Magnitude‐Controlled Phase Based on Euler's Formula

Author:

Sun Zhiwei1ORCID,Sima Boyu2,Xu Ruolei3,He Bo4,Cao Hailin1,Zhao Junming5,Feng Yijun5ORCID

Affiliation:

1. School of Microelectronics and Communication Engineering Chongqing University Chongqing 400044 China

2. School of Electronic and Optical Engineering Nanjing University of Science and Technology Nanjing 210094 China

3. Department of Electrical and Computer Engineering National University of Singapore Singapore 117583 Singapore

4. Shanghai Radio Equipment Research Institute Shanghai Academy of Spaceflight Technology Shanghai 201109 China

5. School of Electronic Science and Engineering Nanjing University Nanjing 210023 China

Abstract

AbstractPhase manipulation plays a fundamental role in electromagnetic (EM) and optics research, i.e., the wavefront shaping depends heavily on phase modulation. However, the previous phase manipulation methods are limited to phase‐angle dimensionality, and the magnitude and phase are generally deemed as two distinct characters that should be controlled separately. Herein, a phase manipulation method in which phase is modulated by magnitude is proposed that follows an EM expression of Euler's formula. A rotation phase of linearly‐polarized waves is presented. Using this method, several unique applications in this research are demonstrated. First, a Hall effect of non‐angular‐momentum waves is obtained; second, an interdigital topology model with a unique topological‐charge control strategy is presented; and finally, the method is applied to holographic imaging, of which information of the hologram is recorded as a distribution of magnitude. Furthermore, as this method is applicable to all forms of harmonic waves, it can be potentially applied to other areas of wave phenomena such as acoustics and mechanics.

Funder

National Natural Science Foundation of China

Fundamental Research Funds for the Central Universities

Publisher

Wiley

Subject

Atomic and Molecular Physics, and Optics,Electronic, Optical and Magnetic Materials

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