1引言所谓MEG(脑磁图)反源问题,就是根据头外电磁场数据确定脑内神经电流源的活动情况.此类反问题在生物医学中有着广泛的应用,其最经典的一个应用即利用脑磁图仪器确定癫痫病人脑部病灶的位置.癫痫是由脑部神经元群阵发性异常放电所致,这些神经元群的体积一般都很小,因而可以被近似看作是偶极子源[1,6].本文即是考虑由此衍生的反 1 Introduction The so-called inverse problem of MEG (Magnetoencephalography) is to determine the activity of neural current sources in the brain based on the electromagnetic field data outside the head. Such inverse problem has a wide range of applications in biomedicine. One of its most classical applications is the use of Magnetoencephalography (FMRI) determines the location of brain lesions in epileptic patients. Epilepsy is caused by a series of abnormal electrical discharges of neuronal populations in the brain. These neuronal populations are usually small in size and can therefore be approximated as dipoles Source [1,6]. This article considers the resulting derivative