A theoretical-practical study on poles and zeros calculated from a filtered modulated function of an interference pattern
| Autor: | Héctor Guillen Bonilla, Verónica María Rodríguez Betancourtt, Maricela Jiménez Rodríguez, Antonio Casillas Zamora, María Eugenia Sánchez Morales, Alex Guillen Bonilla, José Trinidad Guillen Bonilla |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
Optical fiber Plane (geometry) business.industry QC1-999 General Physics and Astronomy Pole–zero plot Interference pattern law.invention Core (optical fiber) Interferometry Optics Position (vector) law Astronomical interferometer S-plane and Fabry-Pérot interferometer Spatial frequency Position of poles and zeros business |
| Zdroj: | Results in Physics, Vol 27, Iss, Pp 104534-(2021) |
| ISSN: | 2211-3797 |
| DOI: | 10.1016/j.rinp.2021.104534 |
| Popis: | In this work, it is reported that the interference pattern produced by an interferometer can be studied on the s-plane and its modulated function having three poles and two zeros over the imaginary axis. This is corroborated theoretically and experimentally using the interference pattern produced by a Fabry- Perot interferometer based on Bragg gratings printed on the core of an optical fiber. From our theoretical and experimental work, it is confirmed that the poles and zeros are on the imaginary axis of the s-complex plane and their positions depend on the spatial frequency of the interference pattern. This is graphically displayed on a pole-zero map. In the theoretical analysis, three poles are localized at position s 0 = 0 and s 1 , 2 = ± ω FP i while two zeros are localized at positions s 1 , 2 = ± ω FP 2 i . In our experiments, using the Fabry-Perot interferometer whose cavity length is L FP ≈ 1.58 m m , three poles are localized at position s 0 = 0 and s 1 , 2 = ± 11.93 i r a d / n m while two zeros are localized at positions s 1 , 2 = ± 11.93 2 i r a d / n m , confirming the theory. Our proposal finds practical application on signal demodulation for the interferometers and quasi-distributed sensor based on the interferometry. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|