Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2007-06-04
Phys. Rev. B vol. 73 p. 235114 (2006)
Physics
Condensed Matter
Soft Condensed Matter
16 pages, 11 figures
Scientific paper
10.1103/PhysRevB.73.235114
According to a recent proposal [S. Takayama et al., Appl. Phys. Lett. 87, 061107 (2005)], the triangular lattice of triangular air holes may allow to achieve a complete photonic band gap in two-dimensional photonic crystal slabs. In this work we present a systematic theoretical study of this photonic lattice in a high-index membrane, and a comparison with the conventional triangular lattice of circular holes, by means of the guided-mode expansion method whose detailed formulation is described here. Photonic mode dispersion below and above the light line, gap maps, and intrinsic diffraction losses of quasi-guided modes are calculated for the periodic lattice as well as for line- and point-defects defined therein. The main results are summarized as follows: (i) the triangular lattice of triangular holes does indeed have a complete photonic band gap for the fundamental guided mode, but the useful region is generally limited by the presence of second-order waveguide modes; (ii) the lattice may support the usual photonic band gap for even modes (quasi-TE polarization) and several band gaps for odd modes (quasi-TM polarization), which could be tuned in order to achieve doubly-resonant frequency conversion between an even mode at the fundamental frequency and an odd mode at the second-harmonic frequency; (iii) diffraction losses of quasi-guided modes in the triangular lattices with circular and triangular holes, and in line-defect waveguides or point-defect cavities based on these geometries, are comparable. The results point to the interest of the triangular lattice of triangular holes for nonlinear optics, and show the usefulness of the guided-mode expansion method for calculating photonic band dispersion and diffraction losses, especially for higher-lying photonic modes.
Andreani Lucio Claudio
Gerace Dario
No associations
LandOfFree
Photonic-crystal slabs with a triangular lattice of triangular holes investigated using a guided-mode expansion method does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Photonic-crystal slabs with a triangular lattice of triangular holes investigated using a guided-mode expansion method, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Photonic-crystal slabs with a triangular lattice of triangular holes investigated using a guided-mode expansion method will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-726669