banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Time-resolved ellipsometry for studies of heat transfer at liquid/solid and gas/solid interfaces
Rent this article for


Image of FIG. 1.
FIG. 1.

Schematic drawing of the time-resolved ellipsometer. P: polarizer; W: wave-plate; A: analyzer; S: slit; D: silicon photodiode. The inset shows a magnified view of the sample.

Image of FIG. 2.
FIG. 2.

Optical model for the effect of the propagation of an acoustic pulse on the ellipsometry parameters and . The geometry of the model is shown as the inset to panel (a). Data in panel (a) are the simulation result as a function of the propagation distance of the acoustic pulse, ; and are the ellipsometry parameters in the absence of the acoustic pulse. Panel (b) shows a comparison between the changes in calculated directly from the model (solid line) and the changes in derived indirectly (filled symbols) by the simulation of our measurement.

Image of FIG. 3.
FIG. 3.

The acoustic signal from the Au film measured at short time is used as an input to simulate the acoustic wave that enters water. The inset shows the geometry of a simulation model: three acoustic pulses are modeled as three layers in water with corresponding distances and proportional values of the index of refraction.

Image of FIG. 4.
FIG. 4.

Comparison of measured and simulated phase of the acoustic wave in time-resolved ellipsometry for a Au film in contact with water. Changes in are plotted against delay time between pump and probe optical pulses.

Image of FIG. 5.
FIG. 5.

Sensitivity of time-resolved ellipsometry calculated at time zero using the same conditions as described in Fig. 2. An inverse dependence of , which is probe power change induced by the pump pulses normalized by the total power incident on the photodiode, is predicted with respect to off-null angle. The arrow indicates the off-null angle of ≈5° selected for typical experiments and 45° used for the method based on a polarizing beamsplitter.

Image of FIG. 6.
FIG. 6.

The experimental quantity , at the off-null angle denoted in Fig. 5, is plotted against delay time for water. Also plotted in this panel are the pump-probe signals measured using and polarized light at the same angle of incidence, as would be done in a typical measurement by picosecond interferometry.

Image of FIG. 7.
FIG. 7.

Time-resolved ellipsometry measured in various gases, both simple (Ar, , , and He) and complex (the refrigerant R134a), at atmospheric pressure. (a) Relative phase angle plotted against delay time in ns. Each data set is shifted vertically by from the data for He. (b) Representative fits to the Ar data, and the contribution of each exponential and damped oscillation part are plotted.

Image of FIG. 8.
FIG. 8.

Comparison to the reference values measured at 11 MHz. The absorption and dispersion of sound waves, obtained from Fig. 7 using the model described in the text, are compared to data from Refs. 26 and 27 for Ar (squares), (circles), and (crosses).


Generic image for table
Table I.

Fitting parameters at Au/gas interfaces.

Generic image for table
Table II.

Parameters for the calculation of Fig. 8 at 331 K (Refs. 28 and 29).


Article metrics loading...


Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Time-resolved ellipsometry for studies of heat transfer at liquid/solid and gas/solid interfaces