K. Wang and M. Wang, “Aero-optics of subsonic turbulent boundary layers,” J. Fluid Mech. 696, 122–151 (2012).

[Crossref]

M. Wang, A. Mani, and S. Gordeyev, “Physics and computation of aero-optics,” Annu. Rev. Fluid Mech. 44(1), 299–321 (2012).

[Crossref]

L. He, S. H. Yi, Y. X. Zhao, L. F. Tian, and Z. Chen, “Experimental study of a supersonic turbulent boundary layer using PIV,” Sci. China Ser. G 54(9), 1702–1709 (2011).

[Crossref]

H. Lin, S. H. Yi, Y. X. Zhao, L. F. Tian, and Z. Chen, “Visualization of coherent structures in a supersonic flat-plate boundary layer,” Chin. Sci. Bull. 56(6), 489–494 (2011).

[Crossref]

G. E. Elsinga, R. J. Adrian, B. W. Van Oudheusden, and F. Scarano, “Three-dimensional vortex organization in a high-Reynolds-number supersonic turbulent boundary layer,” J. Fluid Mech. 644, 35–60 (2010).

[Crossref]

Y. X. Zhao, S. H. Yi, L. F. Tian, and Z. Y. Cheng, “Supersonic flow imaging via nanoparticles,” Sci. China Ser. E 52(12), 3640–3648 (2009).

[Crossref]

L. F. Tian, S. H. Yi, Y. X. Zhao, L. He, and Y. Z. Cheng, “Study of density field measurement based on NPLS technique in supersonic flow,” Sci. China Ser. G 52(9), 1357–1363 (2009).

[Crossref]

Z. S. She and Z. X. Zhang, “Universal hierarchical symmetry for turbulence and general multi-scale fluctuation systems,” Acta Mech. Sin. 25(3), 279–294 (2009).

[Crossref]

A. P. Freeman and H. J. Catrakis, “Direct reduction of aero-optical aberrations by large structure suppression control in turbulence,” AIAA J. 46(10), 2582–2590 (2008).

[Crossref]

M. J. Ringuette, M. Wu, and M. P. Martin, “Coherent structures in direct numerical simulation of turbulent boundary layer at Mach 3,” J. Fluid Mech. 594, 59–69 (2008).

[Crossref]

B. Ganapathisubramani, N. T. Clemens, and D. S. Dolling, “Large-scale motions in a supersonic turbulent boundary layer,” J. Fluid Mech. 556, 271–282 (2006).

[Crossref]

A. Mani, M. Wang, and P. Moin, “Statistical description of the free-space propagation of highly aberrated optical beams,” J. Opt. Soc. Am. A 23(12), 3027–3035 (2006).

[Crossref]
[PubMed]

C. Sun, Q. Zhou, and K. Q. Xia, “Cascades of velocity and temperature fluctuations in buoyancy-driven thermal turbulence,” Phys. Rev. Lett. 97(14), 144504 (2006).

[Crossref]
[PubMed]

E. Tromeur, E. Garnier, and P. Sagaut, “Large eddy simulations of aero-optical effects in a spatially developing turbulent boundary layer,” J. Turbul. 7, N1– N28 (2006).

[Crossref]

B. Davidovitch, M. H. Jensen, A. Levermann, J. Mathiesen, and I. Procaccia, “Thermodynamic formalism of the harmonic measure of diffusion limited aggregates: phase transition,” Phys. Rev. Lett. 87(16), 164101 (2001).

[Crossref]
[PubMed]

E. J. Jumper and E. J. Fitzgerald, “Resent advances in aero-optics,” Prog. Aerosp. Sci. 37(3), 299–339 (2001).

[Crossref]

M. Smith and A. Smits, “Visualization of the structure of supersonic turbulent boundary layers,” Exp. Fluids 18(4), 288–302 (1995).

[Crossref]

Z. S. She and E. Leveque, “Universal scaling laws in fully developed turbulence,” Phys. Rev. Lett. 72(3), 336–339 (1994).

[Crossref]
[PubMed]

R. Benzi, S. Ciliberto, R. Tripiccione, C. Baudet, F. Massaioli, and S. Succi, “Extended self-similarity in turbulent flows,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 48(1), R29–R32 (1993).

[Crossref]
[PubMed]

K. R. Sreenivasan, “Fractals and multifractals in fluid turbulence,” Annu. Rev. Fluid Mech. 23(1), 539–604 (1991).

[Crossref]

R. J. Adrian, “Particle-imaging techniques for experimental fluid mechanics,” Annu. Rev. Fluid Mech. 23(1), 261–304 (1991).

[Crossref]

C. R. Truman and M. J. Lee, “Effects of organized turbulence structures on the phase distortion in a coherent beam propagating through a turbulent shear flow,” Phys. Fluids A 2(5), 851–857 (1990).

[Crossref]

G. W. Sutton, “Aero-optical foundations and applications,” AIAA J. 23(10), 1525–1537 (1985).

[Crossref]

G. E. Elsinga, R. J. Adrian, B. W. Van Oudheusden, and F. Scarano, “Three-dimensional vortex organization in a high-Reynolds-number supersonic turbulent boundary layer,” J. Fluid Mech. 644, 35–60 (2010).

[Crossref]

R. J. Adrian, “Particle-imaging techniques for experimental fluid mechanics,” Annu. Rev. Fluid Mech. 23(1), 261–304 (1991).

[Crossref]

G. Ruiz-Chavarria, C. Baudet, and S. Ciliberto, “Scaling laws and dissipation scales of a passive scalar in fully developed turbulence,” Physica D 99(2-3), 369–380 (1996).

[Crossref]

R. Benzi, S. Ciliberto, R. Tripiccione, C. Baudet, F. Massaioli, and S. Succi, “Extended self-similarity in turbulent flows,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 48(1), R29–R32 (1993).

[Crossref]
[PubMed]

R. Benzi, S. Ciliberto, R. Tripiccione, C. Baudet, F. Massaioli, and S. Succi, “Extended self-similarity in turbulent flows,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 48(1), R29–R32 (1993).

[Crossref]
[PubMed]

A. P. Freeman and H. J. Catrakis, “Direct reduction of aero-optical aberrations by large structure suppression control in turbulence,” AIAA J. 46(10), 2582–2590 (2008).

[Crossref]

H. Lin, S. H. Yi, Y. X. Zhao, L. F. Tian, and Z. Chen, “Visualization of coherent structures in a supersonic flat-plate boundary layer,” Chin. Sci. Bull. 56(6), 489–494 (2011).

[Crossref]

L. He, S. H. Yi, Y. X. Zhao, L. F. Tian, and Z. Chen, “Experimental study of a supersonic turbulent boundary layer using PIV,” Sci. China Ser. G 54(9), 1702–1709 (2011).

[Crossref]

L. F. Tian, S. H. Yi, Y. X. Zhao, L. He, and Y. Z. Cheng, “Study of density field measurement based on NPLS technique in supersonic flow,” Sci. China Ser. G 52(9), 1357–1363 (2009).

[Crossref]

Y. X. Zhao, S. H. Yi, L. F. Tian, and Z. Y. Cheng, “Supersonic flow imaging via nanoparticles,” Sci. China Ser. E 52(12), 3640–3648 (2009).

[Crossref]

G. Ruiz-Chavarria, C. Baudet, and S. Ciliberto, “Scaling laws and dissipation scales of a passive scalar in fully developed turbulence,” Physica D 99(2-3), 369–380 (1996).

[Crossref]

R. Benzi, S. Ciliberto, R. Tripiccione, C. Baudet, F. Massaioli, and S. Succi, “Extended self-similarity in turbulent flows,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 48(1), R29–R32 (1993).

[Crossref]
[PubMed]

B. Ganapathisubramani, N. T. Clemens, and D. S. Dolling, “Large-scale motions in a supersonic turbulent boundary layer,” J. Fluid Mech. 556, 271–282 (2006).

[Crossref]

B. Davidovitch, M. H. Jensen, A. Levermann, J. Mathiesen, and I. Procaccia, “Thermodynamic formalism of the harmonic measure of diffusion limited aggregates: phase transition,” Phys. Rev. Lett. 87(16), 164101 (2001).

[Crossref]
[PubMed]

B. Ganapathisubramani, N. T. Clemens, and D. S. Dolling, “Large-scale motions in a supersonic turbulent boundary layer,” J. Fluid Mech. 556, 271–282 (2006).

[Crossref]

G. E. Elsinga, R. J. Adrian, B. W. Van Oudheusden, and F. Scarano, “Three-dimensional vortex organization in a high-Reynolds-number supersonic turbulent boundary layer,” J. Fluid Mech. 644, 35–60 (2010).

[Crossref]

E. J. Jumper and E. J. Fitzgerald, “Resent advances in aero-optics,” Prog. Aerosp. Sci. 37(3), 299–339 (2001).

[Crossref]

A. P. Freeman and H. J. Catrakis, “Direct reduction of aero-optical aberrations by large structure suppression control in turbulence,” AIAA J. 46(10), 2582–2590 (2008).

[Crossref]

B. Ganapathisubramani, N. T. Clemens, and D. S. Dolling, “Large-scale motions in a supersonic turbulent boundary layer,” J. Fluid Mech. 556, 271–282 (2006).

[Crossref]

Q. Gao, Z. F. Jiang, S. H. Yi, L. He, and Y. X. Zhao, “Structure function of the refractive index of the supersonic turbulent boundary layer,” Submitted.

E. Tromeur, E. Garnier, and P. Sagaut, “Large eddy simulations of aero-optical effects in a spatially developing turbulent boundary layer,” J. Turbul. 7, N1– N28 (2006).

[Crossref]

M. Wang, A. Mani, and S. Gordeyev, “Physics and computation of aero-optics,” Annu. Rev. Fluid Mech. 44(1), 299–321 (2012).

[Crossref]

L. He, S. H. Yi, Y. X. Zhao, L. F. Tian, and Z. Chen, “Experimental study of a supersonic turbulent boundary layer using PIV,” Sci. China Ser. G 54(9), 1702–1709 (2011).

[Crossref]

L. F. Tian, S. H. Yi, Y. X. Zhao, L. He, and Y. Z. Cheng, “Study of density field measurement based on NPLS technique in supersonic flow,” Sci. China Ser. G 52(9), 1357–1363 (2009).

[Crossref]

Q. Gao, Z. F. Jiang, S. H. Yi, L. He, and Y. X. Zhao, “Structure function of the refractive index of the supersonic turbulent boundary layer,” Submitted.

B. Davidovitch, M. H. Jensen, A. Levermann, J. Mathiesen, and I. Procaccia, “Thermodynamic formalism of the harmonic measure of diffusion limited aggregates: phase transition,” Phys. Rev. Lett. 87(16), 164101 (2001).

[Crossref]
[PubMed]

Q. Gao, Z. F. Jiang, S. H. Yi, L. He, and Y. X. Zhao, “Structure function of the refractive index of the supersonic turbulent boundary layer,” Submitted.

C. R. Truman and M. J. Lee, “Effects of organized turbulence structures on the phase distortion in a coherent beam propagating through a turbulent shear flow,” Phys. Fluids A 2(5), 851–857 (1990).

[Crossref]

Z. S. She and E. Leveque, “Universal scaling laws in fully developed turbulence,” Phys. Rev. Lett. 72(3), 336–339 (1994).

[Crossref]
[PubMed]

B. Davidovitch, M. H. Jensen, A. Levermann, J. Mathiesen, and I. Procaccia, “Thermodynamic formalism of the harmonic measure of diffusion limited aggregates: phase transition,” Phys. Rev. Lett. 87(16), 164101 (2001).

[Crossref]
[PubMed]

H. Lin, S. H. Yi, Y. X. Zhao, L. F. Tian, and Z. Chen, “Visualization of coherent structures in a supersonic flat-plate boundary layer,” Chin. Sci. Bull. 56(6), 489–494 (2011).

[Crossref]

M. Wang, A. Mani, and S. Gordeyev, “Physics and computation of aero-optics,” Annu. Rev. Fluid Mech. 44(1), 299–321 (2012).

[Crossref]

A. Mani, M. Wang, and P. Moin, “Statistical description of the free-space propagation of highly aberrated optical beams,” J. Opt. Soc. Am. A 23(12), 3027–3035 (2006).

[Crossref]
[PubMed]

M. J. Ringuette, M. Wu, and M. P. Martin, “Coherent structures in direct numerical simulation of turbulent boundary layer at Mach 3,” J. Fluid Mech. 594, 59–69 (2008).

[Crossref]

R. Benzi, S. Ciliberto, R. Tripiccione, C. Baudet, F. Massaioli, and S. Succi, “Extended self-similarity in turbulent flows,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 48(1), R29–R32 (1993).

[Crossref]
[PubMed]

B. Davidovitch, M. H. Jensen, A. Levermann, J. Mathiesen, and I. Procaccia, “Thermodynamic formalism of the harmonic measure of diffusion limited aggregates: phase transition,” Phys. Rev. Lett. 87(16), 164101 (2001).

[Crossref]
[PubMed]

B. Davidovitch, M. H. Jensen, A. Levermann, J. Mathiesen, and I. Procaccia, “Thermodynamic formalism of the harmonic measure of diffusion limited aggregates: phase transition,” Phys. Rev. Lett. 87(16), 164101 (2001).

[Crossref]
[PubMed]

M. J. Ringuette, M. Wu, and M. P. Martin, “Coherent structures in direct numerical simulation of turbulent boundary layer at Mach 3,” J. Fluid Mech. 594, 59–69 (2008).

[Crossref]

G. Ruiz-Chavarria, C. Baudet, and S. Ciliberto, “Scaling laws and dissipation scales of a passive scalar in fully developed turbulence,” Physica D 99(2-3), 369–380 (1996).

[Crossref]

E. Tromeur, E. Garnier, and P. Sagaut, “Large eddy simulations of aero-optical effects in a spatially developing turbulent boundary layer,” J. Turbul. 7, N1– N28 (2006).

[Crossref]

G. E. Elsinga, R. J. Adrian, B. W. Van Oudheusden, and F. Scarano, “Three-dimensional vortex organization in a high-Reynolds-number supersonic turbulent boundary layer,” J. Fluid Mech. 644, 35–60 (2010).

[Crossref]

Z. S. She and Z. X. Zhang, “Universal hierarchical symmetry for turbulence and general multi-scale fluctuation systems,” Acta Mech. Sin. 25(3), 279–294 (2009).

[Crossref]

Z. S. She and E. Leveque, “Universal scaling laws in fully developed turbulence,” Phys. Rev. Lett. 72(3), 336–339 (1994).

[Crossref]
[PubMed]

K. R. Sreenivasan, “Fractals and multifractals in fluid turbulence,” Annu. Rev. Fluid Mech. 23(1), 539–604 (1991).

[Crossref]

R. Benzi, S. Ciliberto, R. Tripiccione, C. Baudet, F. Massaioli, and S. Succi, “Extended self-similarity in turbulent flows,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 48(1), R29–R32 (1993).

[Crossref]
[PubMed]

C. Sun, Q. Zhou, and K. Q. Xia, “Cascades of velocity and temperature fluctuations in buoyancy-driven thermal turbulence,” Phys. Rev. Lett. 97(14), 144504 (2006).

[Crossref]
[PubMed]

L. He, S. H. Yi, Y. X. Zhao, L. F. Tian, and Z. Chen, “Experimental study of a supersonic turbulent boundary layer using PIV,” Sci. China Ser. G 54(9), 1702–1709 (2011).

[Crossref]

H. Lin, S. H. Yi, Y. X. Zhao, L. F. Tian, and Z. Chen, “Visualization of coherent structures in a supersonic flat-plate boundary layer,” Chin. Sci. Bull. 56(6), 489–494 (2011).

[Crossref]

Y. X. Zhao, S. H. Yi, L. F. Tian, and Z. Y. Cheng, “Supersonic flow imaging via nanoparticles,” Sci. China Ser. E 52(12), 3640–3648 (2009).

[Crossref]

L. F. Tian, S. H. Yi, Y. X. Zhao, L. He, and Y. Z. Cheng, “Study of density field measurement based on NPLS technique in supersonic flow,” Sci. China Ser. G 52(9), 1357–1363 (2009).

[Crossref]

R. Benzi, S. Ciliberto, R. Tripiccione, C. Baudet, F. Massaioli, and S. Succi, “Extended self-similarity in turbulent flows,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 48(1), R29–R32 (1993).

[Crossref]
[PubMed]

E. Tromeur, E. Garnier, and P. Sagaut, “Large eddy simulations of aero-optical effects in a spatially developing turbulent boundary layer,” J. Turbul. 7, N1– N28 (2006).

[Crossref]

C. R. Truman and M. J. Lee, “Effects of organized turbulence structures on the phase distortion in a coherent beam propagating through a turbulent shear flow,” Phys. Fluids A 2(5), 851–857 (1990).

[Crossref]

G. E. Elsinga, R. J. Adrian, B. W. Van Oudheusden, and F. Scarano, “Three-dimensional vortex organization in a high-Reynolds-number supersonic turbulent boundary layer,” J. Fluid Mech. 644, 35–60 (2010).

[Crossref]

K. Wang and M. Wang, “Aero-optics of subsonic turbulent boundary layers,” J. Fluid Mech. 696, 122–151 (2012).

[Crossref]

K. Wang and M. Wang, “Aero-optics of subsonic turbulent boundary layers,” J. Fluid Mech. 696, 122–151 (2012).

[Crossref]

M. Wang, A. Mani, and S. Gordeyev, “Physics and computation of aero-optics,” Annu. Rev. Fluid Mech. 44(1), 299–321 (2012).

[Crossref]

A. Mani, M. Wang, and P. Moin, “Statistical description of the free-space propagation of highly aberrated optical beams,” J. Opt. Soc. Am. A 23(12), 3027–3035 (2006).

[Crossref]
[PubMed]

M. J. Ringuette, M. Wu, and M. P. Martin, “Coherent structures in direct numerical simulation of turbulent boundary layer at Mach 3,” J. Fluid Mech. 594, 59–69 (2008).

[Crossref]

C. Sun, Q. Zhou, and K. Q. Xia, “Cascades of velocity and temperature fluctuations in buoyancy-driven thermal turbulence,” Phys. Rev. Lett. 97(14), 144504 (2006).

[Crossref]
[PubMed]

H. Lin, S. H. Yi, Y. X. Zhao, L. F. Tian, and Z. Chen, “Visualization of coherent structures in a supersonic flat-plate boundary layer,” Chin. Sci. Bull. 56(6), 489–494 (2011).

[Crossref]

L. He, S. H. Yi, Y. X. Zhao, L. F. Tian, and Z. Chen, “Experimental study of a supersonic turbulent boundary layer using PIV,” Sci. China Ser. G 54(9), 1702–1709 (2011).

[Crossref]

L. F. Tian, S. H. Yi, Y. X. Zhao, L. He, and Y. Z. Cheng, “Study of density field measurement based on NPLS technique in supersonic flow,” Sci. China Ser. G 52(9), 1357–1363 (2009).

[Crossref]

Y. X. Zhao, S. H. Yi, L. F. Tian, and Z. Y. Cheng, “Supersonic flow imaging via nanoparticles,” Sci. China Ser. E 52(12), 3640–3648 (2009).

[Crossref]

Q. Gao, Z. F. Jiang, S. H. Yi, L. He, and Y. X. Zhao, “Structure function of the refractive index of the supersonic turbulent boundary layer,” Submitted.

Z. S. She and Z. X. Zhang, “Universal hierarchical symmetry for turbulence and general multi-scale fluctuation systems,” Acta Mech. Sin. 25(3), 279–294 (2009).

[Crossref]

L. He, S. H. Yi, Y. X. Zhao, L. F. Tian, and Z. Chen, “Experimental study of a supersonic turbulent boundary layer using PIV,” Sci. China Ser. G 54(9), 1702–1709 (2011).

[Crossref]

H. Lin, S. H. Yi, Y. X. Zhao, L. F. Tian, and Z. Chen, “Visualization of coherent structures in a supersonic flat-plate boundary layer,” Chin. Sci. Bull. 56(6), 489–494 (2011).

[Crossref]

Y. X. Zhao, S. H. Yi, L. F. Tian, and Z. Y. Cheng, “Supersonic flow imaging via nanoparticles,” Sci. China Ser. E 52(12), 3640–3648 (2009).

[Crossref]

L. F. Tian, S. H. Yi, Y. X. Zhao, L. He, and Y. Z. Cheng, “Study of density field measurement based on NPLS technique in supersonic flow,” Sci. China Ser. G 52(9), 1357–1363 (2009).

[Crossref]

Q. Gao, Z. F. Jiang, S. H. Yi, L. He, and Y. X. Zhao, “Structure function of the refractive index of the supersonic turbulent boundary layer,” Submitted.

C. Sun, Q. Zhou, and K. Q. Xia, “Cascades of velocity and temperature fluctuations in buoyancy-driven thermal turbulence,” Phys. Rev. Lett. 97(14), 144504 (2006).

[Crossref]
[PubMed]

Z. S. She and Z. X. Zhang, “Universal hierarchical symmetry for turbulence and general multi-scale fluctuation systems,” Acta Mech. Sin. 25(3), 279–294 (2009).

[Crossref]

G. W. Sutton, “Aero-optical foundations and applications,” AIAA J. 23(10), 1525–1537 (1985).

[Crossref]

A. P. Freeman and H. J. Catrakis, “Direct reduction of aero-optical aberrations by large structure suppression control in turbulence,” AIAA J. 46(10), 2582–2590 (2008).

[Crossref]

R. J. Adrian, “Particle-imaging techniques for experimental fluid mechanics,” Annu. Rev. Fluid Mech. 23(1), 261–304 (1991).

[Crossref]

K. R. Sreenivasan, “Fractals and multifractals in fluid turbulence,” Annu. Rev. Fluid Mech. 23(1), 539–604 (1991).

[Crossref]

M. Wang, A. Mani, and S. Gordeyev, “Physics and computation of aero-optics,” Annu. Rev. Fluid Mech. 44(1), 299–321 (2012).

[Crossref]

H. Lin, S. H. Yi, Y. X. Zhao, L. F. Tian, and Z. Chen, “Visualization of coherent structures in a supersonic flat-plate boundary layer,” Chin. Sci. Bull. 56(6), 489–494 (2011).

[Crossref]

M. Smith and A. Smits, “Visualization of the structure of supersonic turbulent boundary layers,” Exp. Fluids 18(4), 288–302 (1995).

[Crossref]

K. Wang and M. Wang, “Aero-optics of subsonic turbulent boundary layers,” J. Fluid Mech. 696, 122–151 (2012).

[Crossref]

B. Ganapathisubramani, N. T. Clemens, and D. S. Dolling, “Large-scale motions in a supersonic turbulent boundary layer,” J. Fluid Mech. 556, 271–282 (2006).

[Crossref]

M. J. Ringuette, M. Wu, and M. P. Martin, “Coherent structures in direct numerical simulation of turbulent boundary layer at Mach 3,” J. Fluid Mech. 594, 59–69 (2008).

[Crossref]

G. E. Elsinga, R. J. Adrian, B. W. Van Oudheusden, and F. Scarano, “Three-dimensional vortex organization in a high-Reynolds-number supersonic turbulent boundary layer,” J. Fluid Mech. 644, 35–60 (2010).

[Crossref]

E. Tromeur, E. Garnier, and P. Sagaut, “Large eddy simulations of aero-optical effects in a spatially developing turbulent boundary layer,” J. Turbul. 7, N1– N28 (2006).

[Crossref]

C. R. Truman and M. J. Lee, “Effects of organized turbulence structures on the phase distortion in a coherent beam propagating through a turbulent shear flow,” Phys. Fluids A 2(5), 851–857 (1990).

[Crossref]

R. Benzi, S. Ciliberto, R. Tripiccione, C. Baudet, F. Massaioli, and S. Succi, “Extended self-similarity in turbulent flows,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 48(1), R29–R32 (1993).

[Crossref]
[PubMed]

B. Davidovitch, M. H. Jensen, A. Levermann, J. Mathiesen, and I. Procaccia, “Thermodynamic formalism of the harmonic measure of diffusion limited aggregates: phase transition,” Phys. Rev. Lett. 87(16), 164101 (2001).

[Crossref]
[PubMed]

Z. S. She and E. Leveque, “Universal scaling laws in fully developed turbulence,” Phys. Rev. Lett. 72(3), 336–339 (1994).

[Crossref]
[PubMed]

C. Sun, Q. Zhou, and K. Q. Xia, “Cascades of velocity and temperature fluctuations in buoyancy-driven thermal turbulence,” Phys. Rev. Lett. 97(14), 144504 (2006).

[Crossref]
[PubMed]

G. Ruiz-Chavarria, C. Baudet, and S. Ciliberto, “Scaling laws and dissipation scales of a passive scalar in fully developed turbulence,” Physica D 99(2-3), 369–380 (1996).

[Crossref]

E. J. Jumper and E. J. Fitzgerald, “Resent advances in aero-optics,” Prog. Aerosp. Sci. 37(3), 299–339 (2001).

[Crossref]

Y. X. Zhao, S. H. Yi, L. F. Tian, and Z. Y. Cheng, “Supersonic flow imaging via nanoparticles,” Sci. China Ser. E 52(12), 3640–3648 (2009).

[Crossref]

L. He, S. H. Yi, Y. X. Zhao, L. F. Tian, and Z. Chen, “Experimental study of a supersonic turbulent boundary layer using PIV,” Sci. China Ser. G 54(9), 1702–1709 (2011).

[Crossref]

L. F. Tian, S. H. Yi, Y. X. Zhao, L. He, and Y. Z. Cheng, “Study of density field measurement based on NPLS technique in supersonic flow,” Sci. China Ser. G 52(9), 1357–1363 (2009).

[Crossref]

G. R. Osche, Optical Detection Theory for Laser Applications (Wiley-Interscience, 2002).

K. G. Gilbert and L. J. Otten, eds., Aero-Optical Phenomena (American Institute of Aeronautics and Astronautics, 1982).

A. Smits and J. Dussauge, Turbulent Shear Layers in Supersonic Flow (Springer, 2006).

V. I. Tatarski, Wave Propagation in a Turbulent Medium (McGraw-Hill, 1961).

Q. Gao, Z. F. Jiang, S. H. Yi, L. He, and Y. X. Zhao, “Structure function of the refractive index of the supersonic turbulent boundary layer,” Submitted.

U. Frisch, Turbulence (Cambridge University Press, 1995).

G. Parisi and U. Frisch, “On the singularity structure of fully developed turbulence,” in Proc. of Int. School on Turbulence and Predictability in Geophysical Fluid Dynamics and Climate Dynamics, M. Ghil, R. Benzi, and G. Parisi eds. (Amsterdam, 1985), pp. 84–87.

H. A. Stine and W. Winovitch, “Light diffusion through high-speed turbulent boundary layers,” NACA Res. Mem. A56B21 (NACA, 1956).

S. Gordeyev, E. J. Jumper, T. T. Ng, and A. B. Cain, “Aero-optical characteristics of compressible, subsonic turbulent boundary layer,” AIAA paper 2003–3606 (American Institute of Aeronautics and Astronautics, 2003).

S. Gordeyev, J. A. Cress, and E. J. Jumper, “Aero-optical properties of subsonic, turbulent boundary layers,” Preprint.

S. Gordeyev, E. J. Jumper, and T. E. Hayden, “Aero-optics of supersonic boundary layers,” AIAA paper 2011–1325 (American Institute of Aeronautics and Astronautics, 2011).

C. M. Wyckham and A. J. Smith, “Comparison of aero-optics distortions in hypersonic and transonic, turbulent boundary layers with gas injection,” AIAA paper 2006–3067 (American Institute of Aeronautics and Astronautics, 2006).