Radiation Source Fields in Layered Lossy Media Using Interface Coefficients
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Solution Overview
Problem
Existing methods for solving the electromagnetic field in layered lossy media are computationally expensive due to the need to increase integration intervals and sampling points to account for significant amplitude differences in the radiation source layer, which complicates marine electromagnetic detection and other research.
Innovation Solution
An efficient method that calculates the electromagnetic field by selecting amplitude coefficients from the interfaces of the radiation source layer, using direct integration or the fast Fourier method, and superimposing a secondary field with a background field obtained from theoretical formulas, reducing the need for increased integration ranges and sampling points.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If the Sommerfeld integral interval is expanded and the number of sampling points is increased to ensure accuracy in the radiation source layer, then the solution accuracy is improved, but the computational cost is greatly increased
Solution Approach 1:
The electromagnetic field is segmented into two distinct components: the background field (obtained from theoretical formulas) and the secondary field (obtained from Sommerfeld integrals with interface amplitude coefficients). This segmentation allows each component to be calculated with appropriate precision requirements, avoiding the need for high-precision Sommerfeld integration across the entire field calculation.
Solution Approach 2:
The background field component is extracted from the total electromagnetic field calculation. By separating the background field (which can be calculated analytically) from the secondary field (which requires numerical integration), the method avoids applying high-precision numerical integration to the entire field, thereby reducing computational cost while maintaining accuracy.
2Productivity
If traditional methods are used to calculate electromagnetic field amplitude coefficients in the radiation source layer, then the calculation follows conventional procedures, but the computational resources and time are significantly increased
Solution Approach 1:
The method changes the parameters used in Sommerford integration by selecting interface amplitude coefficients (which have minimum difference) instead of radiation source amplitude coefficients (which have significant amplitude differences). This parameter change reduces the numerical integration difficulty and computational resource requirements while maintaining solution accuracy.
3Measurement precision
If the amplitude difference between upward and downward propagating waves is addressed by expanding integration range, then the solution accuracy is maintained, but the integration complexity and computational load increase
Solution Approach 1:
Interface amplitude coefficients serve as intermediaries between the radiation source and the observation points. By using these interface coefficients (which have minimum difference) as the basis for Sommerfeld integration, the method avoids directly integrating the large amplitude differences present in the radiation source layer, thereby reducing integration complexity.
Data Source
AI summary
In an efficient method for solving the electromagnetic field of the radiation source layer in the layered lossy medium, the secondary field is obtained by selecting the amplitude coefficient from the interface of the radiation source layer, and then superimposed with the background field to obtain the electromagnetic field of the radiation source layer. Due to the minimum difference in the amplitude coefficient from the interface of the radiation source layer, this method has lower requirements on the integration interval and the number of sampling points, and the background field can be directly obtained by the theoretical formula. The method significantly reduces overall memory usage and computation time, thereby improving computational efficiency. The method lowers the computational cost of solving the electromagnetic field of the radiation source layer in a layered lossy medium, enhances the model's solution efficiency, and supports the effective development of marine electromagnetic detection and related research.