TY - GEN

T1 - Insights into the behavior of certain optical systems gleaned from Feynman's approach to quantum electrodynamics

AU - Mansuripur, Masud

N1 - Publisher Copyright:
© 2022 SPIE.

PY - 2022

Y1 - 2022

N2 - Richard Feynman's method of path integrals is based on the fundamental assumption that a system starting at a point A and arriving at a point B takes all possible paths from A to B, with each path contributing its own (complex) probability amplitude. The sum of the amplitudes over all these paths then yields the overall probability amplitude that the system starting at A would end up at B. We apply Feynman's method to several optical systems of practical interest and discuss the nuances of the method as well as instances where the predicted outcomes agree or disagree with those of classical optical theory. Examples include the properties of beam-splitters, passage of single photons through Mach-Zehnder and Sagnac interferometers, electric and magnetic dipole scattering, reciprocity, time-reversal symmetry, the optical theorem, the Ewald-Oseen extinction theorem, far field diffraction, and the two-photon interference phenomenon known as the Hong-Ou-Mandel effect.

AB - Richard Feynman's method of path integrals is based on the fundamental assumption that a system starting at a point A and arriving at a point B takes all possible paths from A to B, with each path contributing its own (complex) probability amplitude. The sum of the amplitudes over all these paths then yields the overall probability amplitude that the system starting at A would end up at B. We apply Feynman's method to several optical systems of practical interest and discuss the nuances of the method as well as instances where the predicted outcomes agree or disagree with those of classical optical theory. Examples include the properties of beam-splitters, passage of single photons through Mach-Zehnder and Sagnac interferometers, electric and magnetic dipole scattering, reciprocity, time-reversal symmetry, the optical theorem, the Ewald-Oseen extinction theorem, far field diffraction, and the two-photon interference phenomenon known as the Hong-Ou-Mandel effect.

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U2 - 10.1117/12.2632902

DO - 10.1117/12.2632902

M3 - Conference contribution

AN - SCOPUS:85140887804

T3 - Proceedings of SPIE - The International Society for Optical Engineering

BT - Plasmonics

A2 - Tsai, Din Ping

A2 - Tanaka, Takuo

A2 - Lu, Yu-Jung

PB - SPIE

T2 - Plasmonics: Design, Materials, Fabrication, Characterization, and Applications XX 2022

Y2 - 21 August 2022 through 25 August 2022

ER -