TY - JOUR
T1 - Huygens principle
T2 - Exact and approximate wavefronts propagated through conic lenses
AU - Avendaño-Alejo, Maximino
AU - Carmen López-Bautista, M.
AU - Castañeda, Luis
AU - Maca-Garcia, Samuel
N1 - Publisher Copyright:
© 2019 Optical Society of America.
PY - 2019/2/1
Y1 - 2019/2/1
N2 - Exact and approximate formulae for refracted wavefronts through singlet lenses are obtained by considering an incident plane wavefront propagating along the optical axis. We provide two different approaches for the wavefronts approximated at the second order based on the Huygens principle and the Malus–Dupin theorem. We have in the first method found a way to use iterative wavelets instead of the usual evaluated integral to arrive at these formulae, showing a physical and mathematical correspondence between both methods. Finally, we introduce a parabolic wavefront into the irradiance transport equation in order to provide an analytical solution for the distribution of illumination.
AB - Exact and approximate formulae for refracted wavefronts through singlet lenses are obtained by considering an incident plane wavefront propagating along the optical axis. We provide two different approaches for the wavefronts approximated at the second order based on the Huygens principle and the Malus–Dupin theorem. We have in the first method found a way to use iterative wavelets instead of the usual evaluated integral to arrive at these formulae, showing a physical and mathematical correspondence between both methods. Finally, we introduce a parabolic wavefront into the irradiance transport equation in order to provide an analytical solution for the distribution of illumination.
UR - http://www.scopus.com/inward/record.url?scp=85060957687&partnerID=8YFLogxK
U2 - 10.1364/AO.58.000939
DO - 10.1364/AO.58.000939
M3 - Artículo
C2 - 30874139
SN - 1559-128X
VL - 58
SP - 939
EP - 947
JO - Applied Optics
JF - Applied Optics
IS - 4
ER -