Different subdivisions for mesh segment
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@ -1,8 +1,8 @@
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using Plots, LinearAlgebra
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include("p_space.jl")
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berggren_mesh = get_mesh((0, 0.4 - 0.15im, 0.8, 6), 128)
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csm_mesh = get_mesh((0, 8 - 3im), 512)
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berggren_mesh = get_mesh([0, 0.4 - 0.15im, 0.8, 6], [128, 128, 128])
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csm_mesh = get_mesh([0, 8 - 3im], [512])
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for mesh in (berggren_mesh, csm_mesh)
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p, w = mesh
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@ -16,8 +16,8 @@
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"metadata": {},
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"outputs": [],
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"source": [
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"vertices = (0, 0.4 - 0.15im, 0.8, 6)\n",
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"subdivisions = 128\n",
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"vertices = [0, 0.4 - 0.15im, 0.8, 6]\n",
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"subdivisions = [128, 128, 128]\n",
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"p, w = get_mesh(vertices, subdivisions)\n",
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"mesh_E = p.*p ./ (2*0.5)\n",
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"\n",
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@ -13,11 +13,11 @@ function gausslegendre_shifted(a, b, n)
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return (p, w)
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end
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function get_mesh(vertices, subdivisions)
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function get_mesh(vertices::Vector, subdivs::Vector)
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p = Vector{ComplexF64}()
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w = Vector{ComplexF64}()
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for (a, b) in zip(vertices, vertices[2:end])
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p_new, w_new = gausslegendre_shifted(a, b, subdivisions)
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for (a, b, subdiv) in zip(vertices, vertices[2:end], subdivs)
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p_new, w_new = gausslegendre_shifted(a, b, subdiv)
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append!(p, p_new)
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append!(w, w_new)
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end
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@ -46,7 +46,7 @@ function identify_pole_i(p, evals, μ=0.5)
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end
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function quick_pole_E(V_pq, μ=0.5; cs_angle=0.4, cutoff=8.0, meshpoints=256)
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p, w = get_mesh([0, cutoff * exp(-1im * cs_angle)], meshpoints)
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p, w = get_mesh([0, cutoff * exp(-1im * cs_angle)], [meshpoints])
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evals = eigvals(get_H_matrix(V_pq, p, w, μ))
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return evals[identify_pole_i(p, evals, μ)]
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end
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@ -16,8 +16,8 @@
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"metadata": {},
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"outputs": [],
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"source": [
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"vertices = (0, 1 - 0.5im, 2, 6)\n",
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"subdivisions = 64\n",
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"vertices = [0, 1 - 0.5im, 2, 6]\n",
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"subdivisions = [64, 64, 64]\n",
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"p, w = get_mesh(vertices, subdivisions)\n",
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"\n",
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"scatter(real.(p), imag.(p))"
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@ -16,8 +16,8 @@
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"metadata": {},
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"outputs": [],
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"source": [
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"vertices = (0, 0.5 - 0.3im, 1, 6)\n",
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"subdivisions = 64\n",
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"vertices = [0, 0.5 - 0.3im, 1, 6]\n",
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"subdivisions = [64, 64, 64]\n",
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"p, w = get_mesh(vertices, subdivisions)\n",
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"\n",
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"# resonance example from my thesis\n",
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