2016
DOI: 10.1109/jlt.2016.2594214
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Numerical Investigation of Vertical Cavity Lasers With High-Contrast Gratings Using the Fourier Modal Method

Abstract: Abstract-We show the strength of the Fourier modal method (FMM) for numerically investigating the optical properties of vertical cavities including subwavelength gratings. Three different techniques for determining the resonance frequency and Q-factor of a cavity mode are compared. Based on that, the Fabry-Perot approach has been chosen due to its numerical efficiency. The computational uncertainty in determining the resonance frequency and Q-factor is investigated, showing that the uncertainty in the Q-factor… Show more

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Cited by 11 publications
(5 citation statements)
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“…The FMM has been used widely for investigating gratings [23][24][25][26][27][28], since the Fourier basis is particularly suitable for periodic structures. Nonetheless, by introducing perfectly matched layers (PMLs) at the boundaries of simulation domains, the FMM has been successfully employed for studying various non-periodic structures such as dielectric waveguides [20,29,30], photonic crystals waveguides [31,32], finite gratings [33], microdisks [34,35], and vertical cavities [36,37]. For the waveguide problems, the PML is typically implemented as a nonlinear coordinate transformation [20], in which the infinite space x is mapped to a finite space x with a width of Λ, i.e.…”
Section: Numerical Solution: Fourier Modal Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…The FMM has been used widely for investigating gratings [23][24][25][26][27][28], since the Fourier basis is particularly suitable for periodic structures. Nonetheless, by introducing perfectly matched layers (PMLs) at the boundaries of simulation domains, the FMM has been successfully employed for studying various non-periodic structures such as dielectric waveguides [20,29,30], photonic crystals waveguides [31,32], finite gratings [33], microdisks [34,35], and vertical cavities [36,37]. For the waveguide problems, the PML is typically implemented as a nonlinear coordinate transformation [20], in which the infinite space x is mapped to a finite space x with a width of Λ, i.e.…”
Section: Numerical Solution: Fourier Modal Methodsmentioning
confidence: 99%
“…Using the Fourier expansions, Eq. ( 1) will be transformed to a matrix eigenvalue problem given by [36] A…”
Section: Numerical Solution: Fourier Modal Methodsmentioning
confidence: 99%
“…The mode dispersion and Q-factor calculations are performed using the approach explained in ref. 41. The mirrors m 2 and m 3 are implemented as 3.5-pair Si/SiO 2 DBRs, while m 1 is implemented as a HCG or HG.…”
Section: Methodsmentioning
confidence: 99%
“…In order to further analyze the device, we investigate the structure optical modes using the quasinormal mode (QNM) picture as explained in Ref. 34. In the QNM picture, the optical system is viewed as an open system with only outward emission.…”
Section: -5mentioning
confidence: 99%