The increasing capabilities of digital computation have altered the way electromagnetic problems are being solved. It is no longer necessary that analytical solutions be obtained. Many practical problems with complicated geometries for which there are no closed form analytic solutions can now be solved numerically. Nevertheless, understanding the fundamental behavior (the essence) of the solutions must still be gained from analytic solutions of canonical problems. In other words, correct interpretation of the numerical results must depend on knowing the essence of guided waves on certain related canonical structures. Therefore, the primary goal of this book is to provide an insight into this essence.

Review of the wave guiding structures over the whole electromagnetic spectrum shows that, for frequencies below 30 GHz, mostly metal-based structures are used, and for frequencies above 30 GHz, increasing skin-depth losses in metal requires that low-loss structures be made without the use of any metallic material. Hence, the importance of pure dielectric waveguides for carrying large bandwidth signals is established. See Fig. 1.1 for a display of spectral regions in which certain guiding structures are useful. It is seen that the useful spectrum for dielectric waveguides can span more than seven decades, from 109 to 1016 Hz.


Optical Waveguide Dielectric Waveguide Dielectric Structure Photonic Crystal Waveguide Closed Form Analytic Solution 
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