Butterfly-like phase shift: a novel gauge for critical coupling of add–drop resonator
Tóm tắt
Optical transfer function for add–drop resonator is derived in the presence of coupling loss using the scattering matrix method. A critical coupling condition for ADR is calculated. The response of the ADR under variation of coupling losses and coupling coefficients is studied. The number of allowed states under the critical condition is determined. The full width at half maximum as sharp as 0.17 nm is achieved. It is found that the relative phase shifts of through and drop ports show the same responses under the critical coupling condition. This response emerges in a butterfly-like phase shift, which can be considered as a new evaluating factor for checking the system in critical coupling condition.
Tài liệu tham khảo
Nawi, I., Bahadoran, M., Ali, J., Yupapin, P.: A theoretical model of all-optical switching induced by a soliton pulse in nano-waveguide ring resonator. J. Phys. Conf. Ser. 431, 012029 (2013)
Stern, L., Zektzer, R., Mazurski, N., Levy, U.: Enhanced light-vapor interactions and all optical switching in a chip scale micro-ring resonator coupled with atomic vapor. Laser Photonics Rev. 10, 1016–1022 (2016)
Bahadoran, M., Noorden, A.F.A., Mohajer, F.S., Abd Mubin, M.H., Chaudhary, K., Jalil, M.A., Ali, J., Yupapin, P.: Detection of Salmonella bacterium in drinking water using microring resonator. Artif. Cells Nanomed. Biotechnol. 44, 315–321 (2016)
Wu, T., Liu, Y., Yu, Z., Peng, Y., Shu, C., Ye, H.: The sensing characteristics of plasmonic waveguide with a ring resonator. Opt. Express 22, 7669–7677 (2014)
Amiri, I.S., Alavi, S.E., Idrus, S., Afroozeh, A., Ali, J.: Soliton Generation by Ring Resonator for Optical Communication Application, vol. 11788. Nova Science Publishers, Hauppauge (2014)
Rafizadeh, D., Zhang, J., Hagness, S., Taflove, A., Stair, K., Ho, S., Tiberio, R.: Waveguide-coupled AlGaAs/GaAs microcavity ring and disk resonators with high finesse and 21.6-nm free spectral range. Opt. Lett. 22, 1244–1246 (1997)
Wang, X., Wang, P., Chen, C., Chen, J., Lu, Y., Ming, H., Zhan, Q.: Plasmonic racetrack resonator with high extinction ratio under critical coupling condition. J. Appl. Phys. 107, 124517 (2010)
Mansoor, R.D., Sasse, H., Al Asadi, M., Ison, S.J., Duffy, A.P.: Over coupled ring resonator-based add/drop filters. IEEE J. Quantum Electron. 50, 598–604 (2014)
Romero-García, S., Moscoso-Mártir, A., Müller, J., Shen, B., Merget, F., Witzens, J.: Wideband multi-stage CROW filters with relaxed fabrication tolerances. Opt. Express 26, 4723–4737 (2018)
Mansoor, R.D., Sasse, H., Al-Asadi, M., Ison, S.J., Duffy, A.P.: Estimation of the bandwidth of acceptable crosstalk of parallel coupled ring resonator add/drop filters. IEEE Trans. Electromagn. Compat. 57, 1005–1012 (2015)
Yupapin, P., Saeung, P., Li, C.: Characteristics of complementary ring-resonator add/drop filters modeling by using graphical approach. Opt. Commun. 272, 81–86 (2007)
Vorckel, A., Monster, M., Henschel, W., Bolivar, P.H., Kurz, H.: Asymmetrically coupled silicon-on-insulator microring resonators for compact add-drop multiplexers. IEEE Photonics Technol. Lett. 15, 921–923 (2003)
Yariv, A.: Universal relations for coupling of optical power between microresonators and dielectric waveguides. Electron. Lett. 36, 321–322 (2000)
Zhang, W., Serna, S., Le Roux, X., Vivien, L., Cassan, E.: Highly sensitive refractive index sensing by fast detuning the critical coupling condition of slot waveguide ring resonators. Opt. Lett. 41, 532–535 (2016)
Chandran, S., Gupta, R.K., Das, B.K.: Dispersion enhanced critically coupled ring resonator for wide range refractive index sensing. IEEE J. Sel. Top. Quantum Electron. 23, 424–432 (2017)
Palací, J., Villanueva, G.E., Galán, J.V., Martí, J., Vidal, B.: Single bandpass photonic microwave filter based on a notch ring resonator. IEEE Photonics Technol. Lett. 22, 1276–1278 (2010)
Absil, P., Hryniewicz, J., Little, B., Wilson, R., Joneckis, L., Ho, P.-T.: Compact microring notch filters. IEEE Photonics Technol. Lett. 12, 398–400 (2000)
Dey, S., Mandal, S.: Modeling and analysis of quadruple optical ring resonator performance as optical filter using Vernier principle. Opt. Commun. 285, 439–446 (2012)
Mandal, S., Dasgupta, K., Basak, T., Ghosh, S.: A generalized approach for modeling and analysis of ring-resonator performance as optical filter. Opt. Commun. 264, 97–104 (2006)
Bahadoran, M., Noorden, A.F.A., Chaudhary, K., Aziz, M.S., Ali, J., Yupapin, P.: Nano force sensing using symmetric double stage micro resonator. Measurement 58, 215–220 (2014)
Poon, J., Scheuer, J., Mookherjea, S., Paloczi, G., Huang, Y., Yariv, A.: Matrix analysis of microring coupled-resonator optical waveguides. Opt. Express 12, 90–103 (2004)
Bahadoran, M., Noorden, A.F.A., Chaudhary, K., Mohajer, F.S., Aziz, M.S., Hashim, S., Ali, J., Yupapin, P.: Modeling and analysis of a microresonating biosensor for detection of Salmonella bacteria in human blood. Sensors 14, 12885–12899 (2014)
Bahadoran, M., Aziz, M., Noorden, A., Jalil, M., Ali, J., Yupapin, P.: Novel approach to determine the young’s modulus in silicon-on-insulator waveguide using microring resonator. Digest J. Nanomater. Biostruct. 9, 1095–1104 (2014)
Bahadoran, M., Ali, J., Yupapin, P.P.: Ultrafast all-optical switching using signal flow graph for PANDA resonator. Appl. Opt. 52, 2866–2873 (2013)
Bahadoran, M., Afroozeh, A., Ali, J., Yupapin, P.P.: Slow light generation using microring resonators for optical buffer application. Opt. Eng. 51, 044601-1–044601-8 (2012)
Bahadoran, M., Ali, J., Yupapin, P.P.: Graphical approach for nonlinear optical switching by PANDA vernier filter. IEEE Photonics Technol. Lett. 25, 1470–1473 (2013)
Aziz, M., Daud, S., Bahadoran, M., Ali, J., Yupapin, P.P.: Light pulse in a modified add-drop optical filter for optical tweezers generation. J. Nonlinear Opt. Phys. Mater. 21, 1250047 (2012)
Noorden, A.F.A., Chaudhary, K., Bahadoran, M., Aziz, M.S., Jalil, M.A., Tiong, O.C., Ali, J., Yupapin, P.: Rabi oscillation generation in the microring resonator system with double-series ring resonators. Optoelectron. Lett. 11, 342–347 (2015)
Rabus, D.G.: Ring resonators: theory and modeling. In: Integrated Ring Resonators: The Compendium, pp. 1–15. Springer, Berlin (2007).
Noordena, A.F.A., Bahadorana, M., Chaudharya, K., Aziza, M.S., Jalilb, M.A., Alia, J., Yupapin, P.: Optical bistability in all-pass Mobius configuration microring resonator. J. Teknol. 76, 101–108 (2015)
Heebner, J.E., Wong, V., Schweinsberg, A., Boyd, R.W., Jackson, D.J.: Optical transmission characteristics of fiber ring resonators. IEEE J. Quantum Electron. 40, 726–730 (2004)
Herbert Gross, B.D., Muller, H.: Handbook of Optical Systems, vol. 5. Wiley, London (2012)
Vorckel, A., Monster, M., Henschel, W., Bolivar, P.H., Kurz, H.: Asymmetrically coupled silicon-on-insulator microring resonators for compact add-drop multiplexers. IEEE Photonics Technol. Lett. 15, 921–923 (2003)
Xu, Q., Fattal, D., Beausoleil, R.G.: Silicon microring resonators with 1.5-μm radius. Opt. Express 16, 4309–4315 (2008)