By St. John C.E.
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Extra info for A Search for an Einstein Relativity-Gravitational Effect in the Sun (1917)(en)(3s)
Bound and radiation modes both have real propagation constants; they can propagate indeﬁnitely without loss. Bound modes are localised (with most of their power close to and within the core of the ﬁbre). They can have simple or complicated structures as in Figs. 1(a) and (b) but the power outside any given radius decays exponentially. Radiation modes are delocalised (see Figs. 1(c) and (d)): although the intensity proﬁle decays, it does not decay very rapidly and the power outside any given radius is always inﬁnite.
Single-mode photonic band gap guidance of light in air. Science, 285:1537–9. Dall, R G, Hoogerland, M D, Tierney, D, Baldwin, K G H, and Buckman, S J (2002). Single mode hollow optical ﬁbres for atom guiding. Applied Physics B: Lasers and Optics, 74(1):11–8. Daum, W, Krauser, J, Zamzow, P E, and Ziemann, O (2002). POF Polymer Optical Fibers for Data Communication. Springer Verlag, Berlin, Germany, ﬁrst edition. 1 History and Applications of Polymer Fibres and Microstructured Fibres 17 Dellemann, G, Engeness, T D, Skorobogatiy, M, and Kolodny, Uri (2003).
1 Numerical Aperture When wavelengths are much smaller than the size of spatial structures a geometric optics approach can be used. In the geometric optics limit, a ray will travel down a ﬁbre if its inclination to the core-cladding boundary is less than the critical angle required for total internal reﬂection. Thus optical ﬁbres will only propagate light that enters within a certain range of angles, known as the acceptance cone (see Fig. 4). The vertex half-angle of this cone is called the acceptance angle, θmax .