Related Experiment Video
Updated: Mar 28, 2026
09:33
Demonstration of Equal-Intensity Beam Generation by Dielectric Metasurfaces
Published on: June 7, 2019
6.8K
Nonlocal response of hyperbolic metasurfaces
Optics Express
|December 25, 2015
Summary
We reveal how material properties limit light confinement in hyperbolic metasurfaces (HMTSs). Graphene
Area of Science:
- Physics
- Materials Science
- Nanotechnology
Background:
- Hyperbolic metasurfaces (HMTSs) offer unique light-manipulating properties.
- Understanding nonlocal effects is crucial for optimizing HMTS performance.
- Spatial dispersion in materials impacts electromagnetic response.
Purpose of the Study:
- To analyze and model the nonlocal response of ultrathin hyperbolic metasurfaces.
- To investigate the influence of intrinsic spatial dispersion and structural granularity on HMTSs.
- To establish design rules for HMTSs at THz and infrared frequencies.
Main Methods:
- Effective medium approach for modeling nonlocal response.
- Analysis of wavenumber cutoff due to intrinsic spatial dispersion and structure granularity.
- Comparison of graphene-based HMTSs with those made from noble metals.
Main Results:
- Intrinsic spatial dispersion imposes a wavenumber cutoff on the hyperbolic isofrequency contour.
- Graphene nonlocality dominates cutoff in realistic graphene nanostrip HMTSs, providing a design rule for THz/infrared applications.
- Nonlocal effects are less significant in noble metal HMTSs due to higher operating frequencies.
Conclusions:
- Nonlocality sets an upper bound on field confinement and light-matter interactions in practical HMTSs.
- Graphene-based HMTSs offer a pathway for advanced optical devices.
- Findings are applicable to the development of hyperlenses, sensors, and on-chip networks.
Related Concept Videos
01:30Hyperbolas
540
A hyperbola is a conic section produced when a double-napped cone is intersected by a plane at an angle steeper than the slope of the cone, such that it cuts through both nappes. This intersection yields two separate, mirror-image curves known as branches, which open away from each other along the transverse axis. The nearest points on each branch to the hyperbola’s center are termed vertices, and the distance from the center to a vertex is denoted by a. Perpendicular to the transverse...
540
01:30Hyperbolic and Inverse Hyperbolic Functions: Problem Solving
212
An arched gate can be effectively modeled using a hyperbolic cosine profile because this type of function is smooth and symmetric about the vertical axis. When the arch is centered at the origin, its maximum height occurs at the center point. This symmetry ensures that any height below the crown of the arch is reached at two horizontal positions that are equal in distance from the centerline but lie on opposite sides.To determine where the gate reaches a height of five meters, the height of the...
212
01:30Geometry of Hyperbolas
607
A hyperbola consists of all points where the absolute difference of distances to two fixed points, called foci, remains constant. The standard equation isEach branch extends infinitely and approaches two asymptotes, which guide the curve’s behavior. The parameters a and b define key features: a measures the distance from the center to each vertex along the transverse axis, while b influences the slopes of the asymptotes. The asymptotes have equationsA rectangle centered at the origin with...
607
01:25Hyperbolic Functions
183
A flexible cable suspended between two points at the same height naturally forms a curve known as a catenary. This shape results from the balance between the cable’s weight and the tension acting along its length, representing a state of mechanical equilibrium. Unlike simpler approximations, the true shape of a hanging cable is described using hyperbolic functions.Hyperbolic functions are closely related to exponential functions and are named for their connection to the geometry of the...
183
01:27Gauss's Law: Planar Symmetry
10.0K
A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
10.0K
01:16Bending of Curved Members - Neutral Surface
597
In curved beams, unlike straight beams, the stress distribution across the cross-section is not uniform due to the beam's curvature. This non-uniformity arises because the neutral axis, where stress is zero, does not align with the centroid of the section. In a curved beam, the strain varies along the section as a function of the distance from the neutral axis.
Consider the curved member described in the previous lesson. According to Hooke's law, which relates stress to strain within the...
Consider the curved member described in the previous lesson. According to Hooke's law, which relates stress to strain within the...
597