Scattering from three-dimensional objects embedded in multilayered media

Ibrahim M. Elshafiey; Lalita Udpa; Satish S. Udpa

doi:10.1117/12.186720

14 September 1994 Scattering from three-dimensional objects embedded in multilayered media

Ibrahim M. Elshafiey, Lalita Udpa, Satish S. Udpa

Proceedings Volume 2275, Advanced Microwave and Millimeter-Wave Detectors; (1994) https://doi.org/10.1117/12.186720
Event: SPIE's 1994 International Symposium on Optics, Imaging, and Instrumentation, 1994, San Diego, CA, United States

Abstract

This paper presents a model for computing the scattered field of a three dimensional scatterer embedded in multilayered media. The embedded object is modeled using a volume integral equation approach which allows the handling of general inhomogeneous objects. THe multilayered media is modeled using a transmission line analogy. The scattered field is obtained by obtaining the equivalent current sources in the discretization elements of the object. The convolution-form of the volume integral formulation allows the use of the conjugate gradient FFT computation method which is essential for reducing the memory storage requirements. Formulations are presented for scattering from an object in free space, a scatterer on top of a perfectly conducting surface and a scatterer embedded in multilayered media. The Green's function of the integral equation has two parts: a free space primary part and a secondary part due to the layered media. The secondary Green's function is in the form of Sommerfeld's integration which commonly has a fast oscillating integrand. Different techniques are presented to overcome this difficulty. This includes using an asymptotic solution using the stationary phase method and real axis integration. Results are presented for scattering from a sphere as an example of the object.

Citation Download Citation

Ibrahim M. Elshafiey, Lalita Udpa, and Satish S. Udpa "Scattering from three-dimensional objects embedded in multilayered media", Proc. SPIE 2275, Advanced Microwave and Millimeter-Wave Detectors, (14 September 1994); https://doi.org/10.1117/12.186720

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