Total internal reflection in gain medium slab

Виноградов, А. П.; Zyablovsky, A. A.; Dorofeenko, A. V.; Pukhov, A. A.

doi:10.1007/s00339-011-6740-2

Cited by 4 publications

(8 citation statements)

References 13 publications

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“…Due to the possibility of instabilities, we use the inverse Laplace transform to express the time-domain fields from frequency components. This analysis, which has been discussed in the literature previously [6][7][8][9], gives physically reasonable results. However, it has the disadvantage of predicting absolute instabilities related to the infinite extent of the plane wave in the x-direction.…”

Section: Introductionsupporting

confidence: 70%

“…In the deformation of the integration paths in (8) to the ones in (10), we required that it is possible to deform the inverse Fourier transform path wrt. k x , to avoid the poles crossing the real k x -axis as we reduce Im ω from γ towards 0.…”

Section: A Causal Source Of Finite Widthmentioning

confidence: 99%

“…It is perhaps not entirely obvious that the Fourier transform in x exists, provided the Laplace transform in t is used. To justify (8), we can use one of the following two approaches: Either we just assume the existence of the Fourier-Laplace transform, and verify that the solution in the time-spatial domain is consistent with the assumptions. Or we consider the transforms in the opposite order.…”

Section: A Causal Source Of Finite Widthmentioning

confidence: 99%

“…To avoid making the analysis unnecessarily complicated we first consider only a single plane wave component k x . Such an analysis of the response of an active slab to a causal excitation, where each plane wave component is treated separately, has been done in [7,8]. For concreteness, we consider a source with time dependency…”

Section: A Causal Sourcementioning

confidence: 99%

“…Clearly, such an analysis is appealing due to its simplicity, and may give correct results for certain situations. However, it has been argued that this analysis is dangerous in general, and may lead to unphysical results [6][7][8][9]: Real physics happens in the time-and spatial domain, and to justify the monochromatic plane wave analysis, Fourier transforms of the fields with respect to time t and the transversal coordinate x must exist.…”

Section: Introductionmentioning

confidence: 99%

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Fourier–Laplace analysis and instabilities of a gainy slab

Hågenvik

Skaar

2015

J. Opt. Soc. Am. B

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The idealization of monochromatic plane waves leads to considerable simplifications in the analysis of electromagnetic systems. However, for active systems this idealization may be dangerous due to the presence of growing waves. Here we consider a gainy slab, and use a realistic incident beam, which is both causal and has finite width. This clarifies some apparent paradoxes arising from earlier analyses of this setup. In general it turns out to be necessary to involve complex frequencies ω and/or complex transversal wavenumbers kx. Simultaneously real ω and kx cannot describe amplified waves in a slab which is infinite in the transversal direction. We also show that the only possibility to have an absolute instability for a finite width beam, is if a normally incident plane wave would experience an instability.

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Section: Introductionsupporting

confidence: 70%

Section: A Causal Source Of Finite Widthmentioning

confidence: 99%

Section: A Causal Source Of Finite Widthmentioning

confidence: 99%

Section: A Causal Sourcementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Fourier–Laplace analysis and instabilities of a gainy slab

Hågenvik

Skaar

2015

J. Opt. Soc. Am. B

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Active isotropic slabs: conditions for amplified reflection

Perez

Matteo

Etcheverry

et al. 2012

J. Opt.

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We analyse in detail the necessary conditions to obtain amplified reflection (AR) in isotropic interfaces when a plane wave propagates from a transparent medium towards an active one. First, we demonstrate analytically that AR is not possible if a single interface is involved. Then, we study the conditions for AR in a very simple configuration: normal incidence on an active slab immersed in transparent media. Finally, we develop an analysis in the complex plane in order to establish a geometrical method that not only describes the behaviour of active slabs but also helps to simplify the calculus.

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Propagation of Gaussian beams through active layers

et al. 2013

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Knowledge of propagation, transmission and reflection properties of space-and time-limited beams is relevant to the classical description of electromagnetic field modes in laser and other optoelectronic devices. For many reasons, Gaussian beams have been the most widely studied; for instance, they correspond to the fundamental mode in cylindrical or rectangular resonators, and they are often desirable at the output of amplifiers. To describe the behavior of beams with a Gaussian amplitude profile, the usual method consists of making an approximation in Maxwell equations, such that the solution of the approximate equations is a Gaussian beam. In this work we propose a different method to study Gaussian beams in active media, describing the beam by a continuous spectrum (spatial or temporal) of plane waves. We consider active media far from saturation, i.e. the gain is independent of the electric field amplitude. As a first step in the study of propagation, transmission and reflection of pulses through thin layers of active media, we analyze the properties of the transmitted beam in the case of a thin slab with gain between two isotropic transparent semi-infinite media, assuming normal incidence of a two-dimensional, space-or time-limited gaussian beam.

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Total internal reflection in gain medium slab

Cited by 4 publications

References 13 publications

Fourier–Laplace analysis and instabilities of a gainy slab

Fourier–Laplace analysis and instabilities of a gainy slab

Active isotropic slabs: conditions for amplified reflection

Propagation of Gaussian beams through active layers

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