Finite element ray tracing: A new method for ray tracing in gradient-index media

Applied Optics

Volumn 35, Issue 31, 1996, Pages 6186-6189

  Richerzhagen, Bernold ^a  

^a EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 7444265763     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.35.006186     Document Type: Article

References (18)

1. M. Born and E. Wolf, Principles of Optics, 6. ed. (Pergamon, New York, 1980), pp. 109-127.
2. E. W. Marchand, “Ray tracing in gradient-index media,” J. Opt. Soc. Am. 60, 1-7 (1970).
3. E. W. Marchand, Gradient Index Optics (Academic, New York, 1978), Chaps. 4-5, pp. 43-66.
4. E. W. Marchand, “Ray tracing in cylindrical gradient-index media,” Appl. Opt. 11, 1104-1106 (1972).
5. W. Streifer and K. B. Paxton, “Analytic solution of ray equations in cylindrically inhomogeneous guiding media. 1. Meridional rays,” Appl. Opt. 10, 769-775 (1971).
6. A. D. Pearson, W. G. French, and E. G. Rawson, “Preparation of a light focusing glass rod by ion-exchange techniques,” Appl. Phys. Lett. 15, 76-77 (1969).
7. T. Uchida, M. Furukawa, I. Kitano, K. Koizumi, and H. Mat-sumura, “Selfoc lenses,” presented at IEEE/Optical Society of America Joint Conference on Laser Engineering Applications, Washington, D.C., May 1969.
8. H. A. Buchdahl, “Rays in gradient-index media: separable systems,” J. Opt. Soc. Am. 63, 46-49 (1973).
9. D. T. Moore, “Ray tracing in gradient-index media,” J. Opt. Soc. Am. 65, 451-455 (1975).
10. L. Montagnino, “Ray tracing in inhomogenous media,” J. Opt. Soc. Am 58, 1667-1668 (1968).
11. A. Sharma, D. Vizia Kumar, and A. K. Ghatak, “Tracing rays through graded-index media: a new method,” Appl. Opt. 21, 984-987 (1982).
12. Y. Chung and N. Dagli, “Modeling of guided-wave optical components with efficient finite-difference beam propagation methods,” IEEE Antennas Propag. Soc. Int. Symp. 1, 248-250 (1992).
13. T. Itoh, Finite Element Method in Numerical Techniques for Microwave and Millimeter-Wave Passive Structures (Wiley, New York, 1989), Chap. 1, pp. 2-62.
14. W. H. Press, B. P. Flannery, S. A. Teukilsky, and W. T. Vet-terling, Numerical Recipes (Cambridge U. Press, New York, 1989), Chap. 17, pp. 615-622.
15. A. R. Mitchell and D. F. Griffiths, The Finite Difference Method in Partial Differential Equation (Wiley, New York, 1980), Chap. 1.
16. A. R. Mitchell and R. Wait, The Finite Element Method in Partial Differential Equation (Wiley, New York, 1977), Chap. 7, pp. 166-190.
17. J. B. Scarborough, Numerical Mathematical Analysis (Johns Hopkins U. Press, Baltimore, 1966), Chap. 97, pp. 299-303.
18. B. Richerzhagen, G. Delacretaz, and R. P. Salathe, “Complete model to simulate the thermal defocusing of a laser beam focused in water,” Opt. Eng. 35 (7) (1996).