Matrix analysis of 2-D microresonator lattice optical filters

Landobasa, Y.M.; Darmawan, S.; Chin, Mee-Koy

doi:10.1109/jqe.2005.857063

Cited by 59 publications

(39 citation statements)

References 17 publications

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“…Despite not being directly coupled to each others, (16) and (18) show a possible crosstalk between the outer waveguides through the intermediate Drop port (crossing of arrows through the Drop port shown in Figure 1). This can be quantified by using as initial condition, for example, A 2 = 0 which implies from (16)-(18)…”

Section: Cmt and Phase Switching For The Double-sided Symmetric Codirmentioning

confidence: 99%

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Light Combining for Interferometric Switching

Masi

Mancinelli

Bettotti

et al. 2012

International Journal of Optics

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Interferometric switching as a routing method in sequence of coupled optical microresonators is explored. Mach-Zhender interferometry is extended to systems of side-coupled integrated sequences of resonators (SCISSORs) and coupled resonators optical waveguides (CROWs). We generalized Coupled Mode Theory (CMT) to a system of three coupled waveguides. The two bus interferometric switching functions of SCISSOR and CROW resonant structures are investigated. A novel switching device based on three input phase modulation ports is presented. This device displays a wide range of switching behaviors which might lead to new interesting applications.

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Section: Cmt and Phase Switching For The Double-sided Symmetric Codirmentioning

confidence: 99%

“…For simplicity, the bus-waveguide gaps and the coupling section lengths are the same everywhere. To apply the transfer matrix approach [16][17][18][19][20][21], a first step is to relate the amplitudes (A 2 ) (see Figure 6 for the definitions). From (3), we have:…”

Section: Dual Bus Resonator Interferometric Switchmentioning

confidence: 99%

Light Combining for Interferometric Switching

Masi

Mancinelli

Bettotti

et al. 2012

International Journal of Optics

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“…Their compact sizes and flexibility in design and function have led to active research in different configurations including multiple rings, cascaded in series [1] and parallel [2], 2D arrayed [3], embedded [4], and spiral shape geometry [5]. In this paper, we focus on MRRs containing DBR gratings for the application of compact reflectors for tunable laser cavities [6].…”

Section: Introductionmentioning

confidence: 99%

Semi-analytical modeling of microring resonators with distributed Bragg reflectors

Kang

Goddard

2009

2009 9th International Conference on Numerical Simulation of Optoelectronic Devices

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A semi-analytical method for fast simulation of microring resonators with distributed Bragg reflectors (DBR-MRR) is presented. Under the low loss condition, the structure exhibits a spectral response similar to that of a sampled-grating distributed Bragg reflector (SGDBR). However, the DBR-MRR can achieve higher reflectivity with significantly fewer gratings due to multiple reflection encounters with the same DBR gratings.

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“…The term ϕ 0 has been obtained by averaging several measures done on test straight waveguides employing the same setup. Figure 4 shows the measured amplitude and group delay (gray/red curves) of the devices compared with the theoretical responses (black curves) calculated with the transfer matrix method described elsewhere [12][13][14], where losses and the coupler length were taken into account. In the case of the uniform CROW [ Fig.…”

mentioning

confidence: 99%

Transmission and group-delay characterization of coupled resonator optical waveguides apodized through the longitudinal offset technique

2011

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In this Letter, the amplitude and group delay characteristics of coupled resonator optical waveguides apodized through the longitudinal offset technique are presented. The devices have been fabricated in silicon-on-insulator technology employing deep ultraviolet lithography. The structures analyzed consisted of three racetracks resonators uniform (nonapodized) and apodized with the aforementioned technique, showing a delay of 5 AE 3 ps and 4 AE 0:5 ps over 1.6 and 1:4 nm bandwidths, respectively. © 2011 Optical Society of America OCIS codes: 130.3120, 230.5750.Coupled resonator optical waveguides (CROWs) [1] have been extensively studied in the past [2,3]. It is well known that the CROW response presents ripples when the devices are designed for all the couplers to have the same coupling constant. The method to overcome ripples and produce boxlike filtering responses is to set different coupling constants for the couplers, following wellknown windowing techniques used in digital filter design [4]; however, this is the most complicated part from a fabrication perspective. The control over the coupling constants of CROW devices has been done typically by changing the lateral distance between consecutive resonators at a scale of tens of nanometers [5]. To achieve high precision, fabrication techniques as electron-beam patterning are required, at the cost of less device yield per time compared to other techniques, such as photolithography, which in turn have worse resolution (hundreds of nanometers).In our previous work, we have presented the apodization of CROWs through a novel technique, the longitudinal offset technique [6], where the change in the coupling constants for each cavity in the CROW structure is accomplished by applying a longitudinal offset between the resonators, instead of the conventional transversal offset. This technique alleviates the fabrication requirements, as the change in each stage of the CROW can be 2 orders of magnitude higher than with the conventional techniques. Therefore, it is suitable for mass production fabrication procedures, such as photolitographic systems [7]. In this Letter, we present, to the best of our knowledge, the first practical demonstration of the aforementioned longitudinal offset technique. Figure 1 shows scanning electron microscope (SEM) images of the uniform and apodized CROW devices, respectively, fabricated in silicon-on-insulator technology using deep ultraviolet (DUV) lithography [8]. The silicon photonic wire waveguide, on top of a 2-μm-thick BOX layer, is 530 nm wide by 220 nm thick in order to ensure TE monomode propagation. The racetracks have a bend radius R ¼ 5 μm and a straight section L s ¼ 53:3 μm in both devices. The measured linear propagation loss in such photonic wires is 6 AE 1 dB=cm, and the group index around the 1:55 μm wavelength is n g ≃ 4:25 and has been derived from the free spectral range (FSR) of the CROW devices. The measured FSR near the 1:55 μm wavelength was 4:09 nm. The gaps between cavities in the uniform and apodized CROWs have...

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Matrix analysis of 2-D microresonator lattice optical filters

Cited by 59 publications

References 17 publications

Light Combining for Interferometric Switching

Light Combining for Interferometric Switching

Semi-analytical modeling of microring resonators with distributed Bragg reflectors

Transmission and group-delay characterization of coupled resonator optical waveguides apodized through the longitudinal offset technique

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