TY - JOUR
T1 - Analytic aspheric coefficients to reduce the spherical aberration of lens elements used in collimated light
AU - Castillo-Santiago, Gabriel
AU - Avendaño-Alejo, Maximino
AU - Díaz-Uribe, Rufino
AU - Castañeda, Luis
N1 - Publisher Copyright:
© 2014 Optical Society of America.
PY - 2014/8/1
Y1 - 2014/8/1
N2 - We provide closed-form formulas for aspheric terms for either plano-convex or convex-plano aspheric lenses as functions of the paraxial parameters involved in the process of refraction. These formulas are obtained through an expansion in Taylor's series from the exact caustic equation produced by aspheric lenses considering a plane wavefront propagating parallel to the optical axis and impinging on the refracting surface. A comparison of the aspheric coefficients obtained through our analytic formulas and commercial optical design software is presented, showing good agreement. This is useful in reducing spherical aberration.
AB - We provide closed-form formulas for aspheric terms for either plano-convex or convex-plano aspheric lenses as functions of the paraxial parameters involved in the process of refraction. These formulas are obtained through an expansion in Taylor's series from the exact caustic equation produced by aspheric lenses considering a plane wavefront propagating parallel to the optical axis and impinging on the refracting surface. A comparison of the aspheric coefficients obtained through our analytic formulas and commercial optical design software is presented, showing good agreement. This is useful in reducing spherical aberration.
UR - http://www.scopus.com/inward/record.url?scp=84942365569&partnerID=8YFLogxK
U2 - 10.1364/AO.53.004939
DO - 10.1364/AO.53.004939
M3 - Artículo
SN - 1559-128X
SP - 4939
EP - 4946
JO - Applied Optics
JF - Applied Optics
IS - 22
ER -