Download e-book for iPad: Lecture notes on electromagnetic fields and waves by Lukas Novotny

By Lukas Novotny

Those lectures hide the new release and unfold of electromagnetic fields. The wave equation and its options are derived from Maxwell's equations. additional themes are: fields in loose area, refraction and mirrored image at boundary surfaces, dipole radiation, Green's features, vector and scalar potentials, in addition to gentle changes. for you to comprehend the diffraction and scattering of waves, the sphere angular spectrum is derived and the transition to Fourier optics is mentioned. additionally mentioned are guided waves and resonators.

Last up to date: February 2013
From: https://www.photonics.ethz.ch/en/our-range/education/courses/electromagnetic-fields-and-waves.html

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33). 8) εi µi is the index of 62 CHAPTER 5. f. 4). For non-absorbing media and for supercritical incidence, all the power of the incident wave is reflected. One can anticipate that because no losses occur upon reflection at the interface there is no net energy transport into the medium of transmittance. In order to prove this fact we have to investigate the time-averaged energy flux across a plane parallel to the interface. This can be done by considering the z-component of the Poynting vector (cf.

Let us consider a plane wave impinging on such a flat interface between two media characterized by optical constants ε1 , µ1 and ε2 , µ2 . 3, the presence of the interface will lead to a reflected wave and a refracted wave whose amplitudes and directions are described by Fresnel coefficients and by Snell’s law, respectively. To derive the evanescent wave generated by total internal reflection at the surface of a dielectric medium, we refer to the configuration shown in Fig. 2. We choose the x-axis to be in the plane of incidence.

3) disappear. 4) only accounts for polarization and magnetization currents that a re loss-free, that is, all losses are associated with the j·E term. The time average of Eq. 6) where we have used complex notation. The term on the right defines the mean energy dissipation within the volume V . 7) The magnitude of S is called the intensity I(r) = | S(r) |. 1). The electric and magnetic fields are in phase, perpendicular to each other, and the ratio of their amplitudes is constant. 33). 8) εi µi is the index of 62 CHAPTER 5.

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Lecture notes on electromagnetic fields and waves by Lukas Novotny


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