<i>Field Theory of Guided Waves</i>

Collin, Robert; Chang, Howard Y.

doi:10.1063/1.3057738

Cited by 858 publications

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“…Therefore, periodic resonant waveguiding structures intrinsically have a higher impedance with respect to nonperiodic waveguides [137,138] and if a chain of resonators is directly coupled to a "fast" nonresonant waveguide acting as a bus line, an impedance mismatch arises between the two, causing reflections at the coupling interfaces and hindering the light transfer efficiency. The mismatch appears as in-band intensity ripples in the spectral response of the devices and becomes more pronounced for higher slowdown factors of the CROW.…”

Section: Impedance Matching Of Crowsmentioning

confidence: 99%

The first decade of coupled resonator optical waveguides: bringing slow light to applications

Morichetti

Ferrari

Canciamilla

et al. 2011

Laser & Photonics Reviews

157

125

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A century after the first optical cavity, coupled resonator optical waveguides (CROWs) were conceived as a new way to guide light on a photonic chip. Controlling chains of coupled resonators to let light propagate through, with a reduced speed and enhanced intensity, boosting light-matter interaction while keeping information undistorted: this was the fascinating promise of CROWs, but also one of the most ambitious challenges ever set for integrated optics. The first decade of the history of CROWs is discussed in this review, from the original idea to recent applications, panning through the technological platforms that have been employed to realize these structures. Design criteria and management issues, fundamental limits, and sensitivity to fabrication tolerances are discussed to make the reader aware of the performance of state-of-the-art CROWs and to provide a realistic perspective of future applicative horizons.

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Section: Impedance Matching Of Crowsmentioning

confidence: 99%

The first decade of coupled resonator optical waveguides: bringing slow light to applications

Morichetti

Ferrari

Canciamilla

et al. 2011

Laser & Photonics Reviews

157

125

View full text Add to dashboard Cite

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“…For arbitrary large value of the frequency parameter χ there is a finite number of real zeros and poles. When a pole approaches the origin with the frequency change, then one encounters a resonance (see [1][2][3][4]). If a small attenuation is added to the medium, then the positive poles move upwards, and the negative ones -downwards.…”

Section: High-frequency Asymptotic Analysis Of the Main Integral Equamentioning

confidence: 99%

“…Wave propagation in waveguides is a very important problem in seismics, antennas design, acoustics, ultrasonic testing of materials, and has been the subject of many investigations [1][2][3][4]. Some interesting analytical results were obtained with the help of Fourier transform and the Wiener-Hopf method -for homogeneous waveguides of a constant thickness with infinite and semi-infinite discontinuities.…”

Section: Introductionmentioning

confidence: 99%

Explicit short-wave asymptotics for diffraction by finite-length discontinuities in waveguides: Closed structures

Scalia

Sumbatyan²

2001

Z. angew. Math. Phys.

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The paper is concerned with a high-frequency diffraction by finite-length plane discontinuities located in infinite waveguides. The problem is reduced to a convolution integral equation of the first kind holding over a finite interval. It is shown that the specific physical nature of the wave process in the closed structures complicates considerably the high-frequency analysis, due to a high density of the resonance frequencies. A self-consistent asymptotic method is developed that permits explicit analytical representation for the solution. The method is tested in comparison with a direct numerical solution constructed by using a co-location technique.Mathematics Subject Classification (2000). 74G; 45E; 78B.

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“…The jump conditions across Sb associated with equations (4) and (5) then result from (9), (10) and the identity (8).…”

Section: The Regular Field £Sc(x Y Z) Is Quasi-periodic In the X-vamentioning

confidence: 99%

“…We first examine the behaviour of a real characteristic value of * K1(c), as b goes to zero. For the sake of clarity, we explicitly enhance the dependency of * on 8 …”

Section: Localization Of the Resonant Frequenciesmentioning

confidence: 99%

Resonances for Maxwell’s equations in a periodic structure

Ammari

Béreux

Nédélec

2000

Japan J. Indust. Appl. Math.

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This paper deals with the existence and the distribution of the resonances associated to the Maxwell system in a periodic infinite structure. By boundary integral operators method, we reduce our problem to the existence and distribution of the characteristic values of a family of periodic non-self adjoint integral operators. The distribution of resonances is completely shown and an algorithm to compute them is proposed.

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Field Theory of Guided Waves

Cited by 858 publications

References 0 publications

The first decade of coupled resonator optical waveguides: bringing slow light to applications

The first decade of coupled resonator optical waveguides: bringing slow light to applications

Explicit short-wave asymptotics for diffraction by finite-length discontinuities in waveguides: Closed structures

Resonances for Maxwell’s equations in a periodic structure

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