Data fields:

best_spherical_inverse_curvature: The reciprocal central radius of the plano-concave cavity whose Gaussian mode focusses most strongly on the emitter (inline equation before Eq. (9)). Units: inverse metres
spherical_cint_limit: The highest C_{int}^{0} available to a plano-concave cavity with spherical mirrors, according to Eq. (10). Units: dimensionless

gaussian_inverse_radii: The reciprocal of the central radius of curvature parameter of the Gaussian mirror at which the cavity performance was sampled. A 2D array. Units: inverse metres
gaussian_waists: The waist parameter of the Gaussian mirror at which the cavity performance was sampled. A 2D array. Units: metres
gaussian_cints: The C_{int}^{0} of the sampled Gaussian mirrors. A 2D array. The arrays are structured such that gaussian_cints[i,j] is the C_{int}^{0} of the cavity with central radius of curvature 1/(gaussian_inverse_radii[i,j]) and waist gaussian_waists[i,j]. Units: dimensionless
gaussian_example_inverse_radius: The reciprocal central radius of curvature for the example Gaussian mirror of Fig. Units: inverse metres
gaussian_example_waist: The waist of the example Gaussian mirror in Fig. 2. Units: metres


dual_curvature_example_sigmoid_width: The sigmoid width of the example dual curvature mirror in Fig. 2, and also the sigmoid width used in the radii scan of this figure. Units: metres
dual_curvature_example_sigmoid_centre_radius: The sigmoid centre radius of the example dual curvature mirror in Fig. 2, and also the sigmoid centre radius used in the radii scan of this figure. Units: metres
dual_curvature_central_inverse_radii: The reciprocal of the central radius of curvature parameter of the dual curvature mirror at which the cavity performance was sampled. A 2D array. Units: inverse metres
dual_curvature_outer_inverse_radii: The reciprocal of the outer radius of curvature parameter of the dual curvature mirror at which the cavity performance was sampled. A 2D array. Units: inverse metres
dual_curvature_radii_scan_cint: The C_{int}^{0} of the sampled dual curvature mirrors in the radius scan. A 2D array. The arrays are structured such that dual_curvature_radii_scan_cint[i,j] is the C_{int}^{0} of the cavity with central radius of curvature 1/(dual_curvature_central_inverse_radii[i,j]), outer radius of curvature 1/(dual_curvature_outer_inverse_radii[i,j]), sigmoid width of dual_curvature_example_sigmoid_width, and sigmoid centre radius of dual_curvature_example_sigmoid_centre_radius. Units: dimensionless

dual_curvature_example_central_inverse_radius: The central inverse radius of the example dual curvature mirror in Fig. 2, and also the central inverse radius used in the radii scan of this figure. Units: inverse metres
dual_curvature_example_outer_inverse_radius: The outer inverse radius of the example dual curvature mirror in Fig. 2, and also the outer inverse radius used in the radii scan of this figure. Units: inverse metres
dual_curvature_sigmoid_widths: The sigmoid width parameter of the dual curvature mirror at which the cavity performance was sampled. A 2D array. Units: metres
dual_curvature_sigmoid_centres: The sigmoid centre radius parameter of the dual curvature mirror at which the cavity performance was sampled. A 2D array. Units: metres
dual_curvature_sigmoid_scan_cint: The C_{int}^{0} of the sampled dual curvature mirrors in the sigmoid scan. A 2D array. The arrays are structured such that dual_curvature_radii_scan_cint[i,j] is the C_{int}^{0} of the cavity with central radius of curvature dual_curvature_example_central_inverse_radius, outer radius of curvature dual_curvature_example_outer_inverse_radus, sigmoid width of dual_curvature_sigmoid_widths[i,j], and sigmoid centre radius of dual_curvature_sigmoid_centres[i,j]. Units: dimensionless


Figure plots: 
a:
Heat map: gaussian_cints plotted against gaussian_inverse_radii (x) and gaussian_waists (y)
Contour: contour of gaussian_cints at the level of spherical_cint_limit
Black vertical line: best_spherical_inverse_curvature
Black cross: x = gaussian_example_inverse_radius, y = gaussian_example_waist

b:
Heat map: dual_curvature_radii_scan_cint plotted against dual_curvature_central_inverse_radii (x) and dual_curvature_outer_inverse_radii (y)
Contour: contour of dual_curvature_radii_scan_cint at the level of spherical_cint_limit
Black vertical and horizontal lines: best_spherical_inverse_curvature
Black cross: x = dual_curvature_example_central_inverse_radius, y = dual_curvature_example_outer_inverse_radius

c:
Heat map: dual_curvature_sigmoid_scan_cint plotted against dual_curvature_sigmoid_widths (x) and dual_curvature_sigmoid_centres (y)
Contour: contour of dual_curvature_sigmoid_scan_cint at the level of spherical_cint_limit
Black cross: x = dual_curvature_example_sigmoid_width, y = dual_curvature_example_sigmoid_centre_radius
