Localized photonic band edge modes and orbital angular momenta of light in a golden-angle spiral

Optics Express

Volumn 19, Issue 24, 2011, Pages 23631-23642

  Liew, Seng Fatt ^a   Noh, Heeso ^a   Trevino, Jacob ^b   Negro, Luca Dal ^b   Cao, Hui ^a  

^a Yale University   (United States)

^b Boston University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANGULAR MOMENTUM; NUMBER THEORY;

AIR CYLINDER; AIR HOLES; BAND EDGE; BRAGG SCATTERING; DIELECTRIC MEDIA; DISTINCTIVE FEATURES; FIBONACCI NUMBERS; NUMERICAL STUDIES; ORBITAL ANGULAR MOMENTUM; PHOTONIC BAND EDGE; SPATIAL IN-HOMOGENEITY; SPIRAL STRUCTURES; STRUCTURAL CHARACTERISTICS; TE-POLARIZED LIGHT;

PHOTONIC CRYSTALS;

ARTICLE; COMPUTER AIDED DESIGN; COMPUTER SIMULATION; EQUIPMENT; EQUIPMENT DESIGN; LIGHT; MATERIALS; METHODOLOGY; PHOTON; RADIATION SCATTERING; REFRACTOMETRY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; THEORETICAL MODEL;

COMPUTER SIMULATION; COMPUTER-AIDED DESIGN; EQUIPMENT DESIGN; EQUIPMENT FAILURE ANALYSIS; LIGHT; MANUFACTURED MATERIALS; MODELS, THEORETICAL; PHOTONS; REFRACTOMETRY; REPRODUCIBILITY OF RESULTS; SCATTERING, RADIATION; SENSITIVITY AND SPECIFICITY;

EID: 82055192024     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.19.023631     Document Type: Article

References (13)

1. P. Stevens, Patterns in Nature (Little, Brown and Co., New York, 1974).
2. M. Naylor "Golden, √ 2, and π Flowers: A Spiral Story", Math. Mag. 75, 163 (2002).
3. A. Agrawal, N. Kejalakshmy, J. Chen, B. M. A. Rahman, and K. T. V. Grattan, "Golden-angle spiral photonic crystal fiber: polarization and dispersion properties", Opt. Lett. 22, 2716-2718 (2008).
4. J. Trevino, H. Cao, and L. D. Negro, "Circularly Symmetric Light Scattering from Nanoplasmonic Spirals", Nano Lett. 11, 2008-2016 (2010).
5. M. E. Pollard and G. J. Parker, "Low-contrast bandgaps of a planar parabolic spiral lattice", Opt. Lett. 34, 2805-2807 (2009).
6. J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light, 2nd ed. (Princeton U. Press, Princeton, 2008).
7. Y. S. Chan, C. T. Chan, and Z. Y. Liu, "Photonic Band Gaps in Two Dimensional Photonic Quasicrystals", Phys. Rev. Lett. 80, 956 (1998).
8. M. Florescu, S. Torquato, and P. J. Steinhardt, "Complete band gaps in two-dimensional photonic quasicrystals", Phys. Rev. B 80, 155112 (2009).
9. D. Lusk, I. Abdulhalim, F. Placido, "Omnidirectional reflection from Fibonacci quasi-periodic one-dimensional photonic crystal", Opt. Commun. 198, 273 (2001).
10. W. Steurer and D. Sutter-Widmer, "Photonic and phononic quasicrystals", J. Phys. D: Appl. Phys. 40, R229 (2007).
11. L. Dal Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, "Light transport through the band-edge states of Fibonacci quasicrystals", Phys. Rev. Lett. 90, 055501 (2003).
12. H. Vogel, "A better way to construct the sunflower head", Math. Biosci. 44, 179 (1979).
13. http://www.comsol.com