Analysis of optical waveguides with multilayer dielectric coatings using plane wave expansion

Nguyen, Thach G.; Mitchell, Arnan

doi:10.1109/jlt.2005.860158

Cited by 8 publications

(6 citation statements)

References 29 publications

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“…Namely, the optimal coating layer thickness is expected to be close to 0.8185/4 = 0.205 µm. Figure 3 reveals a minimum reflectivity at u = 0.206 µm which agrees with λ g / 4 and with previously published results [23,24]. Appl.…”

Section: Dielectric Waveguide Facetsupporting

confidence: 90%

“…The core refractive index n co = 3.6, the cladding refractive index n cl = 3.24, and the high and low reflection coating material refractive indices are 3.5 and 1.7 respectively. Figure 4 exhibits a fair agreement with FDTD method and to a less degree with the Transfer Matrix Method (TMM) which fails to predict correctly the high reflectivity coating [24,25]. Yamautchi et al [25] pointed out that the reflectivity calculated by the FDTD method deteriorates at long wavelengths (beyond 1 µm) due to the propagated field along the coating layers.…”

Section: Butt-coupling Between Plasmonic and Dielectric Waveguidementioning

confidence: 96%

“…In fact, the waveguides terminated by air were studied using a variety of techniques [19][20][21][22][23][24][25] in TE and TM polarization modes. Figure 1 depicts the geometry of the problem under consideration (akin to waveguide Laser facet), where a three-layer dielectric slab waveguide occupying the half-space z < 0 is abruptly terminated by air at z = 0.…”

Section: Dielectric Waveguide Facetmentioning

confidence: 99%

“…Using the reflection operator formalism of the previous section, we calculated the reflected field at z = 0, and hence the transmitted field is readily evaluated via Equation (17). The power reflectivity is simply calculated as follows [24]: Figure 2 compares the results of our method with those obtained by the accurate method of Vassallo [22] and the plane wave expansion (PWE) [25] [24] at different values of δ = 3% and 10%, for both polarization TE (a) and TM (b). The curves of Figure 2 reveal a general good agreement.…”

Section: Dielectric Waveguide Facetmentioning

confidence: 99%

“…The power reflectivity curve comparison between our proposed method and Vassallo[15], and plane wave expansion (PWE) techniques[24] at (a) transverse electric (TE) polarization case, (b) transverse magnetic (TM) polarization case.…”

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confidence: 99%

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Extension of an FFT-Based Beam Propagation Method to Plasmonic and Dielectric Waveguide Discontinuities and Junctions

Shaaban

Gomaa

2019

Applied Sciences

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We adapted a fast Fourier transform-based Beam Propagation Method (FFT-BPM) to investigate waveguide discontinuities in plasmonic waveguides. The adaptation of the FFT-BPM to treat transverse magnetic (TM) fields requires the circumvention of two major difficulties: the mixed derivatives of the magnetic field and waveguide refractive index profile in the TM wave equation and the step-like index change at the transverse metal-dielectric boundary of the plasmonic guide and the transverse boundaries of the dielectric waveguide as well. An equivalent-index method is adopted to transform TM fields to transverse electric (TE) ones, thus enabling the benefit of the full power and simplicity of the FFT-BPM. Moreover, an appropriate smoothing function is used to approximate the step-like refractive index profile in the transverse direction. At the junction plane, we used an accurate combined spatial-spectral reflection operator to calculate the reflected field. To validate our proposed scheme, we investigated the modal propagation in a silicon waveguide terminated by air (like a laser facet in two cases: with and without a coating layer). Then we considered a subwavelength plasmonic waveguide (metal-insulator-metal MIM) butt-coupled with a dielectric waveguide, where the power transmission efficiency has been calculated and compared with other numerical methods. The comparison reveals good agreement.Waals materials layers (like graphene) or through multilayered heterostructures. This leads to strong nonlinearities, large photonic forces, and enhanced emission and absorption probabilities. A practical approach toward nanoscale light trapping and manipulation is offered by interfaces separating media with permittivities of opposite signs [5]. Graphene plasmons are very promising to be the best alternative to noble-metal plasmons as they exhibit much tighter confinement and relatively long propagation distances, with the advantage of being highly tunable via electrostatic gating [6].The integration of plasmonic-based devices and photonic devices will eventually lead to an interfacing between plasmomic and photonic guides. Especially, butt-coupling plasmonic and dielectric guides is one of the most efficient ways for light transmission between highly confined modes and low-loss guided wave structures [7]. It is worthy to note that subwavelength optical confinement modes, allows the efficient and beneficial use of compact photonic devices like nanoscale photodetectors; thus, improving noise immunity, response speed and power dissipation in optical communication devices [8,9].The versatility of the FFT-BPM in the simulation of wide range of photonic devices is well understood [10][11][12][13][14]. In this paper, for the sake of simplicity, we shall consider two-dimensional structures invariant in the y-direction. The main essence of the BPM is simple: propagation in a reference homogenous medium over a small distance ∆z followed by phase correction that takes into account the spatial dependence of the refractive index of the me...

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Section: Dielectric Waveguide Facetsupporting

confidence: 90%

Section: Butt-coupling Between Plasmonic and Dielectric Waveguidementioning

confidence: 96%

Section: Dielectric Waveguide Facetmentioning

confidence: 99%

Section: Dielectric Waveguide Facetmentioning

confidence: 99%

mentioning

confidence: 99%

See 3 more Smart Citations

Extension of an FFT-Based Beam Propagation Method to Plasmonic and Dielectric Waveguide Discontinuities and Junctions

Shaaban

Gomaa

2019

Applied Sciences

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Theory of Optical Waveguides

Hunsperger

2009

Integrated Optics

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Design Plasmonic Optical 4 × 2 Encoder Based on 2D Photonic Crystal Ring Resonator

2021

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Digital encoders are one of the key devices required in optical communication and digital signal processing systems. In this paper, a new photonic crystal structure is used to design all optical 4x2 encoder constructed from GaAs rods with square lattice in the pentane bachground based on plasmonic effect. Gold rods have also been used at the interface of dielectric rods and lines defect, which create plasmonic properties into the photonic crystal structure. The designed optical device is composed of four input waveguides and two output waveguides with two ring resonators at the resonant wavelength of 1.4mm with TM polarization. The presented encoder platform has the small size of 19 mm ×33 mm, that makes it to integration into all optical communication systems. The encoder operation is simulated and analyzed with numerical Finite Difference Time Domain (FDTD) method hand Plane Wave Expansion (PWE) method. In the proposed structure, we have shown that by selecting the appropriate radius size for the resonant cavities, the desirable wavelength can be obtained. The maximum values of transmission e ciency for the rst and second outputs are 82% and 96%, respectively. Resonant cavities are also located in the crystal lattice in such a way that by activating third input, 50% and 48% of the input signal will be obtained in each output ports indicating (1,1) logic state. So the new plasmonic photonic crystal encoder could be future applicable in the eld of optical computing.

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Analysis of optical waveguides with multilayer dielectric coatings using plane wave expansion

Cited by 8 publications

References 29 publications

Extension of an FFT-Based Beam Propagation Method to Plasmonic and Dielectric Waveguide Discontinuities and Junctions

Extension of an FFT-Based Beam Propagation Method to Plasmonic and Dielectric Waveguide Discontinuities and Junctions

Theory of Optical Waveguides

Design Plasmonic Optical 4 × 2 Encoder Based on 2D Photonic Crystal Ring Resonator

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