2008
DOI: 10.1103/physrevb.78.075105
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Bound states in the continuum in photonic waveguides inspired by defects

Abstract: Photonic crystal with defect layer forms directed continuum for electromagnetic waves. Defect rods in the vicinity of the defect layer interact with the continuum and give rise to scattering of ingoing waves. We derive quantum-mechanical analog of the non-Hermitian Hamiltonian of the open system with complex eigenvalues, which describes a scattering of electromagnetic waves by the defect rods. In this formalism a bound state in the continuum ͑BIC͒ can be easily found by the condition that one of the complex ei… Show more

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Cited by 317 publications
(218 citation statements)
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“…In quantum mechanics, they are found in impurity pairs in a waveguide 20,87 , time-dependent double-barrier structures 88 , quantum dot pairs connected to a wire [89][90][91][92][93] , double metal chains on a metal substrate 94 , or double waveguide bends 95 . In photonics, they exist in structures ranging from stacked PhC slabs [96][97][98] and double gratings 99,100 , to off-channel resonant defects connected to a waveguide or waveguide array 25,27,45,77,101,102 . In ref.…”
Section: Fabry-pérot Bic (Through Coupled Resonances)mentioning
confidence: 99%
“…In quantum mechanics, they are found in impurity pairs in a waveguide 20,87 , time-dependent double-barrier structures 88 , quantum dot pairs connected to a wire [89][90][91][92][93] , double metal chains on a metal substrate 94 , or double waveguide bends 95 . In photonics, they exist in structures ranging from stacked PhC slabs [96][97][98] and double gratings 99,100 , to off-channel resonant defects connected to a waveguide or waveguide array 25,27,45,77,101,102 . In ref.…”
Section: Fabry-pérot Bic (Through Coupled Resonances)mentioning
confidence: 99%
“…Recently, it was understood that BICs are intrinsically a wave phenomenon and are not restricted to the realm of quantum mechanics. They have since been shown to occur in many different fields of wave physics including acoustics, microwaves, and nanophotonics [6][7][8][9][10][11][12][13][14]. However, experimental observations of bound states in the continuum have been limited to passive systems.…”
mentioning
confidence: 99%
“…More recently, another examples of electronic BICs have been predicted theoretically in atomic and molecular systems [5] and in artificial systems [6]. In optics, the term bound state in the continuum first appeared around 2008 [7,8]. Experimental observation of optical BIC followed only in 2011 [9].…”
Section: Introductionmentioning
confidence: 99%