effective index 2.98 were considered here.

Figure 2(a)
Fig. 2 a) Band diagram along the waveguide propagation direction for various values of the δx tuning geometrical parameter, and Ey field distributions for different δx values at k-points: b) K = 0.36881(2π/a), c) K = 0.44059(2π/a), d) K = 0.495(2π/a).
shows the calculated dispersion diagrams of the proposed structure when δx is gradually varied from 0 to 0.5a. Results for δx in the range between 0.5a and a would be the same as those obtained for δx between 0 and 0.5a due to the waveguide symmetry in x direction, and are thus not depicted. When there is no shift (δx = 0, regular PCW) the waveguide modes show two distinct regions below the light line. These are the fast light region (index-guiding regime) and slow light region (photonic gap guiding regime) [8

8. M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, “Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs,” Phys. Rev. Lett. 113903, 87 (2001). [CrossRef] [PubMed]

]. The two regions have a turning point, i.e. the slope of the curve changes from linear one to a quadratic form. When δx starts to increase, the waveguide mode shifts to upper frequencies. The band nature then changes drastically due to the different variations at the two areas around k = 0.36(2π/a) and k = 0.50(2π/a). For the area near the first Brillouin zone (BZ) edge (k = (0.5)2π/a), band moves upwards particularly fast, while for the area near the light line, the band moves less pronounced. As a result, the tailored band curve becomes obviously curl up. When δx is increased from 0a to 0.2a, bands shift little to the higher frequencies and became more and more flat, which means the group index (ng) gradually increases. When δx is about 0.25a, the flattest band curve is obtained, corresponding to the largestng. After 0.25a, with continuous increase of δx, band curves are no longer flat. However, with continuous increase of δx, quasi-linear evolution curves are observed between the high moving speed part and the low moving speed part. This predicts a constant ngover a large frequency range [11

11. L. H. Frandsen, A. V. Lavrinenko, J. Fage-Pedersen, and P. I. Borel, “Photonic crystal waveguides with semi-slow light and tailored dispersion properties,” Opt. Express 14(20), 9444–9450 (2006). [CrossRef] [PubMed]

,12

12. J. Li, T. P. White, L. O’Faolain, A. Gomez-Iglesias, and T. F. Krauss, “Systematic design of flat band slow light in photonic crystal waveguides,” Opt. Express 16(9), 6227–6232 (2008). [CrossRef] [PubMed]

,14

14. J. Hou, D. Gao, H. Wu, and R. Hao, “Flat Band Slow Light in Symmetric Line Defect Photonic Crystals Waveguide,” IEEE Photon. Tech. Lett.21, 1571-1573 (2009). [CrossRef]

,15

15. L. Dai and C. Jiang, “Photonic crystal slow light waveguides with large delay-bandwidth product,” Appl. Phys. B 95(1), 105–111 (2009). [CrossRef]

].

The evolution of the PCW dispersion diagram with δx can be interpreted from the analysis of field profiles within the structure for different wave vectors and different values of δx. Figsures 2(b) (c) (d) give the electric field distributions for seven δx values at three specific wave numbers: K = 0.36881(2π/a), K = 0.44059(2π/a), K = 0.495(2π/a), respectively.

As shown in Fig. 2(b), when the wave vector is near the light line, field leak through sideways is limited. This is due to the fact that the confinement of E-field is then dominated by the index-like effect [8

8. M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, “Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs,” Phys. Rev. Lett. 113903, 87 (2001). [CrossRef] [PubMed]

]. However, when the wave vector is close to BZ edge as in Fig. 2(d), field is less confined within the central waveguide region because confinement of waves turns to be dominated by band gap effect [8

8. M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, “Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs,” Phys. Rev. Lett. 113903, 87 (2001). [CrossRef] [PubMed]

]. As a result, the waveguide mode at the BZ edge is more sensitive to the shift of the air holes if compared with those near the light line. This explains why the dispersion diagram evolution when δx varies is small around the light line near K = 0.36881(2π/a). Moreover, the degree of the localization of the field within the air holes increases with increasing δx values. As waves at the BZ edge are more and more strongly confined inside air holes, the effective index seen by the field decreases, which means that bands are pushed towards higher values.

To better illustrate the waveguide properties, band diagram and group index curves are simultaneously plotted in Fig. 3
Fig. 3 Details about the δx = 0.5a waveguide: a) Dispersion curve, b) Group index variation.
for three values of δx. The black line in Fig. 3 represents un-shifted structure (a normal PCW), the brown circled line and the blue triangle line represent the shifted structure with δx = 0.28a and 0.5a, respectively. Two inflection points “a” and “c” should be noticed because their group velocities both go down to zero but have different origins. Point “c” is the well-known slow light band edge formed by the interference of forward and backward waves [5

5. T. F. Krauss, “Slow light in photonic crystal waveguides,” J. Phys. D Appl. Phys. 40(9), 2666–2670 (2007). [CrossRef]

]. However, point “a” is believed to be formed by shifting the boundary of the waveguide in our proposed structure. It is clearly shown in Fig. 3(b) that inflection point “a” corresponds to a new sharp peak in the middle of K-path (in the region K = 0.36(2π/a)~0.38(2π/a)). This means we now have a new slow light center in the middle of the K-path. Regarding to the slow light at the band edge, we have two slow light peaks in the K-path, which form this U type.

Somehow, the cost to pay to obtain these original dispersion curves lies in the fact that the new PhC waveguides are not strictly single-mode for all δx values. It is clear from Fig. 3 that two modes with the same even symmetry with respect to the waveguide axis are present at the same normalized wavelength: a/λ = 0.255 and δx = 0.5a can be typically considered to see this. It is yet emphasized here that one of these two modes is situated above the light line, making it intrinsically leaky. As shown in [18

18. S. McNab, N. Moll, and Y. Vlasov, “Ultra-low loss photonic integrated circuit with membrane-type photonic crystal waveguides,” Opt. Express 11(22), 2927–2939 (2003). [CrossRef] [PubMed]

], such modes strongly decay when light propagation lengths are more than 100µm.

All PhC waveguide structures proposed in this work operate in single mode situation below the light line. This makes them suitable for the practical realization of slow wave devices.

4. Slow light performance

4.1 Group index characteristics

The most important issue for slow light device is the group velocity vg = ∂ω/∂k or group index ng = c/vg that quantitatively describe how slow the light is [4

4. T. Baba, “Slow light in photonic crystals,” Nat. Photon. 2(8), 465–473 (2008). [CrossRef]

,5

5. T. F. Krauss, “Slow light in photonic crystal waveguides,” J. Phys. D Appl. Phys. 40(9), 2666–2670 (2007). [CrossRef]

].

As shown in Fig. 4, all calculated ng curves turn to an unusual form of “ngdecrease—constant ngng increase”, hereafter called the “U-type” ng curves. As a consequence, nearly constant ng over a wide bandwidth have been achieved due to the flatness of the U-type curve center.

Furthermore, a general trend can be drawn here: when δx increases, the average group index (n˜g) value in the constant region decreases, at the same time the corresponding bandwidth increases. This trend predicts there exists a trade-off between ng values and bandwidth values in our device, like in all other slow light devices.

4.2 Delay-bandwidth product

The concept of group index describes how slow the light is. However, for slow light device, only talking about ng is meaningless [4

4. T. Baba, “Slow light in photonic crystals,” Nat. Photon. 2(8), 465–473 (2008). [CrossRef]

], because we must care about the bandwidth at the same time. The delay-bandwidth product (DBP) is a good indication of the highest slow light capacity that the device potentially provides [4

4. T. Baba, “Slow light in photonic crystals,” Nat. Photon. 2(8), 465–473 (2008). [CrossRef]

]. We will focus on the normalized delay-bandwidth product (NDBP) value in this paper, because it is universal for comparison between devices having different lengths and different operating frequencies. The NDBP is defined by:
NDBPn˜g×Δωω
(1)
The average group index n˜gis calculated by: n˜g=ω0ω0+Δωng(ω)dω/Δω (4)

Up to now, there are many papers studying about flat band slow light [11

11. L. H. Frandsen, A. V. Lavrinenko, J. Fage-Pedersen, and P. I. Borel, “Photonic crystal waveguides with semi-slow light and tailored dispersion properties,” Opt. Express 14(20), 9444–9450 (2006). [CrossRef] [PubMed]

17

17. D. Mori and T. Baba, “Wideband and low dispersion slow light by chirped photonic crystal coupled waveguide,” Opt. Express 13(23), 9398–9408 (2005). [CrossRef] [PubMed]

,22

22. D. Mori, S. Kubo, H. Sasaki, and T. Baba, “Experimental demonstration of wideband dispersion-compensated slow light by a chirped photonic crystal directional coupler,” Opt. Express 15(9), 5264–5270 (2007). [CrossRef] [PubMed]

25

25. J. Ma and C. Jiang, “Demonstration of ultraslow modes in asymmetric line-defect photonic crystal waveguides,” IEEE Photon. Technol. Lett. 20(14), 1237–1239 (2008). [CrossRef]

]. However, it is difficult to make comparison between those papers, because different papers have given NDBP according to different flat judgments. For example, ref [12

12. J. Li, T. P. White, L. O’Faolain, A. Gomez-Iglesias, and T. F. Krauss, “Systematic design of flat band slow light in photonic crystal waveguides,” Opt. Express 16(9), 6227–6232 (2008). [CrossRef] [PubMed]

] has pointed out NDBP value of 0.24 within 10% ng variation with respect to their mean n˜g value, and ref [15

15. L. Dai and C. Jiang, “Photonic crystal slow light waveguides with large delay-bandwidth product,” Appl. Phys. B 95(1), 105–111 (2009). [CrossRef]

] has pointed out value of 0.6 within ng variation much larger than 100% with respect to their mean n˜g value. It is not correct to say ref [15

15. L. Dai and C. Jiang, “Photonic crystal slow light waveguides with large delay-bandwidth product,” Appl. Phys. B 95(1), 105–111 (2009). [CrossRef]

] has better NDBP performance than ref [12

12. J. Li, T. P. White, L. O’Faolain, A. Gomez-Iglesias, and T. F. Krauss, “Systematic design of flat band slow light in photonic crystal waveguides,” Opt. Express 16(9), 6227–6232 (2008). [CrossRef] [PubMed]

].

The flat ratio (FR) is defined as:
μ=ngmaxngminn˜g
(2)
Where, ngmaxis the maximum value of group index within the bandwidth, ngminis the minimum value of group index within the bandwidth.

Table 1

Table 1. Overall of average group indices and NDBP values of our proposed structure obtained by tuning various the δx parameter under a 0.2 flat ratio.

table-icon
View This Table
summaries the values of average group index n˜g and NDBP values. In accordance with refs [11

11. L. H. Frandsen, A. V. Lavrinenko, J. Fage-Pedersen, and P. I. Borel, “Photonic crystal waveguides with semi-slow light and tailored dispersion properties,” Opt. Express 14(20), 9444–9450 (2006). [CrossRef] [PubMed]

,12

12. J. Li, T. P. White, L. O’Faolain, A. Gomez-Iglesias, and T. F. Krauss, “Systematic design of flat band slow light in photonic crystal waveguides,” Opt. Express 16(9), 6227–6232 (2008). [CrossRef] [PubMed]

,23

23. J. Jágerská, N. Le Thomas, V. Zabelin, R. Houdré, W. Bogaerts, P. Dumon, and R. Baets, “Experimental observation of slow mode dispersion in photonic crystal coupled-cavity waveguides,” Opt. Lett. 34(3), 359–361 (2009). [CrossRef] [PubMed]

], the flat ratio considered here is 0.2 corresponding to a maximum of 10% ng variation with respect to the mean n˜g value.

To the best of our knowledge, the largest constant ng with a bandwidth reported in PCs is 105 with a bandwidth 2.3 nm [23

23. J. Jágerská, N. Le Thomas, V. Zabelin, R. Houdré, W. Bogaerts, P. Dumon, and R. Baets, “Experimental observation of slow mode dispersion in photonic crystal coupled-cavity waveguides,” Opt. Lett. 34(3), 359–361 (2009). [CrossRef] [PubMed]

], but it requires a complicated structure. Our results provide even larger constant ngwith a similar delay-bandwidth product performance, for example: ng = 211 with ∆ω/ω = 0.000645 at δx = 0.25a, ng = 140 with ∆ω/ω = 0.001 at δx = 0.26a. It is underlined here that these results reveal the possibility to a versatile control of ng and bandwidth with only one simple structural parameter.

5. Dispersion performance

Another important issue for slow light devices is group velocity dispersion (GVD) effects [10

10. E. Dulkeith, F. N. Xia, L. Schares, W. M. J. Green, and Y. A. Vlasov, “Group index and group velocity dispersion in silicon-on-insulator photonic wires,” Opt. Express 14(9), 3853–3863 (2006). [CrossRef] [PubMed]

,12

12. J. Li, T. P. White, L. O’Faolain, A. Gomez-Iglesias, and T. F. Krauss, “Systematic design of flat band slow light in photonic crystal waveguides,” Opt. Express 16(9), 6227–6232 (2008). [CrossRef] [PubMed]

,26

26. R. J. P. Engelen, Y. Sugimoto, Y. Watanabe, J. P. Korterik, N. Ikeda, N. F. van Hulst, K. Asakawa, and L. Kuipers, “The effect of higher-order dispersion on slow light propagation in photonic crystal waveguides,” Opt. Express 14(4), 1658–1672 (2006). [CrossRef] [PubMed]

] which cause drawbacks due to pulse broadening and signal distortion [12

12. J. Li, T. P. White, L. O’Faolain, A. Gomez-Iglesias, and T. F. Krauss, “Systematic design of flat band slow light in photonic crystal waveguides,” Opt. Express 16(9), 6227–6232 (2008). [CrossRef] [PubMed]

,26

26. R. J. P. Engelen, Y. Sugimoto, Y. Watanabe, J. P. Korterik, N. Ikeda, N. F. van Hulst, K. Asakawa, and L. Kuipers, “The effect of higher-order dispersion on slow light propagation in photonic crystal waveguides,” Opt. Express 14(4), 1658–1672 (2006). [CrossRef] [PubMed]

].

The GVD parameter Dλ is calculated as:

Dλ=2πcλ2β2=2πcλ22kω2
(3)

Figure 6
Fig. 6 GVD dispersion obtained for different values of the δx waveguide geometrical parameter.
shows the calculated values of Dλ of the proposed structure. It is clearly shown from Fig. 6 that there exists a bandwidth of “zero” dispersion in each situation, and the bandwidth of “zero” dispersion increases rapidly when δx increases. These “zero” dispersion areas correspond to the constant ng areas as shown in Fig. 4.

For low ng situation, the corresponding GVD values are also low, and flat bandwidth with “zero” dispersion is thus observed. For high ng situations (0.25a ≤ δx ≤ 0.27a), GVD values are separately shown in the inset picture of Fig. 6, for clarity.

Interestingly, each GVD curve also presents a negative GVD frequency range and a positive GVD frequency range. This reveals the possibility of dispersion compensating applications [22

22. D. Mori, S. Kubo, H. Sasaki, and T. Baba, “Experimental demonstration of wideband dispersion-compensated slow light by a chirped photonic crystal directional coupler,” Opt. Express 15(9), 5264–5270 (2007). [CrossRef] [PubMed]

] using our proposed structure. The slow light bandwidth could be effectively enlarged by cascading two sections of waveguides with opposite GVD values for the same wavelength. These aspects will be explored in a future work.

6. Conclusion

References and links

1.

Y. A. Vlasov, M. O’Boyle, H. F. Hamann, and S. J. McNab, “Active control of slow light on a chip with photonic crystal waveguides,” Nat. 438(7064), 65–69 (2005). [CrossRef]

2.

R. Won, “Slow light now and then,” Nat. Photonics 2(8), 454–455 (2008). [CrossRef]

3.

T. F. Krauss, “Why do we need slow light?” Nat. Photon. 2(8), 448–450 (2008). [CrossRef]

4.

T. Baba, “Slow light in photonic crystals,” Nat. Photon. 2(8), 465–473 (2008). [CrossRef]

5.

T. F. Krauss, “Slow light in photonic crystal waveguides,” J. Phys. D Appl. Phys. 40(9), 2666–2670 (2007). [CrossRef]

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M. D. Lukin and A. Imamoğlu, “Controlling photons using electromagnetically induced transparency,” Nature 413(6853), 273–276 (2001). [CrossRef] [PubMed]

7.

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, “Observation of ultraslow light propagation in a ruby crystal at room temperature,” Phys. Rev. Lett. 90(11), 113903 (2003). [CrossRef] [PubMed]

8.

M. Notomi, K. Yamada, A. Shinya, J. Takahashi, C. Takahashi, and I. Yokohama, “Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs,” Phys. Rev. Lett. 113903, 87 (2001). [CrossRef] [PubMed]

9.

M. Loncar, T. Doll, J. Vuckovic, and A. Scherer, “Design and fabrication of silicon photonic crystal optical waveguides,” J. Lightwave Technol. 18(10), 1402–1411 (2000). [CrossRef]

10.

E. Dulkeith, F. N. Xia, L. Schares, W. M. J. Green, and Y. A. Vlasov, “Group index and group velocity dispersion in silicon-on-insulator photonic wires,” Opt. Express 14(9), 3853–3863 (2006). [CrossRef] [PubMed]

11.

L. H. Frandsen, A. V. Lavrinenko, J. Fage-Pedersen, and P. I. Borel, “Photonic crystal waveguides with semi-slow light and tailored dispersion properties,” Opt. Express 14(20), 9444–9450 (2006). [CrossRef] [PubMed]

12.

J. Li, T. P. White, L. O’Faolain, A. Gomez-Iglesias, and T. F. Krauss, “Systematic design of flat band slow light in photonic crystal waveguides,” Opt. Express 16(9), 6227–6232 (2008). [CrossRef] [PubMed]

13.

A. Säynätjoki, M. Mulot, J. Ahopelto, and H. Lipsanen, “Dispersion engineering of photonic crystal waveguides with ring-shaped holes,” Opt. Express 15(13), 8323–8328 (2007). [CrossRef] [PubMed]

14.

J. Hou, D. Gao, H. Wu, and R. Hao, “Flat Band Slow Light in Symmetric Line Defect Photonic Crystals Waveguide,” IEEE Photon. Tech. Lett.21, 1571-1573 (2009). [CrossRef]

15.

L. Dai and C. Jiang, “Photonic crystal slow light waveguides with large delay-bandwidth product,” Appl. Phys. B 95(1), 105–111 (2009). [CrossRef]

16.

T. Baba, T. Kawaaski, H. Sasaki, J. Adachi, and D. Mori, “Large delay-bandwidth product and tuning of slow light pulse in photonic crystal coupled waveguide,” Opt. Express 16(12), 9245–9253 (2008). [CrossRef] [PubMed]

17.

D. Mori and T. Baba, “Wideband and low dispersion slow light by chirped photonic crystal coupled waveguide,” Opt. Express 13(23), 9398–9408 (2005). [CrossRef] [PubMed]

18.

S. McNab, N. Moll, and Y. Vlasov, “Ultra-low loss photonic integrated circuit with membrane-type photonic crystal waveguides,” Opt. Express 11(22), 2927–2939 (2003). [CrossRef] [PubMed]

19.

D. Marris-Morini, E. Cassan, D. Bernier, G. Maire, and L. Vivien, “Ultracompact tapers for light coupling into two-dimensional slab photonic-crystal waveguides in the slow light regime,” Opt. Eng. 47(1), 014602 (2008). [CrossRef]

20.

J. P. Hugonin, P. Lalanne, T. P. White, and T. F. Krauss, “Coupling into slow-mode photonic crystal waveguides,” Opt. Lett. 32(18), 2638–2640 (2007). [CrossRef] [PubMed]

21.

C. Martijn de Sterke, K. B. Dossou, T. P. White, L. C. Botten, and R. C. McPhedran, “Efficient coupling into slow light photonic crystal waveguide without transition region: role of evanescent modes,” Opt. Express 17(20), 17338–17343 (2009). [CrossRef] [PubMed]

22.

D. Mori, S. Kubo, H. Sasaki, and T. Baba, “Experimental demonstration of wideband dispersion-compensated slow light by a chirped photonic crystal directional coupler,” Opt. Express 15(9), 5264–5270 (2007). [CrossRef] [PubMed]

23.

J. Jágerská, N. Le Thomas, V. Zabelin, R. Houdré, W. Bogaerts, P. Dumon, and R. Baets, “Experimental observation of slow mode dispersion in photonic crystal coupled-cavity waveguides,” Opt. Lett. 34(3), 359–361 (2009). [CrossRef] [PubMed]

24.

M. D. Settle, R. J. P. Engelen, M. Salib, A. Michaeli, L. Kuipers, and T. F. Krauss, “Flatband slow light in photonic crystals featuring spatial pulse compression and terahertz bandwidth,” Opt. Express 15(1), 219–226 (2007). [CrossRef] [PubMed]

25.

J. Ma and C. Jiang, “Demonstration of ultraslow modes in asymmetric line-defect photonic crystal waveguides,” IEEE Photon. Technol. Lett. 20(14), 1237–1239 (2008). [CrossRef]

26.

R. J. P. Engelen, Y. Sugimoto, Y. Watanabe, J. P. Korterik, N. Ikeda, N. F. van Hulst, K. Asakawa, and L. Kuipers, “The effect of higher-order dispersion on slow light propagation in photonic crystal waveguides,” Opt. Express 14(4), 1658–1672 (2006). [CrossRef] [PubMed]

OCIS Codes
(200.4490) Optics in computing : Optical buffers
(130.5296) Integrated optics : Photonic crystal waveguides
(230.5298) Optical devices : Photonic crystals

ToC Category:
Slow and Fast Light

History
Original Manuscript: December 14, 2009
Revised Manuscript: February 3, 2010
Manuscript Accepted: February 3, 2010
Published: March 10, 2010

Citation
Ran Hao, Eric Cassan, Hamza Kurt, Xavier Le Roux, Delphine Marris-Morini, Laurent Vivien, Huaming Wu, Zhiping Zhou, and Xinliang Zhang, "Novel slow light waveguide with controllable delay-bandwidth product and utra-low dispersion," Opt. Express 18, 5942-5950 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-6-5942


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References

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