Estimating orientation of optically trapped, near vertical, microsphere dimers using central moments and off-focus imaging

2021 ◽  
Author(s):  
Allan Raudsepp ◽  
Geoffrey Jameson ◽  
Bill Williams
Keyword(s):  
Central Moments ◽  
Optically Trapped

scholarly journals Fully degenerate Bell polynomials associated with degenerate Poisson random variables

2021 ◽  
Vol 19 (1) ◽  
pp. 284-296
Author(s):  
Hye Kyung Kim
Keyword(s):  
Random Variables ◽  
Random Variable ◽  
Combinatorial Identities ◽  
Bell Polynomials ◽  
Poisson Random Variable ◽  
Central Moments ◽  
Special Polynomials ◽  
Special Numbers And Polynomials ◽  
New Type ◽  
Two Parameters

Abstract Many mathematicians have studied degenerate versions of quite a few special polynomials and numbers since Carlitz’s work (Utilitas Math. 15 (1979), 51–88). Recently, Kim et al. studied the degenerate gamma random variables, discrete degenerate random variables and two-variable degenerate Bell polynomials associated with Poisson degenerate central moments, etc. This paper is divided into two parts. In the first part, we introduce a new type of degenerate Bell polynomials associated with degenerate Poisson random variables with parameter α > 0 \alpha \hspace{-0.15em}\gt \hspace{-0.15em}0 , called the fully degenerate Bell polynomials. We derive some combinatorial identities for the fully degenerate Bell polynomials related to the n n th moment of the degenerate Poisson random variable, special numbers and polynomials. In the second part, we consider the fully degenerate Bell polynomials associated with degenerate Poisson random variables with two parameters α > 0 \alpha \gt 0 and β > 0 \beta \hspace{-0.15em}\gt \hspace{-0.15em}0 , called the two-variable fully degenerate Bell polynomials. We show their connection with the degenerate Poisson central moments, special numbers and polynomials.

Spectroscopy and isotope shifts of the4s3d1D2–4s5p1P1repumping transition in magneto-optically trapped calcium atoms

2010 ◽  
Vol 81 (2) ◽  
Author(s):  
U. Dammalapati ◽  
I. Norris ◽  
C. Burrows ◽  
A. S. Arnold ◽  
E. Riis
Keyword(s):  
Isotope Shifts ◽  
Optically Trapped

Surface imaging beyond the diffraction limit with optically trapped spheres

2015 ◽  
Vol 10 (12) ◽  
pp. 1064-1069 ◽  
Author(s):  
Lars Friedrich ◽  
Alexander Rohrbach
Keyword(s):  
Diffraction Limit ◽  
Surface Imaging ◽  
Optically Trapped

Monitoring of laser micromanipulated optically trapped cells by digital holographic microscopy

2010 ◽  
Vol 3 (7) ◽  
pp. 425-431 ◽  
Author(s):  
Björn Kemper ◽  
Patrik Langehanenberg ◽  
Alexander Höink ◽  
Gert von Bally ◽  
Falk Wottowah ◽  
...  
Keyword(s):  
Digital Holographic Microscopy ◽  
Holographic Microscopy ◽  
Optically Trapped

scholarly journals Rotational Dynamics of Optically Trapped Human Spermatozoa

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Elavarasan Subramani ◽  
Himanish Basu ◽  
Shyam Thangaraju ◽  
Sucheta Dandekar ◽  
Deepak Mathur ◽  
...  
Keyword(s):  
Near Infrared ◽  
Beat Frequency ◽  
Translational Motion ◽  
Rotational Dynamics ◽  
Sperm Cells ◽  
Integrated Optical ◽  
Fertility Potential ◽  
Live Sperm ◽  
Fertilization Capacity ◽  
Optically Trapped

Introduction. Optical trapping is a laser-based method for probing the physiological and mechanical properties of cells in a noninvasive manner. As sperm motility is an important criterion for assessing the male fertility potential, this technique is used to study sperm cell motility behavior and rotational dynamics.Methods and Patients. An integrated optical system with near-infrared laser beam has been used to analyze rotational dynamics of live sperm cells from oligozoospermic and asthenozoospermic cases and compared with controls.Results. The linear, translational motion of the sperm is converted into rotational motion on being optically trapped, without causing any adverse effect on spermatozoa. The rotational speed of sperm cells from infertile men is observed to be significantly less as compared to controls.Conclusions. Distinguishing normal and abnormal sperm cells on the basis of beat frequency above 5.6 Hz may be an important step in modern reproductive biology to sort and select good quality spermatozoa. The application of laser-assisted technique in biology has the potential to be a valuable tool for assessment of sperm fertilization capacity for improving assisted reproductive technology.

scholarly journals Parameter exploration of optically trapped liquid aerosols

2010 ◽  
Vol 82 (5) ◽  
Author(s):  
D. R. Burnham ◽  
P. J. Reece ◽  
D. McGloin
Keyword(s):  
Optically Trapped
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