TY - GEN
T1 - Error analysis of ray's light path for axis-symmetrical optical system by using skew ray tracing
AU - Liao, Te Tan
AU - Chen, Chun Ta
AU - Kung, Chieh
AU - Lin, Psang Dain
PY - 2013
Y1 - 2013
N2 - This study applies a skew ray tracing approach based on a 4×4 homogeneous coordinate transformation matrix and Snell's law to analyze the errors of a ray's light path as it passes through a series of optical elements for axis-symmetrical optical system. The proposed error analysis methodology considers two principal sources of light path error, namely: (1) the translational errors Δxi, Δyi and Δzi and the rotational errors Δωix, Δωiy and Δωiz, which determine the deviation of the light path at each boundary surface, and (2) the differential changes induced in the incident point position and unit directional vector of the refracted / reflected ray as a result of differential changes in the position and unit directional vector of the light source. The validity of the proposed methodology is verified by analyzing the effects of optical errors in Petzval lens.
AB - This study applies a skew ray tracing approach based on a 4×4 homogeneous coordinate transformation matrix and Snell's law to analyze the errors of a ray's light path as it passes through a series of optical elements for axis-symmetrical optical system. The proposed error analysis methodology considers two principal sources of light path error, namely: (1) the translational errors Δxi, Δyi and Δzi and the rotational errors Δωix, Δωiy and Δωiz, which determine the deviation of the light path at each boundary surface, and (2) the differential changes induced in the incident point position and unit directional vector of the refracted / reflected ray as a result of differential changes in the position and unit directional vector of the light source. The validity of the proposed methodology is verified by analyzing the effects of optical errors in Petzval lens.
KW - Error analysis
KW - Homogeneous coordinate transformation matrix
KW - Skew ray tracing
UR - http://www.scopus.com/inward/record.url?scp=84873936049&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84873936049&partnerID=8YFLogxK
U2 - 10.4028/www.scientific.net/AMM.284-287.2741
DO - 10.4028/www.scientific.net/AMM.284-287.2741
M3 - Conference contribution
AN - SCOPUS:84873936049
SN - 9783037856123
T3 - Applied Mechanics and Materials
SP - 2741
EP - 2745
BT - Innovation for Applied Science and Technology
PB - Trans Tech Publications Ltd
T2 - 2nd International Conference on Engineering and Technology Innovation 2012, ICETI 2012
Y2 - 2 November 2012 through 6 November 2012
ER -