Steering and focusing diffusive fields using synthetic aperture
Center for Wave Phenomena, Colorado School of Mines - Golden, CO, 80401, USA
2 Department of Geotechnology, Delft University of Technology - Delft, The Netherlands, EU
3 Shell International Exploration & Production - Houston, TX, USA
Accepted: 20 June 2011
Although beam steering and focusing have been used for waves in many important ways, the application of these concepts to diffusive fields has not been wide spread because of the common belief that diffusion lacks directionality and therefore can neither be steered nor focused. We use the similarities between diffusion and waves and prove that diffusive fields can be steered and focused both in the frequency domain and in the time domain. This finding has the potential of extending the use of diffusive fields as a diagnostic tool in science.
PACS: 41.20.Jb – Electromagnetic wave propagation; radiowave propagation / 42.25.Bs – Wave propagation, transmission and absorption / 02.30.Jr – Partial differential equations
© EPLA, 2011