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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... rotation, modes that differ only by a 120◦ rotation are expected to have the same frequency. Such modes are degenerate and are not necessarily orthogonal. However, since 卷ˆ is linear, any linear combination of these degenerate modes ...
... rotate the argument r of the vector field : r ' R1r . Therefore f ' ( r ) Rf ( r ' ) = Rf ( R ̄1r ) . Accordingly , we define the vector field rotator ÔR as = = ÔR · f ( r ) = Rf ( R ̄1r ) . ( 14 ) If rotation by R leaves the system ...
... rotation , mirror- reflection , or inversion symmetry , the wn ( k ) functions have that symmetry as well . This particular collection of symmetry operations ( rotations , reflections , and inversions ) is called the point group of the ...
... rotation operator , we define a mirror reflection operator ÔM ,, which reflects a vector field by using My on both its input and its output : Ôм , f ( r ) = M ̧f ( Mxr ) . · ( 18 ) Two applications of the mirror reflection operator ...
... rotations . — = A defect in this array introduces a localized mode , as shown in figure 14 . Experimentally , this defect was created by replacing one of the columns with a column of a different radius . Computationally , the defect was ...