Baranov Vladimir I
MDS SCIEX, Concord, Ontario, Canada.
J Am Soc Mass Spectrom. 2003 Aug;14(8):818-24. doi: 10.1016/S1044-0305(03)00325-8.
Implementation of the analytical method of the solution of the Mathieu equation in conjunction with the algebraic presentation of Mathieu functions is discussed in this work. This approach is used for the analytical expression of fundamental properties of the quadrupole field such as ion trajectory stability and transmission. Extensive comparison with the matrix method is presented with demonstration of the fundamental advantages of the analytical method. However, contrary to the matrix method, the analytical method is limited to the cos trapping waveforms.
本文讨论了将Mathieu方程的求解分析方法与Mathieu函数的代数表示相结合的实现方法。该方法用于四极场基本特性的解析表达式，如离子轨迹稳定性和传输。文中给出了与矩阵方法的广泛比较，并展示了该解析方法的基本优势。然而，与矩阵方法不同的是，该解析方法仅限于余弦俘获波形。
