Abstract
A basic formula is derived for the spectrum of the field generated by a planar source of any state of spatial coherence. The formula shows clearly the contribution due to diffraction and due to source correlations. The distinction between these two contributions has not been appreciated in some previous publications. Examples are presented illustrating the effect of source correlations on the spectrum of the far field. A brief preliminary account is also presented of a recent investigation by H. Chen and E. Wolf which has shown that it is possible to produce a source whose degree of coherence will act on the spectrum of the source as a low-pass filter with a sharp frequency cut-off.
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References
E. Wolf: Phys. Rev. Lett.56, 1370 (1986)
E. Wolf: InInternational Trends in Optics, ed. by J.W. Goodman (Academic, New York 1991) p. 221
E. Wolf: InHuygen's Principle 1690–1990, Theory and Applications, ed. by H. Blok, H. A. Ferwerda, H. K. Kuiken (North-Holland, Amsterdam 1992) p. 113
E. Wolf: InRecent Developments in Quantum Optics, ed. by R. Inguva (Plenum, New York 1993) p. 369
H. C. Kandpal, J. S. Vaishya, K. C. Joshi: Opt. Eng.33, 1996 (1994)
G. M. Morris, D. Faklis: Opt. Commun.62, 5 (1987)
F. Gori, G. Guattari, C. Palma, C. Padovani: Opt. Commun.67, 1 (1988)
G. Indebetouw: J. Mod. Opt.36, 251 (1989)
H. C. Kandpal, J. S. Vaishya, K. C. Joshi: Phys. Rev. A41, 4541 (1990)
H. K. E. Drabe, G. Cnossen, D. A. Wiersma, H. A. Ferwerda, B. J. Hoenders: Phys. Rev. Lett.65, 1427 (1990)
K. D. Mielenz: J. Res. Nat'l Inst. Stand. Technol.98, 231 (1993)
K. A. Nugent, J. L. Gardner: Metrologia29, 319 (1992)
Yu. E. D'yakov: Sov. J. Quantum Electron.23, 931 (1993)
E. Wolf: J. Res. Nat'l Inst. Stand. Technol.99, 281 (1994)
E. Wolf: Metrologia (in press)
G. V. Varada, G. S. Agarwal: Phys. Rev. A44, 7626 (1992)
D. F. V. James: Phys. Rev. A47, 1336 (1993)
E. Wolf: J. Opt. Soc. Am.72, 343 (1982); E. Wolf: J. Opt. Soc. Am. A3, 76 (1986)
L. Mandel, E. Wolf:Optical Coherence and Quantum Optics (Cambridge Univ. Press, Cambridge) Sect. 3.2.5 (in press)
Y. Ohtsuka, S. Tanaka, M. Kamada, T. Kobayashi: Opt. Rev. (Jpn.) (submitted)
W. H. Carter, E. Wolf: J. Opt. Soc. Am.67, 785 (1977)
W. H. Carter, E. Wolf: J. Opt. Soc. Am.65, 1067 (1975)
E. Wolf, W. H. Carter: InCoherence and Quantum Optics IV, ed. by L. Mandel, E. Wolf (Plenum, New York 1978) p. 415
H. Chen, E. Wolf: To be published
D. Faklis, G. M. Morris: Opt. Lett.13, 4 (1988)
G. N. Watson:A Treatise on the Theory of Bessel Functions (Cambridge Univ. Press, Cambridge 1944) p. 20, Eq. (5), with an obvious substitution
I. S. Gradshteyn, I. M. Ryzhik:Tables of Integrals, Series and Products (Academic, New York 1980) p. 667, Eq. (3) of 6.512,withv = 1,α = q, β = f
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Dedicated to H. Walther, with best wishes, on the occasion of his 60th birthday
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Wolf, E. Spectral invariance and non-invariance of light generated by partially coherent sources. Appl. Phys. B 60, 303–308 (1995). https://doi.org/10.1007/BF01135878
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DOI: https://doi.org/10.1007/BF01135878