声学散射问题中脉冲平面波的修正玻恩近似的有效性。

Validity of a modified Born approximation for a pulsed plane wave in acoustic scattering problems.

作者信息

Saha Ratan K, Sharma Subodh K

机构信息

Microelectronics Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata-700064, India.

出版信息

Phys Med Biol. 2005 Jun 21;50(12):2823-36. doi: 10.1088/0031-9155/50/12/007. Epub 2005 Jun 1.

DOI:10.1088/0031-9155/50/12/007

PMID:15930605

Abstract

The validity domain of a modified Born approximation (MBA) has been examined for the scattering of a pulsed plane wave (PPW). This new approximation has been compared with exact results and also with the conventional Born approximation (BA). Comparisons have been made for the scattering by a homogeneous sphere. Error charts have been presented for various scatterer sizes and acoustic properties for forward as well as back scattering. The pulse width has also been varied. Our study shows that the modified Born approximation is generally preferable to the conventional Born approximation in the forward direction. In the backward direction both approximations have a similar kind of validity domain. These observations are important in view of the fact that the Born approximation has been widely used in acoustic scattering problems.

摘要

针对脉冲平面波（PPW）散射的情况，已对修正的玻恩近似（MBA）的有效性范围进行了研究。已将这种新的近似与精确结果以及传统的玻恩近似（BA）进行了比较。对均匀球体的散射进行了比较。给出了针对不同散射体尺寸和声学特性的前向及后向散射的误差图。脉冲宽度也有所变化。我们的研究表明，在向前方向上，修正的玻恩近似通常比传统的玻恩近似更可取。在向后方向上，两种近似具有类似的有效性范围。鉴于玻恩近似已在声学散射问题中被广泛使用，这些观察结果具有重要意义。