中文摘要：

采用模型独立方法通过对比现今天文观测数据光度距离DL和角直径距离DA来验证距离对偶关系DL/（DA（1＋z）2）=1.为了得到与角直径距离相同红移所对应的光度距离,对超新星数据采用2种方法进行处理：并方法和抹平法,同时对距离对偶关系进行4种参数化：η=1＋ηoz,η=1＋ηoz/（1＋z）,η=1＋ηoz/（1＋z）2,η=1-ηoln（1＋z）,通过对比光度距离与角直径距离,利用卡方统计对ηo进行限制,从而验证距离对偶关系的有效性.结果表明,距离对偶关系和目前的观测数据符合的较好,没有明显的偏差,并且所得结果与所选用的方法和参数化形式无关.

英文摘要：

The cosmological-model-independent tests were performed for the distance- duality（ DD）relation DL/（ DA（ 1 ＋ z）2） = 1 by combining the angular diameter distance DAwith the luminosity distance DL.Two methods were employed,method A was binning the SNe Ia data and method B was smoothing method with the Gaussian smoothing function, to obtain DLassociated with the redshits of the observed DA. Four parameterizations were adopted,separoctely they were η = 1 ＋ ηoz,η = 1 ＋ ηoz /（ 1 ＋ z）,η = 1 ＋ ηoz /（ 1 ＋ z）2,η = 1- ηoln（ 1 ＋ z）. It found that DD relation was consistent with the present observational data,and the results were not sensitive to the methods and parameterizations.