Optimization of a two-dimensional photonic-crystal waveguide branch by simulated annealing and the finite-element method

Kim, Woo Jun; O’Brien, John D.

doi:10.1364/josab.21.000289

Cited by 54 publications

(32 citation statements)

References 27 publications

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“…Finally, the transmissivity and reflectivity sum up to exactly unity as required by total energy flux conservation in the entire range of the guided mode band. The overall variation profiles of the transmission and reflection spectra are in good accordance with other later simulations by means of theoretical approaches and models either in the time domain or in the frequency domain, [25][26][27][28][29][30][31][32][33] as one can find by comparing Figs. 4͑a͒ and 4͑b͒ in the current work with Fig.…”

Section: Sharp Waveguide Bends In Square Lattice Structuressupporting

confidence: 88%

“…9 by means of the FDTD technique and, later, by other frequency-domain methods. [25][26][27][28][29][30][31][32][33] We can now apply the PWTMM to solve the wave scattering problem of the sharp bend structures. Because semiinfinite PC waveguide array structures are considered, the intrinsic transmission and reflection coefficients of an input waveguide mode at the sharp bend can be calculated following the basic procedures that have been described in detail in Ref.…”

Section: Extension Of Plane-wave Transfer-matrix Methods To Photonmentioning

confidence: 99%

“…These include the eigenmode examination method, 27 the Wannierbasis field expansion method, 28,29 the multiple multipole method, 30,31 and the finite-element method. 32,33 These methods can overcome the numerical difficulties encountered in a usual FDTD simulation.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of photonic crystal waveguide bends by a plane-wave transfer-matrix method

Che

2008

Phys. Rev. B

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We have developed a plane-wave transfer-matrix method ͑PWTMM͒ to analyze light propagation through sharp photonic crystal bend structures. With the aid of the supercell technique, the original aperiodic waveguide bend can be modeled by a periodic scattering problem of two semi-infinite photonic crystal waveguide arrays face to face or two semi-infinite photonic crystal waveguide arrays separated by a sandwiched slab of bend region. The proposed approach has been applied to several sharp bend structures in two-dimensional photonic crystals. The calculated transmission and reflection spectra of the waveguide mode are in good agreement with existing results made by other numerical methods, even at the frequency close to the waveguide cutoff frequency. The developed PWTMM only needs to handle a single unit-cell layer domain and is therefore numerically friendly. The proposed approach can become an efficient and accurate numerical tool to understand and design high performance sharp waveguide bends in different two-dimensional and threedimensional photonic crystals with complex geometries.

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Section: Sharp Waveguide Bends In Square Lattice Structuressupporting

confidence: 88%

Section: Extension Of Plane-wave Transfer-matrix Methods To Photonmentioning

confidence: 99%

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Analysis of photonic crystal waveguide bends by a plane-wave transfer-matrix method

Che

2008

Phys. Rev. B

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“…Others have made use of semi-infinite models to study PC properties, but none of these specifically investigates the precise effect on the number of periods relative to reflection spectra. [41][42][43] This work introduces a useful model to calculate the reflectivity spectrum for a 2-D PC with a finite number of periods in one dimension and an infinite periodicity in the perpendicular direction. The effects of varying the situational parameters (polarization, material properties, number of periods, and so on) can be easily investigated, as demonstrated in this work.…”

Section: Introductionmentioning

confidence: 99%

Calculation of reflectivity spectra for semi-infinite two-dimensional photonic crystals

et al. 2016

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Abstract. This work involves the development of a finite-element method model to examine the optical properties of two-dimensional photonic crystals (PCs). The model is capable of studying the effect of a finite number of periods in a PC structure. The new design minimizes computational resources by modeling a PC with one infinite dimension with periodic boundary conditions while modeling the second with finite dimensions. This allows for calculation of transmission and reflection spectra across the PC structure. A finite difference frequency domain (FDFD) model has been created for calculation of the photonic band structure. This is compared with the reflection spectra obtained through the reflection model and is found to closely match. The reflection model capabilities are demonstrated by calculating the reflection spectrum for various parameters: period length, number of periods, incident light polarization, and material properties. Effects of varying these parameters are demonstrated. For example, the reflectivity of a GaAs/Air PC was found to reach greater than 95% when the PC has 10 periods; it exceeds 99% with 13 periods and reaches 99.9% at 15 periods.

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“…[28][29][30]. In our computational investigation, Maxwell's equations are solved in order to simulate wave propagation in a given waveguide design surrounded with non-reflecting boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Improved Bend Waveguide Design for Terahertz Transmission

Degirmenci

Surre

Philippe

et al. 2012

IEEE Trans. Terahertz Sci. Technol.

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Optimization of a two-dimensional photonic-crystal waveguide branch by simulated annealing and the finite-element method

Cited by 54 publications

References 27 publications

Analysis of photonic crystal waveguide bends by a plane-wave transfer-matrix method

Analysis of photonic crystal waveguide bends by a plane-wave transfer-matrix method

Calculation of reflectivity spectra for semi-infinite two-dimensional photonic crystals

Improved Bend Waveguide Design for Terahertz Transmission

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