Classification of modes in suspended-membrane, 19-missing-hole photonic-crystal microcavities

Wan Kuang; Jiang R. Cao; Tian Yang; Sang Jun Choi; Po-Tsung Lee; John D. O'Brien; P. Daniel Dapkus

doi:10.1364/JOSAB.22.001092

Classification of modes in suspended-membrane, 19-missing-hole photonic-crystal microcavities

Wan Kuang^*, Jiang R. Cao, Tian Yang, Sang Jun Choi, Po-Tsung Lee, John D. O'Brien, P. Daniel Dapkus

^*Corresponding author for this work

Department of Photonics

Research output: Contribution to journal › Article

13 Scopus citations

Abstract

Suspended-membrane 19-missing-hole microcavities in triangular lattice photonic crystals are numerically modeled by a three-dimensional finite-difference time-domain method. The resonance frequencies and the quality factors are calculated by interpolation of the discrete Fourier transformation series of the field with a Padé polynomial. The numerical results are compared with the photoluminescent spectra measured on the cavity of a nearly identical dimension. The symmetry properties of the defect modes are analyzed with the group theory, and resonance modes in the photonic-crystal cavities are identified as irreducible representations of the C _6v point group. The far-field radiations of the identified modes in the free space are also calculated by use of a vector Green's function. It is found that the numerical results agree very well with the experimental measurement in various aspects.

Original language	English
Pages (from-to)	1092-1099
Number of pages	8
Journal	Journal of the Optical Society of America B: Optical Physics
Volume	22
Issue number	5
DOIs	https://doi.org/10.1364/JOSAB.22.001092
State	Published - 1 Jan 2005

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Kuang, W., Cao, J. R., Yang, T., Choi, S. J., Lee, P-T., O'Brien, J. D., & Dapkus, P. D. (2005). Classification of modes in suspended-membrane, 19-missing-hole photonic-crystal microcavities. Journal of the Optical Society of America B: Optical Physics, 22(5), 1092-1099. https://doi.org/10.1364/JOSAB.22.001092

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abstract = " Suspended-membrane 19-missing-hole microcavities in triangular lattice photonic crystals are numerically modeled by a three-dimensional finite-difference time-domain method. The resonance frequencies and the quality factors are calculated by interpolation of the discrete Fourier transformation series of the field with a Pad{\'e} polynomial. The numerical results are compared with the photoluminescent spectra measured on the cavity of a nearly identical dimension. The symmetry properties of the defect modes are analyzed with the group theory, and resonance modes in the photonic-crystal cavities are identified as irreducible representations of the C 6v point group. The far-field radiations of the identified modes in the free space are also calculated by use of a vector Green's function. It is found that the numerical results agree very well with the experimental measurement in various aspects.",

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AU - Kuang, Wan

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AU - Yang, Tian

AU - Choi, Sang Jun

AU - Lee, Po-Tsung

AU - O'Brien, John D.

AU - Dapkus, P. Daniel

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AB - Suspended-membrane 19-missing-hole microcavities in triangular lattice photonic crystals are numerically modeled by a three-dimensional finite-difference time-domain method. The resonance frequencies and the quality factors are calculated by interpolation of the discrete Fourier transformation series of the field with a Padé polynomial. The numerical results are compared with the photoluminescent spectra measured on the cavity of a nearly identical dimension. The symmetry properties of the defect modes are analyzed with the group theory, and resonance modes in the photonic-crystal cavities are identified as irreducible representations of the C 6v point group. The far-field radiations of the identified modes in the free space are also calculated by use of a vector Green's function. It is found that the numerical results agree very well with the experimental measurement in various aspects.

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