Complex Refraction Metasurfaces for Locally Enhanced Propagation Through Opaque Media

Sinuhé Perea-Puente, Francisco J. Rodríguez-Fortuño*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Metasurfaces with linear phase gradients can redirect light beams. Controlling both phase and amplitude of a metasurface is proposed to extend Snell's law to the realm of complex angles, enabling a non-decaying transmission through opaque media with complex refractive indices. This leads to the discovery of non-diffracting and non-decaying solutions to the wave equation in opaque media, in the form of generalized cosine and Bessel-beams with a complex argument. While these solutions present nonphysical exponentially growing side tails, this is addressed via a windowing process, removing the side tails of the field profile while preserving significant transmission enhancement through an opaque slab on a small localized region. Such refined beam profiles may be synthesized by passive metasurfaces with phase and amplitude control at the opaque material's interface. The findings, derived from rigorous solutions of the wave equation, promise new insights and enhanced control of light propagation in opaque media.

Original languageEnglish
Article number2300867
JournalLaser and Photonics Reviews
Issue number5
Early online date18 Jan 2024
Publication statusPublished - May 2024


  • bullseye metasurface
  • complex angle
  • complex Bessel beam
  • Generalized Snell Law


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