CAREER: Light in Chaotic Dielectrics - Resonances and Scattering

这是一个支持研究和教育的职业奖。 特别是，PI将研究光在混沌中的行为。 由于极高的相干性和通过改变系统的形状和大小来操纵射线动力学的能力，变形介质谐振器代表了一个理想的系统来研究决定一般保守动力学系统演化的基本现象。 在过去的几年中，这种结构也被用于开发许多新颖的光子器件，例如，我们的“蝴蝶结”微激光器，其输出功率增加了三个数量级。该基金的主要研究目标是研究这些介质系统中的共振和光散射。 研究课题包括：变形介质谐振器中的谐振寿命和发射模式的半经典理论;开放系统中的Arnold扩散和混沌辅助隧穿;二维和三维几何结构中的介质谐振器中的动态安德森局部化和“疤痕”;非线性动力学和现代经典方法也是教学的重点程序. 在这里，主要目标是把这些想法带到本科和研究生阶段的光学课程中。这是一个支持研究和教育的职业奖。 特别是，PI将研究光在混沌中的行为。 由于极高的相干性和通过改变系统的形状和大小来操纵射线动力学的能力，变形介质谐振器代表了一个理想的系统来研究决定一般保守动力学系统演化的基本现象。该基金的主要研究目标是研究这些介电系统中的共振和光散射，在研究中发挥主要作用的非线性动力学和现代经典方法也是教育计划的重点。 这里的主要目标是把这些想法的光学课程在本科和研究生水平。

This is a CAREER award which supports both research and education. In particular, the PI will study the behavior of light in chaotic dielectrics. Due to the extremely high degree of coherence and the ability to manipulate ray dynamics by changing the shape and the size of the system, deformed dielectric resonators represent an ideal system to study the fundamental phenomena which determine the evolution of generic conservative dynamical systems. In the last few years, such structures were also used to develop a number of novel photonics devices, e.g., our "bow-tie" microlaser with power output increased by three orders of magnitude.The primary research goal of this grant is the study of resonances and light scattering in these dielectric systems. Research topics will include: a semiclassical theory of resonance lifetimes and emission patterns in deformed dielectric resonators; Arnold diffusion and chaos-assisted tunneling in open systems; dynamic Anderson localization and "scars" in dielectric resonators, both in two- and three-dimensional geometries; light scattering by nonspherical dielectric particles.The nonlinear dynamics and modern classical methods which play the major role in research are also the focus of the education program. Here the primary goal is to bring these ideas to the optics curriculum at both the undergraduate and graduate level.This is a CAREER award which supports both research and education. In particular, the PI will study the behavior of light in chaotic dielectrics. Due to the extremely high degree of coherence and the ability to manipulate ray dynamics by changing the shape and the size of the system, deformed dielectric resonators represent an ideal system to study the fundamental phenomena which determine the evolution of generic conservative dynamical systems. The primary research goal of this grant is the study of resonances and light scattering in these dielectric systems.The nonlinear dynamics and modern classical methods which play the major role in research are also the focus of the education program. Here the primary goal is to bring these ideas to the optics curriculum at both the undergraduate and graduate level.