Electromagnetic Scattering and Material Characterization by Abbas Omar

By Abbas Omar

According to the author's more-than 30 years of expertise, this first-of-its-kind quantity deals microwave engineers and complicated engineering scholars a accomplished and systematic research of electromagnetic fields and their scattering by way of fabric gadgets. The booklet considers all 3 different types of scattering environments general for cloth measurements - unbounded areas, waveguides, and hollow space resonators. The publication covers such crucial issues as electromagnetic box propagation, radiation, and scattering, containing mathematically rigorous techniques for the computation of electromagnetic fields and the reason in their behaviour. additionally, the ebook explores new dimension strategies for cloth characterisation - such a lot of that have by no means been released sooner than. This unique reference is jam-packed with over four hundred equations.

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Extra info for Electromagnetic Scattering and Material Characterization

Sample text

The magnetic dipole moment and the angular momentum are in the same direction for the nuclear spin and oppositely directed for the electronic one. Both nuclear and electronic magnetic dipole moments react with an external magnetic field similarly. Only the nuclear magnetic dipole moment will be considered here because of its importance to the nuclear magnetic resonance imaging (NMRI). 9 The magnetic dipole moments of nonmagnetic materials are randomly distributed over all spatial directions. The corresponding statistical distribution is uniform in the absence of an externally applied magnetic field, so that the resulted magnetic polarization (as being defined as the average dipole moment per unit volume) vanishes.

9) where  stands for (e) or (m) and k    is the wave number of the medium. The divergenceless nature of E and H doesn’t necessitate using both electric and magnetic vector potentials for expressing the field. Only one of these vector potentials can deliver a general representation of source-free electromagnetic fields if it possesses all three spatial components. However, expressing the electromagnetic field in terms of vector potentials with only one spatial component makes it necessary to use both electric and magnetic types.

Brown, R. , Thompson, M. , Magnetic Resonance Imaging Physical Principles and Sequence Design, New York: Wiley-Liss, 1999. [5] Spiegel, M. , Vector Analysis, New Delhi: Tata McGraw-Hill, 1973. Chapter 3 Propagation in Homogeneous Media Basic representations of the electromagnetic field in homogeneous media are presented in this chapter. Only linearly behaving time-invariant media are considered. This guarantees the validity of the frequency-domain representations of Maxwell’s equations and the related constitutive relations, which will be mainly used throughout this chapter and all subsequent chapters.

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