Design of a Directional Coupler based on UV-Induced LiNbO3 Waveguides
-
T. Ghosh
,
B. Samanta
Abstract
A semi-analytical technique, effective index-based matrix method (EIMM), has been applied to determine the coupling length of continuous wave UV-written directional coupler for different gaps between the waveguides as well as the pure bending loss and transition loss of S-curved waveguides estimated to optimize the transition length (L) and lateral offset (h). The refractive index profiles of the directional coupler were computed by solving the heat flow equation on the surface of LiNbO3 crystal, and used as input to EIMM.
References
1. Alferness RC. Guided-wave devices for optical communications. J Quantum Electron 1981;17:946–59.10.1109/JQE.1981.1071209Search in Google Scholar
2. Danielsen P. Two dimensional propagating beam analysis of an electrooptic waveguide modulator. J Quantum Electron 1984;20:1093–7.10.1109/JQE.1984.1072507Search in Google Scholar
3. Miliou AN, Srivastava R, Ramasvamy RV. A 1.3 μm directional- coupler polarization splitter by ion exchanged. J Lightwave Technol 1993;11:220–5.10.1109/50.212530Search in Google Scholar
4. Rubiyanto A, Ricken R, Herrmann H, Tian F, Sohler W. Integrated optical heterodyne interferometer in lithium niobate. J Nonlinear Optic Phys Mat 2001;10:163–8.10.1142/S0218863501000516Search in Google Scholar
5. Tervonen A, Honkamen S, Najafi SI. Analysis of symmetrical directional coupler and asymmetric Mach-Zehnder interferometer as 1.3 μm and 1.55 μm dual wavelength demultiplexer/multiplexer. J Opt Eng 1993;32:2083–91.10.1117/12.145072Search in Google Scholar
6. Ctyroky J, Hofman M, Janta J, Schrofel J. 3-D analysis of LiNbO3: Ti channel waveguides and directional couplers. J Quantum Electron 1984;20:400–9.10.1109/JQE.1984.1072414Search in Google Scholar
7. Feit MD, Fleck Jr JA, McCaughan L. Comparison of calculated and measured performance of diffused channel-waveguide couplers. J. Opt Soc Am 1983;73:1296–304.10.1364/JOSA.73.001296Search in Google Scholar
8. Jain U, Sharma A, Thyagarajan K, Ghatak AK. Coupling characteristics of a diffused channel-waveguide directional coupler. JOSA 1982;72:1545–9.10.1364/JOSA.72.001545Search in Google Scholar
9. Hawkins RT, Goll JH. Method for calculating coupling length of Ti: LiNbO3 waveguide directional couplers. J Lightwave Technol 1988;6:887–91.10.1109/50.4078Search in Google Scholar
10. Ganguly P, Biswas JC, Lahiri SK. A matrix-based analytical model of critical coupling length of titanium In-diffused integrated-optic directional coupler on lithium niobate substrate. Fiber Integr Opt 1998;17:139–155.10.1080/014680398245019Search in Google Scholar
11. Chakraborty R, Ganguly P, Biswas JC, Lahiri SK. Modal profiles in Ti: LiNbO3 two-waveguide and three waveguide couplers by effective-index-based matrix method. Elsevier, Opt Commun 2001;187:155–63.10.1016/S0030-4018(00)01104-4Search in Google Scholar
12. Samanta S, Banerji P, Ganguly P. Effective index-based matrix method for silicon waveguides in SOI platform. Elsevier, Optik 2015;126:5488–95.10.1016/j.ijleo.2015.09.003Search in Google Scholar
13. Mailis S, Riziotis C, Wellington IT, Smith PGR, Gawith CBE, Eason RW. Direct ultraviolet writing of channel waveguides in congruent lithium niobate single crystals. Opt Lett 2003;28:1433–5.10.1364/OL.28.001433Search in Google Scholar
14. Sones CL, Ganguly P, Ying YJ, Soergel E, Eason RW, Mailis S. Poling-inhibited ridge waveguides in lithium niobate crystals. Appl Phys Lett 2010;97:151112.10.1063/1.3504698Search in Google Scholar
15. Zisis G, Ying CYJ, Ganguly P, Sones CL, Soergel E, Eason RW, et al. Enhanced electro-optic response in domain engineered LiNbO3 Channel waveguides. Commun Appl Phys Lett 2016.10.1063/1.4958685Search in Google Scholar
16. Muir AC, Daniell GJ, Please CP, Wellington IT, Mailis S, Eason RW. Modelling the formation of optical waveguides produced in LiNbO3 by laser induced thermal diffusion of lithium ions. Appl Phys A 2006;83:389–96.10.1007/s00339-006-3493-4Search in Google Scholar
17. Ghosh T, Samanta B, Jana PC, Ganguly P. Theoretical estimation of refractive index of continuous wave UV induced waveguide in LiNbO considering temperature dependent absorption coefficient. J Lightwave Technol 2013;31:2728–34.10.1109/JLT.2013.2272997Search in Google Scholar
18. Schlarb U, Betzler K. Refractive indices of lithium niobate as a function of wavelength and composition. J Appl Phys 1993;73:3472–6.10.1063/1.352951Search in Google Scholar
19. Hocker GB, Burns WK. Modes in diffused optical waveguide of arbitrary index profile. J Quantum Electron1975; 11:270–6.10.1109/JQE.1975.1068610Search in Google Scholar
20. Heiblum M, Harris JH. Analysis of curved optical waveguides by conformal transformation. J Quantum Electron 1975;11:75–83.10.1109/JQE.1975.1068563Search in Google Scholar
21. Ghatak AK, Thyagarajan K, Shenoy MR. Numerical analysis of planar optical waveguides using matrix approach. J Lightwave Technol 1987;5:660–7.10.1109/JLT.1987.1075553Search in Google Scholar
22. Koai KT, Liu PL. Modeling of Ti: LiNbO3 waveguide devices: part II-S-shaped channel waveguide bends. J Lightwave Technol 1989;7:1016–22.10.1109/50.29627Search in Google Scholar
23. Ladouceur F, Labeye P. A new general approach to optical waveguide path design. J Lightwave Technol 1995;13:481–92.10.1109/50.372446Search in Google Scholar
24. Ganguly P, Biswas JC, Lahiri SK. Modelling of titanium indiffused lithium niobate channel waveguide bends: a matrix approach. Opt Commun 1998;155:125–34.10.1016/S0030-4018(98)00308-3Search in Google Scholar
25. Subramanium V, Brabander GN, De Naghski DH, Boyd JT. Measurement of mode field profiles and bending and transition losses in curved optical channel waveguides. J Lightwave Technol 1997;15:990–7.10.1109/50.588672Search in Google Scholar
26. Sones CL, Ganguly P, Ying YJ, Soergel E, Eason RW, Mailis S. Spectral and electro-optic response of UV-written waveguides in lithium niobate single crystals. Opt Express 2009 Dec;17:23755–64.10.1364/OE.17.023755Search in Google Scholar PubMed
27. Xu CL, Huang WP, Chaudhuri SK. Efficient and accurate vector mode calculations by beam propagation method. J Lightwave Technol 1993;11:1209–15.10.1109/50.238083Search in Google Scholar
28. Gorajoobi SB, Kaykisiz MM, Bulgan E. Characterization of strongly coupled Si-wire waveguides for high-density optical WDM and sensing applications. J Lightwave Technol 2013;31:3469–76.10.1109/JLT.2013.2284246Search in Google Scholar
29. Tsarev Andrei V. New compact polarization rotator in anisotropic LiNbO3 graded-index waveguide. Opt Express 2008;16:1653–8.10.1364/OE.16.001653Search in Google Scholar
30. Hofschen S, Wolff I. Improvements of two-dimensional FDTD method for the simulation of normal- and superconducting planar waveguides using time series analysis. IEEE Trans Microwave Theory Tech 1996;44:1487–90.10.1109/22.536033Search in Google Scholar
31. Xu Q, Fattal D, Beausoleil RG. Silicon microring resonators with 1.5 µm radius. Opt Express 2008;16:4309–15.10.1364/OE.16.004309Search in Google Scholar
32. Pemper Y, Lomakin V, Heyman E, Kastner R, Ziolkowski RW. Moving coordinate frame FDTD analysis of long range tracking of pulsed field in graded index waveguide. J Electromagn Wave Appl 2000;14:493–6.10.1080/09205071.2000.9756667Search in Google Scholar
© 2017 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Amplifiers
- Gain Saturation Analysis of Raman–Fiber Optical Parametric Hybrid Amplifier
- Investigation of 16 × 10 Gbps DWDM System Based on Optimized Semiconductor Optical Amplifier
- A Coherent Optical OFDM Communication System with Nonlinear Distortion Compensation in the Channel and Receiver
- Detectors
- Evaluation of FSO Link Using Array of Photodetectors
- Devices
- Design of a Directional Coupler based on UV-Induced LiNbO3 Waveguides
- Fibers
- A Novel Demultiplexing Design for Coarse WDM: Exploiting Material Dispersion
- Integrated optics
-
Exact Dispersion Study of an Asymmetric Thin Planar Slab Dielectric Waveguide without Computing
- Networks
- Performance of Bus and Ring Network Topologies Based on SOA Bias Current
- A Energy-Saving Path-Shared Protection Based on Diversity Network Coding for Multi-rate Multicast in WDM Mesh Networks
- Receiver
- An Analytical Approach for Performance Enhancement of FSO Communication System Using Array of Receivers in Adverse Weather Conditions
- Modelling of 10 Gbps Free Space Optics Communication Link Using Array of Receivers in Moderate and Harsh Weather Conditions
- Systems
- Performance Evaluation and Nonlinear Mitigation through DQPSK Modulation in 32 × 40 Gbps Long-Haul DWDM Systems
- Numerical Analysis of the Performance of Millimeter-Wave RoF-Based Cellular Backhaul Links
- Impact of XPM Crosstalk on SCM-Based RoF Systems
- Simulative Investigation on the Effect of Different Parameters on the Performance of IsOWC System
- Application of Optical Frequency Comb in High-Capacity Long Distance Optical Communication for China-Pakistan Economic Corridor
- Theory
- Investigating and Modeling the Effect of Laser Intensity and Nonlinear Regime of the Fiber on the Optical Link
- Performance of Different OCDMA Codes with FWM and XPM Nonlinear Effects
Articles in the same Issue
- Frontmatter
- Amplifiers
- Gain Saturation Analysis of Raman–Fiber Optical Parametric Hybrid Amplifier
- Investigation of 16 × 10 Gbps DWDM System Based on Optimized Semiconductor Optical Amplifier
- A Coherent Optical OFDM Communication System with Nonlinear Distortion Compensation in the Channel and Receiver
- Detectors
- Evaluation of FSO Link Using Array of Photodetectors
- Devices
- Design of a Directional Coupler based on UV-Induced LiNbO3 Waveguides
- Fibers
- A Novel Demultiplexing Design for Coarse WDM: Exploiting Material Dispersion
- Integrated optics
-
Exact Dispersion Study of an Asymmetric Thin Planar Slab Dielectric Waveguide without Computing
- Networks
- Performance of Bus and Ring Network Topologies Based on SOA Bias Current
- A Energy-Saving Path-Shared Protection Based on Diversity Network Coding for Multi-rate Multicast in WDM Mesh Networks
- Receiver
- An Analytical Approach for Performance Enhancement of FSO Communication System Using Array of Receivers in Adverse Weather Conditions
- Modelling of 10 Gbps Free Space Optics Communication Link Using Array of Receivers in Moderate and Harsh Weather Conditions
- Systems
- Performance Evaluation and Nonlinear Mitigation through DQPSK Modulation in 32 × 40 Gbps Long-Haul DWDM Systems
- Numerical Analysis of the Performance of Millimeter-Wave RoF-Based Cellular Backhaul Links
- Impact of XPM Crosstalk on SCM-Based RoF Systems
- Simulative Investigation on the Effect of Different Parameters on the Performance of IsOWC System
- Application of Optical Frequency Comb in High-Capacity Long Distance Optical Communication for China-Pakistan Economic Corridor
- Theory
- Investigating and Modeling the Effect of Laser Intensity and Nonlinear Regime of the Fiber on the Optical Link
- Performance of Different OCDMA Codes with FWM and XPM Nonlinear Effects
