General method for focusing of waves using phase and amplitude compensation

TL;DR

This paper introduces a comprehensive wave focusing method using phase and amplitude compensation applicable to various wave types, revealing new localized and evanescent wave phenomena and drawing an analogy with relativistic frequency transformations.

Contribution

It presents a unified approach for wave focusing through phase and amplitude adjustments, applicable to monochromatic, polychromatic, and diffusive waves, with novel insights into localized and evanescent modes.

Findings

Monochromatic waves can form spatially localized waves in free space.

Polychromatic waves can create non-decaying evanescent modes in media.

An analogy between phase compensation and relativistic frequency transformation is proposed.

Abstract

A general method for focusing of waves, based on phase and amplitude compensation, is applied to monochromatic, polychromatic and diffusive waves. Monochromatic waves may form spatially localized waves in free space, whereas polychromatic waves form non-decaying traveling evanescent modes conned to subwavelength regions in media where the frequency depends on the wave vector. We suggest an analogy between the phase compensation method and the transformation of frequencies between inertial, relativistic coordinate systems.