Practical considerations for simulating beam propagation: A comparison of three approaches

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 4832, Issue , 2002, Pages 359-378

  Stone, Bryan D ^a   Bruegge, Thomas J ^b  

^a Optical Research Associates   (United States)

^b OPTICAL RESEARCH ASSOCIATES   (United States)

Author keywords

Geometrical optics; Lens design; Optical design; Propagation

Indexed keywords

DIFFRACTION; DISCRETE FOURIER TRANSFORMS; FAST FOURIER TRANSFORMS; GEOMETRICAL OPTICS; INTEGRAL EQUATIONS; LENSES; LIGHT PROPAGATION; MATHEMATICAL MODELS;

GAUSSIAN BEAM DECOMPOSITION; LENS DESIGN;

OPTICAL DESIGN;

EID: 0038011581     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.486454     Document Type: Conference Paper

References (18)

1. For a discussion of Fresnel diffraction, see, for example, Joseph W. Goodman, Introduction to Fourier Optics, 2nd ed., Chapter 4, McGraw-Hill, New York, 1996.
2. Thomas J. Bruegge, Matthew P. Rimmer and James D. Targove, "Software for Free-space Beam Propagation", in Optical Design and Analysis Software, Richard C. Juergens, eds, Proc. SPIE 3780, 14-22, 1999.
3. G. Lawrence, C. Bernard, and V.K. Viswanathan, "Global Coordinates and Exact Aberration Calculations Applied to Physical Optics Modeling of Complex Optical Systems", Modeling and Simulation of Optoelectronic Systems, J.D. O'Keefe, ed., 642, SPIE, Bellingham, 1986.
4. M.M. Popov, "A new method of computation of wave fields using Gaussian Beams", Wave Motion 4, 85-97, 1982.
5. P.D. Einziger, S. Raz and M. Shapira, "Gabor representation and aperture theory", J. Opt. Soc. Am. A 3, 508-522, 1986.
6. Alan W. Greynolds, "Propagation of generally astigmatic Gaussian beams along skew ray paths", in Diffraction Phenomena in Optical Engineering Application, D.M. Byrne and J.E. Harvey, eds., Proc. SPIE 560, 33-50, 1985.
7. Rainer Wilhelm, "Comparing geometrical and wave-optical algorithms of a novel propagation code applied to the VLTI", in Wave-Optical Systems Engineering, Frank Wyrowski, ed., Proc. SPIE 4436, 89-100, 2001.
8. G.W. Forbes and M.A. Alonso, "Using rays better. I. Theory for smoothly varying media", J. Opt. Soc. Am. A 18, 1132-1145, 2001.
9. M.A. Alonso and G.W. Forbes, "Using rays better. II. Ray families to match prescribed wave fields", J. Opt. Soc. Am. A 18, 1146-1159, 2001.
10. M.A. Alonso and G.W. Forbes, "Using rays better. III. Error estimates and illustrative applications in smooth media", J. Opt. Soc. Am. A 18, 1357-1370, 2001.
11. G.W. Forbes, "Using rays better. IV. Theory for refraction and reflection", J. Opt. Soc. Am. A 18, 2557-2564, 2001.
12. Optical Research Associates, Code V®, Pasadena, CA, 2002.
13. Wolfram Research, Inc., Mathematica®, Version 4, Champaign, IL, 1999.
14. This point is discussed further, for example, by Anthony E. Siegman, Lasers, Section 16.7, University Science Books, Mill Valley, CA, 1986.
15. E.O. Brigham, The Fast Fourier Transform and Its Applications, Chapter 6, Prentice Hall, Englewood Cliffs, NJ 1988.
16. Such methods are describes by Edward A. Sziklas and A.E. Siegman, "Mode calculations in unstable resonators with flowing saturable gain. 2: Fast Fourier transform method," Appl. Opt. 14. 1874-1889, 1975.
17. Yasuharu Suematsu and Hiroshi Fukinuki, "Matrix theory of light beam waveguides," Bulletin of the Tokyo Inst. Of Tech. 88, 33-47, 1968.
18. A. Walther, The Ray and Wave Theory of Lenses, Chapter 28, Cambridge U. Press, Cambridge, 1995.