Electromagnetic propagation in multi-mode random media
Reflecting the growing importance of multi-mode transmission media in communications, radar, sensors, remote sensing, and many other industrial applications, this work presents analytic methods for calculating the transmission statistics of microwave and optical components with random imperfections.
The emphasis here is on multi-mode waveguides, optical fibers, and directional couplers-described by the coupled line equations with random parameters-as well as multi-layer optical coatings used as windows, mirrors, or filters. The author clearly explains how to calculate the transmission statistics of these devices in terms of their coupling or optical thickness statistics, in both the time and frequency domains. This unique resource for engineers and researchers involved in the design of multi-mode transmission media:
* Focuses on matrix techniques and the various types of problems to which they can be applied
* Incorporates many new results developed by the author
* Discusses applications to problems of significant practical interest
* Demonstrates a purely analytical approach-not using Monte Carlo or other simulation methods
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Guides with White Random Coupling
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analysis Appendix approximation asymptotic average mode powers average powers average transfer functions band-pass Chapter coherent component coherent input complex constant propagation parameters corresponding coupled line equations coupled power equations coupling spectrum covariance D. T. Young denote diagonal dielectric differential equations elements Equa expected value four-mode given by Equation Higher order statistics Hilbert transform IEEE Transactions imperfections impulse response incoherent signal initial conditions Kronecker product Kronecker product methods l)Az lossless low-pass MAPLE Markov matrix norm matrix products mode amplitudes nondegenerate notation obtained Optical optical fibers output perturbation theory power fluctuations powers and cross-powers present results propagation constants random coupling random variables require result of Equation Section signal and spurious signal input signal mode small coupling spectra spectral density statistically independent submatrices Substituting Equation symmetric tion Transactions on Microwave transfer function statistics transmission statistics two-mode guide value of Equation vector wave white coupling yield the following zero