By Katsunari Okamoto
Fundamentals of Optical Waveguides is an important source for any researcher, specialist or pupil interested in optics and communications engineering. Any reader attracted to designing or actively operating with optical units should have a company grab of the rules of lightwave propagation. Katsunari Okamoto has provided this hard expertise in actual fact and concisely with numerous illustrations and equations. Optical idea encompassed during this reference comprises coupled mode idea, nonlinear optical results, finite aspect strategy, beam propagation technique, staircase concatenation process, in addition to a number of important theorems and formulation.
Since the book of the well-received first version of this ebook, planar lightwave circuits and photonic crystal fibers have absolutely matured. With this moment version the advances of those fibers besides different advancements on latest optical applied sciences are thoroughly unique. This accomplished quantity permits readers to totally research, layout and simulate optical atmospheres.
- Exceptional new bankruptcy on Arrayed-Waveguide Grating (AWG)
- In-depth dialogue of Photonic Crystal Fibers (PCFs)
- Thorough rationalization of Multimode Interference units (MMI)
- Full insurance of polarization Mode Dispersion (PMD)
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Extra resources for Fundamentals of Optical Waveguides
Here, the subroutine program of the most simple bisection method is shown in Fig. 5. The normalized propagation constant b is calculated for each normalized frequency v. 4 Plot of f v m b for the calculation of the eigenvalue. 5 Subroutine program of the bisection method to calculate the eigenvalue. curve, for TE mode. The mode number is expressed by the subscript m, such as TEm or TMm mode. The parameter in Fig. 6 is the measure of asymmetry . It is known that there is no cutoff for the lowest TE0 mode in the symmetrical waveguide = 0 .
99) It is known from the above equation that the Fraunhofer pattern f x y z is a spatial Fourier transformation of the field profile at the waveguide endface g x0 y0 0 . 2. Radiation Pattern of Gaussian Beam It has been described that the radiation pattern from the waveguide is expressed by Eq. 99). The accurate electromagnetic field distribution in the rectangular waveguide g x0 y0 0 is determined numerically by, for example, the finite element method, as described in Chapter 6. An analytical method such as Marcatili’s method does not give the accurate field distribution, especially for the cladding region.
7 Electric field distributions in the slab waveguide. Slab Waveguides 25 confinement factor in the core is important to calculate the threshold current density Jth of semiconductor lasers . The confinement factor is calculated by using Eqs. 35) The power-confinement factor and the ratio to the core width 2a/ for the fundamental mode are shown in Fig. 8. The vertical lines in the figure express the single mode core width. 5. Dispersion Equation for TM Mode Based on Eq. 6), the dispersion equation for the TM mode is obtained in a similar manner to that of the TE mode.