Y. Uehara, T. Ree, and F. H. Ree, "Radial distribution function for hard disks from the BGY2 theory," J. Chem. Phys. 70, 1876–1883 (1979); J. Woodhead-Galloway and P. A. Machin, "X-ray scattering from a gas of uniform hard-disks using the Percus–Yevick approximation," Mol. Phys. 32, 41–48 (1976); F. Lado, "Equation of state for the hard-disk fluid from approximate integral equations," J. Chem. Phys. 49, 3092–3096 (1968).

V. Twersky, "Coherent electromagnetic waves in pair-correlated random distributions of aligned scatterers," J. Math. Phys. 19, 215–230 1978).

V. Twersky, "Coherent scalar field in pair-correlated random distributions of aligned scatterers," J. Math. Phys. 18,2468–2486 (1977).

B. Larsen, J. C. Rasaiah, and G. Stell, "Thermodynamic perturbatio theory for multipolar and ionic liquids," Mol. Phys. 33, 987–1027 (1977).

G. Stell and K. C. Wu, "Padé approximant for the internal energy of a system of charged particles," J. Chem. Phys. 63, 491–498 (1975).

H. D. Jones, "Method for finding the equation of state of liquid metals," J. Chem. Phys. 55, 2640–2642 (1971).

C. I. Beard, T. H. Kays, and V. Twersky, "Scattering by random distributions of spheres versus concentration," IEEE Trans. Antennas Propag. AP-1S, 99–118 (1967); S. W. Hawley, T. H. Kays, and V. Twersky, "Comparison of distribution functions from scattering data on different sets of spheres," IEEE Trans. Antennas Propag. AP-15, 118–135 (1967).

M. S. Wertheim, "Exact solution of the Percus-Yevick integral equation for hard spheres," Phys. Rev. Lett. 10, 321–323 (1963); E. Thiele, "Equation of state for hard spheres," J. Chem. Phys. 39, 474–479 (1963).

H. Reiss, H. L. Frisch, and J. L. Lebowitz, "Statistical mechanics of rigid spheres," J. Chem. Phys. 31, 369–380 (1959); E. Helfand, H. L. Frisch, and J. L. Lebowitz, "The theory of the two- and one-dimensional rigid sphere fluids," J. Chem. Phys. 34, 1037–1042 (1961).

B. R. A. Nijboer and L. Van Hove, "Radial distribution function of a gas of hard spheres and the superposition approximation," Phys. Rev. 85, 777–783 (1952).

G. Placzek, B. R. A. Nijboer, and L. Van Hove, "Effects of short wavelength interference on neutron scattering by dense systems of heavy nuclei," Phys. Rev. 82, 392–403 (1951).

L. L. Foldy, "The multiple scattering of waves," Phys. Rev. 67, 107–119 (1945).

F. Reiche, "Zur Theorie der Dispersion in Gasen und Dampfen," Ann. Phys. 50, 1–121 (1916).

Lord Rayleigh, "On the transmission of light through the atmosphere containing small particles in suspension, and on the origin of the color of the sky," Philos. Mag. 47, 375–383 (1899).

C. I. Beard, T. H. Kays, and V. Twersky, "Scattering by random distributions of spheres versus concentration," IEEE Trans. Antennas Propag. AP-1S, 99–118 (1967); S. W. Hawley, T. H. Kays, and V. Twersky, "Comparison of distribution functions from scattering data on different sets of spheres," IEEE Trans. Antennas Propag. AP-15, 118–135 (1967).

G. J. Throop and R. J. Bearman, "Numerical solution of the Percus–Yevick equation for the hard-sphere potential," J. Chem. Phys. 42, 2408–2411 (1965); F. Mandel, R. J. Bearman, and M. Y. Bearman, "Numerical solution of the Percus–Yevick equation for the Lennard–Jones (6-12) and hard sphere potentials," J. Chem. Phys. 52, 3315–3323 (1970); D. Levesque, J. J. Weis, and J. P. Hansen, "Simulation of classical fluids," in Monte Carlo Methods in Statistical Physics (Springer-Verlag, New York, 1979), pp. 121–144.

L. L. Foldy, "The multiple scattering of waves," Phys. Rev. 67, 107–119 (1945).

H. Reiss, H. L. Frisch, and J. L. Lebowitz, "Statistical mechanics of rigid spheres," J. Chem. Phys. 31, 369–380 (1959); E. Helfand, H. L. Frisch, and J. L. Lebowitz, "The theory of the two- and one-dimensional rigid sphere fluids," J. Chem. Phys. 34, 1037–1042 (1961).

H. L. Frisch and J. L. Lebowitz, The Equilibrium Theory of Fluids (Benjamin, New York, 1964); R. J. Baxter, "Distribution functions," in Physical Chemistry, H. Eyring, D. Henderson, and W. Jost, eds. (Academic, New York, 1971), Vol. VIII A, Chap. 4, pp. 267–334.

H. D. Jones, "Method for finding the equation of state of liquid metals," J. Chem. Phys. 55, 2640–2642 (1971).

C. I. Beard, T. H. Kays, and V. Twersky, "Scattering by random distributions of spheres versus concentration," IEEE Trans. Antennas Propag. AP-1S, 99–118 (1967); S. W. Hawley, T. H. Kays, and V. Twersky, "Comparison of distribution functions from scattering data on different sets of spheres," IEEE Trans. Antennas Propag. AP-15, 118–135 (1967).

B. Larsen, J. C. Rasaiah, and G. Stell, "Thermodynamic perturbatio theory for multipolar and ionic liquids," Mol. Phys. 33, 987–1027 (1977).

M. Lax, "Multiple scattering of waves," Rev. Mod. Phys. 23, 287–310 (1951); "The effective field in dense systems," Phys. Rev. 88, 621–629 (1952).

H. Reiss, H. L. Frisch, and J. L. Lebowitz, "Statistical mechanics of rigid spheres," J. Chem. Phys. 31, 369–380 (1959); E. Helfand, H. L. Frisch, and J. L. Lebowitz, "The theory of the two- and one-dimensional rigid sphere fluids," J. Chem. Phys. 34, 1037–1042 (1961).

H. L. Frisch and J. L. Lebowitz, The Equilibrium Theory of Fluids (Benjamin, New York, 1964); R. J. Baxter, "Distribution functions," in Physical Chemistry, H. Eyring, D. Henderson, and W. Jost, eds. (Academic, New York, 1971), Vol. VIII A, Chap. 4, pp. 267–334.

B. R. A. Nijboer and L. Van Hove, "Radial distribution function of a gas of hard spheres and the superposition approximation," Phys. Rev. 85, 777–783 (1952).

G. Placzek, B. R. A. Nijboer, and L. Van Hove, "Effects of short wavelength interference on neutron scattering by dense systems of heavy nuclei," Phys. Rev. 82, 392–403 (1951).

G. Placzek, B. R. A. Nijboer, and L. Van Hove, "Effects of short wavelength interference on neutron scattering by dense systems of heavy nuclei," Phys. Rev. 82, 392–403 (1951).

B. Larsen, J. C. Rasaiah, and G. Stell, "Thermodynamic perturbatio theory for multipolar and ionic liquids," Mol. Phys. 33, 987–1027 (1977).

Lord Rayleigh, "On the transmission of light through the atmosphere containing small particles in suspension, and on the origin of the color of the sky," Philos. Mag. 47, 375–383 (1899).

Y. Uehara, T. Ree, and F. H. Ree, "Radial distribution function for hard disks from the BGY2 theory," J. Chem. Phys. 70, 1876–1883 (1979); J. Woodhead-Galloway and P. A. Machin, "X-ray scattering from a gas of uniform hard-disks using the Percus–Yevick approximation," Mol. Phys. 32, 41–48 (1976); F. Lado, "Equation of state for the hard-disk fluid from approximate integral equations," J. Chem. Phys. 49, 3092–3096 (1968).

Y. Uehara, T. Ree, and F. H. Ree, "Radial distribution function for hard disks from the BGY2 theory," J. Chem. Phys. 70, 1876–1883 (1979); J. Woodhead-Galloway and P. A. Machin, "X-ray scattering from a gas of uniform hard-disks using the Percus–Yevick approximation," Mol. Phys. 32, 41–48 (1976); F. Lado, "Equation of state for the hard-disk fluid from approximate integral equations," J. Chem. Phys. 49, 3092–3096 (1968).

F. Reiche, "Zur Theorie der Dispersion in Gasen und Dampfen," Ann. Phys. 50, 1–121 (1916).

H. Reiss, H. L. Frisch, and J. L. Lebowitz, "Statistical mechanics of rigid spheres," J. Chem. Phys. 31, 369–380 (1959); E. Helfand, H. L. Frisch, and J. L. Lebowitz, "The theory of the two- and one-dimensional rigid sphere fluids," J. Chem. Phys. 34, 1037–1042 (1961).

B. Larsen, J. C. Rasaiah, and G. Stell, "Thermodynamic perturbatio theory for multipolar and ionic liquids," Mol. Phys. 33, 987–1027 (1977).

G. Stell and K. C. Wu, "Padé approximant for the internal energy of a system of charged particles," J. Chem. Phys. 63, 491–498 (1975).

G. J. Throop and R. J. Bearman, "Numerical solution of the Percus–Yevick equation for the hard-sphere potential," J. Chem. Phys. 42, 2408–2411 (1965); F. Mandel, R. J. Bearman, and M. Y. Bearman, "Numerical solution of the Percus–Yevick equation for the Lennard–Jones (6-12) and hard sphere potentials," J. Chem. Phys. 52, 3315–3323 (1970); D. Levesque, J. J. Weis, and J. P. Hansen, "Simulation of classical fluids," in Monte Carlo Methods in Statistical Physics (Springer-Verlag, New York, 1979), pp. 121–144.

V. Twersky, "Coherent electromagnetic waves in pair-correlated random distributions of aligned scatterers," J. Math. Phys. 19, 215–230 1978).

V. Twersky, "Coherent scalar field in pair-correlated random distributions of aligned scatterers," J. Math. Phys. 18,2468–2486 (1977).

C. I. Beard, T. H. Kays, and V. Twersky, "Scattering by random distributions of spheres versus concentration," IEEE Trans. Antennas Propag. AP-1S, 99–118 (1967); S. W. Hawley, T. H. Kays, and V. Twersky, "Comparison of distribution functions from scattering data on different sets of spheres," IEEE Trans. Antennas Propag. AP-15, 118–135 (1967).

V. Twersky, "Multiple scattering of waves and optical phenomena," J. Opt. Soc. Am. 52, 145–171 (1962); "Interface effects in multiple scattering by large, low-refracting, absorbing particles," J. Opt. Soc. Am. 60, 908–914 (1970); "Absorption and multiple scattering by biological suspensions," J. Opt. Soc. Am. 60, 1084–1093 (1970). The text cites equations of the last paper.

V. Twersky, "Acoustic bulk parameters in distributions of paircorrelated scatterers," J. Acoust. Soc. Am. 64, 1710–1719 (1978); "Transparency of pair-correlated random distributions of small scatterers with applications to the cornea," J. Opt. Soc. Am. 65, 524–530 (1975); "Propagation in pair-correlated distributions of small-spaced lossy scatterers," J. Opt. Soc. Am. 69, 1567–1572 (1979).

V. Twersky, "Scattering theory and diagnostic applications," in Wave Propagation through Random Media, P. Chow, W. Kohler, and G. Papanicolaou, eds. (North-Holland, Amsterdam, 1981), pp. 267–286; "Propagation and attenuation in composite media," in Microscopic Properties of Disordered Media, R. Burridge, S. Childress, and G. Papanicolaou, eds. (Springer-Verlag, Berlin, 1982), pp. 258–271.

Y. Uehara, T. Ree, and F. H. Ree, "Radial distribution function for hard disks from the BGY2 theory," J. Chem. Phys. 70, 1876–1883 (1979); J. Woodhead-Galloway and P. A. Machin, "X-ray scattering from a gas of uniform hard-disks using the Percus–Yevick approximation," Mol. Phys. 32, 41–48 (1976); F. Lado, "Equation of state for the hard-disk fluid from approximate integral equations," J. Chem. Phys. 49, 3092–3096 (1968).

H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957), pp. 175.

B. R. A. Nijboer and L. Van Hove, "Radial distribution function of a gas of hard spheres and the superposition approximation," Phys. Rev. 85, 777–783 (1952).

G. Placzek, B. R. A. Nijboer, and L. Van Hove, "Effects of short wavelength interference on neutron scattering by dense systems of heavy nuclei," Phys. Rev. 82, 392–403 (1951).

M. S. Wertheim, "Exact solution of the Percus-Yevick integral equation for hard spheres," Phys. Rev. Lett. 10, 321–323 (1963); E. Thiele, "Equation of state for hard spheres," J. Chem. Phys. 39, 474–479 (1963).

G. Stell and K. C. Wu, "Padé approximant for the internal energy of a system of charged particles," J. Chem. Phys. 63, 491–498 (1975).

F. Reiche, "Zur Theorie der Dispersion in Gasen und Dampfen," Ann. Phys. 50, 1–121 (1916).

C. I. Beard, T. H. Kays, and V. Twersky, "Scattering by random distributions of spheres versus concentration," IEEE Trans. Antennas Propag. AP-1S, 99–118 (1967); S. W. Hawley, T. H. Kays, and V. Twersky, "Comparison of distribution functions from scattering data on different sets of spheres," IEEE Trans. Antennas Propag. AP-15, 118–135 (1967).

G. Stell and K. C. Wu, "Padé approximant for the internal energy of a system of charged particles," J. Chem. Phys. 63, 491–498 (1975).

H. D. Jones, "Method for finding the equation of state of liquid metals," J. Chem. Phys. 55, 2640–2642 (1971).

Y. Uehara, T. Ree, and F. H. Ree, "Radial distribution function for hard disks from the BGY2 theory," J. Chem. Phys. 70, 1876–1883 (1979); J. Woodhead-Galloway and P. A. Machin, "X-ray scattering from a gas of uniform hard-disks using the Percus–Yevick approximation," Mol. Phys. 32, 41–48 (1976); F. Lado, "Equation of state for the hard-disk fluid from approximate integral equations," J. Chem. Phys. 49, 3092–3096 (1968).

H. Reiss, H. L. Frisch, and J. L. Lebowitz, "Statistical mechanics of rigid spheres," J. Chem. Phys. 31, 369–380 (1959); E. Helfand, H. L. Frisch, and J. L. Lebowitz, "The theory of the two- and one-dimensional rigid sphere fluids," J. Chem. Phys. 34, 1037–1042 (1961).

V. Twersky, "Coherent scalar field in pair-correlated random distributions of aligned scatterers," J. Math. Phys. 18,2468–2486 (1977).

V. Twersky, "Coherent electromagnetic waves in pair-correlated random distributions of aligned scatterers," J. Math. Phys. 19, 215–230 1978).

B. Larsen, J. C. Rasaiah, and G. Stell, "Thermodynamic perturbatio theory for multipolar and ionic liquids," Mol. Phys. 33, 987–1027 (1977).

Lord Rayleigh, "On the transmission of light through the atmosphere containing small particles in suspension, and on the origin of the color of the sky," Philos. Mag. 47, 375–383 (1899).

L. L. Foldy, "The multiple scattering of waves," Phys. Rev. 67, 107–119 (1945).

G. Placzek, B. R. A. Nijboer, and L. Van Hove, "Effects of short wavelength interference on neutron scattering by dense systems of heavy nuclei," Phys. Rev. 82, 392–403 (1951).

B. R. A. Nijboer and L. Van Hove, "Radial distribution function of a gas of hard spheres and the superposition approximation," Phys. Rev. 85, 777–783 (1952).

M. S. Wertheim, "Exact solution of the Percus-Yevick integral equation for hard spheres," Phys. Rev. Lett. 10, 321–323 (1963); E. Thiele, "Equation of state for hard spheres," J. Chem. Phys. 39, 474–479 (1963).

G. J. Throop and R. J. Bearman, "Numerical solution of the Percus–Yevick equation for the hard-sphere potential," J. Chem. Phys. 42, 2408–2411 (1965); F. Mandel, R. J. Bearman, and M. Y. Bearman, "Numerical solution of the Percus–Yevick equation for the Lennard–Jones (6-12) and hard sphere potentials," J. Chem. Phys. 52, 3315–3323 (1970); D. Levesque, J. J. Weis, and J. P. Hansen, "Simulation of classical fluids," in Monte Carlo Methods in Statistical Physics (Springer-Verlag, New York, 1979), pp. 121–144.

M. Lax, "Multiple scattering of waves," Rev. Mod. Phys. 23, 287–310 (1951); "The effective field in dense systems," Phys. Rev. 88, 621–629 (1952).

H. L. Frisch and J. L. Lebowitz, The Equilibrium Theory of Fluids (Benjamin, New York, 1964); R. J. Baxter, "Distribution functions," in Physical Chemistry, H. Eyring, D. Henderson, and W. Jost, eds. (Academic, New York, 1971), Vol. VIII A, Chap. 4, pp. 267–334.

V. Twersky, "Acoustic bulk parameters in distributions of paircorrelated scatterers," J. Acoust. Soc. Am. 64, 1710–1719 (1978); "Transparency of pair-correlated random distributions of small scatterers with applications to the cornea," J. Opt. Soc. Am. 65, 524–530 (1975); "Propagation in pair-correlated distributions of small-spaced lossy scatterers," J. Opt. Soc. Am. 69, 1567–1572 (1979).

V. Twersky, "Scattering theory and diagnostic applications," in Wave Propagation through Random Media, P. Chow, W. Kohler, and G. Papanicolaou, eds. (North-Holland, Amsterdam, 1981), pp. 267–286; "Propagation and attenuation in composite media," in Microscopic Properties of Disordered Media, R. Burridge, S. Childress, and G. Papanicolaou, eds. (Springer-Verlag, Berlin, 1982), pp. 258–271.

V. Twersky, "Multiple scattering of waves and optical phenomena," J. Opt. Soc. Am. 52, 145–171 (1962); "Interface effects in multiple scattering by large, low-refracting, absorbing particles," J. Opt. Soc. Am. 60, 908–914 (1970); "Absorption and multiple scattering by biological suspensions," J. Opt. Soc. Am. 60, 1084–1093 (1970). The text cites equations of the last paper.

H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957), pp. 175.