Third harmonic power

FIGURE 6.2 (a) The ratio of the third harmonic powers generated on two interfaces as a function of molar concentration of sodium chloride in distilled water, (b) The measured value of of solution as a function of molar concentration of sodium chloride in distilled water. 

FIGURE 6.5 The measured power of the third harmonic power generated in the bulk of solution containing 0.5- xm-diameter fused silica microspheres as a function of microspheres concentration. Circles are experimentally measured data points the dashed line is a linear fit. 

Note that the waves can propagate along the helical axis in either direction, and, correspondingly, the wave vectors k can be positive or negative. The generated third-harmonic intensity is given by Eq. (7), which is of course independent of the coordinate system we choose. If the beam has a finite cross section, then the total third-harmonic power is ... 

FIG. 14. Normalized third-harmonic power vs relative lime delay of the tw o fundamental laser pulses propagating in opposite directions in the mixture of Fig. 12 at the phase-matching temperature 29.9 °C. The circles are experimental points with an uncertainty of 20-c. The solid curve is obtained from theoretical calculation by assuming that the mode-locked pulses are made of two half-Gaussian curves joined at their maxima, with the leading half 5.5 times broader than the lagging half. 

The third harmonic power as a function of the incidence angle 0 is given by [194]... 

It is common practice to leave the star-connected capacitor banks ungrounded when used in the system or use delta-connected banks to prevent the flow of third harmonic currents into the power system through the grounded neutral. 

Many electrical problems, or problems associated with the quality of the incoming power and internal to the motor, can be isolated by monitoring the line frequency. Line frequency refers to the frequency of the alternating current being supplied to the motor. In the case of 60-cycle power, monitoring of the fundamental or first harmonic (60 Hertz), second harmonic (120 Hz), and third harmonic (180 Hz) should be performed. 

Table 1 Coefficients for 7[ (a ) for third harmonic generation (THG), degenerate four wave mixing (DFWM), electric field induced second harmonic generation (ESHG), and Kerr effect in methane at the experimental geometry rcH = 2.052 a.u. A CCSD wavefunction and the t-aug-cc-pVDZ basis were used. (Results given in atomic units, the number in parentheses indicate powers of ten.)...

This scheme of frequency tripling was successfully tested with fuchsin in hexafluorisopropanol (a solvent selected for its low index of refraction and relatively flat dispersion curve) to frequency-triple the output of a neodymium laser 67,68) With an input power of 10 MW/cm2 a third-harmonic output of 0.2 mW/cm2 was measured. This low value was mainly due to the relatively high absorption of fuchsin at 355 nm. An improvement of the efficiency by a factor of 80 was found with hexamethylindocarbocyanine iodide in hexafluorisopropanol because of the much lower absorption of this dye at 355 nm. Since the absorption minimum of this dye is at 383 nm, one could expect an additional efficiency increase by a factor of 70 for a fundamental laser wavelength of 1.15 / 69>. Other cyanine dyes have been used for frequency tripling a fundamental wavelength of 1.89 /mi 70>. 

N. Akozbek, A. Iwasaki, A. Becker, M. Scalora, S. L. Chin, C. M. Bowden, Third-harmonic generation and self-channeling in air using high-power femtosecond laser pulses, Physical Review Letters 89, 143901 (2002)... 

MW/cm2). The solid line is a best fit to the data assuming a cubic dependence of the third harmonic intensity on the fundamental intensity. The constant of proportionality is 4.3 x 10 6. The inset shows the spectral content of the third harmonic intensity showing a resolution limited peak at 355 nm. Using Q-switched, modelocked pulses, we have extended the measurement to peak pump powers in excess of 10 GW/cm2 without damage to the sample. 

Figs. 25.1-25.4 show the cahbrated measure of the interface strain vibration bi and the strain amphtudes of the transmitted waves of fundamental frequency and its second and third harmonic i, 2, and 3 as a function of the incident strain amphtude i. The sohd hues represent a hnear fit of Ebi and 1, a quadratic fit of 2, and a cubic fit of 3 of the first 12 measuring points up to a strain level 1.3x10. The strain amphtudes of the first six measured data points of the third harmonic were below the noise level. The experimentally observed power laws for 1, 2, and 3 render it possible to relate them to an expansion of the stress-strain curve which displays no hysteresis [9]. In this case... 

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