Slow light in photonic crystals

What is slow light?......Page 1
Slow light in media with strong temporal dispersion......Page 2
Slow light in spatially periodic arrays......Page 4
Examples of periodic arrays supporting slow light......Page 5
Stationary points of dispersion relations and slow modes......Page 7
Slow light in a finite photonic slab......Page 10
Resonance effects in a finite photonic slab......Page 12
Photonic slab as a delay line......Page 15
Slow light in periodic layered media......Page 16
Propagating and evanescent eigenmodes in periodic stacks of anisotropic layers......Page 17
Photonic band edge......Page 19
Stationary inflection point: the frozen mode regime......Page 20
Degenerate band edge......Page 23
Axial dispersion relation: basic definitions......Page 25
Spectral asymmetry in periodic stacks......Page 26
Reduced time-harmonic Maxwell equations......Page 30
The transfer matrix formalism......Page 32
Periodic layered arrays. Bloch eigenmodes.......Page 33
Symmetry of the dispersion relation......Page 35
Spectral asymmetry......Page 36
The J-scalar product......Page 37
Energy flux in stratified media......Page 38
Energy flux in periodic stratified media......Page 39
Scattering problem for a periodic semi-infinite stack......Page 40
Matrix of reflection coefficients of a semi-infinite periodic stack......Page 41
Basic definitions......Page 42
Basic properties of the space of relevant eigenmodes......Page 46
Matrix of reflection coefficients and the flux quadratic form......Page 48
Transfer matrix at and near a point of degeneracy......Page 51
Spectral perturbation theory of the transfer matrix at a point of degeneracy......Page 56
Eigenvalues of the transfer matrix......Page 62
Eigenvectors of the transfer matrix......Page 64
Eigenvalues of the transfer matrix......Page 68
Eigenvectors of the transfer matrix......Page 69
Eigenvalues of the transfer matrix......Page 73
Eigenvectors of the transfer matrix.......Page 74
Transfer matrix and the flux for an inflection point......Page 76
Transfer matrix and the fluxes for a degenerate point of order 4......Page 80
Transfer matrix and the fluxes for a degenerate point of order 2......Page 81
Perturbation theory for the matrix of reflection coefficients.......Page 82
Relevant modes near an inflection point.......Page 83
Relevant modes near a degeneracy point of order 4.......Page 86
Relevant modes near a degenerate point of order 2......Page 88
Asymptotic analysis summary......Page 90
Summary......Page 92