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Homotopy analysis method to study a quadrupole mass filter
Author(s) -
Seddighi Chahrborj S.,
Sadat Kiai S. M.,
Abu Bakar M. R.,
Ziaeian I.,
Gheisari Y.
Publication year - 2012
Publication title -
journal of mass spectrometry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.475
H-Index - 121
eISSN - 1096-9888
pISSN - 1076-5174
DOI - 10.1002/jms.2041
Subject(s) - chemistry , homotopy analysis method , quadrupole , ion , computation , nonlinear system , filter (signal processing) , rod , stability (learning theory) , field (mathematics) , mathematical analysis , analytical chemistry (journal) , mathematics , atomic physics , physics , algorithm , chromatography , quantum mechanics , pure mathematics , machine learning , medicine , alternative medicine , organic chemistry , pathology , computer science , computer vision
The homotopy analysis method (HAM) is applied to study the behavior of a hyperbolic rods of quadrupole mass filter and a sinusoidal potential form V ac cos( Ωt ). Numerical computation method of a 20th‐order HAM is employed to compare the physical properties of the confined ions with fifth‐order Runge–Kutta method. Also, comparison is made for the first stability region, the ion trajectories in real time, the polar plots, and the ion trajectory in x − y plan. The results show that the two methods are fairly similar; therefore, the HAM method has potential application to solve linear and nonlinear equations of the charge particle confinement in quadrupole field. Copyright © 2012 John Wiley & Sons, Ltd.