Fresnel Gaussian shape invariant applied to optical diffraction grating calculation

2021 ◽  
Vol 480 ◽  
pp. 126479
Author(s):  
Moisés Cywiak ◽  
David Cywiak ◽  
Joel Cervantes-L
2005 ◽  
Vol 295-296 ◽  
pp. 189-194 ◽  
Author(s):  
G.H. Wu ◽  
Z.J. Cai ◽  
Li Jiang Zeng

A two-color heterodyne interferometer based on the movement of the optical diffraction grating is proposed. The method allows us to measure the phase of synthetic wavelength f s directly and with high accuracy to extend the range of unambiguity for interferometric measurements by using two close wavelengths. Our experiment results show that the uncertainty in displacement measurement caused by the uncertainty in f s is 0.20 µm, smaller than the half of a single wavelength we used. The fringe order of a single wavelength can be determined without ambiguity. The uncertainty in displacement measurement can be improved further by using a single wavelength.


1997 ◽  
Vol 144 (4) ◽  
pp. 221-227 ◽  
Author(s):  
J.R. James ◽  
I. Abd-Eldayem

2009 ◽  
Vol 17 (13) ◽  
pp. 10564 ◽  
Author(s):  
Moisés Cywiak ◽  
A. Morales ◽  
J. M. Flores ◽  
Manuel Servín

1991 ◽  
Vol 37 (9) ◽  
pp. 1502-1505 ◽  
Author(s):  
Y G Tsay ◽  
C I Lin ◽  
J Lee ◽  
E K Gustafson ◽  
R Appelqvist ◽  
...  

Abstract We describe a new biosensor immunoassay involving optical diffraction to detect clinically important analytes in human body fluids. A silicon wafer is used as a support for immobilization of antigen or antibody. The protein-coated surface is illuminated through a photo mask to create distinct periodic areas of active and inactive protein. When the surface is incubated with a positive sample, antigen-antibody binding occurs only on the active areas. Upon illumination with a light source such as a laser, the resulting biological diffraction grating diffracts the light. A negative sample does not result in diffraction because no antigen-antibody binding occurs to create the diffraction grating. The presence or absence of a diffraction signal differentiates between positive and negative samples, and the intensity of the signal provides a quantitative measure of the analyte concentration. The technique is demonstrated with a quantitative assay of choriogonadotropin in serum.


2003 ◽  
Vol 762 ◽  
Author(s):  
M. Mulato ◽  
A. R. Zanatta ◽  
D. Toet ◽  
I. E. Chambouleyron

AbstractIn this work, we study the pulsed laser crystallization of hydrogen-free amorphous germanium-nitrogen alloys (a-GeN). We discuss the role of nitrogen during phase transitions and the possible application of the resulting structure as an optical diffraction grating. The crystallized region results of pure microcrystalline germanium (μc-Ge). An indication that Ge-N bonds have broken and nitrogen outdiffused of the film is obtained from infrared spectroscopy and confirmed by Raman spectra. A pattern of alternating a-GeN and μc-Ge lines with a period of about 4 μm acts as an optical diffraction grating due to the difference in optical properties between the two materials, and the three dimensional surface profile, caused by N2 effusion, that is formed on the sample.


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