The generalized Fresnel transform and its application to optics

Optics Communications

Volumn 126, Issue 4-6, 1996, Pages 207-212

  James, Daniel F V ^a   Agarwal, Girish S ^b  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b PHYSICAL RESEARCH LABORATORY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

FOURIER TRANSFORMS; INTEGRAL EQUATIONS; INVARIANCE; LASER MODES; LASER RESONATORS; LASER THEORY; MATHEMATICAL MODELS; OPTICS; OSCILLATORS (ELECTRONIC); QUANTUM ELECTRONICS;

GENERALIZED FRESNEL TRANSFORM; LASER RESONATOR MODES; LINEAR TRANSFORMS; QUANTUM HARMONIC OSCILLATOR;

MATHEMATICAL TRANSFORMATIONS;

EID: 0030145797     PISSN: 00304018     EISSN: None     Source Type: Journal    
DOI: 10.1016/0030-4018(95)00708-3     Document Type: Article

References (30)

1. L. Mertz, Transformations in Optics (Wiley, New York, 1965).
2. J.F. James, A Student's guide to Fourier transforms (Cambridge University Press, Cambridge, 1995).
3. J.W. Goodman, Introduction to Fourier optics (McGraw-Hill, New York, 1968).
4. V. Namias, J. Inst. Maths. Applies 25 (1980) 241.
5. A.C. McBride and F.H. Kerr, IMA J. Appl. Math. 39 (1987) 159.
6. D. Mendlovic and H.M. Ozaktas, J. Opt. Soc. Am. A 10 (1993) 1875.
7. A.W. Lohmann, J. Opt. Soc. Am. A 10 (1993) 2181.
8. G.S. Agarwal and R. Simon, Optics Comm. 110 (1994) 23.
9. E. Merzbacher, Quantum Mechanics, 2nd Ed. (Wiley, New York, 1970) p. 164, Eq. (8.96).
10. P.W. Milonni and J.H. Eberley, Lasers (Wiley, New York, 1988) Chap. 14.
11. S.A. Collins, J. Opt. Soc. Am. 60 (1970) 1168.
12. S.P. Dijali, A. Dienes and J.S. Smith, IEEE J. Quantum Electron. 26(1990) 1158.
13. D.F.V. James and G.S. Agarwal, J. Opt. Soc. Am. B 12 (1970) 704.
14. S. Abe and J.T. Sheridan, J. Phys. A: Math. Gen. 27 (1994) 4179.
15. S. Abc and J.T. Sheridan, Optics Lett. 19 (1994) 1801.
16. A. Walther, J. Opt. Soc. Am. 58 (1968) 1256.
17. E. Wolf, J. Opt. Soc. Am. 68 (1978) 6.
18. H.O. Bartelt, K.-H. Brenner and A.W. Lohmann, Optics Comm. 32 (1980) 32.
19. M.J. Bastiaans, Optics Comm. 25 (1978) 26.
20. M.J. Bastiaans, in: Laser Propagation, eds. P.M. Meíjas, H. Weber, R. Martínez-Herrero and A. González-Ureña (S.E.D.O., Madrid, 1993) pp. 65-87.
21. E.C.G. Sudarshan, N. Mukunda and R. Simon, Optica Acta 32 (1985) 855.
22. A.M. Perelomov, Sov. Phys. Usp. 20 (1977) 703.
23. M.R. Spiegel, Mathematical Handbook of Formulas and Tables (McGraw-Hill, New York, 1968) p. 151.
24. G.N. Watson, J. London Math. Soc. 8 (1933) 194.
25. MJ. Caola, J. Phys. A: Math. Gen. 24 (1991) L1143.
26. A.W. Lohmann and D. Mendlovic, J. Opt. Soc. Am. A 9 (1992) 2009.
27. G. Cincotti, F. Gori and M. Santarsiero, J. Phys. A: Math. Gen. 25 (1992) L1191.
28. A.G. Fox and T. Li, Bell Sys. Tech. J. 40 (1961) 435.
29. A.G. Fox and T. Li, Proc. IEEE 51 (1963) 80.
30. K.E. Oughstun, in: Progress in Optics 24, ed. E. Wolf (North Holland, Amsterdam, 1987) pp. 165-387.