Yang Jiao
	Ph. D. Candidate, Stanford University Department of Electrical Engineering M.S., Electirical Engineering, Stanford, 2002 B.S., Electirical Engineering and Computer Science, Berkeley, 2000 Email: jiaoyang(at)stanford.edu Personal Web Page: http://www.stanford.edu/~jiaoyang/ Office: Ginzton 227 Phone: (650) 799-8291

Nonuniform Photonic Crystals and Resonace Enhancement of Optical Effects In the Miller Group here at Stanford, my research is focused on developing methods to efficiently design and analyze photonic nanostructures. Recent work are in two areas: Anayltical design of nonuniform photonic crystals for controlled beam propagation, without going through painful FDTD calculations: Perfectly periodic photonic crystals can be anaylized by Bloch-wave methods, but what happens when there is nonuniformity in the photonic crystal? The nonuniformity could come from fabrication errors, or they could be part of the design to achieve certain device functions. One way to analyze the nonuniformity is through finite-difference time-domain (FDTD) simulation. Which is very time consumming and only good for anaylsis. I have been working on a analytical method to track a gaussian beam’s center and beam width when propagating in a 2-D nonuniform photonic crystal. Most importantly, this method can be used to design the nonuniformity in photonic crystals to achieve various device functions. Resonance enhancement of optical effects: Many optical systems are built by putting a gain medium, a nonlinear crystal, or a absorber in inside a cavity. The resonace of the cavity greatly enhances the effect of the material inside on the optical field. There are many other methods for introducing optical resonances, with dispersion relations other than the simple Lorenizian line of a single Fabry-Perot cavity. With a carefully choosen dispersion characteritic for the resonator, one can precisely control the effect of the gain/nonlinear medium over a wide frequency range. The question is, given a desired dispersion relations, how do I build a resonator or a group of coupled resonators to achieve it? As a start, I have used digital signal processing methods to design coupled cavities to give arbitrary dispersion relations. References and Publications: Y. Jiao, S. Fan, and D. A. B. Miller, "Photonic Crystal Defect Sensitivity Analysis with Wannier Basis Gradients," Optics Letters, 2004 (submitted) Y. Jiao, S. Fan, and D. A. B. Miller, "Designing for beam propagation in periodic and nonperiodic photonic nanostructures: the extended Hamiltonian method," Physical Review E 2004 (accepted). Y. Jiao, S. Yu, S. Fan, and D. A. B. Miller, "Multimode interference device in 2-D non-uniform photonic crystal slab," Conference on Lasers and Electro Optics/International Quantum Electronics Conference, CLEO/IQEC 2004 Y. Jiao, S. Fan, and D. A. B. Miller, "Extended Hamiltonian Method for Photonic Crystal with Nonuniformties," Lasers and Electro-Optics Society Annual Meeting, LEOS 2003. Y. Jiao, S. R. Bhalotra, H. L. Kung, and D.A.B. Miller. "Adaptive imaging spectrometer in a time-domain filtering architecture," Optics Express, v.11, no.17, p.1960-1965, Aug 2003. S. R. Bhalotra, H. L. Kung, Y. Jiao, and D. A. B. Miller, "Adaptive time-domain filtering for real-time spectral discrimination in a Michelson interferometer," Optics Letters, v. 27, no. 13, p.1147-1149, 2002. Y. Jiao, S. R. Bhalotra, H. L. Kung, and D. A. B. Miller, "Adaptive Coherence Imaging System with Time-Domain Filtering," Lasers and Electro-Optics Society Annual Meeting. LEOS 2002. Y. Jiao, S. R. Bhalotra, H. L. Kung, and D. A. B. Miller, "Adaptive Imaging Spectrometer in a Time-Domain Filtering Architecture," Lasers and Electro-Optics Society Annual Meeting. LEOS 2001. A. E. Franke, Y. Jiao, M. T. Wu, T.-J. King, and R. T. Howe, "Post-CMOS Modular Integration of Ploy-SiGe Microstructures Using Ploy-Ge Sacrificial Layers," Hilton Head 2000, Hilton Head Island, SC, June 2000.