TY - JOUR
T1 - How do phase-shifting algorithms work?
AU - Juarez-Salazar, Rigoberto
AU - Mendoza-Rodriguez, Ceciibet
AU - Hernandez-Beltran, Jose E.
AU - Robledo-Sanchez, Carlos
N1 - Publisher Copyright:
© 2018 European Physical Society.
PY - 2018/10/18
Y1 - 2018/10/18
N2 - Interference is an important phenomenon that plays a key role in understanding the properties of light. However, novice students have difficulties with optical interference experiments because fringe-pattern processing algorithms are not a topic of optics courses. The difficulty increases taking into account that the phase shift is usually induced manually and advanced phase-shifting algorithms must be applied. In this paper, the fundamental principles behind seven well-established phase-shifting algorithms are presented. First, five basic algorithms are analyzed: the three-, four-, and n-steps as well as two least-squares algorithms. Then, the advanced iterative algorithm and the generalized phase-shifting are studied. The operation of the algorithms is illustrated by a typical experiment on the Michelson interferometer. This work could be useful as an introductory lesson to the optics laboratory.
AB - Interference is an important phenomenon that plays a key role in understanding the properties of light. However, novice students have difficulties with optical interference experiments because fringe-pattern processing algorithms are not a topic of optics courses. The difficulty increases taking into account that the phase shift is usually induced manually and advanced phase-shifting algorithms must be applied. In this paper, the fundamental principles behind seven well-established phase-shifting algorithms are presented. First, five basic algorithms are analyzed: the three-, four-, and n-steps as well as two least-squares algorithms. Then, the advanced iterative algorithm and the generalized phase-shifting are studied. The operation of the algorithms is illustrated by a typical experiment on the Michelson interferometer. This work could be useful as an introductory lesson to the optics laboratory.
KW - Michelson interferometer
KW - fringe-pattern
KW - interference
KW - phase-shifting
UR - http://www.scopus.com/inward/record.url?scp=85055646471&partnerID=8YFLogxK
U2 - 10.1088/1361-6404/aae3c2
DO - 10.1088/1361-6404/aae3c2
M3 - Artículo
SN - 0143-0807
VL - 39
JO - European Journal of Physics
JF - European Journal of Physics
IS - 6
M1 - 065302
ER -