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Metallic Solids

Metallic Solids

Metallic solids such as crystals of copper, aluminum, and iron are formed by metal atoms. The structure of metallic crystals is often described as a uniform distribution of atomic nuclei within a “sea” of delocalized electrons. The atoms within such a metallic solid are held together by a unique force known as metallic bonding that gives rise to many useful and varied bulk properties.
All metallic solids exhibit high thermal and electrical conductivity, metallic luster, and malleability. Many...

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Constrained least squares Fourier modal method for computing scattering from metallic binary gratings.

Krishna Mohan Gundu¹, Arash Mafi

¹Department of Electrical Engineering and Computer Science, University of Wisconsin-Milwaukee, 3200 North Cramer Street, Milwaukee, Wisconsin 53211, USA. gundu@uwm.edu

Journal of the Optical Society of America. A, Optics, Image Science, and Vision

|November 4, 2010

Summary

This summary is machine-generated.

This study enhances a rectangular truncation method for metallic gratings. The improved technique ensures accurate total power calculations in scattered fields for convergent solutions.

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Area of Science:

Optics
Electromagnetism
Computational Physics

Background:

Binary metallic gratings present convergence challenges in electromagnetic scattering analysis.
Previous rectangular truncation methods may inaccurately estimate total scattered power.
Accurate power conservation is crucial for reliable grating simulations.

Purpose of the Study:

To extend a prior rectangular truncation method for binary metallic gratings.
To address the underestimation of total scattered power in previous approaches.
To develop a method that ensures both convergence and power conservation.

Main Methods:

Incorporating constraints into the rectangular truncation method.
Formulating the problem as a constrained least squares minimization.
Applying the extended method to both lossy and lossless gratings.

Main Results:

The enhanced method successfully preserves total power in the scattered field.
Convergent solutions are achieved for both lossy and lossless binary metallic gratings.
Demonstrated accuracy in power conservation across various grating parameters.

Conclusions:

The constrained least squares approach effectively resolves power underestimation issues.
This extended method offers a more robust solution for analyzing metallic gratings.
The findings are significant for accurate electromagnetic scattering simulations.