Vertical Dielectric Mie Resonators for Low-Loss Metamaterials

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Solution Overview

Problem

Conventional metallic resonators exhibit high intrinsic ohmic losses, limiting their use in resonant metamaterials operating at infrared and higher frequencies, which hinders applications such as sensing, detection, and imaging.

Innovation Solution

Arrays of vertically oriented dielectric Mie resonators are used, replacing lossy ohmic currents with low-loss displacement currents, enabling low-loss resonant metamaterials through Membrane Projection Lithography (MPL), allowing for high transmission and large phase delay, and providing band-stop filter behavior.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Loss of energy

If conventional metallic resonators are used, then resonant metamaterials can be constructed, but high intrinsic ohmic losses occur

Engineering Contradiction:
Improveohmic lossesVSAvoidresonant metamaterial performance
Core Design Contradiction:
Loss of energyVSReliability

Solution Approach 1:

The patent replaces metallic resonators with dielectric resonators, substituting the conduction-based electromagnetic resonance mechanism with a dielectric-based displacement current mechanism. This substitution eliminates ohmic losses inherent in metallic structures while maintaining resonant metamaterial functionality in the infrared regime.

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

Solution Approach 2:

The patent employs composite dielectric structures with varying refractive indices (e.g., high-index nanodisks on low-index walls) to achieve desired optical properties. The composite material approach enables tailored electromagnetic resonance characteristics while maintaining low loss by avoiding metallic components.

Inventive Principle:
Principle #40Composite materials

2Ease of operation

If dielectric resonators are vertically stacked, then cumulative phase delay is achieved, but device complexity increases

Engineering Contradiction:
Improvephase delay controlVSAvoidresonator stacking structure
Core Design Contradiction:
Ease of operationVSDevice complexity

Solution Approach 1:

The patent transitions from planar to vertical stacking of dielectric resonators, utilizing the third dimension (vertical height) to accumulate phase delay. This dimensional change enables multiple resonators to be stacked along the z-axis, providing cumulative phase shift while maintaining compact footprints.

Inventive Principle:
Principle #17Another dimension (Dimensionality change)

Solution Approach 2:

The patent divides the resonant structure into multiple discrete dielectric resonator segments stacked vertically. Each segment contributes to the overall phase delay, allowing independent optimization of individual resonators while achieving cumulative effect through stacking.

Inventive Principle:
Principle #1Segmentation

3Adaptability or versatility

If multiple dielectric resonators are placed on multiple walls, then additional functionality is provided, but manufacturing complexity increases

Engineering Contradiction:
Improvefunctional versatilityVSAvoidfabrication process
Core Design Contradiction:
Adaptability or versatilityVSEase of manufacture

Solution Approach 1:

The patent designs dielectric resonators that can be placed on multiple walls of the unit cell, where each resonator simultaneously provides multiple functions: phase delay, transmission control, and potentially filtering. This multi-functionality reduces the need for separate components for each function.

Inventive Principle:
Principle #6Universality (Multi-functionality)

Solution Approach 2:

The patent combines multiple resonators on different walls into a unified structural motif that can be fabricated simultaneously. By merging the placement of resonators on multiple walls into a single fabrication process step, the patent reduces overall manufacturing complexity despite the increased functionality.

Inventive Principle:
Principle #5Merging (Combining)

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

The solution achieves low-loss resonant metamaterials with high transmission and cumulative phase delay, enabling advanced optical devices like lensing and wave-front manipulation, and expanding bandwidth for infrared applications.

Implementation Method 1

Arrays of vertically oriented dielectric Mie resonators can provide low-loss resonant metamaterials because they replace lossy ohmic currents of metallic resonators with low-loss displacement currents

Methodology Applied
Scientific EffectMie resonance: Resonance

Implementation Method 2

replace lossy ohmic currents with low-loss displacement currents

Methodology Applied
Scientific EffectDisplacement current: Electrical Resistance

Implementation Method 3

Each resonator can be tailored to simultaneously exhibit high transmission and a large phase delay in the transmitted field

Methodology Applied
Scientific EffectElectromagnetic transmission: Reflection

Implementation Method 4

Vertically stacking the resonators can provide cumulative phase delay

Methodology Applied
Scientific EffectPhase delay accumulation: Resonance

Implementation Method 5

placing the resonators on opposite walls can provide cut-wire behavior from all-dielectric structures

Methodology Applied
Scientific EffectCut-wire behavior: Electromagnetic Induction

Implementation Method 6

High-index resonators can be used to enable directional scattering at the single resonator level

Methodology Applied
Scientific EffectDirectional scattering: Scattering

Implementation Method 7

ultra-lightweight optical devices, such as lensing or wave-front manipulation with Huygens metasurfaces

Methodology Applied
Scientific EffectLensing: Lens

Implementation Method 8

lensing or wave-front manipulation with Huygens metasurfaces

Methodology Applied
Scientific EffectWave-front manipulation: Refraction

Implementation Method 9

multiple dielectric resonators can be used to widen the bandwidth as well as achieve more than 2π phase shift

Methodology Applied
Scientific EffectBandwidth extension: Resonance

Data Source

PatentUS11017186B2Optical devices enabled by vertical dielectric Mie resonators
Publication Date: 2021.05.25 NATIONAL TECHNOLOGY & ENGINEERING SOLUTIONS OF SANDIA LLC
  • US11017186B2 patent drawing
  • US11017186B2 patent drawing
  • US11017186B2 patent drawing

AI summary

Dielectric resonators provide a building block for the development of low-loss resonant metamaterials because they replace lossy ohmic currents of metallic resonators with low-loss displacement currents. The spectral locations of electric and magnetic dipole resonances of a dielectric resonator can be tuned by varying the resonator geometry so that desired scattering properties are achieved.