Abstract
Dielectric waveguides are key components of photonics; the success of optical communications relies to a great degree on the availability of glass fibers with extremely low losses. In contrast to (metallic) radio frequency waveguides that are bulky and lossy, photonic waveguides rely on total internal reflection in dielectrics, are very small in diameter and can transport optical fields over tens of kilometers before signal regeneration is necessary.
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Notes
- 1.
The ω 4-dependence can be understood from an inspection of Eq. (2.1): the field scattered from an inhomogeneity scales with the second time derivative \(\partial ^{2}P/\partial t^{2}\! \propto \!\omega ^{2}\); the radiated power is therefore proportional to ω 4.
- 2.
If the periodic longitudinal modulation is not cosinusoidal, it can be decomposed in a Fourier series, and the following analysis applies to a selected component of this expansion.
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Reider, G.A. (2016). Dielectric Waveguides. In: Photonics. Springer, Cham. https://doi.org/10.1007/978-3-319-26076-1_5
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DOI: https://doi.org/10.1007/978-3-319-26076-1_5
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