Abstract
A type of Christiansen filter that takes the form of a cylindrical lens is proposed. This kindof Christiansen filter has a pass band narrower than the traditional one, with more meansof control of its performance; it could approximate arbitrary functions over a frequencyrange of interest. An inverse scattering theory for the synthesis of such a filter is developedand a systematic design technique is established. A desired, prescribed response can betailored by properly configuring the lens of the filter. A Gaussian filter centered at225 nm with a full width at half maximum of 1 nm is synthesized and is numericallymodeled on a computer using the finite difference beam propagation method.The simulation results confirm the feasibility of the proposed Christiansen filter.
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