By Ibanescu, Mihai
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Additional info for Cylindrical Photonic Crystals
2-4 with the modes 34 Mode label Cutoff frequency Degeneracy OGF HMW OGF HMW Diff. 1: Summary of comparison between OmniGuide fiber (OGF) modes and their hollow metallic waveguide (HMW) counterparts. The first three modes are taken from Fig. 0a, and the next two are from Fig. 8a. 8a). In particular, we will compare the resonant modes to the metal waveguide modes in terms of their cutoff frequencies, group velocities, group velocity dispersions, degeneracies and mode symmetries. The lowest resonant mode in Fig.
However, it is an empirical law that the phase shift always has the general behavior shown in Fig. 2-6. Finally, we note that the point of maximum correlation between OmniGuide fiber modes and metallic modes, as defined above, occurs very close to the AO = 7r line. 6 Special Characteristics of the TE01 Mode For practical applications, it is of interest to identify the losses associated with the different modes of the waveguide. Metallic waveguides were the subject of intensive research aimed at utilizing them for long distance optical communications.
In Fig. 2-2, these modes are situated below the light line, in the light-blue regions of the w(k) diagram. Their field decays exponentially in the air regions, but extends throughout the dielectric mirror. Another category includes modes that decay both in the air regions and in the dielectric layers. These only exist as surface states between the core and the multilayer cladding. (They can also be found deeper into the multilayer structure if a defect is introduced by altering the thickness or the index of refraction of one or more layers).