Gouy phase shift

FIGURE 9.1 Amplitude and phase profiles of focal fields. Amplitude (a) and (b) phase in the focal xy-plane. Amplitude (c) and phase (d) in the yz-plane. The phase difference below and above the focal plane is a signature of the Gouy phase shift. The propagation phase was subtracted for clarity. Calculations are for a 1.1 NA water immersion lens and the wavelength is 800 nm. In the panels the lateral axis runs from -1.0 xm to 1.0 xm and the axial axis from -3 4m to 3 xm. 

Feng, S., and Winful, H. G. 2001. Physical origin of the Gouy phase shift. Opt. Lett. 26 485-87. 

Popov, K.I., Pegoraro, A.E, Stolow, A., and Ramunno, L. (2011) Image formation in CARS microscopy effect of the Gouy phase shift. Opt. Express, 19, 5902 -5911. 

Fig. 5. Relative surface excesses of Li ( ) and Cl (o) ions as functions of the surface charge density in aqueous phase at the interface between 0.1 mol dm TBATPB nitrobenzene solution and 0.1 mol dm LiCl aqueous solution. The solid lines are the theoretical curves based on the Gouy-Chapman theory (the right-hand sides of Eq. (14)). The dashed lines are the theoretical curves shifted by — 3 X 10 12molcm" for correction of (Eq. (10))...

At higher salt concentration (c>0.5 M) the screening exceeds to an even greater extent that predicted by Gouy-Chapman theory, and the transition temperature flattens off to a plateau value at salt concentrations of c —1.5 - 2 M. Independent measurements using charged partitioning spin labels indicate that the surface potential of the bilayers is completely screened at this salt concentration. Thus from Fig. 2.7 it appears that the electrostatic phase transition temperature shift is effectively screened in >2 M... 

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