Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Geometry of Hyperbolas

Geometry of Hyperbolas

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...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Toward autonomous robotic-assisted and microrobotic surgery.

Science advances·2026

Same author

Over 20 W alexandrite laser with beam quality M<sup>2</sup> < 1.05.

Optics express·2026

Same author

On-Chip Electro-optically Tunable Narrow Linewidth Brillouin Microlasers Implemented in Thin Film Lithium Niobate.

Physical review letters·2026

Same author

Crystallization of the Transdimensional Electron Liquid.

Nano letters·2026

Same author

3D Neuromodulation in Neural Organoids with Shell MEAs.

Advanced healthcare materials·2026

Same author

Double-chirped mirrors expand the bandwidth of infrared frequency combs.

Light, science & applications·2025

Search research articles

Related Experiment Video

Updated: Feb 25, 2026

Simulation, Fabrication and Characterization of THz Metamaterial Absorbers

Simulation, Fabrication and Characterization of THz Metamaterial Absorbers

Published on: December 27, 2012

Limits of imaging with multilayer hyperbolic metamaterials.

Tengfei Li, Vivek Nagal, David H Gracias

|August 10, 2017

Summary

Multilayer hyperbolic metamaterials offer sub-wavelength imaging but their resolution degrades with more layers and is limited by object distance. Granularity and fill ratio also impact performance.

Area of Science:

Metamaterials
Nanophotonics
Imaging Science

Background:

Multilayer hyperbolic metamaterials are recognized for their potential in achieving sub-wavelength resolution imaging.
These
hyperbolic lenses
present unique optical properties due to their structure.

Purpose of the Study:

To conduct an in-depth analysis of the performance of multilayer hyperbolic metamaterial lenses.
To elucidate the physical mechanisms and fundamental limitations governing their imaging capabilities.

Main Methods:

Utilized the transfer matrix method for performance analysis.
Employed the eigen-mode approach to gain physical insight and identify limitations.

More Related Videos

Demonstration of a Hyperlens-integrated Microscope and Super-resolution Imaging

Demonstration of a Hyperlens-integrated Microscope and Super-resolution Imaging

Published on: September 8, 2017

Demonstration of Spin-Multiplexed and Direction-Multiplexed All-Dielectric Visible Metaholograms

Demonstration of Spin-Multiplexed and Direction-Multiplexed All-Dielectric Visible Metaholograms

Published on: September 25, 2020

Related Experiment Videos

Last Updated: Feb 25, 2026

Simulation, Fabrication and Characterization of THz Metamaterial Absorbers

Simulation, Fabrication and Characterization of THz Metamaterial Absorbers

Published on: December 27, 2012

Demonstration of a Hyperlens-integrated Microscope and Super-resolution Imaging

Demonstration of a Hyperlens-integrated Microscope and Super-resolution Imaging

Published on: September 8, 2017

Demonstration of Spin-Multiplexed and Direction-Multiplexed All-Dielectric Visible Metaholograms

Demonstration of Spin-Multiplexed and Direction-Multiplexed All-Dielectric Visible Metaholograms

Published on: September 25, 2020

Main Results:

Image resolution decreases with an increasing number of layers, attributed to increased optical loss.
Significant suppression of high spatial frequencies occurs due to eigen-mode cancellation, further limiting resolution.
Granularity and fill ratio critically affect the resolution of these hyperbolic structures.

Conclusions:

Hyperbolic metamaterials can achieve sub-wavelength resolution imaging.
However, this capability is restricted to very short object distances, limiting their practical utility in many applications.