The Response of Two-Dimensional Periodic Structures to Point Harmonic Forcing

Langley, R.S.

doi:10.1006/jsvi.1996.0542

Cited by 117 publications

(113 citation statements)

References 0 publications

Supporting

Mentioning

107

Contrasting

Order By: Relevance

“…In particular, we consider the structured 2D reservoir of bosonic modes with square symmetry that we studied in the main manuscript [1], and focus on the situation where the QE transition frequency lies within the band. Apart from the long range character of the interactions expected from the reduced dimensionality, we analyze several effects such as non-perturbative relaxation of a single QE which is accompanied by directional emission into the bath, as also predicted for a classical source of light [63] and sound [64]. The interplay between the directionality, position and relative phases between QEs leads to super/subradiant behaviour for two QEs, This phenomenon has been discussed for a similar model in Ref.…”

Section: Introductionmentioning

confidence: 82%

See 1 more Smart Citation

Markovian and non-Markovian dynamics of quantum emitters coupled to two-dimensional structured reservoirs

2017

View full text Add to dashboard Cite

The interaction of quantum emitters with structured baths modifies both their individual and collective dynamics. In Ref.[1] we show how exotic quantum dynamics emerge when QEs are spectrally tuned around the middle of the band of a two-dimensional structured reservoir, where we predict the failure of perturbative treatments, anisotropic non-markovian interactions and novel super and subradiant behaviour. In this work, we provide further analysis of that situation, together with a complete analysis for the quantum emitter dynamics in spectral regions different from the center of the band.

show abstract

Section: Introductionmentioning

confidence: 82%

“…Note that all this can be associated to the appearance of the saddle points mentioned in the previous item [63,64].…”

Section: Systemmentioning

confidence: 98%

Markovian and non-Markovian dynamics of quantum emitters coupled to two-dimensional structured reservoirs

2017

View full text Add to dashboard Cite

show abstract

“…This configuration is expected to be characterized by higher equivalent stiffness along the longitudinal direction, and lower stiffness along the vertical direction, and thus appears as inherently anisotropic. Stiffness directionality has previously been described as one essential mechanism for the generation of frequency "caustics" [26,27], which in turn are responsible for the angular concentration of wave vectors at specific frequencies and their directional interference. In addition, the double-C perforations naturally define a resonating unit within the unit cell, which leads to localized modes and The thickness of the plate is 1 mm.…”

Section: Configurationmentioning

confidence: 99%

Directional bending wave propagation in periodically perforated plates

Andreassen

Manktelow

Ruzzene

2015

Journal of Sound and Vibration

View full text Add to dashboard Cite

show abstract

“…Since then, a lot of work on modelling and analysis of PSs has been reported in the literature (Mead & Mallik 1976;Rao & Mallik 1977;Singh & Mallik 1977;Li & Benaroya 1992;Langley 1996;Gonella & Ruzzene 2008a,b;Mead 2009). This is primarily because *Author for correspondence (mira@aero.iitb.ac.in).…”

Section: Introductionmentioning

confidence: 99%

A wavelet-based model of one-dimensional periodic structure for wave-propagation analysis

Sonekar

2009

Proc. R. Soc. A.

View full text Add to dashboard Cite

In this paper, a wavelet-based method is developed for wave-propagation analysis of a generic multi-coupled one-dimensional periodic structure (PS). The formulation is based on the periodicity condition and uses the dynamic stiffness matrix of the periodic cell obtained from finite-element (FE) or other numerical methods. Here, unlike its conventional definition, the dynamic stiffness matrix is obtained in the wavelet domain through a Daubechies wavelet transform. The proposed numerical scheme enables both time-and frequency-domain analysis of PSs under arbitrary loading conditions. This is in contrast to the existing Fourier-transform-based analysis that is restricted to frequencydomain study. Here, the dispersion characteristics of PSs, especially the band-gap features, are studied. In addition, the method is implemented to simulate time-domain wave response under impulse loading conditions. The two examples considered are periodically simply supported beam and periodic frame structures. In all cases, the responses obtained using the present periodic formulation are compared with the response simulated using the FE model without the periodicity assumption, and they show an exact match. This validates the accuracy of the periodic assumption to obtain the timeand frequency-domain wave responses up to a high-frequency range. Apart from this, the proposed method drastically reduces the computational cost and can be implemented for homogenization of PSs.

show abstract

The Response of Two-Dimensional Periodic Structures to Point Harmonic Forcing

Cited by 117 publications

References 0 publications

Markovian and non-Markovian dynamics of quantum emitters coupled to two-dimensional structured reservoirs

Markovian and non-Markovian dynamics of quantum emitters coupled to two-dimensional structured reservoirs

Directional bending wave propagation in periodically perforated plates

A wavelet-based model of one-dimensional periodic structure for wave-propagation analysis

Contact Info

Product

Resources

About