Scattering and Localization of Classical Waves in Random Media

Photonic Transmission Spectra in One-Dimensional Fibonacci Multilayer Structures Containing Single-Negative Metamaterials

“…In other words, due to a long-range order a quasiperiodic system can form forbidden frequency regions called pseudo band gaps similar to the bandgaps of a photonic crystal and simultaneously possess localized states as in disordered media [21]. Among the various quasiperiodic structuress, the Fibonacci binary quasiperiodic structure has been the subject of extensive efforts in the last two decades.…”

Localization-induced coherent backscattering effect in wave dynamics

“…Dynamic Information is contained in the phase derivative αφ (2) which has the dimension of a time and is called the singlemode delay time [11,13]. The intensity / and the delay time φ' can be recovered from the product of reflection matrix elements…”

“…The jomt distnbution function P(C 0 ,Ci) of these complex numbers can be calculated in the same way äs P(B l ,B 2 ) In Appendix C we obtam…”

“…The factonzaüon of the jomt distnbution function P(C Q ,Ci) discussed m See IIID can be seen äs a consequence of the high density of anomalously large WignerSmith delay times r, m the Laguerre ensemble [Eq (8)] The distnbution of the laigest time r max =max 1 T I follows from the distnbution of the smallest eigenvalue m the Laguerre ensemble, calculated by Edelman [23] It is given by P( yN 2 (36)…”

“…The two most prominent mterference effects ansmg from multiple scattermg are coherent backscattering and wave localization [1][2][3][4][5][6] Both effects are related to the statte mtensity of a wave reflected 01 transmitted by a medmm with randomly located scatterers Coherent backscattering is the enhancement of the reflected mtensity m a nanow cone around the angle of incidence, and is a result of the systematic construcüve mterference in the presence of time-ieversal symmeüy [4,5] Locahzation anses from systemaüc destructive mterference, and suppresses the transmitted mtensity [6] This paper presents a detailed theory of a recently discovered [7] mterplay between coherent backscattering and localization m a dynamic scatteimg property, the smgle-mode delay time of a wave reflected by a disordered waveguide The smgle-mode delay time is the denvative φ'= αφ/άω of the phase φ of the wave amphtude with respect to the frequency ω It is hnearly lelated to the Wigner-Smith delay times of scattermg theory [8][9][10], and is the key observable of recent expenments on multiple scattermg of microwaves [11] and light waves [12] Van Tiggelen, et al [13] developed a statistical theoiy for the distubution of φ' m a waveguide geometiy (where angles of incidence aie discretized äs modes) Although the theoiy was woiked out mamly for the case of transrmssion, the imphcations for leflection are that the distribution P (φ 1 ) does not depend on whether the detected mode n is the same äs the incident mode m 01 not Hence it appears that no coherent backscattenng effect exists for…”