We present a new method to achieve compactness for zoom lens design with a high zoom ratio. In the method, initial parameters of lens system are solved with Gaussian optics Theory. And then the first-order quantities are assigned to lens modules. After obtaining the lens module zoom system, the real lens groups are successively designed to combine to form lens system. Compared to separately designed lens groups, the approach can give a better starting zoom lens for it has only 9 variables of each group to optimize. Based on the new method, the final design is a four-group zoom system with a focal length range of 10 to 200mm. The system has a variable aperture from 1/2.8 at wide field to 1/5.6 at narrow field. The Modulation Transfer Function(MTF) exceeds 40% at 100lp/mm of all zoom positions, over all fields. Wherefore it has a good imaging performance when used with a 1/3-inch CCD.
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