Tilted subwavelength gratings: controlling anisotropy in metamaterial nanophotonic waveguides

Subwavelength grating (SWG) structures are an essential tool in silicon photonics, enabling the synthesis of metamaterials with a controllable refractive index. Here we propose, for the first time to the best of our knowledge, tilting the grating elements to gain control over the anisotropy of the metamaterial. Rigorous finite difference time domain simulations demonstrate that a 45° tilt results in an effective index variation on the fundamental TE mode of 0.23 refractive index units, whereas the change in the TM mode is 20 times smaller. Our simulation predictions are corroborated by experimental results. We furthermore propose an accurate theoretical model for designing tilted SWG structures based on rotated uniaxial crystals that is functional over a wide wavelength range and for both the fundamental and higher order modes. The proposed control over anisotropy opens promising venues in polarization management devices and transformation optics in silicon photonics.Universidad de Málaga (UMA); Ministerio de Economía y Competitividad (MINECO) (IJCI-2016-30484, TEC2015-71127-C2-R, TEC2016-80718-R); Ministerio de Educación, Cultura y Deporte (MECD) (FPU16/06762); European Regional Development Fund (ERDF); Comunidad de Madrid (SINFOTON-CM S2013/MIT-2790); European Association of National Metrology Institutes (EURAMET) (H2020-MSCA-RISE-2015:SENSIBLE, JRP-i22 14IND13 Photind)

Suspended silicon mid-infrared waveguide devices with subwavelength grating metamaterial cladding

We present several fundamental photonic building blocks based on suspended silicon waveguides supported by a lateral cladding comprising subwavelength grating metamaterial. We discuss the design, fabrication, and characterization of waveguide bends, multimode interference devices and Mach-Zehnder interferometers for the 3715 - 3800 nm wavelength range, demonstrated for the first time in this platform. The waveguide propagation loss of 0.82 dB/cm is reported, some of the lowest loss yet achieved in silicon waveguides for this wavelength range. These results establish a direct path to ultimately extending the operational wavelength range of silicon wire waveguides to the entire transparency window of silicon

Experimental study of subwavelength grating bimodal waveguides as ultrasensitive interferometric sensors

[EN] Over the recent years, subwavelength grating (SWG) structures have increasingly attracted attention in the area of evanescent-field photonic sensors. In this Letter, for the first time to the best of our knowledge, we demonstrate experimentally the real-time refractive index (RI) sensing using the SWG bimodal interferometric structures. Two different configurations are considered to compare the effect of the nonlinear phase shift, obtained between the two first transverse electromagnetic propagating modes, in the measured bulk sensitivity. Very high experimental values up to 2270 nm/RIU are reached, which perfectly match the numerical simulations and significantly enhance other existing SWG and spectralbased sensors. By measuring the spectral shift, the obtained experimental sensitivity does not depend on the sensor length. As a result, a highly sensitive and compact singlechannel interferometer is experimentally validated for refractive index sensing, thus opening new paths in the field of optical integrated sensors.European Commission (PHC-634013 PHOCNOSIS project); Spanish Government (TEC2015-63838-C3-1-R-OPTONANOSENS project); Universitat Politecnica de Valencia (grant PAID 01-18).Torrijos-Morán, L.; Griol Barres, A.; García-Rupérez, J. (2019). Experimental study of subwavelength grating bimodal waveguides as ultrasensitive interferometric sensors. Optics Letters. 44(19):4702-4705. https://doi.org/10.1364/OL.44.004702S470247054419Cheben, P., Xu, D.-X., Janz, S., & Densmore, A. (2006). Subwavelength waveguide grating for mode conversion and light coupling in integrated optics. Optics Express, 14(11), 4695. doi:10.1364/oe.14.004695Schmid, J. H., Cheben, P., Janz, S., Lapointe, J., Post, E., & Xu, D.-X. (2007). Gradient-index antireflective subwavelength structures for planar waveguide facets. Optics Letters, 32(13), 1794. doi:10.1364/ol.32.001794Bock, P. J., Cheben, P., Schmid, J. H., Lapointe, J., Delâge, A., Janz, S., … Hall, T. J. (2010). Subwavelength grating periodic structures in silicon-on-insulator: a new type of microphotonic waveguide. Optics Express, 18(19), 20251. doi:10.1364/oe.18.020251Halir, R., Bock, P. J., Cheben, P., Ortega‐Moñux, A., Alonso‐Ramos, C., Schmid, J. H., … Janz, S. (2014). Waveguide sub‐wavelength structures: a review of principles and applications. Laser & Photonics Reviews, 9(1), 25-49. doi:10.1002/lpor.201400083Cheben, P., Halir, R., Schmid, J. H., Atwater, H. A., & Smith, D. R. (2018). Subwavelength integrated photonics. Nature, 560(7720), 565-572. doi:10.1038/s41586-018-0421-7Gonzalo Wangüemert-Pérez, J., Cheben, P., Ortega-Moñux, A., Alonso-Ramos, C., Pérez-Galacho, D., Halir, R., … Schmid, J. H. (2014). Evanescent field waveguide sensing with subwavelength grating structures in silicon-on-insulator. Optics Letters, 39(15), 4442. doi:10.1364/ol.39.004442Donzella, V., Sherwali, A., Flueckiger, J., Grist, S. M., Fard, S. T., & Chrostowski, L. (2015). Design and fabrication of SOI micro-ring resonators based on sub-wavelength grating waveguides. Optics Express, 23(4), 4791. doi:10.1364/oe.23.004791Flueckiger, J., Schmidt, S., Donzella, V., Sherwali, A., Ratner, D. M., Chrostowski, L., & Cheung, K. C. (2016). Sub-wavelength grating for enhanced ring resonator biosensor. Optics Express, 24(14), 15672. doi:10.1364/oe.24.015672Yan, H., Huang, L., Xu, X., Chakravarty, S., Tang, N., Tian, H., & Chen, R. T. (2016). Unique surface sensing property and enhanced sensitivity in microring resonator biosensors based on subwavelength grating waveguides. Optics Express, 24(26), 29724. doi:10.1364/oe.24.029724Huang, L., Yan, H., Xu, X., Chakravarty, S., Tang, N., Tian, H., & Chen, R. T. (2017). Improving the detection limit for on-chip photonic sensors based on subwavelength grating racetrack resonators. Optics Express, 25(9), 10527. doi:10.1364/oe.25.010527Benedikovic, D., Berciano, M., Alonso-Ramos, C., Le Roux, X., Cassan, E., Marris-Morini, D., & Vivien, L. (2017). Dispersion control of silicon nanophotonic waveguides using sub-wavelength grating metamaterials in near- and mid-IR wavelengths. Optics Express, 25(16), 19468. doi:10.1364/oe.25.019468Halir, R., Cheben, P., Luque‐González, J. M., Sarmiento‐Merenguel, J. D., Schmid, J. H., Wangüemert‐Pérez, G., … Molina‐Fernández, Í. (2016). Ultra‐broadband nanophotonic beamsplitter using an anisotropic sub‐wavelength metamaterial. Laser & Photonics Reviews, 10(6), 1039-1046. doi:10.1002/lpor.201600213Luque-González, J. M., Herrero-Bermello, A., Ortega-Moñux, A., Molina-Fernández, Í., Velasco, A. V., Cheben, P., … Halir, R. (2018). Tilted subwavelength gratings: controlling anisotropy in metamaterial nanophotonic waveguides. Optics Letters, 43(19), 4691. doi:10.1364/ol.43.004691Jahani, S., Kim, S., Atkinson, J., Wirth, J. C., Kalhor, F., Noman, A. A., … Jacob, Z. (2018). Controlling evanescent waves using silicon photonic all-dielectric metamaterials for dense integration. Nature Communications, 9(1). doi:10.1038/s41467-018-04276-8Torrijos-Morán, L., & García-Rupérez, J. (2019). Single-channel bimodal interferometric sensor using subwavelength structures. Optics Express, 27(6), 8168. doi:10.1364/oe.27.008168Levy, R., & Ruschin, S. (2009). Design of a Single-Channel Modal Interferometer Waveguide Sensor. IEEE Sensors Journal, 9(2), 146-1. doi:10.1109/jsen.2008.2011075Zinoviev, K. E., Gonzalez-Guerrero, A. B., Dominguez, C., & Lechuga, L. M. (2011). Integrated Bimodal Waveguide Interferometric Biosensor for Label-Free Analysis. Journal of Lightwave Technology, 29(13), 1926-1930. doi:10.1109/jlt.2011.2150734Kozma, P., Kehl, F., Ehrentreich-Förster, E., Stamm, C., & Bier, F. F. (2014). Integrated planar optical waveguide interferometer biosensors: A comparative review. Biosensors and Bioelectronics, 58, 287-307. doi:10.1016/j.bios.2014.02.049Levy, R., & Ruschin, S. (2008). Critical sensitivity in hetero-modal interferometric sensor using spectral interrogation. Optics Express, 16(25), 20516. doi:10.1364/oe.16.020516García-Rupérez, J., Toccafondo, V., Bañuls, M. J., Castelló, J. G., Griol, A., Peransi-Llopis, S., & Maquieira, Á. (2010). Label-free antibody detection using band edge fringes in SOI planar photonic crystal waveguides in the slow-light regime. Optics Express, 18(23), 24276. doi:10.1364/oe.18.024276Zhang, W., Serna, S., Le Roux, X., Vivien, L., & Cassan, E. (2016). Highly sensitive refractive index sensing by fast detuning the critical coupling condition of slot waveguide ring resonators. Optics Letters, 41(3), 532. doi:10.1364/ol.41.000532Di Falco, A., O’Faolain, L., & Krauss, T. F. (2009). Chemical sensing in slotted photonic crystal heterostructure cavities. Applied Physics Letters, 94(6), 063503. doi:10.1063/1.3079671Molina-Fernández, Í., Leuermann, J., Ortega-Moñux, A., Wangüemert-Pérez, J. G., & Halir, R. (2019). Fundamental limit of detection of photonic biosensors with coherent phase read-out. Optics Express, 27(9), 12616. doi:10.1364/oe.27.01261

Performance robustness analysis in machine-assisted design of photonic devices

Machine-assisted design of integrated photonic devices (e.g. through optimization and inverse design methods) is opening the possibility of exploring very large design spaces, novel functionalities and non-intuitive geometries. These methods are generally used to optimize performance figures-of-merit. On the other hand, the effect of manufacturing variability remains a fundamental challenge since small fabrication errors can have a significant impact on light propagation, especially in high-index-contrast platforms. Brute-force analysis of these variabilities during the main optimization process can become prohibitive, since a large number of simulations would be required. To this purpose, efficient stochastic techniques integrated in the design cycle allow to quickly assess the performance robustness and the expected fabrication yield of each tentative device generated by the optimization. In this invited talk we present an overview of the recent advances in the implementation of stochastic techniques in photonics, focusing in particular on stochastic spectral methods that have been regarded as a promising alternative to the classical Monte Carlo method. Polynomial chaos expansion techniques generate so called surrogate models by means of an orthogonal set of polynomials to efficiently represent the dependence of a function to statistical variabilities. They achieve a considerable reduction of the simulation time compared to Monte Carlo, at least for mid-scale problems, making feasible the incorporation of tolerance analysis and yield optimization within the photonic design flow

Polarization independent 2×2 multimode interference coupler with bricked subwavelength metamaterial

The silicon-on-insulator (SOI) platform enables high integration density in photonic integrated circuits while maintaining compatibility with CMOS fabrication processes. Nevertheless, its inherently high modal birefringence hinders the development of polarization-insensitive devices. The dispersion and anisotropy engineering leveraging subwavelength grating (SWG) metamaterials makes possible the development of polarization agnostic waveguide components. In this work we build upon the bricked SWG metamaterial nanostructures to design a polarization independent 2×2 multimode interference (MMI) coupler for the 220 nm SOI platform, operating in the telecom O-band. The designed device exhibits a 160 nm bandwidth with excess loss, polarization dependent loss and imbalance below 1 dB and phase error lower than 5°.Ministerio de Economía y Competitividad (PID2019-106747RB-I00), Junta de Andalucía (P18-RT-1453, UMA20-FEDERJA-158), Ministerio de Ciencia Innovación y Universidades (FPU16/06762, FPU19/02408) and Universidad de Málaga, Campus de Excelencia Internacional Andalucía Tech