Manipulating light at distance by a metasurface using momentum transformation

Abstract

A momentum conservation approach is introduced to manipulate light at distance using metasurfaces. Given a specified field existing on one side of the metasurface and specified desired field transmitted from the opposite side, a general momentum boundary condition is established, which determines the amplitude, phase and polarization transformation to be induced by the metasurface. This approach, named momentum transformation, enables a systematic way to synthesize metasurfaces with complete control over the reflected and transmitted fields. Several synthesis illustrative examples are provided: a vortex hypergeometric-Gaussian beam and a "delayed-start" accelerated beam for Fresnel region manipulation, and a pencil beam radiator and a holographic repeater for Frauenhofer region manipulation. Propag. 51, 2641Propag. 51, -2651Propag. 51, (2003. 14. C. Holloway, M. Mohamed, E. F. Kuester, and A. Dienstfrey, "Reflection and transmission properties of a metafilm: with an application to a controllable surface composed of resonant particles," IEEE Trans. Electromagn. Compat. 47, 853-865 (2005

General Metasurface Synthesis Based on Susceptibility Tensors

“…To date, only a small number of metasurface synthesis techniques have been reported [13]- [16]. The first two, [13] and [14], are based on impedance tensors corresponding to the relations (7).…”

“…In contrast, this paper deals with wave of arbitrary incident angle and arbitrary type. Finally, the last paper, [16], proposes a technique called the momentum transformation method, which is a spectral (k) method, that is particularly suitable for paraxial wave problems. It can also handle full vectorial problems but this involves extra complexity compared to the scalar case.…”

METASURFACE SYNTHESIS FOR TIME-HARMONIC WAVES: EXACT SPECTRAL AND SPATIAL METHODS (Invited Paper)

“…The momentum transformation technique is not limited to scalar wave manipulation and could be extended to vectorial fields as well as demonstrated in [10]. It should be noted though that the vector nature of the problem introduces an extra level of complication, where the metasurface becomes a vector mode transformer in the momentum space.…”

“…So far, only two approaches have been introduced to formally accomplish this transformation, the first is based on momentum transformation [10], and the second is based on susceptibility tensor extraction [11]. In this paper, we discuss these two exact approaches to synthesize the metasurface given the incident and the scattered fields.…”

“…In this paper, we discuss these two exact approaches to synthesize the metasurface given the incident and the scattered fields. The first approach is spectral and yields a metasurface description in the momentum space of the waves [10]. This approach is best suited for scalar and paraxial waves for its simplicity and its capability of arbitrarily translating the plane of the scattered field parallel to the metasurface.…”