Efficient adjoint sensitivity analysis exploiting the FD-BPM

Journal of Lightwave Technology

Volumn 25, Issue 7, 2007, Pages 1861-1869

  Swillam, Mohamed A ^a   Bakr, Mohamed H ^a   Li, Xun ^a  

^a MCMASTER UNIVERSITY   (Canada)

Author keywords

Adjoint variable method (AVM); Beam propagation method (BPM); Design optimization; Directional coupler; Mach Zehnder modulator; Multimode interference (MMI); Sensitivity analysis

Indexed keywords

DIRECTIONAL COUPLERS; FINITE DIFFERENCE METHOD; LIGHT INTERFERENCE; LIGHT MODULATORS; OPTICAL DESIGN; SENSITIVITY ANALYSIS;

ADJOINT VARIABLE METHOD; MACH-ZEHNDER MODULATOR; MULTIMODE INTERFERENCE;

BEAM PROPAGATION METHOD;

EID: 34547097267     PISSN: 07338724     EISSN: None     Source Type: Journal    
DOI: 10.1109/JLT.2007.899171     Document Type: Article

References (23)

1. N. K. Nikolova, R. Safian, E. A. Soliman, M. H. Bakr, and J. W. Bandler, "Accelerated gradient based optimization using adjoint sensitivities," IEEE Trans. Antennas Propag., vol. 52, no. 8, pp. 2147-2157, Aug. 2004.
2. G. Veronis, R. W. Dutton, and S. Fan, "Method for sensitivity analysis of photonic crystal devices," Opt. Lett., vol. 29, no. 19, pp. 2288-2290, Oct. 2004.
3. M. A. El Sabbagh, M. H. Bakr, and J. W. Bandler, "Adjoint higher order sensitivities for fast full-wave optimization of microwave filters," IEEE Trans. Microw. Theory Tech., vol. 54, no. 8, pp. 3339-3351, Aug. 2006.
4. M. H. Bakr and N. K. Nikolova, "An adjoint variable method for frequency domain TLM problems with conducting boundaries," IEEE Microw. Wireless Compon. Lett., vol. 13, no. 9, pp. 408-410, Sep. 2003.
5. M. H. Bakr and N. K. Nikolova, "An adjoint variable method for time domain TLM with wideband Johns matrix boundaries," IEEE Trans. Microw. Theory Tech., vol. 52, no. 2, pp. 678-685, Feb. 2004.
6. N. K. Nikolova, H.W. Tam, andM. H. Bakr, "Sensitivity analysis with the FDTD method on structured grids," IEEE Trans. Microw. Theory Tech. vol. 52, no. 4, pp. 1207-1216, Apr. 2004.
7. M. A. Swillam, M. H. Bakr, N. K. Nikolova, and X. Li, "Adjoint sensitivity analysis of dielectric discontinuities using FDTD," Electromagn., vol. 27, no. 2/3, pp. 123-140, Feb. 2007.
8. H. Akel and J. P. Webb, "Design sensitivities for scattering-matrix calculation with tetrahedral edge elements," IEEE Trans. Magn., vol. 36, no. 4, pp. 1043-1046, Jul. 2000.
9. M. A. Swillam, M. H. Bakr, and X. Li, "Accurate sensitivity analysis of photonic devices exploiting the finite-difference time-domain central adjoint variable method," Appl. Opt., vol. 46, no. 9, pp. 1492-1499, Mar. 2007.
10. D. Yevick and B. Hermansson, "New formulation of the matrix beam propagation method: Application to rib waveguide," IEEE J. Quantum Electron., vol. 25, no. 2, pp. 221-229, Feb. 1989.
11. W.-P. Huang, C. L. Xu, and S. K. Chaudhuri, "A finite-difference vector beam propagation method for three-dimensional structures," IEEE Photon. Technol. Lett., vol. 4, no. 2, pp. 148-151, Feb. 1992.
12. E. Kriezis and A. G. Papagiannakis, "A three-dimensional full vectorial beam propagation method for z-dependent structures," IEEE J. Quantum Electron., vol. 33, no. 5, pp. 883-890, May 1997.
13. P. L. Ho and Y. Y. Lu, "A bidirectional beam propagation method for periodic waveguides," IEEE Photon. Technol. Lett., vol. 14, no. 3, pp. 325-327, Mar. 2002.
14. B. Saadany and D. A. Khalil, "Modeling of MOEMS components using HDL-A," IEEE J. Sel. Topics Quantum Electron., vol. 8, no. 1, pp. 132-138, Jan./Feb. 2002.
15. K. Zinoviev, C. Dominguez, J. A. Plaza, V. J. C. Busto, and L. M. Lechuga, "A novel optical waveguide microcantilever sensor for the detection of nanomechanical forces," J. Lightw. Technol., vol. 24, no. 5, pp. 2132-2138, May 2006.
16. L. D. S. Alcantara, F. L. Teixeira, A. C. Cesar, and B.-H. V. Borges, "A new full-vectorial FD-BPM scheme: Application to the analysis of magnetooptic and nonlinear saturable media," J. Lightw. Technol., vol. 23, no. 8, pp. 2579-2585, Aug. 2005.
17. M. D. Feit and J. A. Fleck, Jr., "Light propagation in graded-index optical fibers," Appl. Opt., vol. 17, no. 24, pp. 3990-3998, Dec. 1978.
18. H. A. Haus, Waves and Fields in Optoelectronics. Englewood Cliffs, NJ: Prentice-Hall, 1984.
19. Y. Chung and N. Dagli, "An assessment of finite difference beam propagation method," IEEE J. Quantum Electron., vol. 26, no. 8, pp. 1335-1339, Aug. 1990.
20. K. Okamoto, Fundamentals of Optical Waveguides. San Diego, CA: Academic, 2000.
21. G. R. Hadley, "Transparent boundary condition for the beam propagation method," IEEE J. Quantum Electron., vol. 28, no. 1, pp. 363-370, Jan. 1992.
22. D. Marcuse, Light Transmission Optics. New York: Van Nostrand, 1972.
23. L. B. Soldano and E. C. Pennings, "Optical multi-mode interference devices based on self-imaging: Principles and applications," J. Lightw. Technol., vol. 13, no. 4, pp. 615-627, Apr. 1995.