Modern Analytical Electromagnetic Homogenization

Nonfiction, Science & Nature, Science, Physics, Waves & Wave Mechanics, Electromagnetism, Other Sciences, Applied Sciences
Cover of the book Modern Analytical Electromagnetic Homogenization by Tom G Mackay, Akhlesh Lakhtakia, Morgan & Claypool Publishers
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Author: Tom G Mackay, Akhlesh Lakhtakia ISBN: 9781627057097
Publisher: Morgan & Claypool Publishers Publication: July 1, 2015
Imprint: IOP Concise Physics Language: English
Author: Tom G Mackay, Akhlesh Lakhtakia
ISBN: 9781627057097
Publisher: Morgan & Claypool Publishers
Publication: July 1, 2015
Imprint: IOP Concise Physics
Language: English

Electromagnetic homogenization is the process of estimating the effective electromagnetic properties of composite materials in the long-wavelength regime, wherein the length scales of nonhomogeneities are much smaller than the wavelengths involved. This is a bird’s-eye view of currently available homogenization formalisms for particulate composite materials. It presents analytical methods only, with focus on the general settings of anisotropy and bianisotropy. The authors largely concentrate on ‘effective’ materials as opposed to ‘equivalent’ materials, and emphasize the fundamental (but sometimes overlooked) differences between these two categories of homogenized composite materials. The properties of an ‘effective’ material represents those of its composite material, regardless of the geometry and dimensions of the bulk materials and regardless of the orientations and polarization states of the illuminating electromagnetic fields. In contrast, the properties of ‘equivalent’ materials only represent those of their corresponding composite materials under certain restrictive circumstances.

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Electromagnetic homogenization is the process of estimating the effective electromagnetic properties of composite materials in the long-wavelength regime, wherein the length scales of nonhomogeneities are much smaller than the wavelengths involved. This is a bird’s-eye view of currently available homogenization formalisms for particulate composite materials. It presents analytical methods only, with focus on the general settings of anisotropy and bianisotropy. The authors largely concentrate on ‘effective’ materials as opposed to ‘equivalent’ materials, and emphasize the fundamental (but sometimes overlooked) differences between these two categories of homogenized composite materials. The properties of an ‘effective’ material represents those of its composite material, regardless of the geometry and dimensions of the bulk materials and regardless of the orientations and polarization states of the illuminating electromagnetic fields. In contrast, the properties of ‘equivalent’ materials only represent those of their corresponding composite materials under certain restrictive circumstances.

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