+21. R. Arrieta and C. Pérez-Arancibia, Windowed Green function method of moments for electromagnetic scattering by layered media, Submitted, 2021.

20. L. Faria, C. Pérez-Arancibia, and M. Bonnet,
General-purpose kernel regularization of boundary integral equations via density interpolation, *Computer Methods in Applied Mechanics and Engineering*, 378.113703, 2021.

+19. V. Gómez and C. Pérez-Arancibia,
On the regularization of Cauchy-type integral operators via the density interpolation method and applications. *Computer and Mathematics with Applications*, 87:107-119, 2021.

18. C. Pérez-Arancibia, C. Turc, L. Faria, and C. Sideris,
Planewave density interpolation methods for the EFIE on simple and composite surfaces, *IEEE Transactions on Antennas and Propagation*, 69(1):317-331, 2021.

*17. D. Nicholls, C. Pérez-Arancibia and C. Turc,
Sweeping preconditioners for the iterative solution of quasiperiodic Helmholtz transmission problems in layered media, *Journal of Scientific Computing*, 82(44):1-45, 2020.

+16. I. Labarca, L. Faria and C. Pérez-Arancibia,
Convolution quadrature methods for time-domain scattering from unbounded penetrable interfaces, *Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences*, 2019.0029, 2019.

15. C. Pérez-Arancibia, C. Turc and L. Faria,
Planewave density interpolation methods for 3D Helmholtz boundary integral equations, *SIAM Journal on Scientific Computing*, 41(4):A2065-A2087, 2019.

*14. C. Pérez-Arancibia, S. Shipman, C. Turc and S. Venakides,
Domain decomposition for quasi-periodic scattering by layered media via robust boundary-integral equations at all frequencies,
*Communications in Computational Physics*, 26:265-310, 2019.

13. C. Pérez-Arancibia, L. Faria and C. Turc,
Harmonic density interpolation methods for high-order evaluation of Laplace layer potentials in 2D and 3D,
*Journal of Computational Physics*, 376:411-434, 2019.

12. R. Pestourie, C. Pérez-Arancibia, Z. Lin, W. Shin, F. Capasso and S. G. Johnson,
Inverse design of large-area metasurfaces,
*Optics Express*, 26(23), 2018.

11. C. Pérez-Arancibia, R. Pestourie and S. G. Johnson,
Sideways adiabaticity: beyond ray optics for slowly varying metasurfaces,
*Optics Express*, 26(23):335299, 2018.

10. C. Pérez-Arancibia, E. Godoy and M. Durán,
Modeling and simulation of an acoustic well stimulation method,
*Wave Motion*, 77: 214-228, 2018.

9. C. Pérez-Arancibia,
A plane-wave singularity subtraction technique for the classical Dirichlet and Neumann combined field integral equations,
*Applied Numerical Mathematics*, 123:221-240, 2018.

*8. C. Jerez-Hanckes, C. Pérez-Arancibia and C. Turc,
Multitrace/singletrace formulations and Domain Decomposition Methods for the solution of Helmholtz transmission problems for bounded composite scatterers,
*Journal of Computational Physics*, 350:343-360, 2017.

*7. O. P. Bruno, E. Garza-Gonzalez and C. Pérez-Arancibia,
Windowed Green Function method for nonuniform open-waveguide problems,
*IEEE Transactions on Antennas and Propagation*, 65(9):4684-4692, 2017.

*6. O. P. Bruno and C. Pérez-Arancibia,
Windowed Green Function method for the Helmholtz equation in presence of multiply layered media,
*Proceedings of the Royal Society A: Mathematical, Physical and Egineering Sciences*, 473(2202), 2017.

*5. O. P. Bruno, M. Lyon, C. Pérez-Arancibia and C. Turc,
Windowed Green Function method for layered-media scattering,
*SIAM Journal on Applied Mathematics*, 76(5):1871–1898, 2016.

4. C. Pérez-Arancibia, P. Zhang, O. P. Bruno and Y. Y. Lau,
Electromagnetic power absorption due to bumps and trenches on flat surfaces,
*Journal of Applied Physics*, 16(124904), 2014.

3. C. Pérez-Arancibia and O. P. Bruno,
High-order integral equation methods for problems of scattering by bumps and cavities on half-planes,
*Journal of The Optical Society of America A*, 31(8):1738-1746, 2014.

2. C. Pérez-Arancibia, P. Ramaciotti, R. Hein and M. Durán,
Fast multipole boundary element method for the Laplace equation in a locally perturbed half-plane with a Robin boundary condition,
*Computer Methods in Applied Mechanics and Engineering*, 233(1):152-163, 2012.

1. C. Pérez-Arancibia and M. Durán,
On the Green’s function for the Helmholtz operator in an impedance circular cylindrical waveguide,
*Journal of Computational and Applied Mathematics*, 235(1):244-262, 2010.

Conference (Peer Reviewed) Papers

2. J. Hu, E. Garza, C. Pérez-Arancibia and C. Sideris. High-Order accurate integral equation based mode solver for layered nanophotonic waveguides. International Microwave Symposium, 6–11 June 2021, Atlanta, GA, USA.

1. C. Pérez-Arancibia and O. P. Bruno. A high-order integral equation solver for problems of electromagnetic scat- tering by three-dimensional open surfaces. WAVES 2015: The 12th International Conference on Mathematical and Numerical Aspects of Wave Propagation, 20–24 July 2015, Karlsruhe, Germany.

Theses

C. Pérez-Arancibia, Windowed integral equation methods for problems of scattering by defects and obstacles in layered media. Ph.D. Thesis, California Institute of Technology, August 2016.

C. Pérez-Arancibia, Modeling and simulation of time-harmonic wave propagation in cylindrical impedance guides: Application to an oil well stimulation technology. Master's Thesis, Pontificia Universidad Católica de Chile, May 2010.

Posters and Presentations

C. Pérez-Arancibia and Catalin Turc, A high-order singularity subtraction method for the Nystrom discretization of boundary integral equations, Santiago Numérico III, Santiago, Chile, June-28-30, 2017.

C. Pérez-Arancibia. Windowed Green Function Method: An Efficient High-Order Integral Equation Method for Scattering in Layered Media. Seminar on Numerical Methods for Partial Differential Equation , MIT, Cambridge, MA, April 19 (invited talk).

C. Pérez-Arancibia. Windowed Green Function Method: An Efficient High-Order Integral Equation Method for Scattering in Layered Media. 10th International Conference on Scientific Computing and Applications, Field Institute, Toronto, Canada, June 6-10 (invited talk).

C. Pérez-Arancibia. Windowed Green Function Method: An Efficient High-Order Integral Equation Method for Scattering in Layered Media. FACM 2016, Newark, NJ, June 3-4 (invited talk).

C. Pérez-Arancibia. Windowed Green Function Method: An Efficient High-Order Integral Equation Method for Scattering in Layered Media, Applied and Computational Mathematics Seminar, University of California, Irvine, CA, February 22, 2016 (invited talk).

C. Pérez-Arancibia. Windowed Green Function Method: An Efficient High-Order Integral Equation Method for Scattering in Layered Media, University of California Merced, CA, February 2, 2016 (invited talk).

C. Pérez-Arancibia and O. P. Bruno. A High-Order Integral Equation Solver for Problems of Electromagnetic Scattering by Three-Dimensional Open Surfaces. WAVES 2015, Karlsruhe, Germany, July 20-24, 2015.

O. P. Bruno and C. Pérez-Arancibia. Efficient high-order integral equation methods for problems of scattering by defects in layered media. The 2015 AMMCS-CAIMS Congress , Waterloo, Ontario, Canada, June 7-12, 2015.

C. Pérez-Arancibia and O. P. Bruno. Electromagnetic Power Absorption and Plasmon Resonances on Rough Conducting Surfaces. 2015 SIAM Conference on Computational Science and Engineering, Salt Lake City, Utah, March 14-18, 2015.

C. Pérez-Arancibia, E. Akhmetgaliyev and O. P. Bruno. Use of non-invertible integral formulations in scattering theory and applications. International Conference on Spectral and High Order Methods ICOSAHOM 2014, Salt Lake City, Utah, June 23-27, 2014.

C. Pérez-Arancibia. Wave propagation in impedance cylindrical waveguides: Application to an acoustic well stimulation technology. Valparaíso’s Mathematics and its Applications Days, Pontificia Universidad Católica de Valparaiso, December 12-14, 2012.

C. Pérez-Arancibia. Exact non-reflecting boundary conditions for time-harmonic wave propagation in impedance cylindrical guides. NSF Workshop on the BEM, University of Minnesota, April 23-26, 2012.