[1] Zin Lin, Xiangdong Liang, Marko Lončar, Steven G. Johnson, and Alejandro W. Rodriguez. Cavity-enhanced second-harmonic generation via nonlinear-overlap optimization. Optica, 3(3):233+, March 2016. [ bib | DOI | http ]
Keywords: cavity, me
[2] Xiangdong Liang and Steven G. Johnson. Formulation for scalable optimization of microcavities via the frequency-averaged local density of states. Optics Express, 21(25):30812+, December 2013. [ bib | DOI | http ]
Keywords: cavity, me
[3] Joshua J. Kaufman, Richard Ottman, Guangming Tao, Soroush Shabahang, Esmaeil-Hooman Banaei, Xiangdong Liang, Steven G. Johnson, Yoel Fink, Ratna Chakrabarti, and Ayman F. Abouraddy. In-fiber production of polymeric particles for biosensing and encapsulation. Proceedings of the National Academy of Sciences, 110(39):15549–15554, September 2013. [ bib | DOI | http ]
Keywords: me
[4] Bo Zhen, Song-Liang Chua, Jeongwon Lee, Alejandro W. Rodriguez, Xiangdong Liang, Steven G. Johnson, John D. Joannopoulos, Marin Soljačić, and Ofer Shapira. Enabling enhanced emission and low-threshold lasing of organic molecules using special Fano resonances of macroscopic photonic crystals. Proceedings of the National Academy of Sciences, 110(34):13711–13716, August 2013. [ bib | DOI | http ]
The nature of light interaction with matter can be dramatically altered in optical cavities, often inducing nonclassical behavior. In solid-state systems, excitons need to be spatially incorporated within nanostructured cavities to achieve such behavior. Although fascinating phenomena have been observed with inorganic nanostructures, the incorporation of organic molecules into the typically inorganic cavity is more challenging. Here, we present a unique optofluidic platform comprising organic molecules in solution suspended on a photonic crystal surface, which supports macroscopic Fano resonances and allows strong and tunable interactions with the molecules anywhere along the surface. We develop a theoretical framework of this system and present a rigorous comparison with experimental measurements, showing dramatic spectral and angular enhancement of emission. We then demonstrate that these enhancement mechanisms enable lasing of only a 100-nm thin layer of diluted solution of organic molecules with substantially reduced threshold intensity, which has important implications for organic light-emitting devices and molecular sensing.

Keywords: cavity, cvoeref, me
[5] Alexander Gumennik, Lei Wei, Guillaume Lestoquoy, Alexander M. Stolyarov, Xiaoting Jia, Paul H. Rekemeyer, Matthew J. Smith, Xiangdong Liang, Benjamin J. B. Grena, Steven G. Johnson, Silvija Gradečak, Ayman F. Abouraddy, John D. Joannopoulos, and Yoel Fink. Silicon-in-silica spheres via axial thermal gradient in-fibre capillary instabilities. Nature Communications, 4, July 2013. [ bib | DOI | http ]
Keywords: fluids, me
[6] X. Liang. Modeling of Fluids and Waves with Analytics and Numerics. PhD thesis, Massachusetts Institute of Technology, 2013. [ bib ]
Keywords: aymanadv, cvoeref, me
[7] Joshua J. Kaufman, Guangming Tao, Soroush Shabahang, Esmaeil-Hooman Banaei, Daosheng S. Deng, Xiangdong Liang, Steven G. Johnson, Yoel Fink, and Ayman F. Abouraddy. Structured spheres generated by an in-fibre fluid instability. Nature, 487(7408):463–467, July 2012. [ bib | DOI | http ]
Keywords: fluids, me, thesischp2
[8] D. S. Deng, J. C. Nave, X. Liang, S. G. Johnson, and Y. Fink. Exploration of in-fiber nanostructures from capillary instability. Optics Express, 19(17):16273+, August 2011. [ bib | DOI | http ]
Keywords: citation8jfm, fiber, fluids, me, thesischp2
[9] X. Liang, D. S. Deng, J. C. Nave, and Steven G. Johnson. Linear stability analysis of capillary instabilities for concentric cylindrical shells. Journal of Fluid Mechanics, 683:235–262, 2011. [ bib | DOI | http ]
Motivated by complex multi-fluid geometries currently being explored in fibre-device manufacturing, we study capillary instabilities in concentric cylindrical flows of $N$ fluids with arbitrary viscosities, thicknesses, densities, and surface tensions in both the Stokes regime and for the full NavierâStokes problem. Generalizing previous work by Tomotika ($N= 2$), Stone & Brenner ($N= 3$, equal viscosities) and others, we present a full linear stability analysis of the growth modes and rates, reducing the system to a linear generalized eigenproblem in the Stokes case. Furthermore, we demonstrate by Plateau-style geometrical arguments that only axisymmetric instabilities need be considered. We show that the $N= 3$ case is already sufficient to obtain several interesting phenomena: limiting cases of thin shells or low shell viscosity that reduce to $N= 2$ problems, and a system with competing breakup processes at very different length scales. The latter is demonstrated with full three-dimensional Stokes-flow simulations. Many $N3$ cases remain to be explored, and as a first step we discuss two illustrative $N→ ∞$ cases, an alternating-layer structure and a geometry with a continuously varying viscosity.

Keywords: aymanadv, fluids, me, mypaper, thesischp2
[10] X. Liang and Roderick Wong. On a Nested Boundary-Layer Problem. Communications on Pure and Applied Analysis, 8(1):419–433, January 2009. [ bib | DOI | http ]
Keywords: analysis, me

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