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Application of Gaussian pulsed beam decomposition in modeling optical systems with diffraction grating.
J Opt Soc Am A Opt Image Sci Vis. 2020 May 01; 37(5):797-806.JO

Abstract

A diffraction grating is one of the most commonly used components in ultrafast optical systems such as pulse stretchers and compressors. Hence, modeling the temporal dispersion and spatiotemporal distortions associated with the angular dispersion of a diffraction grating is very crucial for wave optical modeling of such systems. In this paper, the Gaussian pulsed beam decomposition (GPBD) method is extended to handle the propagation of ultrashort pulses, with arbitrary spatial and spectral profiles, through complex ultrashort pulse shaping systems containing diffraction gratings. Although the diffraction efficiencies are not rigorously computed, the GPBD method enables modeling of the large angular dispersion of idealized diffraction gratings without running into an impractically large number of spectral samples as in the case of Fourier-transform-based methods. The application of the extended method is demonstrated by performing the wave optical propagation of an ultrashort pulse through a single diffraction grating and then through a Treacy compressor system. By combining the Treacy compressor with the Martinez grating pair stretcher with internal lenses, the pulse shaping through a complete chirped pulse amplification (CPA) setup is modeled. Finally, the effects of using real dispersive lenses in the Martinez stretcher on the output pulse of the CPA setup are presented. For analysis of the output pulses, methods of computing the spatiotemporal and spatio-spectral amplitudes of the output pulse from the phase correct superposition of individual Gaussian pulsed beams are presented.

Authors

No affiliation info availableNo affiliation info available

Pub Type(s)

Journal Article

Language

eng

PubMed ID

32400713

Citation

Worku, Norman G., and Herbert Gross. "Application of Gaussian Pulsed Beam Decomposition in Modeling Optical Systems With Diffraction Grating." Journal of the Optical Society of America. A, Optics, Image Science, and Vision, vol. 37, no. 5, 2020, pp. 797-806.
Worku NG, Gross H. Application of Gaussian pulsed beam decomposition in modeling optical systems with diffraction grating. J Opt Soc Am A Opt Image Sci Vis. 2020;37(5):797-806.
Worku, N. G., & Gross, H. (2020). Application of Gaussian pulsed beam decomposition in modeling optical systems with diffraction grating. Journal of the Optical Society of America. A, Optics, Image Science, and Vision, 37(5), 797-806. https://doi.org/10.1364/JOSAA.390089
Worku NG, Gross H. Application of Gaussian Pulsed Beam Decomposition in Modeling Optical Systems With Diffraction Grating. J Opt Soc Am A Opt Image Sci Vis. 2020 May 1;37(5):797-806. PubMed PMID: 32400713.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - Application of Gaussian pulsed beam decomposition in modeling optical systems with diffraction grating. AU - Worku,Norman G, AU - Gross,Herbert, PY - 2020/5/14/entrez SP - 797 EP - 806 JF - Journal of the Optical Society of America. A, Optics, image science, and vision JO - J Opt Soc Am A Opt Image Sci Vis VL - 37 IS - 5 N2 - A diffraction grating is one of the most commonly used components in ultrafast optical systems such as pulse stretchers and compressors. Hence, modeling the temporal dispersion and spatiotemporal distortions associated with the angular dispersion of a diffraction grating is very crucial for wave optical modeling of such systems. In this paper, the Gaussian pulsed beam decomposition (GPBD) method is extended to handle the propagation of ultrashort pulses, with arbitrary spatial and spectral profiles, through complex ultrashort pulse shaping systems containing diffraction gratings. Although the diffraction efficiencies are not rigorously computed, the GPBD method enables modeling of the large angular dispersion of idealized diffraction gratings without running into an impractically large number of spectral samples as in the case of Fourier-transform-based methods. The application of the extended method is demonstrated by performing the wave optical propagation of an ultrashort pulse through a single diffraction grating and then through a Treacy compressor system. By combining the Treacy compressor with the Martinez grating pair stretcher with internal lenses, the pulse shaping through a complete chirped pulse amplification (CPA) setup is modeled. Finally, the effects of using real dispersive lenses in the Martinez stretcher on the output pulse of the CPA setup are presented. For analysis of the output pulses, methods of computing the spatiotemporal and spatio-spectral amplitudes of the output pulse from the phase correct superposition of individual Gaussian pulsed beams are presented. SN - 1520-8532 UR - https://www.unboundmedicine.com/medline/citation/32400713/Application_of_Gaussian_pulsed_beam_decomposition_in_modeling_optical_systems_with_diffraction_grating DB - PRIME DP - Unbound Medicine ER -
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