Triple Micro Optical Multiple Asymmetric Ring Resonator Performance Analysis as Optical Filter

Abstract

This paper implements the modeling of triple asymmetrical optical microring resonator in z-domain, and the waveguide spacing is designed using finite difference time domain(FDTD) method. The formulation of the transmission function is prepared in z-domain utilizing the delay line signal processing technique. The developed configuration is scrutinized by evaluating the frequency response analysis as well as various important characteristics that are dispersion, group delay, and finesse using MATLAB software. The efficacy of the proposed methodology is tested using OptiFDTD software, and it is found that the results of both MATLAB and OptiFDTD are in very nearby settlement. The field analysis of propagated wave inside the microring resonator is shown. The specific gap for various optical directional couplers is also determined using OptiFDTD in this paper. The proposed technique is very useful for modeling and analyzing different configurations of micro optical asymmetric ring resonator which found great application in the field of optical filters as well as optical sensors.

Keywords

delay line / FDTD method / microring resonators / directional coupler

Acknowledgments

The authors are very grateful to Director BIT Sindri, Jharkhand (Prof. Pankaj Rai) for his continuous support and motivation during entire period of this research.

Ethical Statement

This study does not contain any studies with human or animal subjects performed by any of the authors.

Conflicts of Interest

The authors declare that they have no conflicts of interest to this work.

Data Availability Statement

Data sharing is not applicable to this article as no new data were created or analyzed in this study.

Author Contribution Statement

Shree Krishna Marandi: Methodology, Software, Validation, Resources, Data curation. Kumari Sarwagya: Formal analysis, Investigation, Visualization, Project administration. Suman Ranjan: Conceptualization, Writing – original draft, Writing – review & editing, Supervision.

References

[1] Oda, K., Takato, N., & Toba, H. (1991). A wide-FSR waveguide double-ring resonator for optical FDM transmission systems. Journal of Lightwave Technology, 9(6), 728-736. https://doi.org/10.1109/50.81975

[2] Ciminelli, C., Dell’Olio, F., Conteduca, D., Campanella, C. M., & Armenise, M. N. (2014). High performance SOI microring resonator for biochemical sensing. Optics & Laser Technology, 59, 60-67. https://doi.org/10.1016/j.optlastec.2013.12.011

[3] Zangeneh-Nejad, F., & Safian, R. (2016). A graphene-based THz ring resonator for label-free sensing. IEEE Sensors Journal, 16(11), 4338-4344. https://doi.org/10.1109/JSEN.2016.2548784

[4] Parimal, & Mandal, S. (2023). Design of an optical test bench (OTB) for an N-bit optical multiplier, optical convolution, and optical correlation circuit using an optical microring resonator in the Z-domain. Optical and Quantum Electronics, 55(9), 844. https://doi.org/10.1007/s11082-023-04985-5

[5] Kisku, S., Sarwagya, K., & Ranjan, S. (2023). Performance investigation of triple unsymmetrical micro ring resonator as optical filter as well as biosensor. Optical and Quantum Electronics, 55(2), 164. https://doi.org/10.1007/s11082-022-04443-8

[6] Garus, D., Hereth, R., & Schliep, F. (1994). Design considerations for Brillouin-Ringlaser gyroscopes. In Conference Proceedings Symposium on Gyro Technology, 2, 2.

[7] Kalli, K., & Jackson, D. A. (1992). Ring resonator optical spectrum analyzer with 20-kHz resolution. Optics Letters, 17(15), 1090-1092. https://doi.org/10.1364/OL.17.001090

[8] Suzuki, S., Oda, K., & Hibino, Y. (1995). Integrated-optic double-ring resonators with a wide free spectral range of 100 GHz. Journal of Lightwave Technology, 13(8), 1766-1771. https://doi.org/10.1109/50.405322

[9] Moslehi, B., Goodman, J. W., Tur, M., & Shaw, H. J. (1984). Fiber-optic lattice signal processing. Proceedings of the IEEE, 72(7), 909-930. https://doi.org/10.1109/PROC.1984.12948

[10] Jackson, K. P., Newton, S. A., Moslehi, B., Tur, M., Cutler, C. C., Goodman, J. W., & Shaw, H. J. (1985). Optical fiber delay-line signal processing. IEEE Transactions on Microwave Theory and Techniques, 33(3), 193-210. https://doi.org/10.1109/TMTT.1985.1132981

[11] Mason, S. J. (1956). Feedback theory - Further properties of signal flow graphs. Proceedings of the IRE, 44(7), 920-926. https://doi.org/10.1109/JRPROC.1956.275147

[12] Yanagase, Y., Suzuki, S., Kokubun, Y., & Chu, S. T. (2002). Box-like filter response and expansion of FSR by a vertically triple coupled microring resonator filter. Journal of Lightwave Technology, 20(8), 1525-1529. https://doi.org/10.1109/JLT.2002.800296

[13] Kokubun, Y., Hatakeyama, Y., Ogata, M., Suzuki, S., & Zaizen, N. (2005). Fabrication technologies for vertically coupled microring resonator with multilevel crossing busline and ultracompact-ring radius. IEEE Journal of Selected Topics in Quantum Electronics, 11(1), 4-10. https://doi.org/10.1109/JSTQE.2004.841720

[14] Yan, H., Feng, X., Zhang, D., & Huang, Y. (2013). Integrated optical add-drop multiplexer based on a compact parent-sub microring-resonator structure. Optics Communications, 289, 53-59. https://doi.org/10.1016/j.optcom.2012.09.059

[15] Deng, L., Guo, X., Meng, Y., Zhao, T., Liu, Z., Xiao, H., ..., & Yang, J. (2018). Demonstration of a microfiber-based add-drop filter using one tapered fiber. IEEE Photonics Journal, 10(1), 1-6.

[16] Ahmed, R., Rifat, A. A., Yetisen, A. K., Salem, M. S., Yun, S. H., & Butt, H. (2016). Optical microring resonator based corrosion sensing. RSC Advances, 6(61), 56127-56133. https://doi.org/10.1039/C6RA11538A

[17] Saeung, P., & Yupapin, P. P. (2008). Generalized analysis of multiple ring resonator filters: Modeling by using graphical approach. Optik, 119(10), 465-472. https://doi.org/10.1016/j.ijleo.2006.12.017

[18] Madsen, C. K., & Zhao, J. H. (1999). Multi-stage AR architectures. In K. Chang, C. K. Madsen & J. H. Zhao (Eds.), Optical filter design and analysis: A signal processing approach (pp. 237-303). Wiley. https://doi.org/10.1002/0471213756.ch5

[19] Boeck, R., Shi, W., Chrostowski, L., & Jaeger, N. A. F. (2013). FSR-eliminated Vernier racetrack resonators using grating-assisted couplers. IEEE Photonics Journal, 5(5), 2202511. https://doi.org/10.1109/JPHOT.2013.2280342

[20] Rabus, D. G. (2007). Integrated ring resonators: The Compendium. Germany: Springer.

[21] Nagrath, I. J. (2006). Control systems engineering. India: New Age International Publishers.

[22] Tavousi, A., Rakhshani, M. R., & Mansouri-Birjandi, M. A. (2018). High sensitivity label-free refractometer based biosensor applicable to glycated hemoglobin detection in human blood using all-circular photonic crystal ring resonators. Optics Communications, 429, 166-174. https://doi.org/10.1016/j.optcom.2018.08.019

[23] Ranjan, S., & Mandal, S. (2018). Performance analysis of triple asymmetrical optical multiple ring resonator with a 1 × 3 input-output waveguide for application as an optical filter. Applied Optics, 57(9), 2040-2049. https://doi.org/10.1364/AO.57.002040

[24] Gad, M., Ackert, J., Yevick, D., Chrostowski, L., & Jessop, P. (2011). Ring resonator wavelength division multiplexing interleaver. Journal of Lightwave Technology, 29(14), 2102-2109. https://doi.org/10.1109/JLT.2011.2157081

[25] Ranjan, S., Sarwagya, K., Mandal, S., & Rai, P. (2021). Modelling and analysis of quadruple asymmetrical optical micro-ring resonator for biosensing application. IEEE Sensors Journal, 21(18), 19904-19911. https://doi.org/10.1109/JSEN.2021.3096427

[26] Kajfez, D., Chebolu, S., Abdul-Gaffoor, M. R., & Kishk, A. A. (1999). Uncertainty analysis of the transmission-type measurement of Q-factor. IEEE Transactions on Microwave Theory and Techniques, 47(3), 367-371. https://doi.org/10.1109/22.750244

[27] Menon, V. M., Tong, W., & Forrest, S. R. (2004). Control of quality factor and critical coupling in microring resonators through integration of a semiconductor optical amplifier. IEEE Photonics Technology Letters, 16(5), 1343-1345. https://doi.org/10.1109/LPT.2004.826094

[28] Yee, K. (1966). Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media. IEEE Transactions on Antennas and Propagation, 14(3), 302-307. https://doi.org/10.1109/TAP.1966.1138693

[29] Kedia, J., & Gupta, N. (2015). An FDTD analysis of serially coupled double ring resonator for DWDM. Optik, 126(24), 5641-5644. https://doi.org/10.1016/j.ijleo.2015.09.031

[30] Sun, L., Yuan, J., Ma, T., Sang, X., Yan, B., Wang, K., & Yu, C. (2017). Design and optimization of silicon concentric dual-microring resonators for refractive index sensing. Optics Communications, 395, 212-216. https://doi.org/10.1016/j.optcom.2016.05.052