Spiking structure of amplitude characteristics for ion trajectories in hyperboloidal mass spectrometers: the theory.
We present a theory that describes a 'spiking' structure of the amplitude characteristics for trajectories of ions within a hyperboloidal mass spectrometer (HMS) discovered and reported recently. This effect, as well as modulation parametric resonance, relates directly to a fine structure of the stability diagram for a HMS. A method of extremum characteristic solutions of the Hill equation (developed in our laboratory earlier) has been used in this work. Simple expressions determined the shape of narrow dips (or reversed peaks) in the amplitude of ion oscillation versus stability parameter curves and conditions of their appearance are presented. The results that were calculated from analytical expressions are compared with those obtained from direct computations of ion trajectories in a HMS. This effect with respect to a nature of 'black holes' or 'black canyons' observed earlier in investigations of trapping efficiency and ion trapping within ion traps is discussed.
Department of Physics, Ryazan State Radio Technical University, Gagarin str. 59/1, 391000 Ryazan, Russia. sheretov@eac.ryazan.su
Ernst P
EP
Sheretov
Igor V
IV
Philippov
Tatiana B
TB
Karnav
Boris I
BI
Kolotilin
Vladimir W
VW
Ivanov
D004566:Electrodes; D007477:Ions; D013058:Mass Spectrometry / Q000295:instrumentation*; D008433:Mathematics; D008962:Models, Theoretical; D019097:Spin Trapping
D007477:Ions