Abstract
Introduction: Moving sources emitting spiral waves (SSp) such as cardiac
rotors, do not exhibit frequency changes typical of classic Doppler
effect (CDE) physics. Rotors exhibited fastest and slowest frequencies
at either side when migrating passed electrodes, not directly in front
and behind as in CDE. A new spiral wave frequency effect (SFE) equation
required derivation to accurately describe and predict WF frequency
changes observed near a moving SSp. Methods and Results: Rotational and
spiral math were developed to derive new rotational wave frequency
effect (RFE) and SFE equations in two dimensions. Wave front (WF)
strikes from SR occur when clock angle equaled the line of sight (LOS)
angle. WF strikes from spiral sources occurred when spiral summation
angle equaled LOS angle. SFE is analyzed by varying spiral size and
distance from SSp. New RFE and SFE equations predict diametric changes
in frequency that occur simultaneously on either side of a passing
rotor. Conclusions: WF frequency changes near a moving SSp exhibit 3
main differences compared to CDE: side-dependent frequency changes, a
strong-side unpaired WF strike, and a reversal of sequence of
activation. These differences, predicted by new RFE and SFE equations,
constitute the unique diametric property of the rotating waves. Moving
bodies that spin, or moving sources of WFs that rotate, result in
perceived frequency differences that are relative to side of
observation. Additionally, increasing and decreasing frequencies
observed, no longer always represent an approaching and receding SR and
SSp (respectively), especially when observed near the source.