Communication modes in scalar diffraction

Optik

Volumn 119, Issue 3, 2008, Pages 103-111

  Martinsson, Per ^a   Ma, Ping ^a   Burvall, Anna ^b   Friberg, Ari T ^b  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

Diffraction; Near fields; Optical information; Propagation; Wave optics

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELECTROMAGNETIC WAVE DIFFRACTION; OPTICAL RESOLVING POWER; SCANNING PROBE MICROSCOPY; WAVE PROPAGATION;

FRESNEL DOMAIN PROPAGATION; OPTICAL INFORMATION; OPTICAL RESOLUTION; WAVE OPTICS;

OPTICAL COMMUNICATION;

EID: 38549134300     PISSN: 00304026     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijleo.2006.07.009     Document Type: Article

References (28)

1. Miller D.A.B. Communicating with waves between volumes: evaluating orthogonal spatial channels and limits on coupling strengths. Appl. Opt. 39 (2000) 1681-1699
2. Gallager R.G. Information Theory and Reliable Communication (1968), Wiley, New York
3. di Francia G.T. Degrees of freedom of an image. J. Opt. Soc. Am. 59 (1969) 799-804
4. B.R. Frieden, Evaluation, design and extrapolation methods for optical signals, in: E. Wolf (Ed.), Progress in Optics, vol. IX, North-Holland, Amsterdam, 1971, pp. 311-407.
5. Bertero M., and Pike E.R. Resolution in diffraction-limited imaging. a singular-value analysis I. The case of coherent illumination, Opt. Acta 29 (1982) 727-746
6. Slepian D., and Pollak H.O. Prolate spheroidal wave functions. Fourier analysis and uncertainty - I, Bell Syst. Technol. J. 40 (1961) 43-63
7. Landau H.J., and Pollak H.O. Prolate spheroidal wave functions. Fourier analysis and uncertainty - II, Bell Syst. Technol. J. 40 (1961) 65-84
8. Kolobov M.I., and Fabre C. Quantum limits on optical resolution. Phys. Rev. Lett. 85 (2000) 3789-3792
9. Thaning A., Martinsson P., Karelin M., and Friberg A.T. Limits of diffractive optics by communication modes. J. Opt. A: Pure Appl. Opt. 5 (2003) 153-158
10. Pierri R., Liseno A., Soldovieri F., and Solimene R. In-depth resolution for a strip source in the Fresnel zone. J. Opt. Soc. Am. A 18 (2001) 352-359
11. Pierri R., Liseno A., Solimene R., and Tartaglione F. In-depth resolution from multifrequency Born fields scattered by a dielectric strip in the Fresnel zone. J. Opt. Soc. Am. A 19 (2002) 1234-1238
12. Piestun R., and Miller D.A.B. Electromagnetic degrees of freedom of an optical system. J. Opt. Soc. Am. A 17 (2000) 892-902
13. Burvall A., Martinsson P., and Friberg A.T. Communication modes applied to axicons. Opt. Express 12 (2004) 377-383
14. Levine H., and Schwinger J. On the theory of diffraction by an aperture in an infinite plane screen I. Phys. Rev. 74 (1948) 958-974
15. Walther A. The Ray and Wave Theory of Lenses (1995), Gambridge University Press, Cambridge, UK (Chapter 14)
16. Bertero M., de Mol C., Gori F., and Ronchi L. Number of degrees of freedom in inverse diffraction. Opt. Acta 30 (1983) 1051-1065
17. Barrett H.H., and Myers K.J. Foundations of Image Science (2004), Wiley, Hoboken, NJ
18. C. Lanczos, Linear Diffrential Operators, Van Nostrand, London, 1961.
19. In: Press W.H., Teukolsky S.A., Vetterling W.T., and Flannery B.P. (Eds). Numerical Recipes: The Art of Scientific Computing (1992), Cambridge University Press, Cambridge, UK
20. J.W. Goodman, Fourier Optics, second ed., McGraw-Hill, New York, 1986.
21. D. Slepian, Prolate spheroidal wave functions, Fourier analysis, and uncertainty, IV: extensions to many dimensions; generalized prolate spheroidal functions. Bell Syst. Technol. J. 43 (1964) 3009-3057.
22. Nieto-Vesperinas M. Scattering and Diffraction in Physical Optics (1991), Wiley, New York
23. I.S. Gradshteyn, I.M. Ryzhik, Table of Integrals, Series and Products, fourth ed., Academic Press, New York, 1965, item (10) on p. 401.
24. Gori F. The converging prolate spheroidal functions and their use in Fresnel optics. Opt. Commun. 45 (1983) 5-10
25. Pierri R., and Soldovieri F. On the information content of the radiated fields in the near zone over bounded domains. Inverse Problems 14 (1998) 321-337
26. Mandel L., and Wolf E. Optical Coherence and Quantum Optics (1995), Cambridge University Press, Cambridge, UK (Section 3.2)
27. Habashy T., Friberg A.T., and Wolf E. Application of the coherent-mode representation to a class of inverse source problems. Inverse Problems 13 (1997) 47-61
28. Friberg A.T., and Reng N. Wide-angle reciprocity relations between near and far fields. Proc. SPIE 2870 (1996) 154-162