What on earth is a ray and how can we use them best?

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 3482, Issue , 1998, Pages 22-31

  Forbes, G W ^a   Alonso, M A ^a  

^a MACQUARIE UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

WAVE PROPAGATION;

MATHEMATICAL CONSTRUCTS; NEW APPROACHES; PHYSICAL WORLD; STATE OF THE ART; WAVEFIELDS; WINDOWED FOURIER TRANSFORMS;

OPTICAL DESIGN;

EID: 0006970283     PISSN: 0277786X     EISSN: 1996756X     Source Type: Conference Proceeding    
DOI: 10.1117/12.321963     Document Type: Conference Paper

References (15)

1. Y. A. Kravtsov and Y. A. Orlov, Caustics, Catastrophes and Wave Fields, (Springer-Verlag, Berlin, 1993) Ch.2.
2. G. W. Forbes and M. A. Alonso, "Asymptotic estimation of the optical wave propagator II: relative validity", J. Opt. Soc. Am. A15 1341-1354 (1998).
3. G. W. Forbes, "On variational problems in parametric form", Am. J. Phys. 59, 1130-1140, 1991.
4. R. Courant and D. Hilbert, Methods of Mathematical Physics, Vol. II, (John Wiley & Sons, Inc., New York, 1989), pp. 75-82.
5. See the review given by J. B. Delos, "Semiclassical calculation of quantum mechanical wavefunctions", Adv. in Chem. Phys, I. Prigogine and S. A. Rice, Eds., 67 (John Wiley Interscience, 1986), pp. 161-213.
6. A. Walther, "Lenses, wave optics, and eikonal functions". J. Opt. Soc. Am. 59, 1325-1333, 1969.
7. See also A. Walther, The ray and wave theory of lenses, (Cambridge University Press, Cambridge, UK, 1995) Ch. 17.
8. See, e.g., the method of interference integrals discussed in Ch.7 of Ref.l.
9. V. M. Babich and M. M. Popov, "Gaussian summation method (review) ", Radiophys. Quant. Electron. 39, 1063-1081, 1989.
10. K. G. Kay, "Integral expressions for the semiclassical time-dependent propagator". J. Chem. Phys. 100, 4377-4392, 1994.
11. M. A. Alonso and G. W. Forbes, "Asymptotic estimation of the optical wave propagator I: derivation of a new method", J. Opt. Soc. Am. A15 1328-1340 (1998).
12. See (i) G. W. Forbes and M. A. Alonso, "Representation-specific semiclassical estimates in quantum mechanics"
13. and (ii) M. A. Alonso and G. W. Forbes, "New approach to semiclassical analysis in mechanics", submitted June 1998.
14. N. Bleistein and R. Handelsman, Asymptotic Expansion of Integrals, (Dover, New York, 1986), Sec.8.4.
15. J. J. Stamnes, Waves in focal regions (Adam Hilger, Bristol, UK, 1986) Sec. 9.1.