Atom Interferometer Gyroscope Phase Extraction Method
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Solution Overview
Problem
Conventional atom interferometers face challenges in measuring small rotation rates due to high measurement errors and require complex data analysis, including nonlinear fitting, which is slow and often fails, especially in the partial-fringe regime where less than one full interference fringe is visible across the atom cloud.
Innovation Solution
The inertial point-source matter-wave atom interferometer gyroscope uses a simple, high dynamic range method (SHEEP) that extracts phase maps from four phase-shifted fringe images, eliminating the need for nonlinear fitting by directly calculating rotation rate and acceleration from pixel values, independent of fringe contrast or orientation, and capable of measuring smaller rotation rates with improved accuracy.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If conventional atom interferometers use complex data analysis including nonlinear fitting to measure rotation rates, then measurement precision may be improved, but device complexity and processing time increase significantly
Solution Approach 1:
The patent extracts the phase information directly from the fringe images using a simplified linear fitting approach rather than complex nonlinear fitting. By separating the phase extraction step from the complex analysis, the system achieves accurate rotation rate measurement without requiring cumbersome computational procedures, thus reducing device complexity while maintaining precision.
Solution Approach 2:
The patent replaces complex mechanical data analysis procedures with a more straightforward mathematical approach. Instead of using complex nonlinear fitting algorithms, the system employs linear fitting on phase-shifted fringe images, substituting a simpler computational mechanism that achieves the same measurement goal with reduced complexity and faster processing.
2Measurement precision
If conventional atom interferometers use nonlinear fitting methods for data analysis, then measurement precision may improve, but productivity decreases due to slow processing speed
Solution Approach 1:
The patent extracts phase information directly from fringe images using linear fitting on phase-shifted images, separating this extraction step from complex computational procedures. This direct extraction approach significantly reduces processing time while maintaining measurement precision, thereby improving productivity without sacrificing accuracy.
Solution Approach 2:
The patent substitutes slow nonlinear fitting procedures with faster linear fitting methods. By replacing the complex computational mechanism with a simpler linear analysis approach, the system achieves the same measurement precision much more quickly, directly improving data processing speed and overall productivity.
3Adaptability or versatility
If conventional atom interferometers operate in the partial-fringe regime with less than one full interference fringe visible, then adaptability to different rotation rates improves, but measurement precision deteriorates due to high measurement errors
Solution Approach 1:
The patent applies periodic phase shifting to the laser beams, creating multiple phase-shifted fringe images. This periodic action allows the system to extract accurate phase information even when less than one full fringe is visible, enabling precise measurement across a wide range of rotation rates including the partial-fringe regime, thus improving both adaptability and precision simultaneously.
Solution Approach 2:
The patent uses feedback from multiple phase-shifted fringe images to accurately determine the phase difference. By analyzing the phase evolution across multiple images, the system can reliably measure rotation rates even in the partial-fringe regime, maintaining high precision while adapting to different rotation rate magnitudes.
4Adaptability or versatility
If atom interferometers measure small rotation rates, then adaptability to low-rate applications improves, but measurement precision worsens due to high measurement errors
Solution Approach 1:
The patent employs periodic phase shifting of the laser beams to create measurable fringe patterns even for small rotation rates. This periodic modulation enhances the visibility and measurability of fringe shifts, allowing accurate detection of small rotation rates while maintaining high precision through the phase-shifted image analysis method.
Solution Approach 2:
The patent uses feedback from multiple phase-shifted images to accurately measure small rotation rates. By analyzing the phase evolution across the sequence of images, the system can detect and measure small rotational movements with high precision, overcoming the measurement errors that typically plague low-rate measurements.
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 provides more accurate and reliable measurements of rotation rates, especially at low rates, with higher measurement bandwidth and reduced common-mode noise, enabling more efficient data processing and robust inertial navigation.
Implementation Method 1
subjecting gyroscope atoms in an expanding cold atom cloud formed from a point-source of the gyroscope atoms to modulated light and imprinting a laser phase of the modulated light onto the gyroscope atoms
Implementation Method 2
producing matter-wave interference among gyroscope atoms in an expanding cold atom cloud formed from a point-source of the gyroscope atoms in response to subjecting the gyroscope atoms in the expanding cold atom cloud to the modulated light
Data Source
AI summary
An inertial point-source matter-wave atom interferometer gyroscope includes an analyzer that receives fringe images of gyroscope atoms and includes: a first fringe image that includes a first fringe phase, a second fringe image that includes a second fringe phase; and a third fringe image that includes a third fringe phase, wherein the first fringe phase, the second fringe phase, and the third fringe phase are different; a phase mapper of the analyzer that produces a interferometric phase map for the gyroscope atoms from the fringe images of the gyroscope atoms; and a fitter of the analyzer in communication with the phase mapper and that receives the interferometric phase map from the analyzer and determines inertial parameters of the gyroscope atoms from the interferometric phase map, the inertial parameters including an acceleration and a rotation rate of the inertial point-source matter-wave atom interferometer gyroscope relative to the gyroscope atoms.