Ultrashort-pulse second-harmonic generation I Transform-limited fundamental pulses

Sidick, Erkin; Knoesen, A.; Dienes, A.

doi:10.1364/josab.12.001704

Cited by 85 publications

(36 citation statements)

References 32 publications

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“…We can derive the BSHG efficiency in the plane wave approximation if the following conditions are satisfied: L NES L, L DIS,i L, and L NEL L [30,31]. Under these conditions, one obtains the following solution for the BSHG efficiency (see also [17]):…”

Section: Approximate Solutions For the Bshg Efficiency In The Undeplementioning

confidence: 99%

Theory of backward second-harmonic generation of short laser pulses in periodically and aperiodically poled nonlinear crystals

et al. 2012

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We study numerically and analytically the backward second-harmonic generation in periodically and aperiodically poled nonlinear crystals in the quasiphase-matched regime. In our numerical analysis, we apply the optimum control technique based on the shooting method. Due to the fast and efficient numerical technique, we are able to analyze this frequency-conversion process in detail, taking into account various factors -the pump intensity, group-velocity mismatch and dispersion, linear phase mismatch, and "chirp" of nonlinear grating. Also we derive several approximate solutions for the backward harmonic efficiency employed in the undepleted pump approximation.

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Section: Approximate Solutions For the Bshg Efficiency In The Undeplementioning

confidence: 99%

Theory of backward second-harmonic generation of short laser pulses in periodically and aperiodically poled nonlinear crystals

et al. 2012

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“…The reported attempts to model and simulate pulsed SHG in dispersive second order materials involved 1-D approximations with highorder time derivatives and input depletion ignored (for example, Ref. 3,4) to simplify the analysis.…”

Section: Introductionmentioning

confidence: 99%

A FDTD algorithm for the analysis of short optical pulse second harmonic generation in dispersive media

Alsunaidi

Alhajiri

Masoudi

2009

Micro & Optical Tech Letters

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“…It is clear that the approximation of slowly varying amplitude is not applicable to the description of such processes [2]. Therefore, for the description of the propagation process of a femtosecond laser pulse of a few optical cycles in an anisotropic optical crystal it is necessary to use either numerical methods or some special analytical methods.…”

Section: Introductionmentioning

confidence: 99%

“…It is known that during the propagation of such extremely short pulses in a nonlinear crystal the radiation generation takes place both at difference and at sum frequencies. At the same time the generation of difference frequencies in a medium with second-order nonlinearity is usually used for the generation of a coherent short radiation pulse in the infrared spectrum range [1].It is clear that the approximation of slowly varying amplitude is not applicable to the description of such processes [2]. Therefore, for the description of the propagation process of a femtosecond laser pulse of a few optical cycles in an anisotropic optical crystal it is necessary to use either numerical methods or some special analytical methods.…”

mentioning

confidence: 99%

Femtosecond laser pulse propagation in a uniaxial crystal

Hovhannisyan¹,

Stepanyan²

2003

Journal of Modern Optics

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Abstract.The wave equation describing the vector propagation of a femtosecond laser pulse of a few optical cycles in a uniaxial crystal is solved numerically by the method of unidirectional waves. Propagation of the pulse in the direction normal to the optical axis is studied, taking into account both second-and third-order nonlinearities of the crystal. Conversion efficiency as a function of crystal length, pump intensity and pulse duration is studied. As an example, the propagation of femtosecond laser pulse of ¼ 10 fs duration at l ¼ 810 nm in a LiNbO 3 crystal 12 mm thick is studied numerically. IntroductionRecent progress in the generation of extremely short optical pulses has stimulated the development of propagation theory of optical pulses of a few cycles in crystals. It is known that during the propagation of such extremely short pulses in a nonlinear crystal the radiation generation takes place both at difference and at sum frequencies. At the same time the generation of difference frequencies in a medium with second-order nonlinearity is usually used for the generation of a coherent short radiation pulse in the infrared spectrum range [1].It is clear that the approximation of slowly varying amplitude is not applicable to the description of such processes [2]. Therefore, for the description of the propagation process of a femtosecond laser pulse of a few optical cycles in an anisotropic optical crystal it is necessary to use either numerical methods or some special analytical methods.In particular, in [3] the results of numerical simulation of propagation process of a femtosecond laser pulse with 10 fs duration in a nonlinear potassium dihydrogen phosphate crystal with 100 mm thickness obtained by the numerical integration of the Maxwell vector equation are given. There a comparison of those results with similar data obtained by the slowly varying amplitude (SVA) method is given, and it is shown that the description of the second-harmonic generation process by such short pulses by the SVA method is not correct.So, the correct analytic description of the propagation of femtosecond laser pulse of a few optical cycles in an anisotropic nonlinear optical crystal is a very topical problem.In [4] the analytic description of the propagation of a femtosecond laser pulse of a few optical cycles in a medium with second-order nonlinearity was given on the basis of the method of unidirectional waves (MUW). It has been shown there

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Ultrashort-pulse second-harmonic generation I Transform-limited fundamental pulses

Cited by 85 publications

References 32 publications

Theory of backward second-harmonic generation of short laser pulses in periodically and aperiodically poled nonlinear crystals

Theory of backward second-harmonic generation of short laser pulses in periodically and aperiodically poled nonlinear crystals

A FDTD algorithm for the analysis of short optical pulse second harmonic generation in dispersive media

Femtosecond laser pulse propagation in a uniaxial crystal

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