Classical Electrodynamics by Kurt Lechner

Author:Kurt Lechner
Language: eng
Format: epub
ISBN: 9783319918099
Publisher: Springer International Publishing

(11.30)

where , and are real numbers. For a generic polarization direction forming with, say , the angle , the spectral weights (11.21) then take the form

(11.31)

It is easy to recognize Eqs. (11.24) and (11.29) as particular cases of this formula. Completely analogous results hold for aperiodic systems.

11.3 Spectral Analysis in the Non-relativistic Limit

In the non-relativistic limit the continuous and discrete spectral weights (11.12) and (11.14) take particularly simple forms. In fact, in this limit the electric field in the wave zone can be expressed in terms of the dipole moment (8.​47) as, see Eq. (8.​51),

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