By Paul Liao (Eds.)
This textbook provides the idea underlying those crucial applied sciences - optical fiber communications, built-in optics, and optical sensors. Taking a step by step layout, Marcuse teaches the idea of sunshine transmission in optical fibers and in dielectic optical waveguides. The textual content contains tools for calculating modes and their interactions. This moment variation includes new fabric on coupled mode thought, coupled energy concept, approximate and numerical tools, nonlinear results, and soliton propagation
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Additional resources for Theory of Dielectric Optical Waveguides
With the same assumptions we can write Eq. 6-22) r and obtain from Eq. 6-24) ÷ and from Eq. 6-25) that follows from Eqs. 6-28) We now obtain immediately from Eq. 6-24) Íð/2 U i = rw „2 . 6-29) / 48 The Asymmetric Slab Waveguide and from Eqs. 6-27) finally yields -(Íðâ) í 2 2 (L6 ' - wrum " 31) Our approximation is apparently valid for W > 1. It is noteworthy that this approximate solution implies that the leaky waves of the hollow dielectric waveguide also grow in transverse direction away from the core since v is negative, so that Eq.
5-3) for the real part of the propagation constant and Eq. 5-13) for twice its imaginary part, which is the power loss coefficient. However, there is a difference in the behavior of the loss of leaky waves of ordinary waveguides compared to the leaky waves of hollow dielectric waveguides. 6 Hollow Dielectric Waveguides 45 that either ñ or Ä of Eqs. 5-6) is very nearly zero, so that we have ê > p. 5-53) for the loss coefficient. In low-loss hollow dielectric waveguides, we must assume that the ray impinges on the core boundary with very small angles, so that ê, given by Eq.
The conclusion to be reached from this discussion is that one should regard the loss coefficient obtained from the complex solutions of the eigenvalue equation with some reservation, since it is not entirely clear what constitutes loss in this theory. 5-13) was obtained from the idea of counting all energy as lost once it escapes from the core. The intuitive theory does not actually describe a mode but a transient field condition. However, this is the situation one encounters as a wave enters a waveguide section where it is cutoff.