Boundary diffraction of an inhomogeneous wave

Boundary diffraction wave integrals for diffraction modeling of external occulters.

An occulter is a large diffracting screen which may be flown in conjunction with a telescope to image extrasolar planets. The edge is shaped to minimize the diffracted light in a region beyond the occulter, and a telescope may be placed in this dark shadow to view an extrasolar system with the starlight removed. Errors in position, orientation, and shape of the occulter will diffract additional...

ON BOUNDARY - ELEENT SOLUTIONS OF " WAVE RADIATION - DIFFRACTION PROBLEMS Paul

A distinct feature of wave boundaryintegral equations are the " irregular Two topics on the numerical solution of frequencies. They coincide with the eigenboundary-integral equations arising in linear frequencies of the interior Dirichlet or wave-body interactions are discussed. The Neumann problems, and are known to introduce properties of a spectral technique for the large errors in the predi...

Diffraction of ultrashort Gaussian pulses within the framework of boundary diffraction wave theory

We study the diffraction of Gaussian pulses and beams within the framework of boundary diffraction wave theory. For the first time the boundary diffraction wave theory is applied to pulsed Gaussian beams, and it is shown that the diffracted field of a pulsed Gaussian beam on a circularly symmetric aperture can be evaluated by a single 1D integration along the diffracting aperture at every point...

Wave Propagation in an Inhomogeneous Medium

Diffraction of a Plane Wave by a Circular Cone with an Impedance Boundary Condition

We consider the boundary-value problem for the Helmholtz equation in a circular cone with an impedance boundary condition on its face. A new approach for its solution is proposed. The scheme of solution includes applying the Kontorovich–Lebedev transform, derivation of a secondorder difference equation in a strip of a complex variable, and reduction of the latter to an integral equation of the ...