Theory of cascaded quarter wave shifted distributed feedback resonators

Haus, H.A.; Lai, Ying-Xin

doi:10.1109/3.119515

Cited by 104 publications

(55 citation statements)

References 8 publications

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“…1, the modular optical nanocircuits experimentally demonstrated here may indeed pave the way towards the realization of a wide range of filter responses based on lumped optical nanocircuit elements. We should emphasize that the nanocircuit paradigm unveiled by our experiments is significantly more powerful than equivalent circuit models for photonic structures previously developed [23][24][25] . Rather than modelling a distributed photonic system with an equivalent circuit, our work shows that it is actually possible to synthesize a photonic circuit functionality by assembling modular lumped nanoelements, providing a one-to-one correspondence between the desired circuit response and the topological design.…”

Section: Resultsmentioning

confidence: 99%

Modular assembly of optical nanocircuits

et al. 2014

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A key element enabling the microelectronic technology advances of the past decades has been the conceptualization of complex circuits with versatile functionalities as being composed of the proper combination of basic 'lumped' circuit elements (for example, inductors and capacitors). In contrast, modern nanophotonic systems are still far from a similar level of sophistication, partially because of the lack of modularization of their response in terms of basic building blocks. Here we demonstrate the design, assembly and characterization of relatively complex photonic nanocircuits by accurately positioning a number of metallic and dielectric nanoparticles acting as modular lumped elements. The nanoparticle clusters produce the desired spectral response described by simple circuit rules and are shown to be dynamically reconfigurable by modifying the direction or polarization of impinging signals. Our work represents an important step towards extending the powerful modular design tools of electronic circuits into nanophotonic systems.

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Section: Resultsmentioning

confidence: 99%

Modular assembly of optical nanocircuits

et al. 2014

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“…A system consisting of a waveguide side-coupled to a cavity, which supports a resonant mode of frequency 0 ω , can be described analytically. Using coupled-mode theory [17], it can be shown that the transmission T and reflection R coefficients of the system are given by ( )…”

Section: Device Structure and Simulationmentioning

confidence: 99%

Gain-induced switching in metal-dielectric-metal plasmonic waveguides

Veronis

Fan

et al. 2008

Applied Physics Letters

158

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The authors show that the incorporation of gain media in only a selected device area can annul the effect of material loss, and enhance the performance of loss-limited plasmonic devices. In addition, they demonstrate that optical gain provides a mechanism for on/off switching in metal-dielectric-metal (MDM) plasmonic waveguides. The proposed gain-assisted plasmonic switch consists of a subwavelength MDM plasmonic waveguide side-coupled to a cavity filled with semiconductor material. In the absence of optical gain in the semiconductor material filling the cavity, an incident optical wave in the plasmonic waveguide remains essentially undisturbed by the presence of the cavity. Thus, there is almost complete transmission of the incident optical wave through the plasmonic waveguide. In contrast, in the presence of optical gain in the semiconductor material filling the cavity, the incident optical wave is completely reflected. They show that the principle of operation of such gain-assisted plasmonic devices can be explained using a temporal coupled-mode theory. They also show that the required gain coefficients are within the limits of currently available semiconductor-based optical gain media.

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“…As an illustration, we consider a two-dimensional model of a photonic crystal consisting of a square lattice (lattice spacing a) of infinitely long dielectric rods (see Refs. [15,17,18] and also references [7][8][9][10][11][12][13][14][15][16] in Ref. [25]).…”

Section: Discussionmentioning

confidence: 99%

“…Despite this, many researchers still believe that the basic properties of devices based on ridge waveguides or PhC waveguides are qualitatively identical, and that they can be correctly described by the coupled-mode theory for continuous systems (see Refs. [11][12][13][14][15][16][17][18][19][20][21] and the discussion in Sec. II).…”

Section: (C)mentioning

confidence: 99%

All-optical switching, bistability, and slow-light transmission in photonic crystal waveguide-resonator structures

et al. 2006

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We analyze the resonant linear and nonlinear transmission through a photonic crystal waveguide side-coupled to a Kerr-nonlinear photonic crystal resonator. Firstly, we extend the standard coupled-mode theory analysis to photonic crystal structures and obtain explicit analytical expressions for the bistability thresholds and transmission coefficients which provide the basis for a detailed understanding of the possibilities associated with these structures. Next, we discuss limitations of standard coupled-mode theory and present an alternative analytical approach based on the effective discrete equations derived using a Green's function method. We find that the discrete nature of the photonic crystal waveguides allows a novel, geometry-driven enhancement of nonlinear effects by shifting the resonator location relative to the waveguide, thus providing an additional control of resonant waveguide transmission and Fano resonances. We further demonstrate that this enhancement may result in the lowering of the bistability threshold and switching power of nonlinear devices by several orders of magnitude. Finally, we show that employing such enhancements is of paramount importance for the design of all-optical devices based on slow-light photonic crystal waveguides.

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Theory of cascaded quarter wave shifted distributed feedback resonators

Cited by 104 publications

References 8 publications

Modular assembly of optical nanocircuits

Modular assembly of optical nanocircuits

Gain-induced switching in metal-dielectric-metal plasmonic waveguides

All-optical switching, bistability, and slow-light transmission in photonic crystal waveguide-resonator structures

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