E. Wolf, “Unified theory of coherence and polarization of statistical electromagnetic beams,” Phys. Rev. Lett. 312, 263–267 (2003).

[CrossRef]

V. N. Kumar, D. N. Rao, “Two-beam interference experiments in the frequency-domain to measure the complex degree of spectral coherence,” J. Mod. Opt. 48, 1455–1465 (2001).

D. F. V. James, E. Wolf, “Determination of the degree of coherence of light from spectroscopic measurements,” Opt. Commun. 145, 1–4 (1998).

[CrossRef]

W. H. Carter, E. Wolf, “Far-zone behavior of electromag-netic fields generated by fluctuating current distributions,” Phys. Rev. A 36, 1258–1269 (1987).

[CrossRef]
[PubMed]

M. J. Bastiaans, “A frequency-domain treatment of partial coherence,” Opt. Acta 24, 261–274 (1977).

[CrossRef]

E. Wolf, W. H. Carter, “Angular distribution of radiant intensity from sources of different degrees of spatial coherence,” Opt. Commun. 13, 205–209 (1975).

[CrossRef]

C. L. Mehta, E. Wolf, “Coherence properties of blackbody radiation. III. Cross-spectral tensors,” Phys. Rev. 161, 1328–1334 (1967).

[CrossRef]

B. Karczewski, “Coherence theory of the electromagnetic field,” Nuovo Cimento 30, 906–915 (1963).

[CrossRef]

E. Wolf, “A macroscopic theory of interference and diffraction of light from finite sources II. Fields with a spectral range of arbitrary width,” Proc. R. Soc. London, Ser. A 230, 246–265 (1955).

[CrossRef]

F. Zernike, “Diffraction and optical image formation,” Proc. Phys. Soc. London 61, 158–164 (1948).

[CrossRef]

F. Zernike, “The concept of degree of coherence and its application to optical problems,” Physica 5, 785–795 (1938).

[CrossRef]

M. J. Bastiaans, “A frequency-domain treatment of partial coherence,” Opt. Acta 24, 261–274 (1977).

[CrossRef]

M. Born, E. Wolf, Principles of Optics, 7th expanded ed. (Cambridge U. Press, Cambridge, UK, 1999).

W. H. Carter, E. Wolf, “Far-zone behavior of electromag-netic fields generated by fluctuating current distributions,” Phys. Rev. A 36, 1258–1269 (1987).

[CrossRef]
[PubMed]

E. Wolf, W. H. Carter, “A radiometric generalization of the van Cittert–Zernike theorem for fields generated by sources of arbitrary state of coherence,” Opt. Commun. 16, 297–302 (1976). see also Ref. 9.

[CrossRef]

E. Wolf, W. H. Carter, “Angular distribution of radiant intensity from sources of different degrees of spatial coherence,” Opt. Commun. 13, 205–209 (1975).

[CrossRef]

D. F. V. James, E. Wolf, “Determination of the degree of coherence of light from spectroscopic measurements,” Opt. Commun. 145, 1–4 (1998).

[CrossRef]

V. N. Kumar, D. N. Rao, “Two-beam interference experiments in the frequency-domain to measure the complex degree of spectral coherence,” J. Mod. Opt. 48, 1455–1465 (2001).

R. K. Luneberg, Mathematical Theory of Optics (University of California Press, Berkeley and Los Angeles, Calif., 1964), pp. 319–320.

C. L. Mehta, E. Wolf, “Coherence properties of blackbody radiation. III. Cross-spectral tensors,” Phys. Rev. 161, 1328–1334 (1967).

[CrossRef]

V. N. Kumar, D. N. Rao, “Two-beam interference experiments in the frequency-domain to measure the complex degree of spectral coherence,” J. Mod. Opt. 48, 1455–1465 (2001).

E. Wolf, “Unified theory of coherence and polarization of statistical electromagnetic beams,” Phys. Rev. Lett. 312, 263–267 (2003).

[CrossRef]

D. F. V. James, E. Wolf, “Determination of the degree of coherence of light from spectroscopic measurements,” Opt. Commun. 145, 1–4 (1998).

[CrossRef]

W. H. Carter, E. Wolf, “Far-zone behavior of electromag-netic fields generated by fluctuating current distributions,” Phys. Rev. A 36, 1258–1269 (1987).

[CrossRef]
[PubMed]

L. Mandel, E. Wolf, “Spectral coherence and concept of cross-spectral purity,” J. Opt. Soc. Am. 66, 529–535 (1976).

[CrossRef]

E. Wolf, W. H. Carter, “A radiometric generalization of the van Cittert–Zernike theorem for fields generated by sources of arbitrary state of coherence,” Opt. Commun. 16, 297–302 (1976). see also Ref. 9.

[CrossRef]

E. Wolf, W. H. Carter, “Angular distribution of radiant intensity from sources of different degrees of spatial coherence,” Opt. Commun. 13, 205–209 (1975).

[CrossRef]

C. L. Mehta, E. Wolf, “Coherence properties of blackbody radiation. III. Cross-spectral tensors,” Phys. Rev. 161, 1328–1334 (1967).

[CrossRef]

B. Karczewski, E. Wolf, “Comparison of three theories of electromagnetic diffraction at an aperture. Part I: Coherence matrices,” J. Opt. Soc. Am. 56, 1207–1214 (1966).

[CrossRef]

E. Wolf, “A macroscopic theory of interference and diffraction of light from finite sources II. Fields with a spectral range of arbitrary width,” Proc. R. Soc. London, Ser. A 230, 246–265 (1955).

[CrossRef]

L. Mandel, E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, UK, 1995).

M. Born, E. Wolf, Principles of Optics, 7th expanded ed. (Cambridge U. Press, Cambridge, UK, 1999).

F. Zernike, “Diffraction and optical image formation,” Proc. Phys. Soc. London 61, 158–164 (1948).

[CrossRef]

F. Zernike, “The concept of degree of coherence and its application to optical problems,” Physica 5, 785–795 (1938).

[CrossRef]

V. N. Kumar, D. N. Rao, “Two-beam interference experiments in the frequency-domain to measure the complex degree of spectral coherence,” J. Mod. Opt. 48, 1455–1465 (2001).

B. Karczewski, “Coherence theory of the electromagnetic field,” Nuovo Cimento 30, 906–915 (1963).

[CrossRef]

M. J. Bastiaans, “A frequency-domain treatment of partial coherence,” Opt. Acta 24, 261–274 (1977).

[CrossRef]

E. Wolf, W. H. Carter, “Angular distribution of radiant intensity from sources of different degrees of spatial coherence,” Opt. Commun. 13, 205–209 (1975).

[CrossRef]

E. Wolf, W. H. Carter, “A radiometric generalization of the van Cittert–Zernike theorem for fields generated by sources of arbitrary state of coherence,” Opt. Commun. 16, 297–302 (1976). see also Ref. 9.

[CrossRef]

D. F. V. James, E. Wolf, “Determination of the degree of coherence of light from spectroscopic measurements,” Opt. Commun. 145, 1–4 (1998).

[CrossRef]

C. L. Mehta, E. Wolf, “Coherence properties of blackbody radiation. III. Cross-spectral tensors,” Phys. Rev. 161, 1328–1334 (1967).

[CrossRef]

W. H. Carter, E. Wolf, “Far-zone behavior of electromag-netic fields generated by fluctuating current distributions,” Phys. Rev. A 36, 1258–1269 (1987).

[CrossRef]
[PubMed]

E. Wolf, “Unified theory of coherence and polarization of statistical electromagnetic beams,” Phys. Rev. Lett. 312, 263–267 (2003).

[CrossRef]

F. Zernike, “The concept of degree of coherence and its application to optical problems,” Physica 5, 785–795 (1938).

[CrossRef]

F. Zernike, “Diffraction and optical image formation,” Proc. Phys. Soc. London 61, 158–164 (1948).

[CrossRef]

E. Wolf, “A macroscopic theory of interference and diffraction of light from finite sources II. Fields with a spectral range of arbitrary width,” Proc. R. Soc. London, Ser. A 230, 246–265 (1955).

[CrossRef]

L. Mandel, E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, UK, 1995).

An analogous definition of the degree of coherence of a beamlike field in the space–time domain was obtained many years ago by Karczewski in a little-known paper.4

R. K. Luneberg, Mathematical Theory of Optics (University of California Press, Berkeley and Los Angeles, Calif., 1964), pp. 319–320.

M. Born, E. Wolf, Principles of Optics, 7th expanded ed. (Cambridge U. Press, Cambridge, UK, 1999).

Expression (3.14) was noted previously (Ref. 5, Eq. 6.16) as the degree of coherence in a particular case, namely, in the far field generated by three-dimensional fluctuating charge current distribution in free space.