W. H. Carter and E. Wolf, "Coherence and radiometry with quasihomogeneous planar sources," J. Opt. Soc. Am. 67, 785–796 (1977).

H. P. Baltes and B. Steinle, "Information on Planar Sources from Far-Zone Spatial Coherence," Lett. Nuovo Cimento 18, 313–318 (1977).

F. Scudieri, M. Bertolotti, and R. Bartolino, "Light Scattering by a Liquid Crystal: a New Quasi-Thermal Source," Appl. Opt. 13, 181–185 (1977).

M. Bertolotti, F. Scudieri, and S. Verginelli, "Spatial Coherence of Light Scattered by Media with Large Correlation Length of Refractive Index Fluctuations," Appl. Opt. 15, 1842–1844 (1976).

G. C. Sherman, J. J. Stamnes, and E. Lalor, "Asymptotic approximations to angular-spectrum representations," J. Math. Phys. 17, 760–776 (1976). See particularly Sect. 5A, where we assume case (a) obtains.

E. Wolf, and W. H. Carter, "Angular Distribution of Radiant Intensity from Sources of Different Degrees of Spatial Coherence," Opt. Comm. 13, 20.4–209 (1975).

R. Bartolino, M. Bertolotti, F. Scudieri, and D. Sette, "Coherence Of Light Passing Through a Nematic Liquid Crystal Under a d.c. Electric Field," Appl. Opt. 12, 2917–2922 (1973).

A. K. Jaiswal, G. P. Agrawal, and C. L. Mehta, "Coherence Functions in the Far Field Diffraction Plane," Nuovo'Cimento B15, 295–307 (1973).

L. Mandel and E. Wolf, "Coherence Properties of Optical Fields," Rev. Mod. Phys. 37, 231–287 (1965), see Eq. (3.32).

A. K. Jaiswal, G. P. Agrawal, and C. L. Mehta, "Coherence Functions in the Far Field Diffraction Plane," Nuovo'Cimento B15, 295–307 (1973).

H. P. Baltes, B. Steinle, and G. Antes, "Radiometric and Correlation Properties of Bounded Planar Sources," Proceedings of the Fourth Rochester Conference on Coherence and Quantum Optics, L. Mandel and E. Wolf, eds. (Plenum, New York, in press).

H. P. Baltes and B. Steinle, "Information on Planar Sources from Far-Zone Spatial Coherence," Lett. Nuovo Cimento 18, 313–318 (1977).

H. P. Baltes, B. Steinle, and G. Antes, "Radiometric and Correlation Properties of Bounded Planar Sources," Proceedings of the Fourth Rochester Conference on Coherence and Quantum Optics, L. Mandel and E. Wolf, eds. (Plenum, New York, in press).

F. Scudieri, M. Bertolotti, and R. Bartolino, "Light Scattering by a Liquid Crystal: a New Quasi-Thermal Source," Appl. Opt. 13, 181–185 (1977).

R. Bartolino, M. Bertolotti, F. Scudieri, and D. Sette, "Coherence Of Light Passing Through a Nematic Liquid Crystal Under a d.c. Electric Field," Appl. Opt. 12, 2917–2922 (1973).

F. Scudieri, M. Bertolotti, and R. Bartolino, "Light Scattering by a Liquid Crystal: a New Quasi-Thermal Source," Appl. Opt. 13, 181–185 (1977).

M. Bertolotti, F. Scudieri, and S. Verginelli, "Spatial Coherence of Light Scattered by Media with Large Correlation Length of Refractive Index Fluctuations," Appl. Opt. 15, 1842–1844 (1976).

R. Bartolino, M. Bertolotti, F. Scudieri, and D. Sette, "Coherence Of Light Passing Through a Nematic Liquid Crystal Under a d.c. Electric Field," Appl. Opt. 12, 2917–2922 (1973).

M. Bertolotti and F. Scudieri, "Spatial Coherence of Light Scattered by Liquid Crystals," Proceedings of the Fourth Rochester Conference on Coherence and Quantum Optics, L. Mandel and E. Wolf, eds. Plenum, New York, in press).

, R. Bracewell, The Fourier Transform and Its Applications, (McGraw-Hill, New York, 1965); see the table on p. 244 for the convolution theorem in two dimensions.

W. H. Carter and E. Wolf, "Coherence and radiometry with quasihomogeneous planar sources," J. Opt. Soc. Am. 67, 785–796 (1977).

E. Wolf, and W. H. Carter, "Angular Distribution of Radiant Intensity from Sources of Different Degrees of Spatial Coherence," Opt. Comm. 13, 20.4–209 (1975).

W. H. Carter, "Three-dimensional wave theory of optical image formation from scattered sound," J. Opt. Soc. Am. 60, 1366–1374 (1970), see Eq. (B10) in Appendix B. This equation assumes that the scatterer is sufficiently weak to be treated in the first Born approximation and that the light is scattered principly only into directions which make small angles with the +z axis as defined by Eq. (B8) in this Appendix.

P. G. de Gennes, The Physics of Liquid Crystals (Clarendon Press, Oxford, 1974); see Chapter 4, and also see Ref. 4, Sect. 3.

A. K. Jaiswal, G. P. Agrawal, and C. L. Mehta, "Coherence Functions in the Far Field Diffraction Plane," Nuovo'Cimento B15, 295–307 (1973).

G. C. Sherman, J. J. Stamnes, and E. Lalor, "Asymptotic approximations to angular-spectrum representations," J. Math. Phys. 17, 760–776 (1976). See particularly Sect. 5A, where we assume case (a) obtains.

L. Mandel and E. Wolf, "Coherence Properties of Optical Fields," Rev. Mod. Phys. 37, 231–287 (1965), see Eq. (3.32).

E. W. Marchand and E. Wolf, "Generalized Radiometry for Radiation from Partially Coherent Sources," Opt. Commun. 6, 305–308 (1972); see Eq. (12) in which the (2Π)^{-2} constant should be deleted.

A. K. Jaiswal, G. P. Agrawal, and C. L. Mehta, "Coherence Functions in the Far Field Diffraction Plane," Nuovo'Cimento B15, 295–307 (1973).

A. C. Schell, "The Multiple Plate Antenna," Doctoral dissertation (Massachusetts Institute of Technology, 1961) (unpublished), Sec. 7.5.

F. Scudieri, M. Bertolotti, and R. Bartolino, "Light Scattering by a Liquid Crystal: a New Quasi-Thermal Source," Appl. Opt. 13, 181–185 (1977).

M. Bertolotti, F. Scudieri, and S. Verginelli, "Spatial Coherence of Light Scattered by Media with Large Correlation Length of Refractive Index Fluctuations," Appl. Opt. 15, 1842–1844 (1976).

R. Bartolino, M. Bertolotti, F. Scudieri, and D. Sette, "Coherence Of Light Passing Through a Nematic Liquid Crystal Under a d.c. Electric Field," Appl. Opt. 12, 2917–2922 (1973).

M. Bertolotti and F. Scudieri, "Spatial Coherence of Light Scattered by Liquid Crystals," Proceedings of the Fourth Rochester Conference on Coherence and Quantum Optics, L. Mandel and E. Wolf, eds. Plenum, New York, in press).

G. C. Sherman, J. J. Stamnes, and E. Lalor, "Asymptotic approximations to angular-spectrum representations," J. Math. Phys. 17, 760–776 (1976). See particularly Sect. 5A, where we assume case (a) obtains.

R. A. Shore, "Partially Coherent Diffraction by a Circular Aperture," in Electromagnetic Theory and Antennas, E. C. Jordan, ed. (Pergammon, London, 1963), Part 2, pp. 787–795.

G. C. Sherman, J. J. Stamnes, and E. Lalor, "Asymptotic approximations to angular-spectrum representations," J. Math. Phys. 17, 760–776 (1976). See particularly Sect. 5A, where we assume case (a) obtains.

H. P. Baltes and B. Steinle, "Information on Planar Sources from Far-Zone Spatial Coherence," Lett. Nuovo Cimento 18, 313–318 (1977).

H. P. Baltes, B. Steinle, and G. Antes, "Radiometric and Correlation Properties of Bounded Planar Sources," Proceedings of the Fourth Rochester Conference on Coherence and Quantum Optics, L. Mandel and E. Wolf, eds. (Plenum, New York, in press).

W. H. Carter and E. Wolf, "Coherence and radiometry with quasihomogeneous planar sources," J. Opt. Soc. Am. 67, 785–796 (1977).

E. Wolf, and W. H. Carter, "Angular Distribution of Radiant Intensity from Sources of Different Degrees of Spatial Coherence," Opt. Comm. 13, 20.4–209 (1975).

E. W. Marchand and E. Wolf, "Generalized Radiometry for Radiation from Partially Coherent Sources," Opt. Commun. 6, 305–308 (1972); see Eq. (12) in which the (2Π)^{-2} constant should be deleted.

E. Marchand and E. Wolf, "Angular correlation and the far-zone behavior of partially coherent fields," J. Opt. Soc. Am. 62, 379–385 (1972), Eq. (37).

L. Mandel and E. Wolf, "Coherence Properties of Optical Fields," Rev. Mod. Phys. 37, 231–287 (1965), see Eq. (3.32).

R. Bartolino, M. Bertolotti, F. Scudieri, and D. Sette, "Coherence Of Light Passing Through a Nematic Liquid Crystal Under a d.c. Electric Field," Appl. Opt. 12, 2917–2922 (1973).

F. Scudieri, M. Bertolotti, and R. Bartolino, "Light Scattering by a Liquid Crystal: a New Quasi-Thermal Source," Appl. Opt. 13, 181–185 (1977).

M. Bertolotti, F. Scudieri, and S. Verginelli, "Spatial Coherence of Light Scattered by Media with Large Correlation Length of Refractive Index Fluctuations," Appl. Opt. 15, 1842–1844 (1976).

G. C. Sherman, J. J. Stamnes, and E. Lalor, "Asymptotic approximations to angular-spectrum representations," J. Math. Phys. 17, 760–776 (1976). See particularly Sect. 5A, where we assume case (a) obtains.

W. H. Carter and E. Wolf, "Coherence and radiometry with quasihomogeneous planar sources," J. Opt. Soc. Am. 67, 785–796 (1977).

E. Marchand and E. Wolf, "Angular correlation and the far-zone behavior of partially coherent fields," J. Opt. Soc. Am. 62, 379–385 (1972), Eq. (37).

W. H. Carter, "Three-dimensional wave theory of optical image formation from scattered sound," J. Opt. Soc. Am. 60, 1366–1374 (1970), see Eq. (B10) in Appendix B. This equation assumes that the scatterer is sufficiently weak to be treated in the first Born approximation and that the light is scattered principly only into directions which make small angles with the +z axis as defined by Eq. (B8) in this Appendix.

H. P. Baltes and B. Steinle, "Information on Planar Sources from Far-Zone Spatial Coherence," Lett. Nuovo Cimento 18, 313–318 (1977).

A. K. Jaiswal, G. P. Agrawal, and C. L. Mehta, "Coherence Functions in the Far Field Diffraction Plane," Nuovo'Cimento B15, 295–307 (1973).

E. Wolf, and W. H. Carter, "Angular Distribution of Radiant Intensity from Sources of Different Degrees of Spatial Coherence," Opt. Comm. 13, 20.4–209 (1975).

E. W. Marchand and E. Wolf, "Generalized Radiometry for Radiation from Partially Coherent Sources," Opt. Commun. 6, 305–308 (1972); see Eq. (12) in which the (2Π)^{-2} constant should be deleted.

L. Mandel and E. Wolf, "Coherence Properties of Optical Fields," Rev. Mod. Phys. 37, 231–287 (1965), see Eq. (3.32).

A. C. Schell, "The Multiple Plate Antenna," Doctoral dissertation (Massachusetts Institute of Technology, 1961) (unpublished), Sec. 7.5.

R. A. Shore, "Partially Coherent Diffraction by a Circular Aperture," in Electromagnetic Theory and Antennas, E. C. Jordan, ed. (Pergammon, London, 1963), Part 2, pp. 787–795.

M. Bertolotti and F. Scudieri, "Spatial Coherence of Light Scattered by Liquid Crystals," Proceedings of the Fourth Rochester Conference on Coherence and Quantum Optics, L. Mandel and E. Wolf, eds. Plenum, New York, in press).

P. G. de Gennes, The Physics of Liquid Crystals (Clarendon Press, Oxford, 1974); see Chapter 4, and also see Ref. 4, Sect. 3.

This change of variables is discussed in more detail in Ref. 5, after Eq. (3.2).

, R. Bracewell, The Fourier Transform and Its Applications, (McGraw-Hill, New York, 1965); see the table on p. 244 for the convolution theorem in two dimensions.

H. P. Baltes, B. Steinle, and G. Antes, "Radiometric and Correlation Properties of Bounded Planar Sources," Proceedings of the Fourth Rochester Conference on Coherence and Quantum Optics, L. Mandel and E. Wolf, eds. (Plenum, New York, in press).