P. Sprangle, A. Ting, J. Peñano, R. Fischer, and B. Hafizi, “Incoherent combining and atmospheric propagation of high-power fiber lasers for directed-energy applications,” IEEE J. Quantum Electron. 45, 138–148 (2009).

[CrossRef]

J. Peñano, P. Sprangle, A. Ting, R. Fischer, B. Hafizi, and P. Serafim, “Optical quality of high-power laser beams in lenses,” J. Opt. Soc. Am. B 26, 503–510 (2009).

[CrossRef]

S. R. Nersisyan, N. V. Tabiryan, and C. M. Stickley, “Characterization of glass and high-power near-infrared CW laser beams using nonlinear optical techniques,” Opt. Eng. 45, 104301 (2006).

[CrossRef]

A. Nakayama and H. Koyama, “An integral method for free convection from a vertical heated surface in a thermally stratified porous medium,” Wärme-Stoffübertrag 21, 297–300 (1987).

[CrossRef]

R. B. Bird, W. E. Stewart, and E. N. Lightfoot, “Use of the equations of change to solve steady-state problems” in Transport Phenomena (Wiley, 2002).

Y. Çengel and R. H. Turner, “Equation of motion and the Grashof number,” Fundamentals of Thermal-Fluid Sciences (McGraw-Hill, 2005).

P. Sprangle, A. Ting, J. Peñano, R. Fischer, and B. Hafizi, “Incoherent combining and atmospheric propagation of high-power fiber lasers for directed-energy applications,” IEEE J. Quantum Electron. 45, 138–148 (2009).

[CrossRef]

J. Peñano, P. Sprangle, A. Ting, R. Fischer, B. Hafizi, and P. Serafim, “Optical quality of high-power laser beams in lenses,” J. Opt. Soc. Am. B 26, 503–510 (2009).

[CrossRef]

J. Peñano, P. Sprangle, A. Ting, R. Fischer, B. Hafizi, and P. Serafim, “Optical quality of high-power laser beams in lenses,” J. Opt. Soc. Am. B 26, 503–510 (2009).

[CrossRef]

P. Sprangle, A. Ting, J. Peñano, R. Fischer, and B. Hafizi, “Incoherent combining and atmospheric propagation of high-power fiber lasers for directed-energy applications,” IEEE J. Quantum Electron. 45, 138–148 (2009).

[CrossRef]

A. Nakayama and H. Koyama, “An integral method for free convection from a vertical heated surface in a thermally stratified porous medium,” Wärme-Stoffübertrag 21, 297–300 (1987).

[CrossRef]

L. D. Landau and E. M. Lifshitz, “The general equation of heat transfer,” in Fluid Mechanics (Pergamon, 1975).

L. D. Landau and E. M. Lifshitz, “Free convection,” in Fluid Mechanics (Pergamon, 1975).

L. D. Landau and E. M. Lifshitz, “Thermal conduction in an incompressible fluid,” in Fluid Mechanics (Pergamon, 1975).

L. D. Landau and E. M. Lifshitz, “Thermal conduction in an incompressible fluid,” in Fluid Mechanics (Pergamon, 1975).

L. D. Landau and E. M. Lifshitz, “Free convection,” in Fluid Mechanics (Pergamon, 1975).

L. D. Landau and E. M. Lifshitz, “The general equation of heat transfer,” in Fluid Mechanics (Pergamon, 1975).

R. B. Bird, W. E. Stewart, and E. N. Lightfoot, “Use of the equations of change to solve steady-state problems” in Transport Phenomena (Wiley, 2002).

A. Nakayama and H. Koyama, “An integral method for free convection from a vertical heated surface in a thermally stratified porous medium,” Wärme-Stoffübertrag 21, 297–300 (1987).

[CrossRef]

S. R. Nersisyan, N. V. Tabiryan, and C. M. Stickley, “Characterization of glass and high-power near-infrared CW laser beams using nonlinear optical techniques,” Opt. Eng. 45, 104301 (2006).

[CrossRef]

S. Ostrach, “An analysis of laminar free-convection flow and heat transfer about a flat plate parallel to the direction of the generating body force,” National Advisory Committee for Aeronautics Report Number 1111 (1953).

J. Peñano, P. Sprangle, A. Ting, R. Fischer, B. Hafizi, and P. Serafim, “Optical quality of high-power laser beams in lenses,” J. Opt. Soc. Am. B 26, 503–510 (2009).

[CrossRef]

P. Sprangle, A. Ting, J. Peñano, R. Fischer, and B. Hafizi, “Incoherent combining and atmospheric propagation of high-power fiber lasers for directed-energy applications,” IEEE J. Quantum Electron. 45, 138–148 (2009).

[CrossRef]

J. Peñano, P. Sprangle, A. Ting, R. Fischer, B. Hafizi, and P. Serafim, “Optical quality of high-power laser beams in lenses,” J. Opt. Soc. Am. B 26, 503–510 (2009).

[CrossRef]

P. Sprangle, A. Ting, J. Peñano, R. Fischer, and B. Hafizi, “Incoherent combining and atmospheric propagation of high-power fiber lasers for directed-energy applications,” IEEE J. Quantum Electron. 45, 138–148 (2009).

[CrossRef]

R. B. Bird, W. E. Stewart, and E. N. Lightfoot, “Use of the equations of change to solve steady-state problems” in Transport Phenomena (Wiley, 2002).

S. R. Nersisyan, N. V. Tabiryan, and C. M. Stickley, “Characterization of glass and high-power near-infrared CW laser beams using nonlinear optical techniques,” Opt. Eng. 45, 104301 (2006).

[CrossRef]

S. R. Nersisyan, N. V. Tabiryan, and C. M. Stickley, “Characterization of glass and high-power near-infrared CW laser beams using nonlinear optical techniques,” Opt. Eng. 45, 104301 (2006).

[CrossRef]

J. Peñano, P. Sprangle, A. Ting, R. Fischer, B. Hafizi, and P. Serafim, “Optical quality of high-power laser beams in lenses,” J. Opt. Soc. Am. B 26, 503–510 (2009).

[CrossRef]

P. Sprangle, A. Ting, J. Peñano, R. Fischer, and B. Hafizi, “Incoherent combining and atmospheric propagation of high-power fiber lasers for directed-energy applications,” IEEE J. Quantum Electron. 45, 138–148 (2009).

[CrossRef]

Y. Çengel and R. H. Turner, “Equation of motion and the Grashof number,” Fundamentals of Thermal-Fluid Sciences (McGraw-Hill, 2005).

P. Sprangle, A. Ting, J. Peñano, R. Fischer, and B. Hafizi, “Incoherent combining and atmospheric propagation of high-power fiber lasers for directed-energy applications,” IEEE J. Quantum Electron. 45, 138–148 (2009).

[CrossRef]

S. R. Nersisyan, N. V. Tabiryan, and C. M. Stickley, “Characterization of glass and high-power near-infrared CW laser beams using nonlinear optical techniques,” Opt. Eng. 45, 104301 (2006).

[CrossRef]

A. Nakayama and H. Koyama, “An integral method for free convection from a vertical heated surface in a thermally stratified porous medium,” Wärme-Stoffübertrag 21, 297–300 (1987).

[CrossRef]

R. B. Bird, W. E. Stewart, and E. N. Lightfoot, “Use of the equations of change to solve steady-state problems” in Transport Phenomena (Wiley, 2002).

Y. Çengel and R. H. Turner, “Equation of motion and the Grashof number,” Fundamentals of Thermal-Fluid Sciences (McGraw-Hill, 2005).

S. Ostrach, “An analysis of laminar free-convection flow and heat transfer about a flat plate parallel to the direction of the generating body force,” National Advisory Committee for Aeronautics Report Number 1111 (1953).

L. D. Landau and E. M. Lifshitz, “Thermal conduction in an incompressible fluid,” in Fluid Mechanics (Pergamon, 1975).

L. D. Landau and E. M. Lifshitz, “The general equation of heat transfer,” in Fluid Mechanics (Pergamon, 1975).

L. D. Landau and E. M. Lifshitz, “Free convection,” in Fluid Mechanics (Pergamon, 1975).