Toroidal Multipole Moments in Classical Electrodynamics: An Analysis of their Emergence and Physical Significance

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Springer, Feb 5, 2016 - Science - 87 pages

Stefan Nanz investigates the necessity for three multipole families in classical electrodynamics. He shows that by imposing symmetry and parity constraints, it is sufficient to deal with only two multipole families. This implies that the toroidal multipole moments do not represent an independent multipole family, and they only emerge in the long-wavelength limit.

 

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Contents

1 Introduction and Overview
1
2 Why another Multipole Family?
5
3 Basic Equations and Notations
13
4 Multipole Expansion of the Potentials
20
5 Direct Multipole Expansion of Electromagnetic Fields
51
6 Connection and Comparison of the Different Approaches
63
7 Summary and Outlook
69
Bibliography
73
Detailed Calculations
78
Tabulated Functions
84
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About the author (2016)

Stefan Nanz studied physics at Karlsruhe Institute of Technology and wrote his Master Thesis in the group of Prof. Dr. Carsten Rockstuhl. There, he is now a PhD student and working on tailored disorder of scattering interfaces and photon management in solar cells.

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