Open Resonator Mirror Geometry for Higher-Order Mode Suppression

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Solution Overview

Problem

Existing open resonators face challenges in accurately measuring dielectric characteristics of materials at high frequencies due to energy loss and interference from unnecessary higher-order modes, particularly the TEM0nq modes, which distort the resonance waveform of the TEM00q mode used for measurement.

Innovation Solution

The open resonator design includes spherical reflection mirrors with opening diameters equal to or less than half the distance between the mirrors, minimizing interference from higher-order modes while maintaining the integrity of the TEM00q mode for precise dielectric characteristic measurement.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Productivity

If the opening diameter of spherical reflection mirrors is increased to improve measurement efficiency, then more higher-order modes (TEM0nq) are excited causing resonance waveform distortion, but measurement precision deteriorates

Engineering Contradiction:
Improvemeasurement efficiencyVSAvoiddielectric characteristic measurement accuracy
Core Design Contradiction:
ProductivityVSMeasurement precision

Solution Approach 1:

The patent applies parameter changes by establishing a specific quantitative relationship between the opening diameter (D) and the distance between spherical mirrors (L), defined as D ≤ L/2. This parameter constraint selectively suppresses higher-order modes while preserving the fundamental mode, thereby improving measurement precision without significantly compromising measurement efficiency.

Inventive Principle:
Principle #35Parameter changes

2Device complexity

If conventional open resonator dimensions are used to maintain device simplicity, then higher-order modes interfere with measurement, but if dimensions are optimized to suppress higher-order modes, then device complexity increases

Engineering Contradiction:
Improveresonator structure simplicityVSAvoiddielectric characteristic measurement accuracy
Core Design Contradiction:
Device complexityVSMeasurement precision

Solution Approach 1:

The patent changes the dimensional parameters of the resonator by imposing the constraint D ≤ L/2 on the opening diameter relative to the mirror distance. This parameter modification eliminates higher-order mode interference while maintaining the fundamental operating principle of the open resonator, thus improving precision without substantially increasing device complexity.

Inventive Principle:
Principle #35Parameter changes

3Volume of moving object

If the distance between spherical mirrors is reduced to compact the device, then higher-order modes become more prominent causing measurement errors, but if distance is increased to suppress higher-order modes, then device size increases

Engineering Contradiction:
Improveresonator compactnessVSAvoiddielectric characteristic measurement accuracy
Core Design Contradiction:
Volume of moving objectVSMeasurement precision

Solution Approach 1:

The patent applies parameter changes by establishing the relationship D ≤ L/2, which couples the opening diameter and mirror distance parameters. This allows for optimized compact designs where the distance L can be reduced while simultaneously adjusting D to maintain the ratio constraint, thereby suppressing higher-order modes without excessive device size increase.

Inventive Principle:
Principle #35Parameter changes

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

This design allows for more precise and efficient measurement of dielectric characteristics by effectively suppressing unnecessary higher-order modes, ensuring accurate determination of dielectric constants and tangents without significant distortion of the TEM00q mode resonance.

Implementation Method 1

a first spherical reflection mirror having a first reflection spherical surface; and a second spherical reflection mirror having a second reflection spherical surface arranged to face the first reflection spherical surface

Methodology Applied
Scientific EffectReflection: Reflection

Implementation Method 2

the resonance measurement is performed to obtain a resonance waveform and the dielectric characteristic of the sample is measured

Methodology Applied
Scientific EffectResonance: Resonance

Data Source

PatentUS12607559B2Open resonator
Publication Date: 2026.04.21 EM LABS INC
  • US12607559B2 patent drawing
  • US12607559B2 patent drawing
  • US12607559B2 patent drawing

AI summary

An open resonator capable of measuring dielectric characteristic of a sample with high accuracy by removing unnecessary higher-order mode resonance. The open resonator includes: a first spherical reflection mirror having a first reflection spherical surface; and a second spherical reflection mirror having a second reflection spherical surface arranged to face the first reflection spherical surface. At least one of diameters of opening surfaces of the first reflection spherical surface and the second reflection spherical surface exposed to a space between the first reflection spherical surface and the second reflection spherical surface is equal to or less than a half of a distance between the first reflection spherical surface and the second reflection spherical surface.