scholarly journals Interference Pattern Representation on the Complex s-Plane

2020 ◽  
Author(s):  
José Trinidad Guillen Bonilla ◽  
Alex Guillen Bonilla ◽  
Mario Alberto García Ramírez ◽  
Gustavo Adolfo Vega Gómez ◽  
Héctor Guillen Bonilla ◽  
...  
Keyword(s):  
Interference Pattern ◽  
Complex Function ◽  
Optical Path Difference ◽  
Path Difference ◽  
Graphical Representations ◽  
Low Coherence ◽  
Sensing Systems ◽  
The Laplace Transform ◽  
Bode Diagram ◽  
Poles And Zeros

In this work, the normalized interference pattern produced by a coherence interferometer system was represented as a complex function. The Laplace transform was applied for the transformation. Poles and zeros were determined from this complex function, and then, its pole-zero map and its Bode diagram were proposed. Both graphical representations were implemented numerically. From our numerical results, pole location and zero location depend on the optical path difference (OPD), while the Bode diagram gives us information about the OPD parameter. Based on the results obtained from the graphical representations, the coherence interferometer systems, the low-coherence interferometer systems, the interferometric sensing systems, and the fiber optic sensors can be analyze on the complex s-plane.

Low Coherence Off-axis Digital Holography Based on Scanning the Optical Path Difference

2014 ◽  
Vol 43 (10) ◽  
pp. 1011001
Author(s):  
邓丽军 DENG Li-jun ◽  
杨勇 YANG Yong ◽  
石炳川 SHI Bing-chuan ◽  
马忠洪 MA Zhong-hong ◽  
盖琦 GE Qi ◽  
...  
Keyword(s):  
Digital Holography ◽  
Optical Path Difference ◽  
Path Difference ◽  
Optical Path ◽  
Low Coherence

Self-referenced method for optical path difference calibration in low-coherence interferometry

2003 ◽  
Vol 28 (24) ◽  
pp. 2476 ◽  
Author(s):  
M. Laubscher ◽  
L. Froehly ◽  
B. Karamata ◽  
R. P. Salathé ◽  
T. Lasser
Keyword(s):  
Optical Path Difference ◽  
Path Difference ◽  
Optical Path ◽  
Low Coherence ◽  
Low Coherence Interferometry

Study of Optical Coherence Theory in Measurement

2014 ◽  
Vol 568-570 ◽  
pp. 71-75
Author(s):  
Shuai Kang ◽  
Guang Yi Luo
Keyword(s):  
Interference Pattern ◽  
High Sensitivity ◽  
Optical Path Difference ◽  
Path Difference ◽  
Optical Coherence ◽  
Interference Effects ◽  
Light Interference ◽  
Light Waves ◽  
Uniform Medium ◽  
Transverse Electromagnetic

Light is a transverse electromagnetic wave, which has the volatility and particles. When light waves are added up in the spatial uniform medium, different conditions will produce interference effects in the meeting area. Optical path difference affects the distribution of the interference pattern directly, and the light interference pattern gives information of phase and amplitude in turn. Due to the measurement precision and extremely high sensitivity of response, the principle of optical coherence has been studied based on measuring the related physical quantity indirectly.

scholarly journals Low-Finesse Fabry–Pérot Interferometers Applied in the Study of the Relation between the Optical Path Difference and Poles Location

Sensors ◽  
2020 ◽  
Vol 20 (2) ◽  
pp. 453 ◽  
Author(s):  
José Trinidad Guillen Bonilla ◽  
Héctor Guillen Bonilla ◽  
Verónica María Rodríguez Betancourtt ◽  
María Eugenia Sánchez Morales ◽  
Juan Reyes Gómez ◽  
...  
Keyword(s):  
System Analysis ◽  
Cavity Length ◽  
Optical Path Difference ◽  
Path Difference ◽  
Optical Path ◽  
Fiber Sensors ◽  
Fabry Perot ◽  
The Laplace Transform ◽  
Frequency Components ◽  
The Fourier Transform

Interferometry sensors are frequently analyzed by applying the Fourier transform because the transformation separates all frequency components of its signal, making its study on a complex plane feasible. In this work, we study the relation between the optical path difference (OPD) and poles location theoretically and experimentally, using the Laplace transform and a pole-zero map. Theory and experiments are in concordance. For our study, only the cosine function was considered, which is filtered from the interference pattern. In experimental work, two unperturbed low-finesse Fabry–Pérot interferometers were used. First, a Fabry–Pérot interferometer that has a cavity length of ~ 1.6 mm was used. Its optical path difference was 2.33 mm and the poles were localized at points ± i 12 . rad/nm. Secondly, a Fabry–Pérot interferometer with a cavity length of ~ 5.2 mm was used, and its optical path difference was 7.59 mm and the poles were localized at points ± i 40.4 rad/nm. Experimental results confirmed the theoretical analysis. Our proposal finds practical application for interferometer analysis, signal processing of optical fiber sensors, communication system analysis, and multiplexing systems based on interferometers.

scholarly journals A theoretical-practical study on poles and zeros calculated from a filtered modulated function of an interference pattern

2021 ◽  
pp. 104534
Author(s):  
José Trinidad Guillen Bonilla ◽  
Alex Guillen Bonilla ◽  
Verónica María Rodríguez Betancourtt ◽  
Héctor Guillen Bonilla ◽  
Maricela Jiménez Rodríguez ◽  
...  
Keyword(s):  
Interference Pattern ◽  
Poles And Zeros

Peak-to-peak tracking method for measurement of optical path difference: Revisited

Optik ◽  
2015 ◽  
Vol 126 (24) ◽  
pp. 5420-5422
Author(s):  
H.H. Ley ◽  
A. Yahaya ◽  
Y. Munajat
Keyword(s):  
Optical Path Difference ◽  
Path Difference ◽  
Optical Path ◽  
Tracking Method ◽  
Peak Tracking

Optical-path-difference analysis and compensation for asymmetric binocular catadioptric vision measurement

Measurement ◽  
2017 ◽  
Vol 109 ◽  
pp. 233-241 ◽  
Author(s):  
Fuqiang Zhou ◽  
Xin Chen ◽  
Haishu Tan ◽  
Xinghua Chai
Keyword(s):  
Optical Path Difference ◽  
Path Difference ◽  
Optical Path ◽  
Difference Analysis ◽  
Vision Measurement

Optical T-Bench Method for Measurement of Optical Path Difference

1963 ◽  
Vol 1 (6) ◽  
Author(s):  
Francis E. Washer ◽  
Walter R. Darling
Keyword(s):  
Optical Path Difference ◽  
Path Difference ◽  
Optical Path

Thermo-Fluid Design Simulation of Nd3+ POCl3 Transverse Flow Liquid Laser Cavity

2021 ◽  
pp. 1-31
Author(s):  
Vinod Singh ◽  
Gaurav Singhal ◽  
Prabal Talukdar
Keyword(s):  
Refractive Index ◽  
Temperature Gradient ◽  
Flow Rate ◽  
Optical Pumping ◽  
Gain Medium ◽  
Optical Path Difference ◽  
Path Difference ◽  
Transverse Flow ◽  
Optical Path ◽  
Liquid Laser

Abstract CFD based thermal design of a transverse flow optical cavity is carried out for 1 kW Nd3+ POCl3 liquid laser source to investigate temperature and velocity distribution in the optical pumping region of the cavity. Temperature gradient and turbulence both affect the refractive index of the liquid gain medium, which results in optical path difference, divergence and hence, poorer quality of the laser beam. The main purpose of this design is to achieve uniform flow and least temperature gradient in the optical pumping region so that the optical path difference can be minimized and a good beam quality can be achieved. CFD model has been developed for carrying out thermo-fluid simulations for this thermal system and based on these simulations, an optimum geometry of inlet ports along with their position from optical pumping region have been proposed. A user defined function (UDF) is incorporated for the input of spatially varying heat source term in each cell of the optical pumping region of the cavity. Variations in refractive index and optical path difference are estimated from the temperature data using another UDF. Simulation reveals that mass flow rate between 1.5 kg/s to 2.0 kg/s maintains the optical homogeneity of gain medium. Preliminary experiments have been carried out to demonstrate the effect of flow rate on the beam divergence and thereby exhibiting the importance of present simulation work.

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