Research Article  Open Access
TsairChun Liang, ChunTing Chen, "Design and Analysis of a Novel 25 GHz Interleaver for DWDM Applications with Two Ring Configurations", Mathematical Problems in Engineering, vol. 2015, Article ID 936493, 7 pages, 2015. https://doi.org/10.1155/2015/936493
Design and Analysis of a Novel 25 GHz Interleaver for DWDM Applications with Two Ring Configurations
Abstract
We present a novel scheme of an excellent flattop 25 GHz optical interleaver based on two ring configurations. And the Advanced Systems Analysis Program (ASAP) optical modeling software has been utilized for the interleaver design. The optical path difference for interference and the phase shift are provided by the interferometer with two birefringent crystals and dualring arrangement. The proposed structure exhibits the passband utilization of more than 90% and the channel isolation greater than 95 dB within the Cband. Furthermore, we improve the dispersion performance by employing λ/6 wave plates as birefringent compensators for interleavers. The research results illustrate that our proposed scheme with compensator can improve the dispersion of more than 85.8%. Comparing the performance with the previous studies of optical interleavers with birefringent crystal and ring structure, the proposed system can achieve an excellent 25 GHz multichannel filter for dense wavelength division multiplexing (DWDM) transmission systems.
1. Introduction
Due to the growing demand for network communications capacity, dense wavelength division multiplexing (DWDM) [1, 2] has emerged as vital component for optical fiber networks. Several techniques for flexibility in alloptics dynamic networks have been engaged in DWDM systems [3, 4]. And how to increase the number of channels is an important issue [5]. A spectral interleaver is capable of separating a set of channels into two sets twice the channel spacing. An optical interleaver has been verified as an effective technique in increasing channel counts by doubling or quadrupling the number of optical channels when the channel spacing is in the range of 0.2 nm [6–8].
Conventional interleavers are based on interferometers that employ GiresTournois etalons (GTEs) as a phasedispersion element [9, 10]. These interferometers employ a polarization beam splitter (PBS) to split the input signal into two beams and then recombine them at the beam splitter by using two GTEs to provide the redirection path; these interferometers can be Michelson interferometers or MachZehnder interferometers. When a path length difference exists between the two interfering beams, these conventional interleavers provide a squarelike spectrum transmission function. However, in conventional etalons involving thin film coatings, the performance is often optimized in a small spectral region within the Cband. They cannot carry on the entire Cband.
To provide a uniform performance over the entire Cband, the partial reflecting mirrors of the optical resonator must maintain constant reflectivity over the entire Cband. Such requirements are difficult to achieve by using conventional thinfilm coating technology. In this research, the Advanced Systems Analysis Program (ASAP) [11] optical modeling software has been utilized for the interleaver design. The ASAP model is configured based on the actual component parameters that compared with the actual size is 1 : 1. The greatest shortcoming of conventional interleavers is an inferior dispersion. In this study, we propose a new scheme of birefringent optical interleaver employing dualring structures including the quarterwave plates, trapezoid prisms, and the wave plates to improve the dispersion.
The next section presents the design procedures of a high performance interleaver using quarterwave plates and polarization optics. Then the design of an improved structure of interleaver is illustrated. We can get a very good dispersion improvement to employ this proposed configuration. The simulation result is performed to evaluate the performance of this design method in Section 3. Finally, we conclude this paper in Section 4.
2. The Proposed Interleaver Based on Two Ring Configurations
Figure 1 shows the schematic configuration (noncompensation) of the dualring structure based birefringent optical interleaver consisting of two birefringent crystals (the length of YVO_{4} is 30 mm), two trapezoid prisms (transmission rate is 91.4% and refraction index is 1.6), a polarization beam splitter (PBS), two wave plates, and four highly reflective mirrors (reflectivity is 99.8%). A beam of unpolarized light is transmitting through the PBS, and then the beams are directed toward the YVO_{4} birefringent crystal and the quarterwave plate (λ/4 @ 45°). The YVO_{4} birefringent crystal is used for appropriate retardance of interference. The quarterwave plate is employed to rotate the polarization states of these two beams by 45 degrees. As a result, the beams inside the birefringent crystals consist of both ordinary and extraordinary waves, but with equal amplitudes. While the beams propagate inside the birefringent crystals, a phase retardation exists between these two waves at the end of the crystals. These beams, consisting of both ordinary and extraordinary waves, are then directed toward the ring structure, as shown in Figure 1.
In both birefringent crystals (see Figure 1), the ordinary wave corresponds to the swave while the extraordinary one corresponds to the pwave. The trapezoid prism interface of the ring structure exhibits different Fresnel reflectivities for these two polarization components (s and p) of the beam. As a result of these different reflectivities, the two polarization components experience further phase retardation by the quarterwave plate (λ/4 @ 45°) after the birefringent crystal and different phase shifts upon transmitting (or reflecting) through the ring arrangement. Before both components of the beam are mixed and recombined by the PBS, a phase retardation by the birefringent crystal reoccurs again. The birefringent crystal (YVO_{4}) acts as an interferometer, and the ring structure is configured by a prism and two mirrors (with air in the resonator). The ring configuration, acting as a GiresTounois Etalon, is formed by the mirrors M_{1}, M_{2} and M_{3}, M_{4} and the prismair interface which are aligned perpendicularwise to the light beams.
The prism is cut in a trapezoidshape to provide the appropriate angle of incidence so that the desired Fresnel reflectivities, and , are obtained and and are the reflectivity of the airprism interface for the component (extraordinary beam) and component (ordinary beam). The normalized intensity of one of the output ports can be expressed as follows [13–15]:where is the intensity of the unpolarized incident beam and is the length of the two birefringent crystals, and are the phase shifts of the beam upon reflection from the ring structure, and is the refractive index difference of and . The channel isolation of the interleaver with the dualring structure is near 95 dB, and the calculated results of the stopband and channel isolation of a 25 GHz channel spacing application, odd channels and even channels of partial Cband, are shown in Figures 2(a) and 2(b), respectively. In Figure 2, the 25 dB stopband was found to be 0.173 nm (21.625 GHz) and a 0.5 dB wide passband of 0.156 nm (19.5 GHz); hence, we can reach the passband utilization of 90.17% (=0.156 nm/0.173 nm × 100%). And the channel isolation of the interleaver is greater than 95 dB. The higher passband utilization means that the output was closer to square wave results. The more close to a square wave output, the better the performance of interleaver. These results clearly indicate that an interleaver with a ring structure can provide a wide 0.5 dB passband and a good 25 dB stopband.
(a)
(b)
3. Optimal Design of Improved Dispersion Interleaver by Compensators
Chromatic dispersion compensation is the most deserving progress in this study. This interleaver with improved dispersion compensation is shown in Figure 3. The polarization azimuth angle of the birefringent crystal [16–19] is obtained by employing wave plates (λ/4 @ 45°) and λ/6 wave plates (λ/6 @ 30°). The phase shifts of wave plates and wave plates can be expressed as (2) and (3), respectively:where and are the roundtrip phase shift inside the ring structure of wave plates and wave plates, respectively. is the coordinate rotation matrix and is the Jones matrix depending on the retarder plates.
The output group delay after compensation can be viewed as the average group delay from two modes, , where is the optical angular frequency and can be demonstrated as In (4), is the roundtrip optical path of the ring structure, is the roundtrip time, and . Both and are the transmission matrixes of wave plates and wave plates, respectively. After the dispersion is compensated, the configuration as shown in Figure 3, the group velocity dispersion (GVD) is given by [ps/nm] and can be expressed as follows:
Figure 4 shows the path of the ring cavity which is configured by a trapezoid prism and two mirrors. The incident light hits trapezoid prism at a perpendicular angle and total reflects by the second surface, and finally transmits through the first surface of prism perpendicular again. In Figure 4, and are the incident and transmitted angles at third surface, and and are the reflective indices of prism and air, respectively. At the prismair surface, the different Fresnel reflectivities for ordinary wave and extraordinary wave (s and ppolarization components) can be presented by [6]
According to (1) and (5), calculated by the simulation software ASAP, we can get normalized intensity of the output channels and their chromatic dispersion. In this study, the optimum incident angle is about 34.5°. At this angle of incidence, the reflectivities of the flattop bandwidth interleaver are about % and %. And the ripple of output power intensity of the 25 GHz channel spacing is dB (see Figure 5). Figure 6 shows that the dispersion comparison of a 25 GHz channel spacing of partial Cband with and withoutcompensation. The research results illustrate that our modified scheme can improve the dispersion of more than 85.8% (=(1524.3–215.93)/1524.3). The effect of improved dispersion of a 25 GHz interleaver can be observed, as shown in Figure 7. The optical intensities of withoutcompensating and withcompensating schemes are 0.546 a.u. and 0.936 a.u., respectively. The eye diagrams for 10 Gb/s application of withcompensation and withoutcompensation by pseudorandom binary sequence (PRBS) (2^{31}1) have been measured, as shown in Figure 8. The research results are compared with other related issues such as a ringcavity architecture system [6, 12] and using GiresTournois etalons as phase dispersive mirrors in a Michelson interferometer system [9] (see Table 1).

(a)
(b)
4. Conclusions
We have analyzed a flattop 25 GHz optical interleaver based on a dualring architecture with fewer components. Compared to previous studies, our interleaver exhibited a 0.5 dB passband larger than 0.156 nm (19.5 GHz), a 25 dB stopband greater than 0.173 nm (21.625 GHz), a channel isolation greater than 95 dB, and an excellent flattop ripple, which is smaller than dB. The benefit of this interleaver is that it utilizes the Fresnel principle to achieve precise reflectivity. Unlike dielectric mirrors with thinfilm coatings, the reflectivities of the Fresnel reflection are insensitive to wavelength variations in the transmission band. Uniform reflectivities are essential to ensure the same performance over the entire Cband. In particular, the novel interleaver can simultaneously produce an excellent performance of chromatic dispersion which can achieve an improvement of 85.8% when we modify the interleavers structure by wave plates. This unique interleaver is suitable for capacity upgrade in DWDM and FTTx applications.
Conflict of Interests
The authors declare that there is no conflict of interests regarding the publication of this paper.
Acknowledgment
The authors would like to gratefully acknowledge the Ministry of Science and Technology of Taiwan for their funding support under MOST 1032622E327007CC3.
References
 T. Liang and S. Hsu, “The Lband EDFA of high clamped gain and low noise figure implemented using fiber Bragg grating and doublepass method,” Optics Communications, vol. 281, no. 5, pp. 1134–1139, 2008. View at: Publisher Site  Google Scholar
 S. V. Kartalopoulos, Introduction to DWDM Technology: Data in a Rainbow, chapter 1, IEEE Press, New York, NY, USA, 2000.
 T. C. Liang, C. M. Tsai, and B. C. Wu, “A wavelength routing device by using cyclic AWGs and tunable FBGs,” Optical Fiber Technology, vol. 19, no. 3, pp. 189–193, 2013. View at: Publisher Site  Google Scholar
 R. Saunders, “Coherent DWDM technology for high speed optical communications,” Optical Fiber Technology, vol. 17, no. 5, pp. 445–451, 2011. View at: Publisher Site  Google Scholar
 R. Casellas, R. Muñoz, J. M. Fàbrega et al., “GMPLS/PCE control of flexigrid DWDM optical networks using COOFDM transmission,” Journal of Optical Communications and Networking, vol. 4, no. 11, Article ID 6360163, pp. B1–B10, 2012. View at: Publisher Site  Google Scholar
 C. W. Lee, R. Wang, P. Yeh, and W. H. Cheng, “A flattop birefringent interleaver based on ringcavity architecture,” Optics Communications, vol. 260, no. 1, pp. 311–317, 2006. View at: Publisher Site  Google Scholar
 A. Zeng, X.G. Ye, J. Chon, and F. Liang, “25 GHz interleavers with ultralow chromatic dispersion,” in Proceedings of the Optical Fiber Communication Conference and Exhibit (OFC ’02), pp. 396–398, March 2002. View at: Publisher Site  Google Scholar
 T. C. Liang and C. T. Chen, “Investigation of dispersion and performance based on ring cavity by birefringent interleaver for DWDM transmission systems,” Mathematical Problems in Engineering, vol. 2013, Article ID 740412, 5 pages, 2013. View at: Publisher Site  Google Scholar
 C. Hsieh, R. Wang, Z. J. Wen et al., “Flattop interleavers using two GiresTournois etalons as phasedispersive mirrors in a Michelson interferometer,” IEEE Photonics Technology Letters, vol. 15, no. 2, pp. 242–244, 2003. View at: Publisher Site  Google Scholar
 J. Zhang and X. Yang, “Universal Michelson GiresTournois interferometer optical interleaver based on digital signal processing,” Optics Express, vol. 18, no. 5, pp. 5075–5088, 2010. View at: Publisher Site  Google Scholar
 ASAP (Advanced Systems Analysis Program), Breault Research Organization Inc, Tucson, Ariz, USA.
 C. Lee, R. Wang, P. Yeh, and W. Cheng, “Sagnac interferometer based flattop birefringent interleaver,” Optics Express, vol. 14, no. 11, pp. 4636–4643, 2006. View at: Publisher Site  Google Scholar
 P. Yeh, Optical Waves in Layered Media, John Wiley & Sons, New York, NY, USA, 1998.
 S. Cao, J. Chen, J. N. Damask et al., “Interleaver technology: comparisons and applications requirements,” Journal of Lightwave Technology, vol. 22, no. 1, pp. 281–289, 2004. View at: Publisher Site  Google Scholar
 B. B. Dingel and M. Izutsu, “Multifunction optical filter with a MichelsonGiresTournois interferometer for wavelengthdivisionmultiplexed network system applications,” Optics Letters, vol. 23, no. 14, pp. 1099–1101, 1998. View at: Publisher Site  Google Scholar
 L. Wei and J. W. Y. Lit, “Design optimization of flattop interleaver and its dispersion compensation,” Optics Express, vol. 15, no. 10, pp. 6439–6457, 2007. View at: Publisher Site  Google Scholar
 J. Zhang, L. Lin, and Y. Zhou, “Novel and simple approach for designing latticeform interleaver filter,” Optics Express, vol. 11, no. 18, pp. 2217–2224, 2003. View at: Publisher Site  Google Scholar
 M. Oguma, T. Kitoh, Y. Inoue et al., “Compact and lowloss interleave filter employing latticeform structure and silicabased waveguide,” Journal of Lightwave Technology, vol. 22, no. 3, pp. 895–902, 2004. View at: Publisher Site  Google Scholar
 K. Jinguji and M. Oguma, “Optical halfband filters,” Journal of Lightwave Technology, vol. 18, no. 2, pp. 252–259, 2000. View at: Publisher Site  Google Scholar
Copyright
Copyright © 2015 TsairChun Liang and ChunTing Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.