An assessment of coherent coupling through radiation fields in time varying slab waveguides

Bekker, E.V.; Vuković, Ana; Sewell, P.; Benson, T.M.; Sakhnenko, N.; Nerukh, A.

doi:10.1007/s11082-007-9104-6

Cited by 13 publications

(5 citation statements)

References 19 publications

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“…This approach guarantees accurate back transformation with controllable accuracy and allows extracting and interpreting physical phenomena easily. This method has been already successfully applied to a variety of time domain problems with different geometries [22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Whispering Gallery Mode Microdisk Resonator with Dynamic Material Properties

Sakhnenko

2015

Springer Series in Optical Sciences

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Accurate analysis of electromagnetic fields evolution in whispering gallery (WG) mode resonator with time dependent material parameters is presented. The excited fields are described by means of a rigorous mathematical approach that is based on the analytical solution in the Laplace transform domain and accurate evaluation of residues at singular points of the obtained functions. Transient response of WG mode on a sole time switching material parameters as well as on a pulse and packet of pulses are considered. IntroductionOptical resonators have been attracting increasing attention recently due to their potential in a variety of scientific and engineering applications including low-threshold lasers [1], ultra-small filters [2] and miniature biosensors [3,4]. In the simplest cases, such resonators have the shape of a thin disk, a ring or a sphere. In the vicinity of a curved surface whispering gallery (WG) modes can be excited due to almost total internal reflection of the light. Quality (Q) factor of these oscillations are extremely high because light becomes trapped within the resonator.Dynamic resonators and photonic systems, in which material parameters can be varied by external forces, have pronounced benefit for their use in all-optical switchers and tunable filters [5] and represent a powerful approach for all-optical control of light. Permittivity modulation within microcavity systems can be exploited to stop, store and time-reverse of light pulse [6]. Modulation of permittivity in photonic crystals leads to changes of light colour [7] and reversed Doppler shifts [8]. Dynamic control of photonic bandgap can be used to coherently convert a propagating light pulse into stationary excitation which is effectively trapped in the medium [9]. Tuning in time of the refractive index can be used to realize fast frequency shift in linear material microcavity in photonic crystal [10] or dynamic WG mode N. Sakhnenko ( )

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Section: Introductionmentioning

confidence: 99%

Whispering Gallery Mode Microdisk Resonator with Dynamic Material Properties

Sakhnenko

2015

Springer Series in Optical Sciences

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“…This approach provides accurate back transformation of the functions and allows to understand and look inside the fundamental processes. This method has already been successfully applied to solve the various time domain problems with different geometries [1,[9][10][11]. The accurate solution will reveal peculiarities of nonstationary electromagnetic processes in canonical objects, which will give a possibility to formulate recommendations for applications in new technologies to control electromagnetic radiation.…”

Section: Introductionmentioning

confidence: 99%

Complex source point concept in the modelling of dynamic control for optical beam deflection

Sakhnenko¹

2012

Semicond. Phys. Quantum Electron. Optoelectron.

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Abstract.A rigorous analytical method for transient dynamics description in a cylindrical lens is developed and used to describe a possibility of beam controlled deflection via material tuning. The complex source point concept is used to simulate beam passing through the lens. Details of both the transient response and steady-state regime are described. The excited fields are described using a rigorous mathematical approach based on analytical solution in the Laplace transform domain and accurate evaluation of residues at singular points of the obtained functions.

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“…Impressive achievements in the practical solutions of such problems in experiments and the production of working devices presently exceed the theoretical development for such non-stationary problems. The latter are restricted to 1-D or 2-D layered structures Sakhnenko et al 2006Sakhnenko et al , 2007Sakhnenko et al , 2008Sakhnenko et al , 2009Bekker et al 2007) and, more importantly, to the fields that change harmonically in time. Real objects are three dimensional and ultrafast processes have a wide bandwidth, calling for a solution of the 3-D initial-boundary problems.…”

Section: Introductionmentioning

confidence: 99%