Gap-soliton switching in short microresonator structures

Pereira, Suresh; Chak, Philip; Sipe, J. E.

doi:10.1364/josab.19.002191

Cited by 43 publications

(34 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Chen and Mills 12 were the first to theoretically report gap solitons in finite distributed Bragg reflectors, but these solitons appear in numerous other systems. [13][14][15][16] Here, we find the same type of fundamental gap solitons in both geometries.…”

Section: Gap Solitons and Nonlinear Resonancessupporting

confidence: 68%

See 1 more Smart Citation

Switching in coupled nonlinear photonic-crystal resonators

2005

View full text Add to dashboard Cite

Using coupled-mode theory we examine the linear and Kerr nonlinear behavior of multiple consecutive photonic-crystal switches. Two types of resonators are considered, those with the cavity inside and those adjacent to the waveguide. We observe gap solitons in both structures and examine a nonlinear mode with energy localized near the boundaries of the finite system. Finally, we propose a device with two side-coupled resonators and a judiciously chosen intercavity distance that demonstrates switching at low powers. In addition to coupled-mode theory, rigorous simulations are performed for this structure.

show abstract

Section: Gap Solitons and Nonlinear Resonancessupporting

confidence: 68%

“…This state is called the gap soliton. [12][13][14][15][16] These nonlinear states, also considered as intrinsic localized modes, have consequences for energy localization and appear in different physical settings. 17 We demonstrate gap solitons in both the resonant-coupled and sidecoupled geometry.…”

Section: Introductionmentioning

confidence: 99%

Switching in coupled nonlinear photonic-crystal resonators

2005

View full text Add to dashboard Cite

show abstract

“…3(a) is qualitatively similar to that of a two-channel microring SCISSOR structure studied in [6], and the physical interpretation of the origins of the bandgaps are the same. One bandgap for the bright mode is centered at the cavity resonance frequency, since resonant wavelengths are reflected by the resonators.…”

Section: ͑2͒supporting

confidence: 64%

Optical bright and dark states in side-coupled resonator structures

2007

Self Cite

View full text Add to dashboard Cite

We analyze side-coupled standing-wave cavity structures consisting of Fabry-Perot and photonic crystal resonators coupled to two waveguides. We show that optical bright and dark states, analogous to those observed in coherent light-matter interactions, can exist in these systems. These structures may be useful for variable, switchable delay lines. © 2007 Optical Society of America OCIS codes: 230.5750, 230.7370. In this Letter, we show the unique dispersion properties of single-mode, side-coupled (SC) cavity structures can be used to generate large variable, switchable delays. Using a transfer-matrix method, we first calculate the dispersion and transmission properties of SC structures based on coupled Fabry-Perot (FP) resonators. We show these structures support "bright" and "dark" states, accessible by tuning the relative phase of the input fields. In analogy with electromagnetically induced transparency (EIT) [1], here a dark state is one in which the resonators are not excited by the optical signal even on resonance. We then show that these bright and dark states also exist in photonic crystal waveguide-cavity structures. Finally, we illustrate how these dark and bright states can be used to construct variable, switchable delay lines. We first consider structures consisting of two waveguides side coupled to a periodic chain of FP resonators. They can take the form of either (i) a FP coupled-resonator optical waveguide (CROW) side coupled to two waveguides (FP-SC-CROW) as in Fig. 1(a) or (ii) a SC integrated spaced sequence of resonators (SCISSOR) with FP cavities (FP-SCISSOR) as shown in Fig. 1(b) [2,3]. The primary difference between the devices in Figs. 1(a) and 1(b) is the degree of coupling between adjacent cavities: the FP-SC-CROW reduces to the FP-SCISSOR in the limit of zero interresonator coupling. In general, the FP resonators in the middle waveguide can be replaced with other single-mode cavities, as long as the resonators support only one mode on resonance. In contrast, microrings, for example, support two degenerate modes on resonance.To analyze the coupled waveguide structures in Fig. 1, we employ a transfer-matrix method in which we propagate the incoming and outgoing fields along z. In general, the transmission properties of each unit cell in Fig. 1 can be described by a 6 ϫ 6 matrix; the field at a particular point in z can be described by ͓e 1 e 2¯e6 ͔ T . The vector includes both the forward-and backward-propagating fields in the resonator and the two waveguides [4]. To relate the fields at z = 0 and z = ⌳ for a structure that has inversion symmetry with respect to the center of the unit cell, we use the scattering matrix ͑1͒where e + = ͓e 1 e 3 e 5 ͔ T and e − = ͓e 2 e 4 e 6 ͔ T . T and R are 3 ϫ 3 matrices describing the transmission and reflection properties of the unit cell, and their explicit forms are presented in [4]. The scattering matrices can be made more tractable by accounting for nearest waveguide coupling only and neglecting the coupling between the outer waveguides and t...

show abstract

“…It has recently been shown that nonlinear pulse dynamics in an infinite two channel SCISSOR Optics Communications 213 (2002) [163][164][165][166][167][168][169][170][171] www.elsevier.com/locate/optcom structure is well described by a nonlinear Schr€ o odinger equation (NLSE) if the pulse frequency is not ''too deep'' within a stop gap [2,5]. However, it has been numerically predicted that interesting nonlinear dynamics, such as optical switching, can occur in a two channel SCISSOR structures with a very small number of cells [5], where the validity of the NLSE would be called into question.…”

Section: Introductionmentioning

confidence: 99%

“…However, it has been numerically predicted that interesting nonlinear dynamics, such as optical switching, can occur in a two channel SCISSOR structures with a very small number of cells [5], where the validity of the NLSE would be called into question. Furthermore, when the pulse frequency is deep within the gap, the best description of pulse dynamics is as yet unclear.…”

Section: Introductionmentioning

confidence: 99%