Download Electromagnetic Propagation in Multi-mode Random Media by Harrison E. Rowe PDF
By Harrison E. Rowe
Reflecting the turning out to be significance of multi-mode transmission media in communications, radar, sensors, distant sensing, and lots of different business purposes, this paintings provides analytic tools for calculating the transmission facts of microwave and optical elements with random imperfections. The emphasis here's on multi-mode waveguides, optical fibers, and directional couplers-described through the coupled line equations with random parameters-as good as multi-layer optical coatings used as home windows, mirrors, or filters. the writer essentially explains find out how to calculate the transmission records of those units by way of their coupling or optical thickness facts, in either the time and frequency domain names. This specific source for engineers and researchers interested in the layout of multi-mode transmission media: * specializes in matrix ideas and some of the forms of difficulties to which they are often utilized * contains many new effects constructed by way of the writer * Discusses purposes to difficulties of important sensible curiosity * Demonstrates a simply analytical approach-not utilizing Monte Carlo or different simulation tools
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Extra resources for Electromagnetic Propagation in Multi-mode Random Media
Sample text
995–1043. 20 COUPLED LINE EQUATIONS 2. Huang Hung-chia, Coupled Mode Theory, VNU Science Press, Utrecht, The Netherlands, 1984. 3. , Robert E. Krieger, Malabar, FL, 1989. 4. , Academic Press, New York, 1991. 5. S. E. Miller, “Coupled Wave Theory and Waveguide Applications,” Bell System Technical Journal, Vol. 33, May 1954, pp. 661–719. 6. H. E. Rowe and W. D. Warters, “Transmission in Multimode Waveguide with Random Imperfections,” Bell System Technical Journal, Vol. 41, May 1962, pp. 1031–1170.
Take the limit as z → 0. 60). 4. Treatment of general frequency-dependent Cij , αi , and βi is straightforward by the present methods [3]. Both co- and cross-variances of the transfer functions are obtained by this analysis. We do not assume that different transfer functions are uncorrelated [2, 4]. 2). 7. 6 for transfer-function statistics was carried out in the frequency domain. 2, with frequency-independent attenuation α1 and α2 , coupling coefficient C0 , and group velocities v1 and v2 . 103) The expected value and covariance of the transfer function are independent of the frequency f .
For more than two modes, there are too many parameters for a general treatment. We therefore consider a particular 4-mode guide described in Appendix F, and use MAPLE to obtain the average mode powers. Finally, the nondegenerate case, in which all modes have distinct propagation constants, yields much simpler approximate results. These approximate results are readily modified to include degenerate modes, while retaining substantial simplification from the general exact results if most modes are nondegenerate.