Abstract
For the first time, singular perturbation technique in conjunction with effective index method is used to quantitatively estimate parametric variations in a bend rectangular waveguide of subwavelength dimensions that forms a basic unit of photonics integrated circuits optical interconnect. These parametric variations are correlated to losses due to bending and coupling of bend and straight waveguides. The results are compared with that obtained by more rigorous finite elements method. A scheme to compensate the losses is also proposed. In case of tight bends (bending radius ≈ 10 μm) coupling loss compensation of about 40 dB is achieved.
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Bamiedakis, N., Penty, R.V., White, I.H.: Compact multimode polymer waveguide bends for board-level optical interconnects. J. Lightwave Technol. 31, 2370–2375 (2013)
Chiang, K.S., Kwan, C.H., Lo, K.M.: Effective-index method with built-in perturbation correction for the vector modes of rectangular-core optical waveguides. J. Lightwave Technol. 17, 716–722 (1999)
Deck, R.T., Mirkov, M., Bagley, B.G.: Determination of bending losses in rectangular waveguides. J. Lightwave Technol. 16, 1703–1714 (1998)
Gabrielli, L.H., Liu, D., Johnson, S.G., Lipson, M.: On-chip transformation optics for multimode waveguide bends. Nat. Commun. (2012). doi:10.1038/Ncomms2232
Garth, S.J.: Field in a bend single mode fiber. Electron. Lett. 23, 373–374 (1987)
Ghatak, A.K., Thyagarajan, K.: Optical Electronics. Cambridge University Press India Pvt. Ltd., Cambridge (2011)
Goyal, I.C., Gallawa, R.L., Ghatak, A.K.: Bent planar waveguides and whispering gallery modes: a new method of analysis. J. Lightwave Technol. 8, 768–774 (1990)
Grillot, F., Vivien, L., Laval, S., Cassan, E.: Propagation loss in single-mode ultrasmall square silicon-on-insulator optical waveguides. J. Lightwave Technol. 24, 891–896 (2006)
Heikal, A.M., Hameed, F.O., Obayya, S.A.: Coupling characteristic of a novel hybrid long-range plasmonic waveguide including bends. IEEE J. Quantum Electron. 49, 621–627 (2013)
Heiblum, M., Harris, J.H.: Analysis of curved optical waveguide by conformal transformation. IEEE J. Quantum Electron. 11, 75–82 (1975)
Hiremath, K.R., Hammer, M., Stoffer, R., Prkna, L., Yroky, J.C.: Analytic approach to dielectric optical bent slab waveguides. Opt. Quantum Electron. 37, 37–61 (2005)
Huang, S., Li, M.-J., Chen, K.P.: Board-level optical interconnect using glass. CLEO: Science and Innovations, San Jose, California, USA, (2015)
Jedidi, R., Pierre, R.: High-order finite-element methods for the computation of bending loss in optical waveguides. J. Lightwave Technol. 25, 2618–2630 (2007)
Jung, E.J., Lee, W.J., Kim, M.J., Hwang, S.H., Byung, R.S.: Efficient coupling of hybrid optical waveguide with a sharp bend structure for high integration. Opt. Quantum Electron. 46, 1373–1378 (2014)
Khan, I., Rahman, M.: Bending loss analysis of optical waveguide for SOI & SOS material system towards photonic integration. In: Global Engineering, Science and Technology Conference, pp. 27–28 (2013)
Kumar, A., Gallawa, R.L.: Bending-induced loss in dual-mode rectangular waveguides. Opt. Lett. 19, 707–709 (1994)
Kwan, C.H., Chiang, K.S.: Study of polarization-dependent coupling in optical waveguide directional coupler by the effective-index method with built-in perturbation correction. J. Lightwave Technol. 20, 1018–1025 (2002)
Liu, D.: Gabrielli Lucas H., Lipson M., Steven G.: Transformation inverse design. Optics express. 21(12), 14223–14243 (2013)
Marcatili, E.A.J.: Bend in optical dielectric guides. J. Bell system technology. 48, 2103–2132 (1969)
Navalakhe, R.K., Dasgupta, N., Das, B.K.: Design of low-loss compact 90° bend optical waveguide for photonic circuit applications in SOI platform. In: IEEE Region 10 Colloquium, the Third ICIIS, pp. 1–5 (2008)
Nayfeh, A.H., Asfar, O.R.: Parallel-plate waveguide with sinusoidally perturbed boundaries. J. Appl. Phys. 45, 4797–4800 (1974)
Pollock, C.R., Lipson, M.: Integrated photonics. Kluwer, Boston, MA (2003)
Popovic, M., Wada, K., Akiyama, S.: Air trenches for sharp silica waveguide bends. J. Lightwave Technol. 10, 1762–1772 (2002)
Priye, V., Edminister, J.A.: Electromagnetic. Tata McGraw Hill Education Pvt. Ltd., India (2011)
Priye, V., Sarkar, S.N.: Calculation of shift and 3-dB width of fundamental mode of a bent monomode fiber having arbitrary refractive index profile. J. Opt. Commun. 9, 140–143 (1988)
Priye, V., Mickelson, A.R.: Multiple scale analysis of low index sub wavelength slot waveguide electrooptic modulator. In: IEEE Conference. ISBN: 978-1-4799-2174 (2013)
Schermer, R.T., Cole, J.H.: Improved bend loss formula verified for optical fiber by simulation and experiment. IEEE J. Quantum Electron. 43, 899–909 (2007)
Shih, C.T., Zeng, Z.W., Chang, Y.C., Lee, Y.J., Chao, S.: Optical design of bent rib waveguide with MOS cross-section. Opt. Rev. 16, 413–415 (2009)
Thyagarajan, K., Shenoy, M.R., Ghatak, A.K.: Accurate numerical method for the calculation of bending loss in optical waveguides using a matrix approach. Opt. Lett. 12, 296–298 (1987)
Westerveld, W.J., Leinders, S.M.: Extension of Marcatili’s analytical approach for rectangular silicon optical waveguides. J. Lightwave Technol. 30, 2388–2401 (2012)
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Authors gratefully acknowledge help of Dr. Jitendra K. Mishra, Mr. Nishit Malviya and Mr. Ritu Raj Singh for fruitful discussions.
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Kumar, V., Priye, V. Analytical prediction of coupling losses in bend silicon subwavelength optical interconnect. Opt Quant Electron 49, 10 (2017). https://doi.org/10.1007/s11082-016-0845-y
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DOI: https://doi.org/10.1007/s11082-016-0845-y