Photonic Crystals: Molding the Flow of Light - Second EditionSince it was first published in 1995, Photonic Crystals has remained the definitive text for both undergraduates and researchers on photonic band-gap materials and their use in controlling the propagation of light. This newly expanded and revised edition covers the latest developments in the field, providing the most up-to-date, concise, and comprehensive book available on these novel materials and their applications.
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... orthogonal , they can be obtained by a variational principle , and they may be catalogued by their symmetry properties ( see , for example Shankar , 1982 ) . All of these same useful properties hold for our formulation of electromag ...
... orthogonal modes. If two harmonic modes have equal frequencies L1 =L2 , then we say they are degenerate and they are not necessarily orthogonal. For two modes to be degenerate requires what seems, on the face of it, to be an astonishing ...
... orthogonal modes of different frequency have different numbers of spatial nodes holds rather generally . In fact , a given harmonic mode will generally contain more nodes than lower - frequency modes . This is analogous to the statement ...
... orthogonal to Ho , and so on . In addition to providing a useful characterization of the modes of Ô , the variational theorem is also the source of the heuristic rules about modes that were alluded to earlier in this section . This is ...
... orthogonal : their inner product is ( H , H ) + ( H , SH ) , where the first term is positive and the second term is arbitrarily small for integration over a finite domain , i.e. a system with spatially bounded modes . Thus , the ...