By Govind Agrawal
Because the third version seemed, a quick evolution of the sector has happened. The fourth version of this vintage paintings offers an up to date account of the nonlinear phenomena taking place within optical fibers. The contents contain such vital themes as self- and cross-phase modulation, inspired Raman and Brillouin scattering, four-wave blending, modulation instability, and optical solitons. Many new figures were extra to assist illustrate the techniques mentioned within the book.New to this version are chapters on hugely nonlinear fibers and and the radical nonlinear results which have been saw in those fibers considering the fact that 2000. one of these bankruptcy can be of curiosity to humans within the box of recent wavelengths iteration, which has strength program in clinical prognosis and coverings, spectroscopy, new wavelength lasers and lightweight assets, and so forth. * remains to be bestseller offering designated resource of entire assurance with regards to nonlinear fiber optics * Fourth version is a totally up to date therapy of the nonlinear phenomena happening within optical fibers * comprises 2 NEW CHAPTERS at the homes of hugely nonlinear fibers and their novel nonlinear results
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Additional resources for Nonlinear Fiber Optics, Fourth Edition (Optics and Photonics)
Sample text
Wilhelmi, Nonlinear Optics and Quantum Electronics (Wiley, New York, 1986), Chap. 1. [4] P. N. Butcher and D. N. Cotter, The Elements of Nonlinear Optics (Cambridge University Press, Cambridge, UK, 1990), Chap. 2. [5] D. Marcuse, Theory of Dielectric Optical Waveguides (Academic Press, San Diego, CA, 1991), Chap. 2. [6] A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman and Hall, London, 1983), Chaps. 12–15. [7] J. A. Buck, Fundamentals of Optical Fibers, 2nd ed. (Wiley, New York, 2004), Chap.
The current density vector J and the charge density ρ f represent the sources for the electromagnetic field. In the absence of free charges in a medium such as optical fibers, J = 0 and ρ f = 0. The flux densities D and B arise in response to the electric and magnetic fields E and H propagating inside the medium and are related to them through the constitutive 25 26 Chapter 2. 6) where ε0 is the vacuum permittivity, μ0 is the vacuum permeability, and P and M are the induced electric and magnetic polarizations.
28) for optical pulses much longer than the time scale of the Raman response function hR (t). 2), R(t) for such pulses can be replaced by δ (t). As the higherorder dispersion term involving β3 , the loss term involving α1 , and the nonlinear term involving γ1 are also negligible for such pulses, Eq. 36) reduces to Eq. 28). For pulses wide enough to contain many optical cycles (pulse width >100 fs), we can simplify Eq. 36) considerably by setting α1 = 0 and γ1 = γ/ω0 and using the following Taylor-series expansion: |A(z,t − t )|2 ≈ |A(z,t)|2 − t ∂ |A(z,t)|2 .
