Optical Fiber Spatial Distribution via Circle Intersection
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Solution Overview
Problem
Existing optical fiber real-space distribution calculation systems fail to accurately determine the distribution of highly linear optical fibers due to the lack of consideration for linearity.
Innovation Solution
The system includes a propagation signal output mechanism, a reception time difference calculation unit, a coordinate information acquisition unit, and a measurement point calculation unit that recursively calculate the coordinates of each measurement point on the optical fiber by determining the intersection of circles centered on known points and propagation signal output units, based on reception time differences.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If existing optical fiber real-space distribution calculation systems are used, then the system can calculate fiber distribution, but the accuracy is insufficient for highly linear optical fibers because linearity is not taken into consideration
Solution Approach 1:
The optical fiber is divided into multiple measurement points along its length, with each point representing a segment of the fiber. By processing each segment independently through the circle intersection method, the system achieves high accuracy in determining the distribution of highly linear optical fibers while maintaining manageable computational complexity through systematic segmentation.
Solution Approach 2:
The patent introduces a geometric dimension by using circle intersections in 2D space to determine the positions of measurement points. This dimensional approach transforms the 1D fiber distribution problem into a 2D geometric calculation, enabling precise determination of fiber spatial distribution by calculating intersections of circles defined by reception time differences and predetermined length segments.
2Ease of manufacture
If linearity of the optical fiber is not considered in the calculation, then the calculation method is simpler, but the ability to determine the distribution of highly linear optical fibers is compromised
Solution Approach 1:
The patent changes the calculation parameters by incorporating the predetermined length segment between measurement points and the reception time difference as key parameters. By using these specific parameters in the circle intersection method, the system achieves high accuracy for highly linear optical fibers while maintaining a relatively simple geometric calculation framework.
3Measurement precision
If measurement points are set for each predetermined length segment, then the distribution can be calculated with consideration for linearity, but the number of calculations increases
Solution Approach 1:
The system performs preliminary calculations by pre-determining the reception time difference between adjacent measurement points and using the predetermined length segment as a fixed parameter. This preliminary preparation allows the main calculation to proceed efficiently through simple circle intersection operations, balancing accuracy with computational efficiency.
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 allows for highly accurate determination of the real-space distribution of optical fibers with high linearity, enabling precise positioning and direction estimation of vibration sources.
Implementation Method 1
a propagation signal output means for outputting, to an optical fiber in which a plurality of measurement points are set for each predetermined length segment, a propagation signal propagating in a non-contact manner via a vibration medium
Implementation Method 2
a reception time difference calculation means for calculating a reception time difference of the propagation signal from the propagation signal output means between adjacent measurement points
Data Source
AI summary
This optical fiber real-space distribution calculation system includes propagation signal output means outputting a propagation signal propagating in a non-contact manner via a vibration medium to an optical fiber; reception time difference calculation means calculating a reception time difference of the propagation signal between adjacent measurement points; coordinate information acquisition means acquiring coordinates of a measurement point on the optical fiber and coordinates of the propagation signal output means; and measurement point calculation means calculating coordinates of each measurement point on the optical fiber by repeating calculation of an intersection between a circle centered on coordinates of the measurement point with a distance of the predetermined length segment as a radius and a circle centered on coordinates of the propagation signal output means as a next measurement point adjacent to the current measurement point, based on the calculated reception time difference of the propagation signal.