Skew Ray Tracing and Sensitivity Analysis of Paraboloidal Optical Boundary Surfaces

Chi Kuen Sung; Psang Dain Lin

doi:10.4028/www.scientific.net/MSF.505-507.613

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Skew Ray Tracing and Sensitivity Analysis of Paraboloidal Optical Boundary Surfaces
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HomeMaterials Science ForumMaterials Science Forum Vols. 505-507Skew Ray Tracing and Sensitivity Analysis of...

Skew Ray Tracing and Sensitivity Analysis of Paraboloidal Optical Boundary Surfaces

Abstract:

One of the most popular mathematical tools in fields of robotics, mechanisms and computer graphics is the 4x4 homogeneous transformation matrix. In previous work we applied this matrix to the optical domains of flat and spherical surfaces for: (1) skew ray tracing to determine the paths of skew rays being reflected/refracted; (2) sensitivity analysis to determine by direct mathematical analysis the differential change of incident point and reflected/refracted vector with respect to change in incident light source. The present work extends our previous work to include the case of parabaloidal boundary surfaces.

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Periodical:

Materials Science Forum (Volumes 505-507)

Pages:

613-618

DOI:

https://doi.org/10.4028/www.scientific.net/MSF.505-507.613

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Online since:

January 2006

Authors:

Chi Kuen Sung, Psang Dain Lin

Keywords:

Matrix, Skew Ray Tracing

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References

[1] T. T. Liao and P. D. Lin, Analysis of Optical Elements with Flat Boundary Surfaces, The Journal of Applied Optics, Vol. 42, No. 7, pp.1191-1202, (2003).

DOI: 10.1364/ao.42.001191

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[2] P. D. Lin and C. H. Lu, Analysis and Design of Optical System by Using Sensitivity Analysis of Skew Ray Tracing, The Journal of Applied Optics, Vol. 43, No. 4, pp.796-807, (2004).

DOI: 10.1364/ao.43.000796

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[3] W. J. Smith, Modern Optical Engineering, Third Edition, SPIE Press. McGRAW-HILL, pp.100-121, (2001).

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[4] R. P. Paul, Robot Manipulators-Mathematics, Programming and Control, MIT press, Cambridge, Mass., 1982. Fig. 1: Ray trace at a paraboloidal boundary surfaces Fig. 2: Comparison of paraboloidal and spherical boundary surfaces Fig. 3: The refracted angle � of spherical and paraboidal boundary surfaces Fig. 4: The sensitivity 1 0∂ ∂Pl z x of spherical and paraboidal boundary surfaces.

DOI: 10.4028/www.scientific.net/msf.505-507.613

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