Observation of unidirectional backscattering-immune topological electromagnetic states
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Cites background or methods from "Observation of unidirectional backs..."
...With Equations (1) and (6), we notice that * * 2 2 1 2 * * 2 2 2 cos( ) ( )( 1) ( 1) sin( ) ( )( 1) ( 1) k k k k nor x nor k k k k nor y nor kd b a a b kd ib a ia b...
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...So, k in Equation (8) can be acquired by tan /k y x , which means that if we plot these points ( x , y ) at every wave vec- tors k in the equatorial plane of a Bloch sphere, the winding number of the system can be obtained visually....
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...With Equations (1) and (6), we notice that...
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...Combing Equations (7) and (8), we get / /2 k winding k d w k d...
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...The eigenvectors of Equation (1) for both upper and lower band are expressed as = 1 2 2 2 2 , 1 2 2 + cos sin cos sin 1 k kd i kd u kd kd ....
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