1. Gibson, I., D. W. Rosen, and B. Stucker, Additive Manufacturing Technologies: Rapid Prototyping, Springer, 2010.
doi:10.1007/978-1-4419-1120-9
2. Carranza, G. T., U. Robles, C. L. Valle, J. J. Gutierrez, and A. R. C. Rumpf, "Design and hybrid additive manufacturing of 3-D/volumetric electrical circuits," IEEE Transactions on Components, Packaging and Manufacturing Technology, Vol. 9, 1176-1183, 2016.
doi:10.1109/TCPMT.2019.2892389 Google Scholar
3. Rumpf, R. and J. Pazos, "Synthesis of spatially variant lattices," Optics Express, Vol. 20, No. 14, 15263-15274, 2012.
doi:10.1364/OE.20.015263 Google Scholar
4. Garcia, C., 3D printed spatially variant anisotropic metamaterials, Ph.D. Dissertation, University of Texas at El Paso, El Paso, 2014.
5. Pazos, J. J., Digitally manufactured spatially variant photonic crystals, Ph.D. Dissertation, University of Texas at El Paso, El Paso, 2014.
6. Berry, E. A., A spatially variant metamaterial design process for transformation electromagnetic devices, Ph.D. Dissertation, University of Texas at El Paso, El Paso, December 2016.
7. Gutierrez, J. J., Independent and simultaneous control of electromagnetic wave properties in self-collimating photonic crystals using spatial variance, Ph.D. Dissertation, University of Texas at El Paso, El Paso, 2020.
8. Rumpf, R. C., C. Garcia, H. Tsang, J. Padilla, and M. Irwin, "Electromagnetic isolation of a microstrip by embedding in a spatially variant anisotropic metamaterial," Progress In Electromagnetics Research, Vol. 142, 243-260, 2013.
doi:10.2528/PIER13070308 Google Scholar
9. Rumpf, R. C., J. Pazos, C. R. Garcia, L. Ochoa, and R. Wicker, "3D printed lattices with spatially variant self-collimation," Progress In Electromagnetics Research, Vol. 139, 1-14, 2013.
doi:10.2528/PIER13030507 Google Scholar
10. Digaum, J. L., J. J. Pazos, J. Chiles, J. D'Archangel, G. Padilla, A. Tatulian, R. C. Rumpf, S. Fathpour, G. D. Boreman, and A. S. M. Kuebler, "Tight control of light beams in photonic crystals with spatially-variant lattice orientation," Optics Express, Vol. 22, No. 21, 25788-25804, 2014.
doi:10.1364/OE.22.025788 Google Scholar
11. Kuebler, S. M., J. L. Digaum, J. Pazos, J. Chiles, G. Padilla, A. Tatulian, R. C. Rumpf, and S. Fathpour, Controlling light using three-dimensional spatially variant self-collimating photonic crystals, Optical Society of America, 2014.
12. Digaum, J. L., R. Sharma, J. J. Pazos, R. C. Rumpf, and S. M. Kuebler, Tight control of light beams in photonic crystals with spatially-variant unit cells, Optical Society of America, 2015.
13. Rumpf, R. C., J. J. Pazos, J. L. Digaum, and S. M. Kuebler, "Spatially-variant periodic structures in electromagnetics," Phil. Trans. R. Soc. A, Vol. 373, 2015. Google Scholar
14. Leonhardt, U. and T. Philbin, Geometry and Light: The Science of Invisibility, Courier Corporation, 2012.
15. Pendry, J. B., D. Schurig, and D. R. Smith, "Controlling electromagnetic fields," Science, Vol. 312, 1780-1782, 2006.
doi:10.1126/science.1125907 Google Scholar
16. Gulib, A. U. H., Numerical calculation of spatially variant anisotropic metamaterials, Masters Thesis, University of Texas at El Paso, El Paso, 2016.
17. Community, B. O., Blender-free and open 3D creation software, Blender Foundation, [Online], Available: https://www.blender.org/, [Accessed April 2020].
18. Avila, J. A., C. L. Valle, E. Bustamante, and R. C. Rumpf, "Optimization and characterization of negative uniaxial metamaterials," Progress In Electromagnetics Research C, Vol. 74, 111-121, 2017.
doi:10.2528/PIERC17030906 Google Scholar
19. Rumpf, R. C., "Chapter three --- Engineering the dispersion and anisotropy of periodic electromagnetic structures," Solid State Physics, 213-300, 2015.
doi:10.1016/bs.ssp.2015.02.002 Google Scholar
20. Rumpf, R. C., Electromagnetic and Photonic Simulation for the Beginner: Finite-Difference Frequency-Domain in MATLAB, Artech House, 2022.
21. Rumpf, R. C., "Simple implementation of arbitrarily shaped total-field/scattered-field regions in finite-difference frequency-domain," Progress In Electromagnetics Research B, Vol. 36, 221-248, 2012.
doi:10.2528/PIERB11092006 Google Scholar
22. Berry, E. A., J. Gutierrez, and R. C. Rumpf, "Design and simulation of arbitrarily-shaped transformation optic devices using a simple finite-difference method," Progress In Electromagnetics Research B, Vol. 68, 1-16, 2016.
doi:10.2528/PIERB16012007 Google Scholar
23. Gulib, A. U. H., Algorithms for exploration of advanced electromagnetic concepts, Ph.D. Dissertation, University of Texas at El Paso, El Paso, August 2022.
24. Jacobson, A., D. Panozzo, and Others, Libigl --- Simple C++ geometry processing library, [Online], Available: https://libigl.github.io/.
25. Dirichlet, G. L., "Uber die Reduktion der positiven quadratischen Formen mit," J. Reine Angew. Math., Vol. 40, 209-227, 1850. Google Scholar
26. Voronoi, G., "Deuxieme memoire: Recherches sur les paralleloedres primitifs," J. Reine Angew. Math., Vol. 136, 67-181, 1909.
doi:10.1515/crll.1909.136.67 Google Scholar
27. Voronoi, G., "Nouvelles applications des parametres continus a la theorie des formes quadratiques, deuxieme Memoire: Recherches sur les parallello'edres primitifs," J. Reine Angew. Math., Vol. 134, 198-287, 1908.
doi:10.1515/crll.1908.134.198 Google Scholar
28. Souvaine, D., M. Horn, and J. Weber, , 2005, [Online], Available: http://www.cs.tufts.edu/comp/163/notes05/voronoi handout.pdf, [Accessed 2021].
29. Hu, Y., Q. Zhou, X. Gao, A. Jacobson, D. Zorin, and D. Panozzo, "Tetrahedral meshing in the wild," ACM Trans. Graph., Vol. 37, 60:1-60:14, August 2018. Google Scholar
30. Treece, G., R. Prager, and A. H. Gee, "Regularised marching tetrahedra: Improved iso-surface extraction," Computers & Graphics, Vol. 23, No. 4, 583-598, 1999.
doi:10.1016/S0097-8493(99)00076-X Google Scholar
31. Moldovan, W. J., J. Rhinelander, and Dean, "Pybind11 --- Seamless operability between C++11 and Python,", 2017, [Online], Available: https://github.com/pybind/pybind11. Google Scholar