Homotopy analysis method to study a quadrupole mass filter |
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Authors: | Seddighi Chahrborj S Sadat Kiai S M Abu Bakar M R Ziaeian I Gheisari Y |
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Institution: | Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM, Malaysia. sarkhosh@math.upm.edu.my |
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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 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. |
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