Optical fibre excitation by partially coherent sources

Springer Science and Business Media LLC - Tập 8 - Trang 545-556 - 1976
D. J. Carpenter1, C. Pask1
1Department of Applied Mathematics, Institute of Advanced Studies, Australian National University, Canberra, Australia

Tóm tắt

Sources for optical fibre excitation have previously been assumed to be either totally coherent or incoherent. This paper formulates the modal excitation problem for partially coherent sources. The modal excitation coefficients are given in terms of the source complex degree of coherence and numerical results and simple analytical expressions appropriate to multimode step index fibres are presented. The assumption of equal modal power when excitation is by a very incoherent source is examined and the following simple criterion developed: for highly incoherent sources, modes with eigenvaluesU < the reciprocal of the coherence length, measured in units of fibre radius, are approximately equally excited, while the remaining modes carry little power.

Tài liệu tham khảo

A. W. Snyder,IEEE Trans. MTT 17 (1969) 1138–44. A. W. Snyder, C. Pask andD. J. Mitchell,J. Opt. Soc. Amer. 63 (1973) 608–14. A. W. Snyder andC. Pask,ibid 63 (1973) 806–12. M. Beran andG. B. Parrent, Jr ‘Theory of Coherence’, Prentice-Hall, Englewood Cliffs, New Jersey (1964). M. Born andE. Wolf, ‘Principles of Optics’, Pergamon, New York (1965). D. J. Carpenter andC. Pask,Optica Acta,23 (1976) 279–86. C. Pask andA. W. Snyder,J. Opt. Soc. Amer. 64 (1974) 393–5. A. W. Snyder,IEEE Trans. MTT 17 (1969) 1130–7. M. Abramowitz andI. A. Stegun, ‘Handbook of Mathematical Functions’, Dover Publications, Inc, New York (1965). R. J. Potter,J. Opt. Soc. Amer. 51 (1961) 1079–89. C. Pask andA. W. Snyder,Opto-electronics 6 (1974) 297–304. C. H. Gooch, ‘Gallium Arsenide Lasers’, John Wiley & Sons, Inc, London (1970). D. C. W. Morley, D. G. Schofield, L. Allan andD. G. C. Jones,Brit. J. Appl. Phys. 18 (1967) 1419–22. M. Young andP. L. Drewes,Opt. Commun. 2 (1970) 253–4. C. Pask andA. W. Snyder,Appl. Opt. 13 (1974) 1889–92. A. W. Snyder andD. J. Mitchell,J. Opt. Soc. Amer. 64 (1974) 599–607. R. Sammut, C. Pask andA. W. Snyder,Proc. IEE 122 (1975) 25–33.