Table 1. Scaling Dependencies of the Pump-Probe Signal (ΔOD) for the Competitive Absorber Model in the Low Fluence Limit^a.

	Low OD (<0.1)b	High OD (>0.5)
Inverse Beam Waist (	Quadratic	Quadratic
Analyte Molar Absorptivity(a)	Quadratic	Linear
Pump Energy (Resonant Bandwidth)	Linear	Linear
Concentration of Analyte(a)	Linear	Bounded-Exponential
Path Length(T)	Linear	Bounded-Exponential
Solvent Molar Absorptivity	Hyperbolic Decay	Hyperbolic Decay

^a(a) Distinguishes limits of absorption relative to OD of analyte and (T) distinguishes limits of absorption relative to OD of analyte + solvent.

^bBold text highlights canceling effects between the beam waist and optimal path length in the limiting case of weak absorption (section 5.4).