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Numerical investigation of the influence of wavefront distortion on the laser near-field characteristics

  • S. Li (a1) (a2), Z. Lu (a2), X. Fan (a3) and L. Ding (a4)


The effect of the initial phase distortion of the laser on near-field transmission characteristics in free space is investigated both numerically and theoretically. It is demonstrated and proposed that the near-field modulation and fluence contrast of the output laser beam are changing with the increase of both spatial low- and high-frequency wavefront distortion. The simulation results show that in order to ensure the beam quality in propagation, the Fresnel number should be controlled not <50 generally and the wavefront distortion should also be minimized by controlling both low- and high-frequency phase coefficient not larger than 0.6.


Corresponding author

Address correspondence and reprint requests to: S. Li, Science and Technology on Electro-Optical Information Security Control Laboratory, Tianjin 300308, China. E-mail:


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Bahk, S.-W., Begishev, I. & Zuegel, J. (2014). Precompensation of gain nonuniformity in a Nd: glass amplifier using a programmable beam-shaping system. Opt. Commun. 333, 4552.
Bahk, S.-W., Zuegel, J.D., Fienup, J.R., Widmayer, C.C. & Heebner, J. (2008). Spot-shadowing optimization to mitigate damage growth in a high-energy-laser amplifier chain. Appl. Opt. 47, 65866593.
Bai, Y., Zhang, L., Liao, W., Zhou, H., Zhang, C., Chen, J., Ye, Y., Jiang, Y., Wang, H., Luan, X., Yuan, X. & Zheng, W. (2016a). Study of downstream light intensity modulation induced by mitigated damage pits of fused silica using numerical simulation and experimental measurements. Acta Phys. Sin. 65, 024205.
Bai, Z., Wang, Y., Lu, Z., Yuan, H., Zheng, Z., Li, S., Chen, Y., Liu, Z., Cui, C., Wang, H. & Liu, R. (2016b). High compact, high quality single longitudinal mode hundred picoseconds laser based on stimulated Brillouin scattering pulse compression. Appl. Sci. 6, 29.
Barczys, M., Bahk, S.-W., Spilatro, M., Coppenbarger, D., Hill, E., Hinterman, T., Kidder, R., Puth, J., Touris, T. & Zuegel, J. (2013). Deployment of a spatial light modulator-based beam-shaping system on the OMEGA EP laser. Conference Deployment of A Spatial Light Modulator-Based Beam-Shaping System on the OMEGA EP laser, International Society for Optics and Photonics, pp. 86020F.
Beck, R.J., Parry, J.P., MacPherson, W.N., Waddie, A., Weston, N.J., Shephard, J.D. & Hand, D.P. (2010). Application of cooled spatial light modulator for high power nanosecond laser micromachining. Opt. Express 18, 1705917065.
Chen, X., Li, X., Chen, Z., Pu, J., Zhang, G. & Zhu, J. (2013). Propagation characteristics of a high-power broadband laser beam passing through a nonlinear optical medium with defects. High Power Laser Sci. Eng. 1, 132137.
Divoky, M., Sikocinski, P., Pilar, J., Lucianetti, A., Sawicka, M., Slezak, O. & Mocek, T. (2013). Design of high-energy-class cryogenically cooled Yb3+:YAG multislab laser system with low wavefront distortion. Opt. Eng. 52, 064201.
Divoky, M., Smrz, M., Chyla, M., Sikocinski, P., Severova, P., Novak, O., Huynh, J., Nagisetty, S., Miura, T. & Pilař, J. (2014). Overview of the HiLASE project: high average power pulsed DPSSL systems for research and industry. High Power Laser Sci. Eng. 2, e14.
Dorrer, C. & Zuegel, J. (2007a). Optical testing using the transport-of-intensity equation. Opt. Express 15, 71657175.
Dorrer, C. & Zuegel, J.D. (2007b). Characterization of high-frequency surface modulation using the transport-of-intensity equation. Conference Characterization of High-Frequency Surface Modulation Using the Transport-of-Intensity Equation. Optical Society of America, pp. CTuT6.
Edwards, C.B. & Danson, C.N. (2015). Inertial confinement fusion and prospects for power production. High Power Laser Sci. Eng. 3, e4.
Elder, I. (2010). Performance requirements for countermeasures lasers. Conference Performance Requirements for Countermeasures Lasers. International Society for Optics and Photonics, pp. 783605.
Ertel, K., Hooker, C., Hawkes, S.J., Parry, B.T. & Collier, J.L. (2008). ASE suppression in a high energy titanium sapphire amplifier. Opt. Express 16, 80398049.
Eyyuboğlu, H.T., Arpali, Ç. & Baykal, Y. (2006). Flat topped beams and their characteristics in turbulent media. Opt. Express 14, 41964207.
Fan, X., Lu, Z., Lin, D., Yang, F., Liu, Y., Dong, Y., Zhu, C. & Hasi, W. (2013). Numerical investigation of the effects of smoothing by spectral dispersion on stimulated rotational Raman scattering. Laser Part. Beams 31, 171175.
Fu, F. & Zhang, B. (2012). The influence of high-frequency phase and correction distance on the phase correction effect. J. Mod. Opt. 59, 402407.
Grant, S.D. & Abdolvand, A. (2014). Evolution of conically diffracted Gaussian beams in free space. Opt. Express 22, 38803886.
Guardalben, M. & Waxer, L. (2011). Improvements to long-pulse system performance and operational efficiency on OMEGA EP. Conference Improvements to Long-pulse System Performance and Operational Efficiency on OMEGA EP. International Society for Optics and Photonics, pp. 79160G.
Haynam, C., Wegner, P., Auerbach, J., Bowers, M., Dixit, S., Erbert, G., Heestand, G., Henesian, M., Hermann, M. & Jancaitis, K. (2007). National Ignition Facility laser performance status. Appl. Opt. 46, 32763303.
Hongjie, L., Jin, H., Fengrui, W., Xinda, Z., Xin, Y., Xiaoyan, Z., Laixi, S., Xiaodong, J., Zhan, S. & Wanguo, Z. (2013). Subsurface defects of fused silica optics and laser induced damage at 351 nm. Opt. Express 21, 1220412217.
Li, S., Wang, Y., Lu, Z., Ding, L., Chen, Y., Du, P., Ba, D., Zheng, Z., Wang, X., Yuan, H., Zhu, C., He, W., Lin, D., Dong, Y., Zhou, D., Bai, Z., Liu, Z. & Cui, C. (2016a). Hundred-Joule-level, nanosecond-pulse Nd: glass laser system with high spatiotemporal beam quality. High Power Laser Sci. Eng. 4, e10.
Li, S., Wang, Y., Lu, Z., Ding, L., Cui, C., Chen, Y., Pengyuan, D., Ba, D., Zheng, Z., Yuan, H., Shi, L., Bai, Z., Liu, Z., Zhu, C., Dong, Y. & Zhou, L. (2016b). Spatial beam shaping for high-power frequency tripling lasers based on a liquid crystal spatial light modulator. Opt. Commun. 367, 181185.
Li, S., Wang, Y., Lu, Z., Ding, L., Du, P., Chen, Y., Zheng, Z., Ba, D., Dong, Y. & Yuan, H. (2015). High-quality near-field beam achieved in a high-power laser based on SLM adaptive beam-shaping system. Opt. Express 23, 681689.
Li, S., Zhou, L., Cui, C., Wang, K., Yan, X., Wang, Y., Ding, L., Wang, Y. & Lu, Z. (2017). Wavefront shaping by a small-aperture deformable mirror in the front stage for high-power laser systems. Appl. Sci. 7, 379.
Liao, Z.M., Raymond, B., Gaylord, J., Fallejo, R., Bude, J. & Wegner, P. (2014). Damage modeling and statistical analysis of optics damage performance in MJ-class laser systems. Opt. Express 22, 2884528856.
Lu, B. & Luo, S. (2000). General propagation equation of flattened Gaussian beams. J. Opt. Soc. Am. A 17, 20012004.
Mainguy, S., Tovena-Pecault, I. & Le Garrec, B. (2005). Propagation of LIL/LMJ beams under the interaction with contamination particles. Conf. Propagation of LIL/LMJ Beams under the Interaction with Contamination Particles. International Society for Optics and Photonics, pp. 5991.
Manes, K.R. & Simmons, W.W. (1985). Statistical optics applied to high-power glass lasers. J. Opt. Soc. Am. A 2, 528538.
Morice, O. (2003). Miró: complete modeling and software for pulse amplification and propagation in high-power laser systems. Opt. Eng. 42, 15301541.
Moses, E.I. (2009). Ignition on the National Ignition Facility: a path towards inertial fusion energy. Nucl. Fusion 49, 104022.
Norman, M.J., Andrew, J.E., Bett, T.H., Clifford, R.K., England, J.E., Hopps, N.W., Parker, K.W., Porter, K. & Stevenson, M. (2002). Multipass reconfiguration of the HELEN Nd: glass laser at the Atomic Weapons Establishment. Appl. Opt. 41, 34973505.
Nostrand, M.C., Weiland, T.L., Luthi, R.L., Vickers, J.L., Sell, W.D., Stanley, J.A., Honig, J., Auerbach, J., Hackel, R.P. & Wegner, P.J. (2004). A large-aperture high-energy laser system for optics and optical component testing. Conference A Large-Aperture High-Energy Laser System for Optics and Optical Component Testing. International Society for Optics and Photonics, pp. 325–333.
Obenschain, S., Lehmberg, R., Kehne, D., Hegeler, F., Wolford, M., Sethian, J., Weaver, J. & Karasik, M. (2015). High-energy krypton fluoride lasers for inertial fusion. Appl. Opt. 54, F103F122.
Pilar, J., Slezak, O., Sikocinski, P., Divoky, M., Sawicka, M., Bonora, S., Lucianetti, A., Mocek, T. & Jelinkova, H. (2014). Design and optimization of an adaptive optics system for a high-average-power multi-slab laser (HiLASE) Appl. Opt. 53, 32553261.
Remo, J.L. & Adams, R.G. (2008). High energy density laser interactions with planetary and astrophysical materials: methodology and data. Conference High Energy Density Laser Interactions with Planetary and Astrophysical Materials: Methodology and Data. International Society for Optics and Photonics, pp. 70052M.
Runkel, M., Hawley-Fedder, R., Widmayer, C., Williams, W., Weinzapfel, C. & Roberts, D. (2005). A system for measuring defect induced beam modulation on inertial confinement fusion-class laser optics. Conference A System for Measuring Defect Induced Beam Modulation on Inertial Confinement Fusion-Class Laser Optics. International Society for Optics and Photonics, pp. 59912H.
Semak, V. & Shneider, M. (2015). Electromagnetic beam propagation in nonlinear media. High Power Laser Sci. Eng. 3, e11.
Simmons, W., Hunt, J. & Warren, W. (1981). Light propagation through large laser systems. IEEE J. Quantum Electron. 17, 17271744.
Speck, D., Bliss, E., Glaze, J., Herris, J., Holloway, F., Hunt, J., Johnson, B., Kuizenga, D., Ozarski, R. & Patton, H. (1981). The Shiva laser-fusion facility. IEEE J. Quantum Electron. 17, 15991619.
Sprangle, P. & Hafizi, B. (2014). High-power, high-intensity laser propagation and interactions a. Phys. Plasmas 21, 055402.
Teich, M.C. & Saleh, B. (1991). Fundamentals of Photonics. Canada: Wiley Interscience 3.
Van Wonterghem, B.M., Burkhart, S.C., Haynam, C.A., Manes, K.R., Marshall, C.D., Murray, J.E., Spaeth, M.L., Speck, D.R., Sutton, S.B. & Wegner, P.J. (2004). National Ignition Facility commissioning and performance. Conference National Ignition Facility Commissioning and Performance. International Society for Optics and Photonics, pp. 55–65.
Van Wonterghem, B.M., Murray, J.R., Campbell, J.H., Speck, D.R., Barker, C.E., Smith, I.C., Browning, D.F. & Behrendt, W.C. (1997). Performance of a prototype for a large-aperture multipass Nd: glass laser for inertial confinement fusion. Appl. Opt. 36, 49324953.
Wilfert, O., Komrska, J., Poliak, J. & Kolka, Z. (2011). Influence of optical elements on the laser beam profile. Conference Influence of Optical Elements on the Laser Beam Profile. International Society for Optics and Photonics, pp. 81620V.
Williams, W., Auerbach, J., Hunt, J., Lawson, L., Manes, K., Orth, C., Sacks, R., Trenholme, J. & Wegner, P. (1997). NIF Optics Phase Gradient Specification. CA, USA: United States: Lawrence Livermore National Lab.
Williams, W.H., Auerbach, J.M., Henesian, M.A., Lawson, J.K., Hunt, J.T., Sacks, R.A. & Widmayer, C.C. (1998). Modeling characterization of the National Ignition Facility focal spot. Conference Modeling Characterization of the National Ignition Facility Focal Spot. International Society for Optics and Photonics, pp. 93–104.
Yu, M., Hu, G., An, N., Qian, F., Wu, Y., Zhang, X., Gu, Y., Wang, Q. & Zheng, J. (2016). Hard x-ray transmission curved crystal spectrometers (10–100 keV) for laser fusion experiments at the ShenGuang-III laser facility. High Power Laser Sci. Eng. 4, e2.
Zhang, X., Zheng, W., Wei, X., Jing, F., Sui, Z., Zheng, K., Xu, Q., Yuan, X., Jiang, X. & Yang, L. (2008). The TIL commissioning and performance. Conference the TIL Commissioning and Performance, IOP Publishing, pp. 032008.



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