Two-groove narrowband transmission filter integrated into a slab waveguide
We propose a simple integrated narrowband filter consisting of two grooves on the surface of a slab waveguide. Spectral filtering is performed in transmission at oblique incidence due to excitation of an eigenmode of the structure localized at a ridge cavity between the grooves. For the considered parameters, zero reflectance and unity transmittance are achieved at resonant conditions. The width and location of the transmittance peak can be controlled by changing the widths of the grooves and of the ridge, respectively. The proposed filter may find application in waveguide-integrated spectrometers.
基金项目：Russian Science Foundation (RSF)10.13039/501100006769 (14-19-00796); Russian Foundation for Basic Research (RFBR)10.13039/501100002261 (15-07-00548, 16-29-11683).
Evgeni A. Bezus：Image Processing Systems Institute—Branch of the Federal Scientific Research Centre “Crystallography and Photonics” of Russian Academy of Sciences, 151 Molodogvardeyskaya St., Samara 443001, RussiaSamara National Research University, 34 Moskovskoe Shosse, Samara 443086, Russia
Dmitry A. Bykov：Image Processing Systems Institute—Branch of the Federal Scientific Research Centre “Crystallography and Photonics” of Russian Academy of Sciences, 151 Molodogvardeyskaya St., Samara 443001, RussiaSamara National Research University, 34 Moskovskoe Shosse, Samara 443086, Russia
【1】H. A. Haus, Waves and Fields in Optoelectronics (Prentice-Hall, 1984).
【2】T. Mossberg, “Planar holographic optical processing devices,” Opt. Lett. 26 , 414–416 (2001).
【3】G. Calafiore, A. Koshelev, S. Dhuey, A. Goltsov, P. Sasorov, S. Babin, V. Yankov, S. Cabrini, and C. Peroz, “Holographic planar lightwave circuit for on-chip spectroscopy,” Light Sci. Appl. 3 , e203 (2014).
【4】S. Babin, A. Bugrov, S. Cabrini, S. Dhuey, A. Goltsov, I. Ivonin, E.-B. Kley, C. Peroz, H. Schmidt, and V. Yankov, “Digital optical spectrometer-on-chip,” Appl. Phys. Lett. 95 , 041105 (2009).
【5】C. Peroz, C. Calo, A. Goltsov, S. Dhuey, A. Koshelev, P. Sasorov, I. Ivonin, S. Babin, S. Cabrini, and V. Yankov, “Multiband wavelength demultiplexer based on digital planar holography for on-chip spectroscopy applications,” Opt. Lett. 37 , 695–697 (2012).
【6】C. Peroz, A. Goltsov, S. Dhuey, P. Sasorov, B. Harteneck, I. Ivonin, S. Kopyatev, S. Cabrini, S. Babin, and V. Yankov, “High-resolution spectrometer-on-chip based on digital planar holography,” IEEE Photon. J. 3 , 888–896 (2011).
【7】X. Ma, M. Li, and J. J. He, “CMOS-compatible integrated spectrometer based on Echelle diffraction grating and MSM photodetector array,” IEEE Photon. J. 5 , 7101307 (2013).
【8】R. V. Schmidt, D. C. Flanders, C. V. Shank, and R. D. Standley, “Narrow-band grating filters for thin-film optical waveguides,” Appl. Phys. Lett. 25 , 651–652 (1974).
【9】C. S. Hong, J. B. Shellan, A. C. Livanos, A. Yariv, and A. Katzir, “Broadband grating filters for thin film optical waveguides,” Appl. Phys. Lett. 31 , 276–278 (1977).
【10】L. A. Weller-Brophy, and D. G. Hall, “Analysis of waveguide gratings: application of Rouard’s method,” J. Opt. Soc. Am. A 2 , 863–871 (1985).
【11】R. Zengerle, and O. Leminger, “Phase-shifted Bragg-grating filter with improved transmission characteristics,” J. Lightwave Technol. 13 , 2354–2358 (1995).
【12】J. N. Damask, and H. A. Haus, “Wavelength-division multiplexing using channel-dropping filters,” J. Lightwave Technol. 11 , 424–428 (1993).
【13】R. Sainidou, J. Renger, T. V. Teperik, M. U. González, R. Quidant, and F. J. G. de Abajo, “Extraordinary all-dielectric light enhancement over large volumes,” Nano Lett. 10 , 4450–4455 (2010).
【14】R. Dragila, B. Luther-Davies, and S. Vukovic, “High transparency of classically opaque metallic films,” Phys. Rev. Lett. 55 , 1117–1120 (1985).
【15】D. A. Bykov, L. L. Doskolovich, N. V. Golovastikov, and V. A. Soifer, “Time-domain differentiation of optical pulses in reflection and in transmission using the same resonant grating,” J. Opt. 15 , 105703 (2013).
【16】E. Popov, L. Mashev, and D. Maystre, “Theoretical study of the anomalies of coated dielectric gratings,” Opt. Acta 33 , 607–619 (1986).
【17】J. Hu, and C. R. Menyuk, “Understanding leaky modes: slab waveguide revisited,” Adv. Opt. Photon. 1 , 58–106 (2009).
【18】G. Lifante, Integrated Photonics: Fundamentals (Wiley, 2003).
【19】E. Silberstein, P. Lalanne, J.-P. Hugonin, and Q. Cao, “Use of grating theories in integrated optics,” J. Opt. Soc. Am. A 18 , 2865–2875 (2001).
【20】D. A. Bykov, and L. L. Doskolovich, “On the use of the Fourier modal method for calculation of localized eigenmodes of integrated optical resonators,” Comput. Opt. 39 , 663–673 (2015).
【21】A. Emadi, H. Wu, G. de Graaf, and R. Wolffenbuttel, “Design and implementation of a sub-nm resolution microspectrometer based on a linear-variable optical filter,” Opt. Express 20 , 489–507 (2012).
【22】N. P. Ayerden, G. de Graaf, and R. F. Wolffenbuttel, “Compact gas cell integrated with a linear variable optical filter,” Opt. Express 24 , 2981–3002 (2016).
【23】A. Emadi, H. Wu, G. de Graaf, P. Enoksson, J. H. Correia, and R. Wolffenbuttel, “Linear variable optical filter-based ultraviolet microspectrometer,” Appl. Opt. 51 , 4308–4315 (2012).
【24】K. Hendrix, “Linear variable filters for NASA’s OVIRS instrument: pushing the envelope of blocking,” Appl. Opt. 56 , C201–C205 (2017).
【25】N. V. Golovastikov, D. A. Bykov, and L. L. Doskolovich, “Temporal differentiation and integration of 3D optical pulses using phase-shifted Bragg gratings,” Comput. Opt. 41 , 13–21 (2017).
【26】W. Suh, and S. Fan, “All-pass transmission or flattop reflection filters using a single photonic crystal slab,” Appl. Phys. Lett. 84 , 4905–4907 (2004).
Leonid L. Doskolovich, Evgeni A. Bezus, and Dmitry A. Bykov, "Two-groove narrowband transmission filter integrated into a slab waveguide," Photonics Research 6(1), 61 (2018)