We have moved and this site is no longer being updated as of 9/30/2020. Visit our new lab webpage at: LINK .
Education
Ph.D. Electrical Engineering and Computer Science
University of Michigan, Ann Arbor, MI, USA Thesis: Computational Electromagnetics Methods for
Transcranial Magnetic Stimulation
M.S. Electrical Engineering and Computer Science
M.S. Applied Mathematics
University of Michigan, Ann Arbor, MI, USA
B.S. Electrical Engineering
B.S. Mathematics
University of Florida, Gainesville, Fl
L. J. Gomez, M. Dannhauer, L. M. Koponen and A. Peterchev, "Conditions for numerically accurate TMS electric field simulation," Brain Stimulation: Basic, Translational, and Clinical
Research in Neuromodulation, vol. 13, no. 1, pp. 157-166, 2020.
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C, Zhuotong, L. J. Gomez, S. Zheng, A. C. Yucel, Z. Zhang, O. Okhmatovski, "Sparsity Aware Pre-Corrected Tensor Train Algorithm For Fast Solution of 2D Scattering Problems and Current Flow Modelling on Unstructured Meshes," Transactions on Microwave Theory and Techniques, vol. 67, no. 12, 2019.
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L. J. Gomez, S. Goetz, and A. V. Peterchev, "Design of Transcranial Magnetic Stimulation Coils with Optimal Trade-off between Depth, Focality, and Energy," Journal of neural engineering, 2018.
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B. Wang, Z. Deng, J. Smith, J. Tharayil, C. Gurrey, L. J. Gomez, A. Peterchev, "Redesigning existing transcranial magnetic stimulation coils to reduce energy: application to low field magnetic stimulation," Journal of neural engineering, 2018.
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A. C. Yucel, L. J. Gomez, and E. Michielssen, "Internally Combined Volume-Surface Integral Equation for EM Analysis of Inhomogeneous Negative Permittivity Plasma Scatterers," IEEE Transactions on Antennas and Propagation, vol. 66, no. 4, pp. 1903-1913, 2018.
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L. J. Gomez, A. C. Yücel, and E. Michielssen, "The ICVSIE: A General Purpose Integral Equation Method for Bio-Electromagnetic Analysis," IEEE Transactions on Biomedical Engineering, vol. 65, no. 3, pp. 565-574, 2018.
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A. C. Yucel, L. J. Gomez, and E. Micielssen, "Compression of Translation Operator Tensors in FMM-FFT Accelerated SIE Solvers via Tucker Decomposition," IEEE Antennas and Wireless Propagation Letters, vol. 16,pp. 2667-2670, 2017.
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L. J. Gomez, A. C. Yucel, and E. Michielssen, "Internally Combined Volume-Surface Integral Equation for a 3D Electromagnetic Scattering Analysis of High Contrast Media," IEEE Antennas and Wireless Propagation Letters, vol. 16, pp. 1691-1694, 2017.
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L. J. Gomez, A. C. Yücel, and E. Michielssen, "Volume-surface combined field integral equation for plasma scatterers," IEEE Antennas and Wireless Propagation Letters, vol. 14, pp. 1064-1067, 2015.
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L. J. Gomez, A. C. Yücel, and E. Michielssen, "Low-frequency stable internally combined volume-surface integral equation for high-contrast scatterers," IEEE Antennas and Wireless Propagation Letters, vol. 14, pp. 14231426, 2015.
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L. J. Gomez, A. C. Yücel, L. Hernandez-Garcia, S. F. Taylor, and E. Michielssen, "Uncertainty quantification in transcranial magnetic stimulation via high-dimensional model representation," IEEE Transactions on Biomedical Engineering, vol. 62, no. 1, pp. 361-372, 2015.
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L. J. Gomez, F. Cajko, L. Hernandez-Garcia, A. Grbic, and E. Michielssen, " Numerical Analysis and Design of Single-Source Multicoil TMS for Deep and Focused Brain Stimulation," IEEE Trans. Biomed. Eng., vol. 60, no. 10, pp. 2771-82, October 2013
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L. Hernandez-Garcia, T. Hall, L. J. Gomez, and E. Michielssen, "A numerically optimized active shield for
improved transcranial magnetic stimulation targeting," Brain Stimulation: Basic, Translational, and Clinical
Research in Neuromodulation, vol. 3, no. 4, pp. 218-225, 2010.
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Unpublished pre-prints
L. J. Gomez, M. Dannhauer and A. Peterchev, "Fast computational optimization of TMS coil placement for individualized electric field targeting," (In preparation/pre-print available)
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Conference Publications
L. J. Gomez , W. Sheng, A. Yucel, E. Michielssen, "Fast Statistical Characterization of Rough Surface Scattering via Tensor Train Decompositions," Antennas and Propagation Society International Symposium (APSURSI), July 2016
L. J. Gomez , N. Dalal, A. Yucel, R. Villegas, L. Honglak, E. Michielssen, "Deep Learning Augmented Inverse Scattering Algorithm," Antennas and Propagation Society International Symposium (APSURSI), July 2016
A. Yucel, L. J. Gomez , E. Michielssen, "An Internally Combined Volume-Surface Integral Equation for 3D
Plasma Scatterers," Antennas and Propagation Society International Symposium (APSURSI), July 2015
A. Yucel, L. J. Gomez , E. Michielssen, "Tucker Decomposition for Compressing Translation Operator Tensors in FMM-FFT Accelerated SIE Solvers," Antennas and Propagation Society International Symposium (APSURSI), July 2015
L. J. Gomez , A. Yucel, E. Michielssen, " Low-Frequency Stable Internally Combined Volume-Surface Integral Equation for 3D High-Contrast Scatterers," Antennas and Propagation Society International Symposium (APSURSI), July 2015
A. Yucel, L. J. Gomez , E. Michielssen, "An Internally Combined Volume-Surface Integral Equation for 3D Plasma Scatterers," Antennas and Propagation Society International Symposium (APSURSI), July 2015
A. Yucel, L. J. Gomez , E. Michielssen, "Tucker Decomposition for Compressing Translation Operator Tensors in FMM-FFT Accelerated SIE Solvers," Antennas and Propagation Society International Symposium (APSURSI), July 2015
A. Yucel, L. J. Gomez , Y. Liu, H. Bagci, E. Michielssen, " A FMM-FFT Accelerated Hybrid Volume Surface Integral Equation Solver for Electromagnetic Analysis of Re-Entry Space Vehicles," Antennas and Propagation Society International Symposium (APSURSI), July 2014
L. J. Gomez , A. Yucel, E. Michielssen, " Sensitivity of TMS-Induced Electric Fields to the Uncertainty in Coil Placement and Brain Anatomy," Antennas and Propagation Society International Symposium (APSURSI), July 2014
L. J. Gomez , A. Yucel, E. Michielssen, " A Well-Conditioned Volume-Surface Combined Field Integral Equation (VSCFIE) for Inhomogeneous Scatterers with Negative Permittivities," Antennas and Propagation Society International Symposium (APSURSI), July 2014
L. J. Gomez , A. Yucel, L. Hernandez, E. Michielssen, " Uncertainty Quantification in Transcranial Magnetic Stimulation," Antennas and Propagation Society International Symposium (APSURSI), July 2013
L. J. Gomez , E. Michielssen, " A Well-Conditioned Volume-Surface Field Integral Equation (VSCFIE) for Inhomogeneous Cylindrical Scatterers with High-Electrical Contrasts," Antennas and Propagation Society International Symposium (APSURSI), July 2013
L. J. Gomez , L. Hernandez, A. Grbic, E. Michielssen, " Single-Source Multi-Coil Transcranial Magnetic Stimulators for Deep and Focused Stimulation of the Human Brain," Antennas and Propagation Society International Symposium (APSURSI), July 2013
F. Cajko, E. Michielssen, L. J. Gomez , P. G. Martinsson, L. Hernandez, "A fast direct solver for TMS analysis and design in 3D," Antennas and Propagation Society International Symposium (APSURSI), July 2011
L. J. Gomez , L. Hernandez, A. Grbic, E. Michielssen, "Focused multi-coil transcranial magnetic stimulation," Antennas and Propagation Society International Symposium (APSURSI), July 2011
F. Cajko, E. Michielssen, L. J. Gomez , P. G. Martinsson, L. Hernandez, " A Fast Direct Solver for Transcranial Magnetic Stimulation Analysis," Antennas and Propagation Society International Symposium (APSURSI), July 2010
L. J. Gomez , L. Hernandez, A. Grbic, E. Michielssen, "A simulation of focal brain stimulation using metamaterial lenses," Antennas and Propagation Society International Symposium (APSURSI), July 2010