Optimum conditions for nonresonant third harmonic generation

Puell, H.; Vidal, C. R.

doi:10.1109/jqe.1978.1069790

Cited by 31 publications

(10 citation statements)

References 21 publications

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“…A comparison of third-harmonic generation with cascading secondorder processes was used to derive x (3) ( -co 3 ; co v co v co x ) values for liquids and solids [4,5], In mixtures of substances with normal and anomalous dispersion optimum third-harmonic conditions were achieved [6][7][8][9][10] and nonlinear susceptibility values could be obtained.…”

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confidence: 99%

Measurement of third-order nonlinear susceptibilities by non-phase matched third-harmonic generation

Thalhammer

Penzkofer

1983

Appl. Phys. B

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liquids, solids and air are determined by third-harmonic generation. The samples are placed behind the focal region of a laser beam in an evacuated environment to avoid third-harmonic generation of the surroundings. For fluid media the sample cell is made out of two thin fused quartz plates and oriented to an angle of zero net third-harmonic production in each window (minimum Maker fringe position). PACS: 42.65The measurement of third-order nonlinear susceptibilities x (3) ( -co 3 ; co v co v coJ responsible for thirdharmonic generation is aggravated by disturbing light production in surrounding media (sample cell, air). Avoiding the influence of the surrounding substances in the light path by tight focussing (sample length longer than confocal parameter) results in zero thirdharmonic generation under phase-matched condition and for positive phase-mismatch Ak = k 3 -3k x >0 (normal dispersive media). Only in anomalous dispersive matter light generation at frequency co 3 occurs [1,2]. In a collimated pump beam (frequency coj the third-harmonic light is periodically generated and annihilated for Ak + 0 and efficient light generation requires Ak = 0. Circularly polarized laser light does not generate third-harmonic light in transparent media at all [6].Third-order nonlinear susceptibility values # (3) ( -co 3 ; co v co 1 ,co 1 )of gases were obtained by putting a gas cell with its entrance window (absorbing at co 3 ) in the focal plane of a laser [1], The susceptibilities of some solids were measured in reflection [3]. A comparison of third-harmonic generation with cascading secondorder processes was used to derive x In this paper we report on an accurate method to determine the third-order nonlinear susceptibilities X (3) ( -co 3 ; co v co v co t ) of solids, liquids and gases. Third-harmonic generation in a slightly diverging beam (thin sample behind focal plane of a lens) is studied. Third-harmonic generation in air along the path of the laser beam is avoided by putting the sample into a vacuum chamber. The entrance and exit windows of the sample cell for liquids and gases are made out of thin plane fused silica plates (thickness: «0.2 mm). By tilting the cell to a Maker fringe minimum position for each window [11] no thirdharmonic light is produced in each of the windows. The cell is slightly wedged in order to record a Maker fringe curve when the filled cell is laterally shifted relative to the light path.

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confidence: 99%

Measurement of third-order nonlinear susceptibilities by non-phase matched third-harmonic generation

Thalhammer

Penzkofer

1983

Appl. Phys. B

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“…While similar equations have been derived before and particular solutions have been found [2], the soliton solutions derived below are new. The parameter b depends only on the waveguide geometry (through the overlap integrals), whereas a depends on the power P 0 , the detuning δβ, and the geometry of the waveguide.…”

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confidence: 63%

“…The theory of third harmonic generation (THG) was developed by Armstrong et al [1] and extended in [2], where the analytical solutions and efficiency of THG were discussed. The main characteristic of THG in bulk materials, as for most third-order nonlinear effects, is that the strength of different nonlinear terms is determined by χ 3 coefficients, which are fixed for a bulk material.…”

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confidence: 99%

“…The periodic solutions are given in terms of elliptic functions [2,11] and depend on the values of a, b, and H 0 . However, the behavior of the solutions as a function of a and b is complex, and hence no insight can be gained on how the a; b parameters relate to the maximum efficiency of either THG or OTHG.…”

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confidence: 99%

“…However, the behavior of the solutions as a function of a and b is complex, and hence no insight can be gained on how the a; b parameters relate to the maximum efficiency of either THG or OTHG. Previous studies have only identified the condition a b 0 for maximum THG efficiency [2] in bulk media, where the parameters a; b are functions of the power and χ 3 coefficients of the medium. Here, a; b are also functions of the structure of the waveguides.…”

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confidence: 99%

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Efficient third and one-third harmonic generation in nonlinear waveguides

et al. 2013

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We investigate the interaction between fundamental and third harmonic fields in a nonlinear waveguide. We develop a method for evaluating the maximum efficiency of third harmonic (upconversion) and one-third harmonic (downconversion) generation by considering the solitonic behavior of the interaction. This method can be used to engineer waveguide parameters and identify the input power that enables maximum conversion efficiency to be achieved.

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