Homotopy analysis method to study a quadrupole mass filter |
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| Authors: | S Seddighi Chahrborj S M Sadat Kiai M R Abu Bakar I Ziaeian Y Gheisari |
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| Institution: | 1. Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, , 43400 UPM Malaysia;2. Department of Mathematics, Science and Research Branch, Islamic Azad University, Bushehr Branch, , Bushehr, Iran;3. Nuclear Science Research School and Technology Research Institute (NSTRI), , Tehran, Iran;4. Department of Mathematics, Islamic Azad University, Bushehr Branch, , Bushehr, Iran |
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| Abstract: | The homotopy analysis method (HAM) is applied to study the behavior of a hyperbolic rods of quadrupole mass filter and a sinusoidal potential form Vac 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. |
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| Keywords: | quadrupole mass filter homotopy analysis method fifth‐order Runge– Kutta method stability regions ion trajectory error |
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