• 作者： 陳昭先; 蔣新國; 陸懋宏
• 作者服務機構： 國立交通大學光電工程學研究所
• 中文摘要： 本文提出一作為計算工具用之普遍性演算法，用以求解符合給定之焦度、球差、彗差及軸向色差目標值之雙分離薄透鏡結構。求解過程如下列步驟。首先，將焦度及軸向色差方程式合併為一元四次方程式，進而由其根值給出鏡片焦度值。第二，將球差及彗差方程式合併為一元四次方程式，並由其根值得到鏡片外型值。最後，經由鏡片之焦度值與外型值求出鏡面曲度。由於一元四次方程式的所有根，均可藉由簡單之純代數方法求出，因此，本文所提出之演算法具有快速與保證解出所有結構之特點。文中並示範三個簡單之例子。
• 英文摘要： An algorithm as a computational tool is proposed for solving the thin-lens structures of airspaceddoublets which have given target values of power, primary spherical aberration, coma and longitudinalchromatic aberration. The problem is solved in the following manner. First, the equations for powerand longitudinal chromatic aberration are combined into a quartic polynomial equation whose roots givethe element powers. Second, a quartic equation is obtained by combining the equations of andThe roots of this equation give the element shapes. Finally, surface curvatures are calculated from thevalues of the element powers and shapes．Since the roots of the quartic equations can be solved by usingpurely simple algebraic methods, this algorithm is rapid and guarantees that all the lens structures canbe found. Three simple examples are presented.
• 中文關鍵字： doublet; airspaced doublet; thin-lens design
• 英文關鍵字： --