Axicon Lens Bessel Beam Super-Resolution Microscopy

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Solution Overview

Problem

Conventional microscopy and telescopic systems face limitations in achieving high resolution due to the diffraction limit, requiring multiple images and specialized illumination or fluorescent tags, and are hindered by atmospheric turbulence and instrument aperture size.

Innovation Solution

The implementation of Bessel Beam Microscopy, which enhances resolution by transforming the point spread function into a Bessel beam pattern using an axicon and convex lens, allowing for single-image super-resolution with unstructured broadband illumination and decoupling resolution from numerical aperture, enabling improved angular and spatial resolution.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If conventional microscopy techniques are used to achieve super-resolution, then higher resolution information can be obtained, but multiple images and specialized illumination or fluorescent tags are required

Engineering Contradiction:
ImproveresolutionVSAvoidcomplexity of illumination and tagging requirements
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent changes the optical parameters by introducing an axicon lens to transform the point spread function into a Bessel beam pattern. This parameter change in the optical system allows single-image super-resolution without requiring multiple images or specialized fluorescent tags, directly resolving the contradiction between achieving high resolution and reducing system complexity

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The axicon lens serves as an intermediary optical element that transforms the conventional point spread function into a Bessel beam pattern. This intermediary component enables the system to achieve super-resolution in a single image without requiring complex illumination patterns or fluorescent tagging, thereby reducing device complexity while maintaining high measurement precision

Inventive Principle:
Principle #24Intermediary (Mediator)

2Measurement precision

If the diffraction limit of telescopes is reduced by increasing aperture diameter, then angular resolution improves, but the instrument size and cost increase

Engineering Contradiction:
Improveangular resolutionVSAvoidaperture diameter
Core Design Contradiction:
Measurement precisionVSLength of stationary object

Solution Approach 1:

The patent applies parameter changes by transforming the diffraction-limited point spread function into a Bessel beam pattern using an axicon lens. This changes the fundamental diffraction characteristics of the telescope, enabling super-resolution without increasing the aperture diameter, thus improving angular resolution while keeping the instrument size constant

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The invention introduces a new dimensional approach by using axial interference patterns created by the axicon lens to encode resolution information. Instead of relying solely on aperture diameter (one dimension), the system uses the axial dimension to create interference patterns that provide super-resolution, effectively adding another dimension to the resolution problem

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

3Measurement precision

If atmospheric turbulence is minimized by moving telescopes to space or using adaptive optics, then the seeing limit is reduced, but system complexity and cost increase

Engineering Contradiction:
Improveangular resolutionVSAvoidcomplexity of adaptive optics or space deployment
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The axicon lens acts as a simple intermediary optical element that can be added to existing ground-based telescopes without requiring complex adaptive optics systems or space deployment. This single optical component transforms the point spread function to achieve super-resolution, dramatically reducing the complexity required to overcome atmospheric turbulence effects

Inventive Principle:
Principle #24Intermediary (Mediator)

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 approach achieves a 38% improvement in resolution over traditional microscopy, allowing for sub-diffraction limit imaging with common fluorescent dyes and broadband illumination, and is applicable to both microscopy and telescopic systems, providing flexibility in magnification and field of view.

Implementation Method 1

Single image super-resolution microscopy with interference microscopy

Methodology Applied
Scientific EffectInterference: Interference

Implementation Method 2

transforming the point spread function into a Bessel beam pattern

Methodology Applied
Scientific EffectDiffraction: Diffraction

Data Source

PatentUS9494785B2Single image super-resolution microscopy and telescope systems
Publication Date: 2016.11.15 PURDUE RES FOUND
  • US9494785B2 patent drawing
  • US9494785B2 patent drawing
  • US9494785B2 patent drawing

AI summary

Image resolution enhancement techniques are implemented using a single image an unstructured broadband illumination. By placing an axicon and a convex lens pair in an optical path of a microscope, telescope, or the object system, between the system and an image capture pickup device (e.g., a camera) the maximum resolution of the system may be increased through the formation of an interference pattern at the image capture device.