This paper proposes a novel method for fast calculating the scattering pattern of large plane arrays.In this method

the induced element patterns of large plane array are constructed from those of a small plane subarray.Then the scattered field of the large plane array is obtained by summing over the induced element pattern of all elements.Furthermore

the method is modified to reduce the computational burden.The expression of the modified method is derived and the large plane array analysis problem is converted into four simplified small plane array problems.In addition

the effects of the mutual coupling and the surrounding array environment are rigorously taken into account.Example arrays of horn antennas are analyzed to assess the proposed method.The calculated results agree well with the ones simulated by HFSS.