ANALYSIS OF RACETRACK RESONATOR USING SIGNAL PROCESSING TECHNIQUE

Authors:

Sabitabrata Dey,

DOI NO:

https://doi.org/10.26782/jmcms.2022.02.00001

Keywords:

Racetrack resonator,Mason’s gain formula,free spectral range,Vernier principle,Resonance loss,Group delay,Dispersion,

Abstract

Optical double racetrack resonator (ODRR) and optical quadruple racetrack resonator (OQRR) made of Silicon-on-insulator (SOI) with their effective refractive indices changing with respect to frequency have been analyzed for obtaining optical filter with wider ranges of free spectral range (FSR). FSR expansion is based on the Vernier principle. Delay line signal processing in Z- domain and Mason’s gain formula is being used for analyzing these ODRR and OQRR. A free spectral range of 4.87THz is obtained for the drop port. Further, the change in the dimensions of the racetrack resonators produced an enhanced FSR of 5.77THz for ODRR. Combining both this model of ODRR we obtained an OQRR model that produces FSR as much as 6.86THz. Apart from obtaining wider FSR, this architecture exhibits interstitial spurious transmission of almost -50dB with negligible resonance loss. Group delay, dispersion characteristics, and finesse have also been determined for the architecture.

Refference:

I. A. Wirth L, M.G da Silva, D.M.C Neves, A.S.B Sombra, “Nanophotonicgraphene-basedracetrack- resonatoradd/drop filter”, Optics Communications, 366(2016) 210-220, Elsevier.
II. A. Oppenheim, R. Schafer, “Digital Signal Processing”, 2nd edition Prentice-Hall, IncEnglewood, NJ, 1975.
III. Christi K.Madsen, Jian H Zhao, “Optical filter design and analysis, A signal processing approach”, John Wiley & sons, Inc, New York, 1999.
IV. D. Marcuse, “Bending losses of the asymmetric slab waveguide,” Bell System Tech. J. 50 (8), 2551–2563 (1971).
V. Fengnian Xia, Lidija Sekaric and Yurii A. Vlasov,” Mode conversion losses in silicon-on-insulator photonic wire based racetrack resonators”, 1 May 2006, Vol. 14, No. 9, Optics Express.3872.
VI. H. Liu, C. F. Lam, and C. Johnson, “Scaling Optical Interconnects in Data center Networks Opportunities and Challenges for WDM,” 2010 18th IEEE Symp. High Perf. Interconnects, pp. 113–16.
VII. Intel Silicon Innovation: Fueling New Solutions for the Digital Planet, www.intel.com/technology/silicon.
VIII. J. T. Robinson, L. Chen, and M. Lipson, “On-chip gas detection in silicon optical microcavities,” Opt. Express, vol. 16, pp. 4296–4301, March 2008.
IX. Landobasa Y.M. Tobing, Dumon Pieter, “Fundamental principles of operation and notes on fabrication of photonic microresonators, Photonic Microring Research and Application”, 156, Springer, 2010 chap-1.
X. Otto Schwelb, „Transmission, Group Delay, and Dispersion in Single-Ring Optical Resonators and Add/Drop Filters- A Tutorial Overview‟, IEEE journal of Lightwave technology 22 (5) (2004).
XI. P. W. Coteus J. U. Knickerbocker, C. H. Lam, Y. A. Vlasov, “Technologies for exascale systems”, IBM J. Res. & Dev. Vol. 55 No. 5 Paper 14 September/October 2011.
XII. R. Boeck, W. Shi, L. Chrostowski, N.A.F Jaeger, “FSR-Eliminated Vernier racetrack Resonators using Grating-Assisted Couplers”, IEEE Photonics journal, DOI: 10.1109/JPHOT.2013.2280342, IEEE.
XIII. Robi Boeck, Nicolas A. F. Jaeger, Nicolas Rouger, Lukas Chrostowski “Series-coupled silicon racetrack resonators and the Vernier effect: theory and measurement” Optics Express (2010). OCIS codes: (130.0130) Integrated optics; (130.7408) Wavelength filtering devices; (230.5750) Resonators.
XIV. Robi Boeck, Jonas Flueckiger, Nicolas Rouger, Lukas Chrostowski ” Experimental performance of DWDM quadruple Vernier racetrack resonators ” OSA (2013) OCIS codes (230.7408) Wavelength filtering devices; (230.5750) Resonators.
XV. S.J Mason, “Feedback Properties of Signal Flow Graphs,” Proc. IRE, Vol. 44, no. 7, pp. 920-926, July 1975.
XVI. S. Dey, S. Mandal, “Modeling and analysis of quadruple optical ring resonator performance as optical filter using Vernier principle”, Optics Communications 285 (2012) 439–446.
XVII. Sabitabrata Dey, S.Mandal, “ Wide free-spectral-range triple ring resonator as optical filter,” Optical Engineering, SPIE,Vol. 50(8),pp 084601-(1-9), August, 2011.
XVIII. Yurii A. Vlasov, “Silicon CMOS-Integrated Nano-Photonics for Computer and Data Communications Beyond 100G”, IEEE Communications Magazine, February 2012.

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