Coherent Diffractive Phase Recovery Using Iterative Spectral Masks

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Solution Overview

Problem

Existing phase recovery methods often require multiple measurements and complex algorithms to achieve accurate phase and image recovery, which can be computationally intensive and may not always result in perfect recovery.

Innovation Solution

The use of a minimal number of specially selected masks, including a unity mask and one or more phase masks or complementary unipolar binary masks, to recover phase information from an array of points, reducing the computational complexity and improving the speed of computation.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If multiple independent measurement systems with phase masks are used to recover phase information, then the accuracy of phase recovery is improved, but the device complexity and computational requirements increase significantly

Engineering Contradiction:
Improvephase recovery accuracyVSAvoidnumber of measurement systems
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent segments the phase recovery process into two distinct stages: (1) amplitude measurement at the spectral output plane, and (2) iterative phase recovery using the Gerchberg-Saxton algorithm. This segmentation allows the system to use a single measurement system rather than multiple independent systems, reducing device complexity while maintaining phase recovery accuracy through computational processing

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent introduces an iterative phase recovery algorithm as an intermediary computational process that bridges the gap between amplitude-only measurements and complete complex wavefield reconstruction. This computational mediator enables accurate phase recovery from a single amplitude measurement without requiring multiple physical measurement systems with phase masks

Inventive Principle:
Principle #24Intermediary (Mediator)

2Reliability

If multiple independent measurement systems are used to achieve reliable phase recovery, then the reliability of phase recovery is improved, but the loss of time due to multiple measurements increases

Engineering Contradiction:
Improvephase recovery reliabilityVSAvoidcomputational time
Core Design Contradiction:
ReliabilityVSLoss of time

Solution Approach 1:

The patent performs preliminary amplitude measurements at the spectral output plane before initiating the iterative phase recovery process. By obtaining the amplitude spectrum first and using it as a constraint in the Gerchberg-Saxton algorithm, the system achieves reliable phase recovery in a single measurement pass rather than requiring multiple sequential measurements, thereby reducing time loss

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The patent replaces the mechanical approach of using multiple physical measurement systems with phase masks with a computational approach using the Gerchberg-Saxton iterative algorithm. This substitution eliminates the need for multiple physical measurements and their associated time costs, achieving reliable phase recovery through mathematical iteration instead of repeated physical experimentation

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

3Measurement precision

If conventional phase recovery algorithms are used with multiple measurements, then the measurement precision is improved, but the productivity decreases due to computational intensity

Engineering Contradiction:
Improvephase and image recovery accuracyVSAvoidcomputation speed
Core Design Contradiction:
Measurement precisionVSProductivity

Solution Approach 1:

The patent extracts and utilizes only the amplitude information from the spectral output plane measurement, setting aside the need for multiple measurements with different phase masks. By focusing on a single amplitude measurement and using iterative algorithms to recover phase, the system reduces computational overhead while maintaining recovery accuracy, thereby improving productivity

Inventive Principle:
Principle #2Taking out (Extraction)

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 enables efficient and accurate phase recovery with fewer masks, reducing computational time and improving the quality of reconstructed amplitude and phase information.

Implementation Method 1

a transformation unit having an input and a spectral output... The transformed modified inputs are recorded to produce phasorgrams

Methodology Applied
Scientific EffectDiffraction: Diffraction

Data Source

PatentUS12298715B2Totagraphy: coherent diffractive/digital information reconstruction by iterative phase recovery using a second camera imaging the input plane
Publication Date: 2025.05.13 WAVEFRONT ANALYSIS SYSTEMS LLC
  • US12298715B2 patent drawing
  • US12298715B2 patent drawing
  • US12298715B2 patent drawing

AI summary

A totagram is produced by an iterative spectral phase recovery process resulting in complete information recovery using special masks and using a reference beam. Using these special masking systems reduce computation time, number of masks, and number of iterations. Adding a reference wave to the iterative process provides better phase recovery systems and aid in the preventing of phase wrapping. The reference wave is added on-axis to provide a well-controlled amplitude. The reference wave is added after the physical or digital transformation system and subtracted before recording the initial amplitude. An additional camera at the input plane records the amplitudes of the original input wave which are used during the iterative process.