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In situ Grazing Incidence Small Angle X-ray Scattering on Roll-To-Roll Coating of Organic Solar Cells with Laboratory X-ray Instrumentation

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A single-scattering correction for large contrasts in elastic layers.

Elizabeth T Küsel¹, William L Siegmann, Michael D Collins

¹Rensselaer Polytechnic Institute, Troy, New York 12180, USA.

The Journal of the Acoustical Society of America

|March 14, 2007

Summary

This study presents a new formulation for the parabolic equation method to accurately model seismic wave scattering at solid-solid interfaces. The enhanced approach improves convergence and efficiently handles complex geological layering for various seismic applications.

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Area of Science:

Geophysics
Computational Seismology
Wave Propagation

Background:

Accurate modeling of seismic wave propagation is crucial for geophysical exploration.
Handling solid-solid interfaces and complex stratigraphy presents computational challenges.
Existing parabolic equation methods struggle with large contrasts and sloping interfaces.

Purpose of the Study:

To develop a robust parabolic equation method formulation for accurate solid-solid interface modeling.
To enhance the handling of seismic wave scattering in complex geological structures.
To improve the convergence and efficiency of scattering solutions.

Main Methods:

Implemented a single-scattering solution within a novel parabolic equation formulation.
Addressed challenges with sloping stratigraphy by subdividing interfaces into multiple scattering problems.
Utilized an improved iteration formula for enhanced convergence and banded matrices for efficient transverse operator implementation.

Main Results:

Successfully demonstrated accurate handling of solid-solid interfaces with large contrasts and sloping stratigraphy.
The new formulation effectively manages complex layering in seismic models.
Achieved accurate solutions often with a single iteration, indicating improved computational efficiency.

Conclusions:

The developed parabolic equation method formulation provides an accurate and efficient solution for seismic wave scattering at solid-solid interfaces.
This approach is applicable to a broad range of seismic problems involving complex geological structures.
The improved convergence and computational efficiency offer significant advantages for geophysical analysis.