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Electromagnetic Radiation

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Tailored Light 1

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Abstract

The theory of electromagnetic radiation belongs to the elementary foundations of laser technology.

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Notes

  1. 1.

    1 eV is the energy that an electron has acquired after passing through the potential difference of 1 V: 1 eV = e · 1 V = 1.6 × 10−19 J, with the elementary charge e = 1.6 × 10−19 C.

  2. 2.

    ε and μ are then written as 3 × 3 matrices.

  3. 3.

    This is only valid in classical theory, not in quantum electrodynamics. See also page XX.

  4. 4.

    For a long time, the ether theory of light was adhered to: ether represented the propagation medium for light waves and was thought to fill the entire universe.

  5. 5.

    The polarization of the wave. The concept of polarization is introduced in Sect. 3.3.3.

  6. 6.

    Instead of this, the imaginary part could have also been chosen as a real field strength. These two possibilities reflect two independent, real solutions from Eq. 3.21.

  7. 7.

    Purely transversal waves only exist in uncharged, unlimited space. The presence of charges on limiting surfaces always induces longitudinal components.

  8. 8.

    This is then the so-called Fourier representation of the solution.

  9. 9.

    In general, this results in elliptically polarized radiation. Only with a determined orientation of the λ/4 slab to the polarization level is the resulting radiation circularly polarized: the electric field vector has to be divided into exactly the same parts on both refraction directions of the slab.

  10. 10.

    Here it was assumed that ε and μ are scalar. In the tensorial case, the expressions in Eqs. 3.55 and 3.56 have to be written as quadratic forms, but in principle nothing changes due to this.

  11. 11.

    In general, all relations between the frequency ω and the wave number k are called dispersion relations; thereby, the wave number in the medium is proportional to the refraction index.

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Correspondence to Reinhart Poprawe .

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Poprawe, R., Boucke, K., Hoffman, D. (2018). Electromagnetic Radiation. In: Tailored Light 1. RWTHedition. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01234-1_3

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  • DOI: https://doi.org/10.1007/978-3-642-01234-1_3

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