Turbidity Suppression via Optical Phase Conjugation (TS-OPC) is an optical phenomenon that uses the back propagation nature of optical phase conjugate light field to undo the effect of tissue scattering. We use the computationally efficient and accurate pseudospectral time-domain (PSTD) simulation method to study this phenomenon; a key adaptation is the volumetric inversion of the optical wavef...

In this paper, we have done the simulation of ultrasonic field propagation in human tissue medium from a phased array transducer. The ultrasound plane wave propagation has been modeled using the B/A model and has been solved using the time domain based pseudospectral method. The generation of second harmonic field has been studied along the on-axis and off-axis as well and has been compared wit...

A pseudospectral method for the analysis of diffractive optical elements is presented. This method is a fullvectorial direct solution of the time-domain Maxwell equations based on a spectral approximation of the spatial derivatives employed within a multidomain framework. The method exhibits little numerical dispersion, and only a few points per wavelength are needed to accurately resolve the p...

In this paper, simple modifications to the pseudospectral time-domain (PSTD) algorithm that offer dispersion compensation are presented. In a homogeneous lossless medium, the compensation offers an exact solution for one-dimensional (1D) propagation. For 2D and 3D propagation, the proposed method can compensate dispersion for a central frequency in any direction. The techniques are then extende...

We report what we believe to be the first rigorous numerical solution of the two-dimensional Maxwell equations for optical propagation within, and scattering by, a random medium of macroscopic dimensions. Our solution is based on the pseudospectral time-domain technique, which provides essentially exact results for electromagnetic field spatial modes sampled at the Nyquist rate or better. The r...

The pseudospectral time-domain (PSTD) algorithm is implemented to numerically solve Maxwell's equations to obtain the optical properties of millimeter-scale random media consisting of hundreds of micron-scale dielectric scatterers. Our methodology accounts for near-field interactions and coherent interference effects that are not easily modeled using other techniques. In this paper, we show tha...

In the context of wave-like phenomena, Fourier pseudospectral time-domain (PSTD) algorithms are some of the most efficient time-domain numerical methods for engineering applications. One important drawback of these methods is the so-called Gibbs phenomenon. This error can be avoided by using absorbing boundary conditions (ABC) at the end of the simulations. However, there is an important lack o...

This article presents a pseudospectral method for the simulation of nonlinear water waves described by potential flow theory in three spatial dimensions. The utilizes an artificial boundary condition that limits vertical extent fluid domain, and it is found reduction domain size offered enables solution Laplace problem with roughly half degrees freedom compared to another spectral literature (w...

We show how the collocation framework that is prevalent in the radial basis function literature can be modified so that the methods can be interpreted in the framework of standard pseudospectral methods. This implies that many of the standard algorithms and strategies used for solving time-dependent as well as time-independent partial differential equations with (polynomial) pseudospectral meth...

[1] We report a full-vector, three-dimensional, numerical solution of Maxwell’s equations for optical propagation within, and scattering by, a random medium of macroscopic dimensions. The total scattering cross section is determined using the pseudospectral time domain technique. Specific results reported in this paper indicate that multiply scattered light also contains information that can be...