'' is a repository to study asymptotic exceptional points in large systems of subwavelength resonators.
Please cite the following reference when using this source:
[1] Ammari H, Davies B, Hiltunen E O, Lee H & Yu s. 2021 High-order exceptional points and enhanced sensing in subwavelength resonator arrays. Studies in Applied Mathematics 146: 440--462 (https://doi.org/10.1111/sapm.12349)
This code studies the dilute weighted capacitance matrix, using the approximation for the capacitance coefficients (Lemma 1 in [1]) given by:
highEPs/dilute/Cd1v.m generates the dilute capacitance matrix.
highEPs/dilute/RUN_EPdilute.m searches for parameter values that give an exceptional point of the dilute capacitance matrix. This was used to generate Figures 2 and 5 in [1].
highEPs/dilute/RUN_EP_tau.m computes how the eigenvalues of the dilute capacitance matrix vary in a region of the exceptional point (which occurs when ). This was used to generate Figure 3 in [1].
highEPs/multipole/RUN_EP_tau.m computes how the resonant frequencies vary in a region of the asymptotic exceptional point (which occurs when ). This uses the multipole expansion method and was used to generate Figure 4 in [1].
highEPs/multipole/RUN_EP_modeplot.m computes the eigenmodes of the full differential system at the exceptional point, using the multipole expansion method. This was used to generate Figure 6 in [1].