6 citations · 11 across the 6 of their papers we have counts for
6 papers
A rigorous coupled-wave analysis of birefringent holographic gratings with periodically-modulated dielectric tensor along an in-plane direction and tensor variations in the thickness direction
Masud Mansuripur, Per Kristen Jakobsen
Diffraction of light upon interaction with thick slabs of a dielectric material having a periodic modulation of its refractive index (or dielectric tensor) is typically studied wit…
General method for solving nonlinear optical scattering problems using fix point iterations
Per Kristen Jakobsen
In this paper we introduce a new fix point iteration scheme for solving nonlinear electromagnetic scattering problems. The method is based on a spectral formulation of Maxwell's eq…
The continuum limit of k-space cavity angular momentum is controlled by an infinite range difference operator
Per Kristen Jakobsen, Masud Mansuripur
A wavepacket (electromagnetic or otherwise) within an isotropic and homogeneous space can be quantized on a regular lattice of discrete k-vectors. Each k-vector is associated with…
On the Nature of the Sommerfeld-Brillouin Forerunners (or Precursors)
Per K. Jakobsen, Masud Mansuripur
We present a brief overview of Sommerfeld's forerunner signal, which occurs when a monochromatic plane-wave (frequency ω=ω_s) suddenly arrives, at time t=0 and at normal incidence,…
An approach to constructing super oscillatory functions
Masud Mansuripur, Per K. Jakobsen
A recipe is presented for constructing band-limited superoscillating functions that exhibit arbitrarily high frequencies over arbitrarily long intervals.
An Introduction to Partial Differential Equations
Per Kristen Jakobsen
The field of partial differential equations (PDEs) is vast in size and diversity. The basic reason for this is that essentially all fundamental laws of physics are formulated in te…