Harish S. Bhat

Electrical funnel: A broadband signal combining method

A non-uniform 2D propagation medium is compatible with modern IC processes and is used to produce a 4-to-1 broadband power combiner called an electrical funnel. The combiner is used in a wideband power amplifier in a 0.13mum SiGe BiCMOS process and yields 125mW peak output power at 85GHz with a 24GHz 3dB bandwidth

Extremely wideband signal shaping using one- and two-dimensional nonuniform nonlinear transmission lines

We propose a class of electrical circuits for extremely wideband (EWB) signal shaping. A one-dimensional, nonlinear, nonuniform transmission line is proposed for narrow pulse generation. A two-dimensional transmission lattice is proposed for EWB signal combining. Model equations for the circuits are derived. Theoretical and numerical solutions of the model equations are presented, showing that the circuits can be used for the desired application. The procedure by which the circuits are designed exemplifies a modern, mathematical design methodology for EWB circuits.

A Hamiltonian Regularization of the Burgers Equation

We consider a quasilinear equation that consists of the inviscid Burgers equation plus O(α2) nonlinear terms. As we show, these extra terms regularize the Burgers equation in the following sense: for smooth initial data, the α > 0 equation has classical solutions globally in time. Furthermore, in the zero-α limit, solutions of the regularized equation converge strongly to weak solutions of the Burgers equation. We present numerical evidence that the zero-α limit satisfies the Oleinik entropy inequality. For all α ≥ 0, the regularized equation possesses a nonlocal Poisson structure. We prove the Jacobi identity for this generalized Hamiltonian structure.

LAGRANGIAN AVERAGING FOR COMPRESSIBLE FLUIDS

This paper extends the derivation of the Lagrangian averaged Euler (LAE-

Ultrafast Analog Fourier Transform Using 2-D LC Lattice

\alpha

Option pricing under a normal mixture distribution derived from the Markov tree model

) equations to the case of barotropic compressible flows. The aim of Lagrangian averaging is to regularize the compressible Euler equations by adding dispersion instead of artificial viscosity. Along the way, the derivation of the isotropic and anisotropic LAE-

Harmonic Generation Using Nonlinear LC Lattices

\alpha

Diffraction on the Two-Dimensional Square Lattice

equations is simplified and clarified. The derivation in this paper involves averaging over a tube of trajectories

Kirchhoff's Laws as a Finite Volume Method for the Planar Maxwell Equations

\eta^\epsilon

Fast solution of load shedding problems via a sequence of linear programs

centered around a given Lagrangian flow