Homotopy analysis method to study a quadrupole mass filter

S Seddighi Chaharborj; S M Sadat Kiai; M R Abu Bakar; I Ziaeian; Y Gheisari

doi:10.1002/jms.2041

Homotopy analysis method to study a quadrupole mass filter

J Mass Spectrom. 2012 Apr;47(4):484-9. doi: 10.1002/jms.2041.

Authors

S Seddighi Chaharborj¹, S M Sadat Kiai, M R Abu Bakar, I Ziaeian, Y Gheisari

Affiliation

¹ Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM, Malaysia. sarkhosh@math.upm.edu.my

PMID: 22689625
DOI: 10.1002/jms.2041

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.