DOI QR코드

DOI QR Code

The Effects of Various Apodization Functions on the Filtering Characteristics of the Grating-Assisted SOI Strip Waveguides

  • Karimi, Azadeh (Optoelectronic Research Center, Faculty of Electrical Engineering, Shiraz University of Technology) ;
  • Emami, Farzin (Optoelectronic Research Center, Faculty of Electrical Engineering, Shiraz University of Technology) ;
  • Nozhat, Najmeh (Optoelectronic Research Center, Faculty of Electrical Engineering, Shiraz University of Technology)
  • 투고 : 2013.10.23
  • 심사 : 2014.02.24
  • 발행 : 2014.04.25

초록

In this paper, four apodization functions are proposed for silicon-on-insulator (SOI) strip waveguides with sidewall-corrugated gratings. The effects of apodization functions on the full width at half maximum (FWHM), the side-lobe level, and the reflectivity of the reflection spectrum are studied using the coupled-mode theory (CMT) and the transfer-matrix method (TMM). The results show that applying proposed apodization functions creates very good filtering characteristics. Among investigated apodized waveguides, the apodization functions of Polynomial and z-power have the best performance in reducing side-lobes, where the side-lobe oscillations are entirely removed. Four functions are also used for precise adjustment of the bandwidth. Simulation results show that the minimum and maximum values of the FWHM are 0.74 nm and 8.48 nm respectively. In some investigated functions, changing the apodization parameters decreases the reflectivity which is compensated by increasing the grating length.

키워드

참고문헌

  1. P. Prabhathan, V. Murukeshan, Z. Jing, and P. V. Ramana, "Compact SOI nanowire refractive index sensor using phase shifted Bragg grating," Opt. Express 17, 15330-15341 (2009). https://doi.org/10.1364/OE.17.015330
  2. L. Vivien, D. Pascal, S. Lardenois, D. Marris-Morini, E. Cassan, F. Grillot, S. Laval, J.-M. Fedeli, and L. El Melhaoui, "Light injection in SOI microwaveguides using high-efficiency grating couplers," J. Lightwave Technol. 24, 3810-3815 (2006). https://doi.org/10.1109/JLT.2006.878060
  3. O. Ozolins and G. Ivanovs, "Realization of optimal FBG band-pass filters for high speed HDWDM," Lithuanian J. Electron. Elec. Eng. 4, 41-44 (2009).
  4. C. Riziotis and M. N. Zervas, "Novel full-cycle-couplerbased optical add-drop multiplexer and performance characteristics at 40-Gb/s WDM networks," J. Lightwave Technol. 21, 1828-1837 (2003). https://doi.org/10.1109/JLT.2003.815501
  5. W. Shi, X. Wang, W. Zhang, L. Chrostowski, and N. A. F. Jaeger, "Contradirectional couplers in silicon-on-insulator rib waveguides," Opt. Lett. 36, 3999-4001 (2011). https://doi.org/10.1364/OL.36.003999
  6. J. T. Hastings, M. H. Lim, J. G. Goodberlet, and H. I. Smith, "Optical waveguides with apodized sidewall gratings via spatial-phase-locked electron-beam lithography," J. Vac. Sci. Technol. B 20, 2753-2757 (2002). https://doi.org/10.1116/1.1521744
  7. W. Shi, X. Wang, C. Lin, H. Yun, Y. Liu, T. Baehr-Jones, M. Hochberg, N. A. F. Jaeger, and L. Chrostowski, "Silicon photonic grating-assisted, contra-directional couplers," Opt. Express 21, 3633-3650 (2013). https://doi.org/10.1364/OE.21.003633
  8. T. E. Murphy, J. T. Hastings, and H. I. Smith, "Fabrication and characterization of narrow-band Bragg-reflection filters in silicon-on-insulator ridge waveguides," J. Lightwave Technol. 19, 1938-1942 (2001). https://doi.org/10.1109/50.971688
  9. X. Wang, W. Shi, R. Vafaei, N. A. F. Jaeger, and L. Chrostowski, "Uniform and sampled Bragg gratings in SOI strip waveguides with sidewall corrugations," IEEE Photon. Technol. Lett. 23, 290-292 (2011).
  10. X. Wang, W. Shi, H. Yun, S. Grist, N. A. F. Jaeger, and L. Chrostowski, "Narrow-band waveguide Bragg gratings on SOI wafers with CMOS-compatible fabrication process," Opt. Express 20, 15547-15558 (2012). https://doi.org/10.1364/OE.20.015547
  11. X. Wang, W. Shi, R. Vafaei, N. A. F Jaeger, and L. Chrostowski, "Silicon-on-insulator Bragg gratings fabricated by deep UV lithography," in Proc. ACP (Shanghai, China, Dec. 2010), pp. 501-502.
  12. D. T. H. Tan, K. Ikeda, S. Zamek, A. Mizrahi, M. P. Nezhad, A. V. Krishnamoorthy, K. Raj, J. E. Cunningham, X. Zheng, I. Shubin, Y. Luo, and Y. Fainman, "Wide bandwidth, low loss 1 by 4 wavelength division multiplexer on silicon for optical interconnects," Opt. Express 19, 2401-2409 (2011). https://doi.org/10.1364/OE.19.002401
  13. D. Taillaert, P. Bienstman, and R. Baets, "Compact efficient broadband grating coupler for silicon-on-insulator waveguides," Opt. Lett. 29, 2749-2751 (2004). https://doi.org/10.1364/OL.29.002749
  14. M. P. Bulk, A. P. Knights, P. E. Jessop, P. Waugh, R. Loiacono, G. Z. Mashanovich, G. T. Reed, and R. M. Gwilliam, "Optical filters utilizing ion implanted Bragg gratings in SOI waveguides," Adv. Opt. Technol. 1, 1-6 (2008).
  15. S. Honda, Z. Wu, J. Matsui, K. Utaka, T. Edura, M. Tokuda, K. Tsutsui, and Y. Wada, "Largely-tunable wideband Bragg gratings fabricated on SOI rib waveguides employed by deep-RIE," Electron. Lett. 43, 630-631 (2007). https://doi.org/10.1049/el:20070884
  16. D. Wiesmann, C. David, R. Germann, D. Emi, and G. Bona, "Apodized surface-corrugated gratings with varying duty cycles," IEEE Photon. Technol. Lett. 12, 639-641 (2000). https://doi.org/10.1109/68.849069
  17. J. He, X. Sun, and M. Zhang, "A novel add/drop multiplexer architecture for DWDM network," J. Infrared and Millimeter Waves 21, 57-62 (2000). https://doi.org/10.1023/A:1006690820387
  18. P. De Heyn, S. Verstuyft, S. Keyvaninia, A. Trita, and D. Van Thourhout, "Tunable 4-channel ultra-dense WDM demultiplexer with III-V photodiodes integrated on silicon-oninsulator," in Proc. ACP (Guangzhou, China, Nov. 2012), pp. 1-3, ATh2B.
  19. J. P. Weber, "Spectral characteristics of coupled-waveguide Bragg-reflection tunable optical filter," Optoelectronics, IEE Proceedings J. 140, 275-284 (1993). https://doi.org/10.1049/ip-j.1993.0045
  20. Ch. Riziotis and M. N. Zervas, "Design considerations in optical add/drop multiplexers based on grating-assisted null couplers," J. Lightwave Technol. 19, 92-104 (2001). https://doi.org/10.1109/50.914490
  21. G. J. Liu, Q. Li, G. L. Jin, and B. M. Liang, "Transfer matrix method analysis of apodized grating couplers," Opt. Commun. 235, 319-324 (2004). https://doi.org/10.1016/j.optcom.2004.03.002

피인용 문헌

  1. Comparative Study of Uniform and Nonuniform Grating Couplers for Optimized Fiber Coupling to Silicon Waveguides vol.20, pp.2, 2016, https://doi.org/10.3807/JOSK.2016.20.2.291
  2. Study of an optical device based on a quasi-phase-matching method for speckle noise reduction for laser display vol.69, pp.5, 2016, https://doi.org/10.3938/jkps.69.756