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FEED LINE BASICS                                                        295



            cheese” longitudinal holes (white) of diameter  ≪  and period  ≪ . The main idea behind
            the artificially produced photonic crystals, called Photonic Band Gap (PBG) crystals, is to alter
            their structure in such manner that the light might pass freely through the crystal or be stopped
            and reflected back at certain frequency ranges defined by crystal structure. From an engineering
            point of view this structure are not more than 1D optical interference filters we will consider
            later in Section 8.4.12 of Chapter 8. According to Figure 8.4.16a, the operation principle of 1D
            periodic structure is based on the interference of multiple passing and reflected EM waves. As
                                          we know,  the acquired phase shift of EM  waves is
                                          defined by their frequency dependable  propagation
                                          coefficient k. As soon as all or most of the passing waves
                                          get together in phase at some frequencies we have the
                                          filter bandwidth while the in-phase grouping of reflected
                                          waves  means that the  filter reflects at that frequencies
                                                 having  bandstop.  The  material  surrounding the  central
                                          hole and periodic PBG structure are developed in such
                                          manner that it is equivalent to a bandstop filter
                                          preventing the “lion’s share” of EM energy from
                Figure 6.3.6 Illustration of   propagating there. The result is a cable that in the lab was
                  PBG core with hole      able  to  move   data,  using  frequency-division
                                                     9
                                          multiplexing , at a rate of 73.7 terabits per second, which
            is approximately 1000 times better than standard fiber cable. Additional advantage of hollow-
            core fiber is ability to withstand the loss increase due to fiber bending that is especially critical
            for cable installation in the buildings. When a fiber cable is bent excessively, the optical signal
            may escape from core through the fiber cladding and disappear. The standard bend radius
            requirement is that it should exceed generally 20 - 25mm. The test of single hollow-core fiber
            demonstrates that the bend of 5 mm radius adds 0.1 dB loss only.

            6.3.4   Optical Waveguides
            Now we are ready to consider one more type of optical feed called optical waveguides. Their
                                                 primary  applications  are  photonic  integrated
                                                 circuits. Several types of optical waveguides are
                                                 displayed schematically in  Figure 6.3.7: a)
                                                 buried channel waveguide, b) ridge waveguide,
                                                 c)  rib  waveguide,  and d) strip-loaded
                  Figure 6.3.7 Optic waveguide   waveguide. Their main area of applications is
                                                 photonic integrated circuits for optical
            processors, splitting and combining light beams,  fast data transmission between computer
            components, etc. Apparently, waveguide capability to carry the optical EM wave is based on
            total internal reflection we just have discussed above. Each waveguide consists of two main
            parts: a high-index core shown in red and one or two low-index cladding stabs shown in blue.
            Note that core shape is not necessarily rectangular.



            9    In telecommunications, frequency-division multiplexing (FDM) is a technique  by which the  total
            bandwidth available in a communication medium is divided into a series of non-overlapping frequency
            sub-bands,  each  of  which  is  used  to  carry  a  separate  signal  (see  Wikipedia,
            https://en.wikipedia.org/wiki/Frequency-division_multiplexing)
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