Bound states in photonic Fabry-Perot resonator with nonlinear off-channel defects

Bulgakov, Evgeny N.; Sadreev, Almas F.

doi:10.1103/physrevb.81.115128

Cited by 48 publications

(60 citation statements)

References 67 publications

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“…Therefore a probing of BSC features in light transmittance by injecting light of monochromatic laser is a challenge for experiment. We show that account of the Kerr effect can lift this problem making the BSC point self adaptive without a tuning of material parameters of the defect rods [25,26].…”

Section: Nonlinear Casementioning

confidence: 99%

“…5 (a) After substitution of the nonlinear term ω 1 → ω 1 − λ 11 |A 1 | 2 into Eq. (2) and solving of self-consistent nonlinear equations we obtain two different families of the solutions [25]. The first family of solutions inherits the linear case and for small injecting power has typical resonance behavior for the mode intensities Fig.…”

Section: With Normalization [35]mentioning

confidence: 99%

“…Therefore incoming light excites the BSC and forms novel type of complicated response crucially different from BreitWigner or Fano type of resonances. Thus the nonlinearity opens a new page in the BSC phenomenon [20,25] and promises novel nonlinear effects [25,[27][28][29] in the light transmission.…”

Section: Introductionmentioning

confidence: 99%

“…The BSC appears by self-adaptive way due to the Kerr shift of the dielectric constant of the microcavity [25] that transforms the BSC point into the BSC line in the space of frequency and dielectric constant. Also nonlinearity lifts the principle of linear superposition to give rise to that injecting wave interacts with the BSC.…”

Section: Introductionmentioning

confidence: 99%

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Robust bound state in the continuum in a nonlinear microcavity embedded in a photonic crystal waveguide

Bulgakov

Sadreev

2014

Opt. Lett.

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We present a two-dimensional photonic crystal design with a microcavity of four defect dielectric rods with eigenfrequencies residing in the propagating band of directional waveguide. In the linear case for tuning of material parameters of defect rods the nonrobust bound state in the continuum (BSC) might occur. The BSC is a result of full destructive interference of resonant monopole and quadrupole modes with the same parity. A robust BSC arises in a self-adaptive way without necessity to tune the parameters of the microcavity with the Kerr effect. Lack of the superposition principle in nonlinear systems gives rise to coupling of the BSC with injecting light. That forms a peculiar shape of isolated transmittance resonance around BSC frequency. We show if injecting light is switched off the BSC storages light that opens a way for light accumulation.

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Section: Nonlinear Casementioning

confidence: 99%

Section: With Normalization [35]mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Robust bound state in the continuum in a nonlinear microcavity embedded in a photonic crystal waveguide

Bulgakov

Sadreev

2014

Opt. Lett.

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“…38 for a photonic Fabry-Perot resonator coupled with two off-channel defects. We performed some numerical experiments with these simplified equations (in rescaled units in which a = 1 was set).The generic findings are:…”

Section: Small Delay Limitmentioning

confidence: 99%

Nonreciprocal wave scattering on nonlinear string-coupled oscillators

Lepri

Pikovsky

2014

Chaos: An Interdisciplinary Journal of Nonlinear Science

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We study scattering of a periodic wave in a string on two lumped oscillators attached to it. The equations can be represented as a driven (by the incident wave) dissipative (due to radiation losses) system of delay differential equations of neutral type. Nonlinearity of oscillators makes the scattering non-reciprocal: the same wave is transmitted differently in two directions. Periodic regimes of scattering are analyzed approximately, using amplitude equation approach. We show that this setup can act as a nonreciprocal modulator via Hopf bifurcations of the steady solutions. Numerical simulations of the full system reveal nontrivial regimes of quasiperiodic and chaotic scattering. Moreover, a regime of a "chaotic diode", where transmission is periodic in one direction and chaotic in the opposite one, is reported.PACS numbers: 05.60.-k 05.70.Ln 44.10.+iOne of the mostly general results of the linear wave theory is the reciprocity theorem, established in works of Rayleigh, Helmholtz and Lorentz. For the one-dimensional wave scattering it means the symmetry of the scattering matrix, so that transmission in both direction is the same. While in linear systems violations of reciprocity require violations of time-reversal symmetry, in nonlinear wave propagation reciprocity does not hold. In particular, scattering of linear waves on nonlinear objects may operate as a "wave diode", with different transmission properties in both directions. Here we consider a simple model of scattering of linear waves on two lumped nonlinear oscillators. If one neglects dispersion and dissipation in the medium and in the oscillators, the equations can be reduced to a system of delay-differential equations. We demonstrate in this paper different regimes of reciprocity violations. In the simplest case transmissions in both directions are different, while the waves remain periodic. We observe also more complex regimes, where reflected and transmitted waves are chaotic and different. Probably, mostly nontrivial regime reported is that of "chaotic diode": a periodic wave sent to the scatterer in one direction remains periodic, while when the same wave is sent in another direction, transmitted and reflected waves are chaotic.

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Exploring the Optical Bound State in the Continuum in a Dielectric Grating Coupled Plasmonic Hybrid System

Joseph

Sarkar

Khan

et al. 2021

Advanced Optical Materials

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the hybridized modes arising from the coupling of photonic and plasmonic resonances have been investigated widely. [7] The hybridized modes realized in diverse configurations using defect modes, [8] plasmonic nano-cavities, [9] Fabry-Perot metallic trench resonator, [10] etc., successfully demonstrate improved outcomes in terms of sensitivity, figure of merit, confinement, and lightmatter interaction. [11] Very recently, it has been noticed that the interaction of two different optical channels leads to the formation of a bound state in the continuum (BIC) and a resultant quasi-BIC hybrid mode. [12] The BIC is considered as a confined state in an open system with an infinite quality factor (Q-factor), which can extensively interact with the radiation channel. [13] Although the concept of BIC was proposed by von Neumann and Wigner in 1921, [14] the experimental observation of its existence is manifested only in the last decades. [15,16] Nevertheless, a true BIC is a mathematical perception that one can never achieve with either quantum or classical systems using physical parameters. [16] Fundamentally, the BICs can be of two kinds; the symmetry protected BIC (SP-BIC) [4,17,18] and the accidental BICs. [19] The SP-BICs are the inherent nature of a wave system; they are the discrete modes in the Brillouin zone near the gamma (Γ) point and are not allowed to interact with the free space radiation due to its symmetry incompatibilities. [17] Conversely, the accidental BICs are the consequence of the interference phenomena. For a system with two different resonance phenomena continuously changing with the parametric variation, at one particular set of parameters, there may occur an avoided crossing through which both the modes can interact and interfere destructively, resulting in the vanishing of one of the modes with an infinite quality factor. [19] Such an accidental vanishing of modes is explained by the Friedrich-Wintgen scenario. [20] The SP-BIC can be accessed by symmetry breaking structure [21] or by oblique illumination, resulting in the generation of resonant modes with a huge Q-factor called the quasi-BIC. [22] Although a true BIC mode is a dark mode with infinite lifetime and zero line width, in reality, the Q-factor of the BIC is finite because of restricted dimension, losses, and imperfection in the fabricated system. Thus, only the quasi-BICs with finite spectral width and Q-factor can be realized experimentally. The quasi-BIC has been explored for numerous applications including compact photonic chip for communication, [23] extreme narrowband transmission spectrum, [4] lasing, [24] The bound state in the continuum (BIC) explores the extraordinary optical properties of a system possessing wave characteristics that gained recent importance for practical applications, including lasing, sensing, optical tweezing, nonlinear interactions, and many more. Unlike a pure optical or plasmonic system, a hybrid architecture with coupled photonicplasmonic characteristics can offer the intermittent resonant modes for s...

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Bound states in photonic Fabry-Perot resonator with nonlinear off-channel defects

Cited by 48 publications

References 67 publications

Robust bound state in the continuum in a nonlinear microcavity embedded in a photonic crystal waveguide

Robust bound state in the continuum in a nonlinear microcavity embedded in a photonic crystal waveguide

Nonreciprocal wave scattering on nonlinear string-coupled oscillators

Exploring the Optical Bound State in the Continuum in a Dielectric Grating Coupled Plasmonic Hybrid System

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