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Proceedings Paper • Open Access

Effect of finite beam size on the spatial and spectral response of a Fabry-Perot interferometer
Author(s): Ibon Aramburu; Mikel Lujua; Gotzon Madariaga; María Asunción Illarramendi; Joseba Zubia

Paper Abstract

Fabry-Perot (F-P) interferometers are commonly studied in undergraduate textbooks. Their spectral transmittance profiles are usually analyzed assuming that a plane wave is incident on the interferometer. This wave undergoes multiple reflections on the interferometer surfaces, and the interference of all these waves leads to the typical resonance structure of the spectral transmittance profile described by the Airy formula. However Fabry-Perot interferometers are commonly used in conjunction with laser beams, for example when they are used as intracavity-wavelength and longitudinal mode-selecting etalons. Although it is evident that the finite size of the beam will produce a deterioration of the filtering characteristics of the F-P interferometer, this effect is not usually analyzed in undergraduate textbooks. The aim of this work is to show students how the finite size of the incident beam influences the spatial and spectral response of the F-P interferometer. In particular it will be shown that the spectral response of the F-P interferometer can significantly differ from that predicted by the Airy formula. The theoretical approach is based on a plane-wave angular spectrum representation of the incident, transmitted, and reflected beams. The incident beam is assumed to be gaussian and the cases of normal and oblique incidence are discussed.

Paper Details

Date Published: 16 August 2017
PDF: 14 pages
Proc. SPIE 10452, 14th Conference on Education and Training in Optics and Photonics: ETOP 2017, 104524E (16 August 2017); doi: 10.1117/12.2266855
Show Author Affiliations
Ibon Aramburu, Univ. of the Basque Country (Spain)
Mikel Lujua, Univ. of the Basque Country (Spain)
Gotzon Madariaga, Univ. of the Basque Country (Spain)
María Asunción Illarramendi, Univ. of the Basque Country (Spain)
Joseba Zubia, Univ. of the Basque Country (Spain)


Published in SPIE Proceedings Vol. 10452:
14th Conference on Education and Training in Optics and Photonics: ETOP 2017
Xu Liu; Xi-Cheng Zhang, Editor(s)

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