Wave optical modelling of focusing of an ultra short pulse

Veetil, Suhas P.; Schimmel, Hagen; Wyrowski, Frank; Vijayan, C.

doi:10.1080/09500340600812917

Cited by 10 publications

(12 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We have, for example, considered propagation in free space only and therefore assumed a constant, wavelength-independent, refractive index. The different spectral components that make up a pulse, traveling, for example, in an optic fiber, "see" different refractive indices [15,16]. This will change sampling conditions derived here.…”

Section: Resultsmentioning

confidence: 99%

“…By introducing the retarded time, we cancel the effect of the linear phase term on the righthand side of Eq. (1a) [15,16,22]. Using the retarded time is also advantageous from a numerical point of view, since removing the linear phase term can greatly reduce the number of samples required to represent the signal [15,16,22].…”

Section: Theoretical Analysismentioning

confidence: 99%

“…These pulses are in common use in areas such as optical coherence tomography, confocal microscopy, terahertz (THz) generation and detection, and spectroscopy [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. Pulses generated in fs sources tend to have a broad spectrum ͑ϳ20 nm͒ consisting of many different wavelengths and so differ from the approximately monochromatic light produced by most standard lasers.…”

Section: Introductionmentioning

confidence: 99%

“…The diffracted spatial-temporal pulse is then found by performing an inverse Fourier transform (with respect to the temporal frequency) on this spatial-spectral distribution [11,13,14]. In some cases, analytical expressions describing the spatialtemporal distribution exist [13], however, in order to analyze general diffraction problems, it is important to develop complementary numerical techniques [15,16,22]. Since many different spectral components contribute to a pulse's diffraction pattern, a fast numerical technique for calculating the diffraction pattern formed by a single wavelength is clearly important.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Numerical sampling rules for paraxial regime pulse diffraction calculations

et al. 2008

View full text Add to dashboard Cite

Sampling rules for numerically calculating ultrashort pulse fields are discussed. Such pulses are not monochromatic but rather have a finite spectral distribution about some central (temporal) frequency. Accordingly, the diffraction pattern for many spectral components must be considered. From a numerical implementation viewpoint, one may ask how many of these spectral components are needed to accurately calculate the pulse field. Using an analytical expression for the Fresnel diffraction from a 1-D slit, we examine this question by varying the number of contributing spectral components. We show how undersampling the spectral profile produces erroneous numerical artifacts (aliasing) in the spatial-temporal domain. A guideline, based on graphical considerations, is proposed that determines appropriate sampling conditions. We show that there is a relationship between this sampling rule and a diffraction wave that emerges from the aperture edge; comparisons are drawn with boundary diffraction waves. Numerical results for 2-D square and circular apertures are presented and discussed, and a potentially time-saving calculation technique that relates pulse distributions in different z planes is described.

show abstract

Section: Resultsmentioning

confidence: 99%

Section: Theoretical Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Numerical sampling rules for paraxial regime pulse diffraction calculations

et al. 2008

View full text Add to dashboard Cite

show abstract

“…1-3. We note that, using apodization to manipulate the depth of focus was explored decades ago [49] and the effect of apodization of an ultrafast laser pulse remains an interesting research topic [50]. It is also noted that there are other dynamic effects that can lead to changes in the spatiotemporal shape of the pulse at the focus of a dispersive lens [41][42][43].…”

Section: B Experiments Resultsmentioning

confidence: 99%

Laser pulse shaping for generating uniform three-dimensional ellipsoidal electron beams

Chemerisov

Lewellen

2009

Phys. Rev. ST Accel. Beams

View full text Add to dashboard Cite

A scheme of generating a uniform ellipsoidal laser pulse for high-brightness photoinjectors is discussed. The scheme is based on the chromatic aberration of a dispersive lens. Fourier optics simulation reveals the interplay of group velocity delay and dispersion in the scheme, as well as diffractions. Particle tracking simulation shows that the beam generated by such a laser pulse approaches the performance of that by an ideal ellipsoidal laser pulse and represents a significant improvement from the traditionally proposed cylindrical beam geometry. The scheme is tested in an 800-nm, optical proof-of-principle experiment at lower peak power with excellent agreement between the measurement and simulation.

show abstract