Numerically-assisted coupled-mode theory for silicon waveguide couplers and arrayed waveguides

Optics Express

Volumn 17, Issue 3, 2009, Pages 1583-1599

  Cooper, Michael L ^a   Mookherjea, Shayan ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FREQUENCY DOMAIN ANALYSIS; INVERSE PROBLEMS; SILICON; SILICON ON INSULATOR TECHNOLOGY; WAVEGUIDES;

ARRAYED WAVEGUIDES; COUPLED MODE THEORY; FIELD CALCULATION; FINITE DIFFERENCE FREQUENCY DOMAIN; HIGH INDEX CONTRAST; NEAREST-NEIGHBOR COUPLING; SEPARATION DISTANCES; SILICON-ON-INSULATOR MATERIALS;

OPTICAL WAVEGUIDES;

EID: 59749094820     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.17.001583     Document Type: Article

References (27)

1. F. Xia, L. Sekaric, and Y. Vlasov, "Ultracompact optical buffers on a silicon chip," Nat. Photonics 1, 65-71 (2007).
2. Q. Xu, D. Fattal, and R. G. Beausoleil, "Silicon microring resonators with 1.5-μm radius," Opt. Express 16, 4309-4315 (2008).
3. F. Xia, M. Rooks, L. Sekaric, and Y. Vlasov, "Ultra-compact high order ring resonator filters using submicron silicon photonic wires for on-chip optical interconnects," Opt. Express 15, 11934-11941 (2007).
4. A. S. Liu, R. Jones, L. Liao, D. Samara-Rubio, D. Rubin, O. Cohen, R. Nicolaescu, and M. Paniccia, "A highspeed silicon optical modulator based on a metal oxide-semiconductor capacitor," Nature 427, 615-618 (2004).
5. Q. Xu, B. Schmidt, S. Pradhan, and M. Lipson, "Micrometer-scale silicon electro-optic modulator," Nature 435, 325-327 (2005).
6. W. M. J. Green, M. J. Rooks, L. Sekaric, and Y. A. Vlasov, "Optical modulation using anti-crossing between paired amplitude and phase resonators," Opt. Express 15, 17264-17272 (2007).
7. X. Liu, I. Hsieh, X. Chen, M. Takekoshi, J. I. Dadap, N. C. Panoiu, R. M. Osgood,W. M. Green, F. Xia, and Y. A. Vlasov, "Design and fabrication of an ultra-compact silicon on insulator demultiplexer based on arrayed waveguide gratings," in Proceedings of the Conference on Lasers and Electro-Optics (CLEO, 2008), paper CTuNN1.
8. P. Cheben, J. H. Schmid, A. Delage, A. Densmore, S. Jannz, B. Lamontagne, J. Lapointe, E. Post, P. Waldron, and D. C. Xu, "A high-resolution silicon-on-insulator arrayed waveguide grating microspectrometer with submicrometer aperture waveguides," Opt. Express 15, 2299-2306 (2007).
9. 2 size based on Si photonic wire waveguides," Elec. Lett. 41, (2007).
10. P. Dumon, W. Bogaerts, D. V. Thourhout, D. Taillaert, and R. Baets, "Compact wavelength router based on a Silicon-on-insulator arrayed waveguide grating pigtailed to a fiber array," Opt. Express 14, 664-669 (2006).
11. H. Kogelnik and C. V. Shank, "Coupled-mode theory of distributed feedback lasers," Appl. Phys. 43, 2327-2335 (1972).
12. A. Hardy and W. Streifer, "Coupled-mode theory of parallel waveguides," J. Lightwave Technol. LT-3, 1135-1146 (1985).
13. W. P. Huang, "Coupled-mode theory for optical waveguides: An overview," J. Opt. Soc. Am. A 11, 963-983 (1994).
14. K. S. Chiang, "Coupled-zigzag-wave theory for guided waves in slab waveguide arrays," J. Lightwave Technol. 10, 1380-1387 (1992).
15. F. P. Payne, "An analytical model for the coupling between the array waveguides in AWGs and star couplers," Opt. Quantum Electron. 38, 237-248 (2006).
16. E. Kapon, J. Katz, and A. Yariv, "Supermode analysis of phase-locked arrays of semiconductor lasers," Opt. Lett. 10, 125-127 (1984).
17. A. Klekamp and R. Munzner, "Calculation of imaging errors of AWG," J. Lightwave Technol. 21, 1978-1986 (2003).
18. S. H. Yang, M. L. Cooper, P. R. Bandaru, and S. Mookherjea, "Giant birefringence in multi-slotted silicon nanophotonic waveguides," Opt. Express 16, 8306-8316 (2008).
19. P. Yeh, Optical Waves in Layered Media (John Wiley & Sons, New York, 2005).
20. C. L. Xu, W. P. Huang, M.S. Stern, and S. K. Chaudhuri, "Full-vectorial mode calculations by finite difference method," IEE Proc.-Optoelectron. 141, 281-286 (1994).
21. W. P. Huang and C. L. Xu, "Simulation of three-dimensional optical waveguides by a full-vector beam propagation method," IEEE J. Quantum Electron. 29, 2639-2649 (1993).
22. M. Kuznetsov, "Expressions for the coupling coefficient of a rectangular waveguide directional coupler," Opt. Lett. 8, 499-501 (1983).
23. S. Mookherjea, "Spectral characteristics of coupled resonators," J. Opt. Soc. Am. B 23, 1137-1145 (2006).
24. G. Lenz and J. Salzman, "Eigenmodes of multiwaveguide structures," J. Lightwave Technol. 8, 1803-1809 (1990).
25. M. Popovic, C. Manolatou, and M. Watts, "Coupling-induced resonance frequency shifts in coupled dielectric multi-cavity filters," Opt. Express 14, 1208-1222 (2006).
26. E. Marcatili, "Improved coupled-mode equations for dielectric guides," IEEE J. Quantum Electron. QE-22, 988-993 (1986).
27. H. A. Haus, W. P. Huang, S. Kawakami and N. A. Whitaker, "Coupled-mode theory of optical waveguides," J. Lightwave Technol. LT-5, 16-23 (1987).