Abstract
Wavefields endowed with the coherence-induced property of optical twist have recently attracted a good deal of theoretical and experimental attention. We present the generalized radiometric theory of fields generated by twisted Gaussian Schell-model sources. The effects introduced by the novel, rotationally symmetric, twist phenomenon in the radiant intensity, generalized radiance, radiant emittance (irradiance), and the radiation efficiency are assessed. The radiance becomes directionally skewed as a result of the twist, whereas the radiant intensity remains axially symmetric. The twist reduces the radiation efficiency and broadens the radiation distribution, in agreement with the notion that the twist decreases the effective coherence. Several special cases, such as quasihomogeneous sources, are analyzed in detail. The radiometric results, which are physically consistent with the superposition models of twisted sources, are demonstrated by illustrative examples.
Similar content being viewed by others
References
L. Mandel and E. Wolf: Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, UK, 1995).
A. T. Friberg, ed.: Selected Papers on Coherence and Radiometry, SPIE Milestone Series, Vol. 69 (SPIE Optical Engineering Press, Bellingham, WA, 1993).
S. R. Seshadri: J. Opt. Soc. Am. A 16 (1999) 1373.
R. Simon and N. Mukunda: J. Opt. Soc. Am. A 10 (1993) 95.
R. Simon, K. Sundar and N. Mukunda: J. Opt. Soc. Am. A 10 (1993) 2008.
K. Sundar, R. Simon and N. Mukunda: J. Opt. Soc. Am. A 10 (1993) 2017.
R. Simon and N. Mukunda: J. Opt. Soc. Am. A 15 (1998) 2373.
A. T. Friberg, E. Tervonen and J. Turunen: J. Opt. Soc. Am. A 11 (1994) 1818.
A. T. Friberg, E. Tervonen and J. Turunen: Opt. Commun. 106 (1994) 127.
J. Turunen, E. Tervonen and A. T. Friberg: J. Appl. Phys. 67 (1990) 49.
F. Gori, V. Bagini, M. Santarsiero, F. Frezza, G. Schettini and G. Schirripa Spagnolo: Opt. Rev. 1 (1994) 143.
D. Ambrosini, V. Bagini, F. Gori and M. Santarsiero: J. Mod. Opt. 41 (1994) 1391.
F. Gori, M. Santarsiero, R. Borghi and S. Vicalvi: J. Mod. Opt. 45 (1998) 539.
A. T. Friberg: in International Trends in Optics and Photonics (ICO IV), ed. T. Asakura (Springer-Verlag, Berlin, 1999) p. 3.
S. Ramee and R. Simon: J. Opt. Soc. Am. A 17 (2000) 84.
R. Simon, A. T. Friberg and E. Wolf: JEOS A: Pure Appl. Opt. 5 (1996) 331.
G. Nemes and A. E. Siegman: J. Opt. Soc. Am. A 11 (1994) 1811.
A. T. Friberg, C. Gao, B. Eppich and H. Weber: Proc. SPIE 3110 (1997) 317.
M. J. Bastiaans: in Optics and Optoelectronics: Theory, Devices, and Applications, eds. O. P. Nijhawan, A. K. Gupta, A. K. Musla and K. Singh (Narosa, New Delhi, 1998) Vol. 1, p. 121.
H. Laabs, C. Gao and H. Weber: J. Mod. Opt. 46 (1999) 709.
R. Simon and N. Mukunda: J. Opt. Soc. Am. A 16 (1999) 2465.
W. H. Carter and E. Wolf: J. Opt. Soc. Am. 67 (1977) 785.
A. T. Friberg: Opt. Eng. 21 (1982) 362.
A. Gamliel: Opt. Commun. 60 (1986) 333.
T. Shirai and T. Asakura: J. Mod. Opt. 40 (1993) 1143.
T. Shirai and T. Asakura: J. Mod. Opt. 40 (1993) 2451.
A. Gamliel and A. T. Friberg: J. Opt. Soc. Am. A 8 (1991) 520.
E. W. Marchand and E. Wolf: J. Opt. Soc. Am. 64 (1974) 1219.
E. Wolf: J. Opt. Soc. Am. 68 (1978) 1597.
M. Abramowitz and I. A. Stegun, eds: Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Dover, New York, 1965).
E. Wolf and E. Collett: Opt. Commun. 25 (1978) 293.
E. Collett and E. Wolf: J. Opt. Soc. Am. 69 (1979) 942.
A. Walther: J. Opt. Soc. Am. 58 (1968) 1256.
M. J. Bastiaans: in The Wigner Distribution— Theory and Applications in Signal Processing, eds. W. Mecklenbrauker and F. Hlawatsch (Elsevier, Amsterdam, 1997) p. 375.
H. P. Baltes and B. Steinle: Nuovo Cimento B 41 (1977) 428.
A. S. Ostrovsky: Opt. Rev. 3 (1996) 83.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Östlund, P., Friberg, A.T. Radiometry and Radiation Efficiency of Twisted Gaussian Schell-Model Sources. OPT REV 8, 1–8 (2001). https://doi.org/10.1007/s10043-001-0001-0
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s10043-001-0001-0