LIST OF RECENT PUBLICATIONS

A.    Refereed Journal Papers

         Published

◈         Y.S. Rickard, “An efficient wavelet-based solution of electromagnetic-field problems,” Applied Numerical Mathematics 58 (2008), pp. 472-485 (available online at www.sciencedirect.com ).

◈         Y.S. Rickard, N.K. Nikolova, “Off-grid perfect electric and magnetic wall BCs for the FDTD method,” IEEE Transactions on Microwave Theory and Techniques, vol. 53, no. 7, July 2005, pp. 2274 - 2283. (pdf)

◈         Y.S. Rickard, N.K. Nikolova, “Enhancing the PML absorbing boundary conditions for the wave equation,” IEEE Transactions on Antennas and Propagation, vol. 53, no. 3, March 2005, pp.1242-1246. (pdf)

◈         N.K. Nikolova, Y.S. Rickard, "Nonradiating electromagnetic sources in a nonuniform medium," Physical Review E, accepted. (pdf)

◈         Y.S. Rickard, N.K. Georgieva, “Problem-independent enhancement of PML ABC for the FDTD method,” IEEE Transactions on Antennas and Propagation, vol. 51, no. 10, Oct. 2003, pp. 3002-3006. (pdf)

◈         Y.S. Rickard, N.K. Georgieva, and H.W. Tam, “Absorbing boundary conditions for adjoint problems in the design sensitivity analysis with the FDTD method,” IEEE Transactions on Microwave Theory and Techniques, vol. 51, no. 2, Feb. 2003, pp. 526-529. (pdf)

◈         Y. Rickard, N.K. Georgieva and W.-P. Huang, “Application and optimization of PML ABC for the 3-D wave equation in the time domain,” IEEE Transactions on Antennas and Propagation, vol. 51, no. 2, Feb. 2003, pp. 286-295. (pdf)

◈       Y. Rickard, N.K. Georgieva and W.-P. Huang, “A perfectly matched layer for the 3-D wave equation in the time domain,” IEEE Microwave and Wireless Components Letters, vol. 12, no. 5, May 2002, pp.178-181. (pdf)

                Submitted

◈         N.K. Nikolova, Y.S. Rickard, "Source scalarization in a stratified medium," submitted to Physical Review E.

 

B.        Refereed Conference Papers

                Published

◈          N.K. Nikolova , Y.S. Rickard, and Ying Li, “Accuracy and convergence of the time-domain wave equation methods,” 2005 Workshop on Computational Electromagnetics in Time-domain (CEM-TD 2005) Proceedings, Sep. 2005, pp. 36-39. (pdf)

◈         Y.S. Rickard, Ying Li, and N.K. Nikolova, “Asymptotic convergence in the FDTD and TLM methods,” 2nd IASTED Int. Conference on Antennas, Radar, and Wave Propagation ARP 2005, July 2005, pp. 38-43.  (pdf)

◈         Y.S. Rickard, N.K. Nikolova, “Slanted walls in the FDTD method,” Proceedings of the IEEE AP-S International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting, Washington, DC, USA, July 3-8, 2005. (pdf)

◈         Y.S. Rickard, “An efficient wavelet-based approach to open problems in electromagnetics,” 7th IMACS International Symposium on Iterative Methods in Scientific Computing, Fields Institute for Research in the Mathematical Sciences, Toronto, Ontario, Canada, May 5-8, 2005. (pdf)

◈         Y.S. Rickard, “Anti-reflection coatings of optical waveguides modeled by dynamic PDEs,” Proceedings of the 30th Jubilee International Conference “Application of Mathematics in Engineering and Economics”AMEE’04, Sozopol, Bulgaria, June 7-12, 2004.

◈         Y.S. Rickard, N.K. Nikolova, “Enhancing the PML ABC for the wave equation,” Proceedings of the 2004 International Symposium on Electromagnetic Theory, Pisa, Italy, May 23-27, 2004. (pdf)

◈         N.K. Nikolova, Y.S. Rickard, “Electromagnetic source equivalence in a nonuniform medium,” Proceedings of the 2004 International Symposium on Electromagnetic Theory, Pisa, Italy, May 23-27, 2004. (pdf)

◈         Y.S. Rickard, N.K. Nikolova, “Off-grid perfect BCs for the FDTD method,” Proceedings of the Applied Computational Electromagnetics Society conference ACES 2004, April 19-23 2004, Syracuse, New York, USA. (pdf)

◈         Y.S. Rickard, “Enhanced PML ABCs for dynamic PDEs,” Proceedings of the 29th International Summer School “Application of Mathematics in Engineering and Economics” AMEE’03, Sozopol, Bulgaria, June 2003. (pdf)

◈         Y. Rickard, N. Georgieva, “Problem-independent enhancement of PML ABC for time-domain techniques in electrodynamics”, 20th Southern Ontario Numerical Analysis Day (SONAD), The Fields Institute for Research in Mathematical Science, Toronto, April 19 2002. (pdf) (lecture audio and slides)

◈         N.K. Georgieva and Y. Rickard, “The application of the wave potential functions to the analysis of transient electromagnetic fields”, IEEE MTT-S Int. Symposium Digest (Boston, Massachusetts), June 2000, vol. 2, pp. 1129-1132. (pdf)

◈         N.K. Georgieva and Y. Rickard, “Time domain modeling of electromagnetic field propagation via wave potentials,” XXVIth General Assembly of the International Union of Radio Science (URSI), August 1999, Toronto, Abstracts Digest pp. 178. (pdf)

C.      Industrial and Internal Reports

◈         Y.S. Rickard, “Accuracy of the FDTD method in the presence of edges, wedges, corners and small internal details”, Internal Report, Computational Electromagnetics Laboratory, Department of ECE, McMaster University, Dec 2003.

◈         Y. Rickard, “Improved absorbing boundary conditions for time-domain methods in electromagnetics and photonics,” Internal Report, Computational Electromagnetics Laboratory and Photonics Laboratory, Department of ECE, McMaster University, November 2001.

◈         Y. Rickard, “Method of moments on triangular grids for arbitrary-shaped integrated antennas”, Internal Report, Antenna Group at Communication Research Laboratory, Department of ECE, McMaster University, Jan 2000.

◈         Y. Rickard, “Theory and implementation of Berger-Oliger algorithm for adaptive mesh refinement for time-dependent partial differential equations”, Internal Report, Antenna Group at Communication Research Laboratory, Department of ECE, McMaster University, May 1999.

◈         Y. Rickard, “Modeling the excitation of 3-dimensional longitudinally-uniform microwave structures by 2-dmensional Finite-Difference Time-Domain algorithm”, pp.1-30, November 1998, Final Report and software submitted to Com Dev International.

◈         Y. Rickard, J. Litva,  ”Modeling of integrated multilayer microwave circuits by Finite-Difference Time-Domain algorithm using non-uniform grids and modified perfect matching layer”, pp.1-77, July 1998, Final Report and software submitted to Com Dev International.

◈       Y. Rickard, “New trends in the computer aided analysis of integrated microwave multilayer circuits and antennas including VLSI packaging and EMI problems: Domain Decomposition Method, Adaptive Mesh Refinement, Wavelets”, Internal Report, Antenna Group at Communication Research Laboratory, Department of ECE, McMaster University, January 1998. 

D. Theses

◈         Y.S. Rickard, “Improved Absorbing Boundary Conditions for Time-Domain Methods in Electromagnetics,” Ph.D. thesis, Department of Electrical and Computer Engineering, McMaster University, 2002 (pdf)

◈         Y.S. Rickard, “An Efficient Wavelet-Based Solution of Electromagnetic Field Problems,” M.Sc. thesis, Department of Mathematics and Statistics, McMaster University, 1997.

◈         Y.S. Zviskova, “Transceiver Based on Gunn Diode,” M.Sc. thesis, Department of Radioelectronics, Technical University of Sofia, Bulgaria, 1976.