Theory of Dielectric Optical Waveguides by Paul Liao (Eds.)
By Paul Liao (Eds.)
This textbook offers the idea underlying those crucial applied sciences - optical fiber communications, built-in optics, and optical sensors. Taking a step by step structure, Marcuse teaches the speculation of sunshine transmission in optical fibers and in dielectic optical waveguides. The textual content comprises equipment for calculating modes and their interactions. This moment version comprises new fabric on coupled mode conception, coupled strength conception, approximate and numerical equipment, nonlinear results, and soliton propagation
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Extra resources for Theory of Dielectric Optical Waveguides
Sample text
The loss coefficient of Eq. 5-46) can be written in the following form if we use v = — 1 and set u % V > 1 in Eq. 5-52) This approximation also holds only for high-order modes, so that we could replace u with Íð /2 according to Eq. 5-50). 5-13) we must first introduce the specialization to a symmetric slab waveguide. Setting Ä = ñ and using the fact that for a high-order, relatively low-loss mode we must have ê > ñ, we obtain from Eq. 5-53) Next we replace â in Eq. 5-3) and use Eq. 6 Hollow Dielectric Waveguides 43 We thus see once more that for high-order modes our intuitive theory agrees with the result obtained from the leaky mode solutions of the eigenvalue equation.
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. 6-13) is an exponentially growing function. 6-33) is identical with Eq.
And odd modes of the symmetric hollow dielectric waveguide. For very large values of W, the trajectory of solutions points moves up along the positive imaginary í axis reaching v = 0 and v = oo at W = oo. For decreasing values of W, the values of v become increasingly more negative, while v decreases. 6-35) s with even integer values of í for even modes and odd í values for odd modes. The assignment of even and odd integers to even and odd modes is again reversed compared to the corresponding situation for ordinary dielectric waveguides.