Publications

Journal Publications

(G), (PD), and (UG) denote graduate students, postdoctoral associates, and undergraduate students in our lab.

Preprints and Papers Under Review

V. Sabino (G), A. J. Walenciak (G), and L. J. Gomez, "A Bidomain Boundary Element-Cable Method for Modeling Neuronal Responses to Electric Fields," Journal of Neural Engineering, under review.

R. Esparza-Rivera (G) and L. J. Gomez, "Heat-Equation-Based Generation of Spatially Correlated Rough Surfaces on Arbitrary Meshes for Electromagnetic Scattering," IEEE Transactions on Antennas and Propagation, under review.

R. Esparza-Rivera (G) and L. J. Gomez, "Stochastic PDE Approach to Rough Surface Representation in Electromagnetic Scattering Modeling," TechRxiv, 2026. Preprint: link

S. S. Vaezi (G), L. J. Gomez, and W. C. Chew, "Strategies for Fast Broadband and High-Contrast Stable Acoustic Volume Integral Equation Analysis," TechRxiv, 2025. Preprint: link

A. Castillo Jimenez (G), L. Castillo, and L. J. Gomez, "Machine Learning Approaches for Electroencephalography (EEG) Analysis in Repetitive Transcranial Magnetic Stimulation (rTMS) Response Classification," Scientific Reports, under review.

2026

Z. Jia (PD), L. J. Gomez, W. C. Chew, A. Peng, and R. Goossens, "Efficient Fullwave-Guided Optical Proximity Correction," AIP Advances, vol. 16, no. 9, 2026. link

N. I. Hasan (G), V. Sabino (G), A. J. Walenciak (G), Y. Liu, and L. J. Gomez, "Modeling Pyramidal Neurons Using Bidomain Boundary Element Method (BEM) and Hierarchical Matrix Approximation," IEEE Journal of Electromagnetics, RF, and Microwaves in Medicine and Biology, 2026. link

A. Abdrabou (PD) and L. J. Gomez, "A Hybrid DEC-SIE Framework for Potential-Based Electromagnetic Analysis of Heterogeneous Media," Journal of Computational Physics, vol. 553, pp. 114726, 2026. link

L. J. Gomez, D. L. K. Murphy, L. M. Koponen, R. Hamdan, Y. Li, E. Wood, J. Golden, N. Bukhari-Parlakturk, S. M. Goetz, and A. V. Peterchev, "Optimization, Implementation, and Performance of TMS Coils with Maximum Focality and Various Stimulation Depths," Journal of Neural Engineering, vol. 23, no. 2, pp. 026001, 2026. link

V. Sabino (G), A. Murugesan (PD), N. I. Hasan (G), S. S. Vaezi (G), A. Walenciak (G), P. Jayatissa (UG), and L. J. Gomez, "Advances in Computational Electromagnetics for Enhanced Noninvasive Brain Stimulation: E-Field Dosimetry, Uncertainty Quantification, Optimization, and Neural Response Modeling," IEEE Antennas and Propagation Magazine, vol. 68, no. 2, pp. 22-34, 2026 (invited). link

2025

N. I. Hasan (G), M. Dannhauer, D. Wang (PD), Z.-D. Deng, and L. J. Gomez, "Real-Time Computation of Brain E-Field for Enhanced Transcranial Magnetic Stimulation Neuronavigation and Optimization," Imaging Neuroscience, vol. 3, 2025. link

2024

S. S. Vaezi (G) and L. J. Gomez, "Novel Volume Integral Equation Approach for Low-Frequency E-Field Dosimetry of Transcranial Magnetic Stimulation," IEEE Transactions on Magnetics, vol. 60, no. 12, 2024. link

D. M. Czerwonky (G), A. S. Aberra, and L. J. Gomez, "A Boundary Element Method of Bidomain Modeling for Predicting Cellular Responses to Electromagnetic Fields," Journal of Neural Engineering, vol. 21, no. 3, pp. 036050, 2024. link

N. Goswami, M. Shen, L. J. Gomez, M. Dannhauer, M. A. Sommer, and A. V. Peterchev, "A Semi-Automated Pipeline for Finite Element Modeling of Electric Field Induced in Nonhuman Primates by Transcranial Magnetic Stimulation," Journal of Neuroscience Methods, vol. 408, pp. 110176, 2024. link

R. Appiah, V. Pulletikurthi, H. A. Esquivel-Puentes, C. Cabrera, N. I. Hasan (G), S. Dharmarathne, L. J. Gomez, and L. Castillo, "Brain Tumor Detection Using Proper Orthogonal Decomposition Integrated with Deep Learning Networks," Computer Methods and Programs in Biomedicine, vol. 250, pp. 108167, 2024. link

M. Dannhauer, L. J. Gomez, P. L. Robins, D. Wang (PD), N. I. Hasan (G), A. Thielscher, H. R. Siebner, Y. Fan, and Z.-D. Deng, "Electric Field Modeling in Personalizing Transcranial Magnetic Stimulation Interventions," Biological Psychiatry, vol. 95, no. 6, pp. 494-501, 2024 (invited). link

2023

N. I. Hasan (G), D. Wang (PD), and L. J. Gomez, "Fast and Accurate Computational E-Field Dosimetry for Group-Level Transcranial Magnetic Stimulation Targeting," Computers in Biology and Medicine, vol. 167, pp. 107614, 2023. link

X. Jia, S. B. Sayed, N. I. Hasan (G), L. J. Gomez, G. Huang, and A. C. Yucel, "DeeptDCS: Deep Learning-Based Estimation of Currents Induced During Transcranial Direct Current Stimulation," IEEE Transactions on Biomedical Engineering, vol. 70, no. 4, pp. 1231-1241, 2023. link

D. Wang (PD), N. I. Hasan (G), M. Dannhauer, A. C. Yucel, and L. J. Gomez, "Fast Computational E-Field Dosimetry for Transcranial Magnetic Stimulation Using Adaptive Cross Approximation and Auxiliary Dipole Method (ACA-ADM)," NeuroImage, vol. 267, pp. 119850, 2023. link

2022

S. B. Sayed, Y. Liu, L. J. Gomez, and A. C. Yucel, "A Butterfly-Accelerated Volume Integral Equation Solver for Broad Permittivity and Large-Scale Electromagnetic Analysis," IEEE Transactions on Antennas and Propagation, vol. 70, no. 5, pp. 3549-3559, 2022. link

H. Zhang, L. J. Gomez, and J. Guilleminot, "Uncertainty Quantification of TMS Simulations Considering MRI Segmentation Errors," Journal of Neural Engineering, vol. 19, no. 2, pp. 1-15, 2022. link

2021

H. Zhang, J. Guilleminot, and L. J. Gomez, "Stochastic Modeling of Geometrical Uncertainties on Complex Domains, with Applications to Additive Manufacturing and Brain Interface Geometries," Computer Methods in Applied Mechanics and Engineering, vol. 385, pp. 114014, 2021. link

M. Wang, C. Qian, E. Di Lorenzo, L. J. Gomez, V. Okhmatovski, and A. C. Yucel, "SuperVoxHenry: Tucker-Enhanced and FFT-Accelerated Inductance Extraction for Voxelized Superconducting Structures," IEEE Transactions on Applied Superconductivity, vol. 31, no. 7, pp. 1-11, 2021. link

L. J. Gomez, M. Dannhauer, and A. V. Peterchev, "Fast Computational Optimization of TMS Coil Placement for Individualized Electric Field Targeting," NeuroImage, vol. 228, pp. 117696, 2021. link

2020

L. J. Gomez, M. Dannhauer, L. M. Koponen, and A. V. 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. link

2019

Z. Chen, L. J. Gomez, S. Zheng, A. C. Yucel, Z. Zhang, and V. I. Okhmatovski, "Sparsity-Aware Precorrected Tensor Train Algorithm for Fast Solution of 2-D Scattering Problems and Current Flow Modeling on Unstructured Meshes," IEEE Transactions on Microwave Theory and Techniques, vol. 67, no. 12, pp. 4833-4847, 2019. link

2018

L. J. Gomez, S. M. Goetz, and A. V. Peterchev, "Design of Transcranial Magnetic Stimulation Coils with Optimal Trade-off between Depth, Focality, and Energy," Journal of Neural Engineering, vol. 15, no. 4, 2018. link

B. Wang, M. R. Shen, Z.-D. Deng, J. E. Smith, J. J. Tharayil, C. J. Gurrey, L. J. Gomez, and A. V. Peterchev, "Redesigning Existing Transcranial Magnetic Stimulation Coils to Reduce Energy: Application to Low Field Magnetic Stimulation," Journal of Neural Engineering, vol. 15, no. 3, pp. 036022, 2018. link

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. link

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. link

2017

A. C. Yucel, L. J. Gomez, and E. Michielssen, "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. link

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. link

2010-2016

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. link

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. 1423-1426, 2015. link

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. link

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 Transactions on Biomedical Engineering, vol. 60, no. 10, pp. 2771-2782, 2013. link

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. link

Book Chapters

A. C. Yucel, L. J. Gomez, W. Sheng, H. Bagci, and E. Michielssen, "Recent Trends in Uncertainty Quantification for Large-Scale Electromagnetic Analysis: From Tensor Product Cubature Rules to Spectral Quantic Tensor Train Approximation," in New Trends in Computational Electromagnetics (ed. O. Ergul), Institution of Engineering and Technology, pp. 1-31, 2019. link

R. J. Ilmoniemi, Z.-D. Deng, L. J. Gomez, L. M. Koponen, J. O. Nieminen, A. V. Peterchev, and C. M. Epstein, "Transcranial Magnetic Stimulation Coils," in The Oxford Handbook of Transcranial Stimulation, Second Edition, Oxford University Press, 2022. link