We present an information-theoretic approach to obtain an estimate of the number of bits that can be hidden in still images, or, the capacity of the data-hiding channel. We show how the addition of the message signal or signature in a suitable transform domain rather than the spatial domain can signiicantly increase the channel capacity. Most of the state-of-the-art schemes developed thus far f...

This article describes a method to accelerate parallel, explicit time integration of two-dimensional unsteady PDEs. The method is motivated by our observation that latency, not bandwidth, often limits how fast PDEs can be solved in parallel. The method is called the swept rule of space-time domain decomposition. Compared to conventional, space-only domain decomposition, it communicates similar ...

We present a Schur complement domain decomposition method that can significantly accelerate simulation of ensembles of locally differing optical structures. We apply the method to design a multi-spatial-mode photonic crystal waveguide splitter that exhibits high transmission and preservation of modal content, showing design acceleration by more than a factor of 20.

A new method is presented for the optimal control design of one-dimensional heat equation with the actuators being concentrated at discrete points in the spatial domain. This systematic methodology incorporates the advanced concept of proper orthogonal decomposition for the model reduction of distributed parameter systems. After deigning a set of problem oriented basis functions an analogous op...

Stability and convergence analyses for the domain decomposition finite element/finite difference (FE/FD) method are presented. The developed a semi-discrete element scheme time-dependent Maxwell’s equations. explicit schemes in different settings of spatial constructed algorithm is formulated. Several numerical examples validate rates obtained theoretical studies.

Acquiring precise information about the mode content of a laser is critical for multiplexed optical communications, imaging with active wave-front control, and quantum-limited interferometric measurements. Hologram-based decomposition devices, such as spatial light modulators, allow fast, direct measurement content, but they have limited precision due to cross-coupling between modes. Here we re...