• Publications
  • Influence
Geometrical theory of diffraction.
  • J. Keller
  • Physics, Medicine
  • Journal of the Optical Society of America
  • 1 February 1962
The geometrical theory of diffraction is an extension of geometrical optics which accounts for diffraction. It introduces diffracted rays in addition to the usual rays of geometrical optics. TheseExpand
On solutions of δu=f(u)
Transport equations for elastic and other waves in random media
Abstract We derive and analyze transport equations for the energy density of waves of any kind in a random medium. The equations take account of nonuniformities of the background medium, scatteringExpand
Bubble Oscillations of Large Amplitude
A new equation is derived for large amplitude forced radial oscillations of a bubble in an incident sound field. It includes the effects of acoustic radiation, as in Keller and Kolodner’s equation,Expand
The transverse force on a spinning sphere moving in a viscous fluid
The flow about a spinning sphere moving in a viscous fluid is calculated for small values of the Reynolds number. With this solution the force and torque on the sphere are computed. It is found thatExpand
Slender-body theory for slow viscous flow
Slow flow of a viscous incompressible fluid past a slender body of circular crosssection is treated by the method of matched asymptotic expansions. The main result is an integral equation for theExpand
Poroelasticity equations derived from microstructure
Equations are derived which govern the linear macroscopic mechanical behavior of a porous elastic solid saturated with a compressible viscous fluid. The derivation is based on the equations of linearExpand
A Theorem on the Conductivity of a Composite Medium
A composite medium consisting of a rectangular lattice of identical parallel cylinders of arbitrary cross section is considered. The cylinders have conductivity σ2 and are imbedded in a medium ofExpand
Conductivity of a Medium Containing a Dense Array of Perfectly Conducting Spheres or Cylinders or Nonconducting Cylinders
The effective electrical conductivity σ is computed for a composite medium consisting of a dense cubic array of identical, perfectly conducting spheres imbedded in a medium of conductivity σ0. WhenExpand
Exact non-reflecting boundary conditions
An exact non-reflecting boundary condition is devised for use in solving the reduced wave equation in an infinite domain. The domain is made finite by the introduction of an artificial boundary onExpand