Hyperlens Mode Propagation: 2D Field Map

A metamaterial hyperlens carries sub-wavelength (evanescent) detail past the diffraction limit by giving alternating nanometre-thick metal/dielectric layers a hyperbolic dispersion relation — radial and tangential permittivity of opposite sign. This simulator solves that mechanism directly in 2D polar coordinates: two object points at the inner radius are decomposed into cylindrical angular harmonics, and each harmonic is propagated outward through its own local dispersion relation — capped (evanescent) in ordinary vacuum, uncapped (propagating) inside the hyperbolic shell. The rendered field is the actual summed wave, not a static illustration, and the readouts track which angular mode number represents the real feature spacing, whether that mode is evanescent or propagating in vacuum at the object radius versus the image radius, and how many layer pairs the effective-medium approximation needs to stay valid at that spatial frequency.