Electromagnetic sensitivity analysis and shape optimization using method of moments and automatic differentiation

IEEE Transactions on Antennas and Propagation

Volumn 57, Issue 1, 2009, Pages 168-175

  Toivanen, Jukka I ^a   Mäkinen, Raino A E ^a   Järvenpää, Seppo ^b   Ylä Oijala, Pasi ^b   Rahola, Jussi ^c  

^a UNIVERSITY OF JYVÄSKYLÄ   (Finland)

^b AALTO UNIVERSITY   (Finland)

^c MICROSOFT   (United States)

Author keywords

Antennas; Optimization methods; Shape optimization; Shape sensitivity analysis

Indexed keywords

ANTENNAS; ELECTROMAGNETS; METHOD OF MOMENTS; SENSITIVITY ANALYSIS;

ADJOINT; ASSEMBLY TIME; AUTOMATIC DIFFERENTIATIONS; ELECTROMAGNETIC DEVICES; ELECTROMAGNETIC SENSITIVITIES; FINITE DIFFERENCES; GRADIENT-BASED OPTIMIZATIONS; MEMORY USAGES; NUMERICAL PRECISION; OPTIMIZATION METHODS; RESPONSE LEVELS; SHAPE SENSITIVITY ANALYSIS; YAGI-UDA ARRAYS;

SHAPE OPTIMIZATION;

EID: 63149173720     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2008.2009657     Document Type: Article

References (16)

1. J. Haslinger and R. A. E. Mäkinen, Introduction to Shape Optimization: Theory, Approximation, and Computation. Philadelphia, PA:
2. C.-S. Koh and S.-Y. Hahn, "A continuum approach in shape design sensitivity analysis of magnetostatic problems using the boundary element method," IEEE Trans. Magn., vol. 29, pp. 1771-1774, 1993.
3. C.-S. Koh, S.-Y. Hahn, T.-K. Chung, and H.-K. Jung, "A sensitivity analysis using boundary element method for shape optimization of electromagnetic devices," IEEE Trans. Magn., vol. 28, pp. 1577-1580, 1992.
4. J. P. Webb, "Finite-element analysis of the effect of geometric tolerances on performance over a frequency band," IEEE Trans. Microwave Theory Tech., vol. 52, pp. 306-310, 2004.
5. C. Singh and D. Sarkar, "Practical considerations in the optimisation of induction motor design," Proc. Inst. Elect. Eng. Electr. Power Applicat., vol. 139, pt. B, pp. 365-373, 1992.
6. N. K. Georgieva, S. Glavic, M. H. Bakr, and J. W. Bandler, "Feasible adjoint sensitivity technique for EM design optimization," IEEE Trans. Microw. Theory Tech., vol. 50, pp. 2751-2758, 2002.
7. D. Li, N. K. Nikolova, and M. H. Bakr, "Optimization using Broyden-update self-adjoint sensitivities," in Proc. IEEE Antennas Propag. Soc. Int. Symp. 2006, 2006, pp. 573-576.
8. N. K. Nikolova, J. W. Bandler, and M. H. Bakr, "Adjoint techniques for sensitivity analysis in high-frequency structure CAD," IEEE Trans. Microwave Theory Tech., vol. 52, pp. 403-419, 2004.
9. A. Griewank, Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation. Philadelphia, PA: SIAM, 2000.
10. V. Fischer, L. Gerbaud, and F. Wurtz, "Using automatic code differentiation for optimization," IEEE Trans. Magn., vol. 41, pp. 1812-1815, 2005.
11. S. M. Rao, D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas Propag., vol. AP-30, pp. 409-418, 1982.
12. D. A. Dunavant, "High degree efficient symmetrical Gaussian quadrature rules for the triangle," Int. J. Numer. Methods Eng., vol. 21, pp. 1129-1148, 1985.
13. P. Ylä-Oijala and M. Taskinen, "Calculation of CFIE impedance matrix elements with RWG and nxRWG functions," IEEE Trans. Antennas Propag. vol. 51, pp. 1837-1846, 2003.
14. N. K. Nikolova, J. Zhu, D. Li, M. H. Bakr, and J. W. Bandler, "Sensitivity analysis of network parameters with electromagnetic frequency-domain simulators," IEEE Trans. Microwave Theory Tech., vol. 54, pp. 670-681, 2006.
15. C. H. Bischof, P. M. Khademi, A. Bouaricha, and A. Carle, "Efficient computation of gradients and Jacobians by dynamic exploitation of sparsity in automatic differentiation," Optim. Methods Software, vol. 7, pp. 1-39, 1996.
16. 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, pp. 2147-2157, 2004.