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Microrheology with Optical Tweezers: Principles and Applications [Kietas viršelis]

Edited by (University of Glasgow, UK)
  • Formatas: Hardback, 328 pages, aukštis x plotis: 229x152 mm, weight: 610 g, 35 Illustrations, color; 60 Illustrations, black and white
  • Išleidimo metai: 08-Aug-2016
  • Leidėjas: Pan Stanford Publishing Pte Ltd
  • ISBN-10: 9814669180
  • ISBN-13: 9789814669184
Kitos knygos pagal šią temą:
  • Formatas: Hardback, 328 pages, aukštis x plotis: 229x152 mm, weight: 610 g, 35 Illustrations, color; 60 Illustrations, black and white
  • Išleidimo metai: 08-Aug-2016
  • Leidėjas: Pan Stanford Publishing Pte Ltd
  • ISBN-10: 9814669180
  • ISBN-13: 9789814669184
Kitos knygos pagal šią temą:

Thanks to the pioneering works of Ashkin and coworkers, optical tweezers (OTs) have become an invaluable tool for myriad studies throughout the natural sciences. Their success relies on the fact that they can be considered as exceptionally sensitive transducers that are able to resolve pN forces and nm displacements, with high temporal resolution, down to µs. Hence their application to study a wide range of biological phenomena such as measuring the compliance of bacterial tails, the forces exerted by a single motor protein, and the mechanical properties of human red blood cells and of individual biological molecules. The number of articles related to them totals to a whopping 58,000 (source Google Scholar)!

Microrheology is a branch of rheology, but it works at micrometer length scales and with microliter sample volumes. Therefore, microrheology techniques have been revealed to be very useful tools for all those rheological/mechanical studies where rare or precious materials are employed, such as in biological and biomedical studies.

The aim of this book is to provide a pedagogical introduction to the physics principles governing both the optical tweezers and their application in the field of microrheology of complex materials. This is achieved by following a linear path that starts from a narrative introduction of the "nature of light," followed by a rigorous description of the fundamental equations governing the propagation of light through matter. Moreover, some of the many possible instrumental configurations are presented, especially those that better adapt to perform microrheology measurements. In order to better appreciate the microrheological methods with optical tweezers explored in this book, informative introductions to the basic concepts of linear rheology, statistical mechanics, and the most popular microrheology techniques are also given. Furthermore, an enlightening prologue to the general applications of optical tweezers different from rheological purposes is provided at the end of the book.

Foreword xiii
Editor's Preface xv
Part I Introduction
1 General Introduction to Optical Tweezers and Their Applications
3(6)
Manlio Tassieri
1.1 Introduction
3(6)
Part II Optical Tweezers
2 The Nature of Light
9(32)
R. Mike
L. Evans
2.1 A Condensed History of Optics
9(5)
2.2 Wave Physics
14(5)
2.3 Electromagnetism
19(13)
2.3.1 Fields
20(1)
2.3.2 Coulomb's Law and Gauss's Law
20(4)
2.3.3 Faraday's Law
24(2)
2.3.4 Ampere's Law and Displacement Current
26(3)
2.3.5 Electromagnetism and Light
29(3)
2.4 Interaction of Light with Matter
32(3)
2.5 Interaction of Light with Metals
35(2)
2.6 Photons and Lasers
37(4)
3 Geometrical Optics
41(40)
Alison Yao
3.1 Introduction
41(1)
3.2 Maxwell's Equations
42(2)
3.3 From Maxwell's Equations to the Wave Equation
44(4)
3.3.1 Wave Equations in a Vacuum
44(4)
3.4 Solutions to the Wave Equation
48(5)
3.4.1 Plane Wave Solutions
48(1)
3.4.2 Properties of Plane Wave Solutions
49(1)
3.4.3 Polarization
50(2)
3.4.4 Wave Equations in a Dielectric (Non-Conducting) Medium
52(1)
3.5 Reflection and Transmission at an Interface
53(14)
3.5.1 Normal Incidence
55(4)
3.5.2 Oblique Incidence
59(1)
3.5.2.1 Magnitudes of the transmitted and reflected fields
61(1)
3.5.2.2 E Perpendicular to plane of incidence
61(1)
3.5.2.3 E Parallel to plane of incidence
64(1)
3.5.2.4 Brewster's angle and total internal reflection
66(1)
3.6 Beam Solutions to the Wave Equation
67(14)
3.6.1 Gaussian Beam Solutions
68(7)
3.6.2 Higher-Order Solutions
75(6)
4 Optical Forces
81(22)
Michael P. Lee
David B. Phillips
4.1 Introduction
81(3)
4.2 Gradient Forces
84(1)
4.3 Ray Optics Description of Optical Tweezers
85(9)
4.4 The Electric Dipole Description of Optical Tweezers
94(3)
4.5 Generalized Lorenz-Mie Theory and Numerical Simulation
97(1)
4.6 Optical Torques
98(2)
4.7 Conclusions
100(3)
5 Optical Tweezers Configurations
103(34)
Graham M. Gibson
5.1 Introduction
103(2)
5.2 Different Lasers Wave-Lengths for Different Applications
105(2)
5.3 Objectives
107(1)
5.4 Sample Holders
108(1)
5.5 Controlling the Trap Position
109(11)
5.5.1 Steering Mirrors (Motorised)
110(2)
5.5.2 Acousto-Optic Deflectors
112(1)
5.5.3 Spatial Light Modulators
112(3)
5.5.4 Hologram Calculation
115(1)
5.5.4.1 Gerchberg Saxton
115(1)
5.5.4.2 Gratings and lenses
116(4)
5.6 Measuring Position and Force
120(13)
5.6.1 Quadrant Photodiodes
121(2)
5.6.2 Digital Video Cameras
123(2)
5.6.3 Calibration Using Stokes' Drag Method
125(2)
5.6.4 Calibration Using Equipartition Theorem
127(1)
5.6.5 Calibration Using Power Spectrum Analysis
127(1)
5.6.6 Measuring the Accuracy of Particle Position and Force in Optical Tweezers
128(3)
5.6.7 Stereoscopic Particle Tracking
131(2)
5.7 Conclusions
133(4)
Part III Microrheology
6 Introduction to Linear Rheology
137(18)
Manlio Tassieri
6.1 Introduction
137(2)
6.2 Linear Rheology for Simple Shear
139(6)
6.3 Simple Mechanical Models of Linear Viscoelastic Behaviour
145(10)
7 Statistical Mechanics and Diffusion Processes
155(38)
Adrian Baule
7.1 Introduction
155(1)
7.2 Diffusion Processes
156(18)
7.2.1 Velocity of a Brownian Particle
158(4)
7.2.2 Particle Position
162(2)
7.2.3 Correlations and Response
164(1)
7.2.3.1 Response functions
167(2)
7.2.4 Simulation of Langevin Equations
169(1)
7.2.4.1 Error estimation
171(1)
7.2.4.2 Determining the probability density function
173(1)
7.3 Probability Density Functions
174(7)
7.3.1 Ito's Formula and the Fokker-Planck Equation
174(3)
7.3.2 Ornstein-Uhlenbeck Process
177(2)
7.3.3 The Multivariate Case
179(2)
7.4 The Overdamped Limit
181(6)
7.4.1 Escape from a Metastable Potential
184(3)
7.5 Microrheology and the Generalized Langevin Equation
187(6)
7.5.1 Measuring Viscosity in Newtonian Fluids
188(1)
7.5.2 Viscoelasticity
189(4)
8 Most Popular Microrheology Techniques
193(26)
Aristeidis Papagiannopoulos
8.1 Introduction
193(1)
8.2 Theoretical Background of Microrheology
194(6)
8.3 Video Particle Tracking Microrheology
200(9)
8.4 Microrheology with Single Light Scattering
209(2)
8.5 Microrheology with Diffusing Wave Spectroscopy
211(3)
8.6 Microrheology with Magnetic Tweezers
214(5)
9 Microrheology with Optical Tweezers
219(40)
Manlio Tassieri
9.1 Introduction
219(1)
9.2 Optical Tweezers Calibration
220(3)
9.2.1 Spatial Calibration
221(1)
9.2.2 Elastic Constant Calibration
222(1)
9.3 Microrheology with Static Optical Tweezers
223(12)
9.3.1 Solving a Generalised Langevin Equation for Static OT
223(5)
9.3.2 Data Analysis
228(1)
9.3.2.1 Interpolation artefacts
228(1)
9.3.2.2 Noise
232(3)
9.4 Active Microrheology with Optical Tweezers
235(14)
9.4.1 Entraining Flow Field
236(7)
9.4.2 Flipping Bead
243(6)
9.5 A Rheological Interpretation of Optical Tweezers
249(10)
Part IV Review On Optical Tweezers Applications
10 Optical Tweezers Outwith Microrheology
259(16)
Richard W. Bowman
10.1 Introduction
259(1)
10.2 Optical Momentum
260(3)
10.3 Statistical Mechanics
263(3)
10.4 Optical Binding
266(1)
10.5 Counterpropagating Traps
267(1)
10.6 Single Molecule Studies
268(2)
10.7 Scanning Probe Microscopy
270(2)
10.8 Vacuum Trapping and Cooling
272(1)
10.9 Conclusions
273(2)
Appendix: Evaluating the Fourier Transform 275(8)
R. Mike
L. Evans
A.1 Introduction
275(2)
A.2 Transforming from Time to Frequency with Minimal Artefacts
277(6)
References 283(22)
Index 305
Manlio Tassieri is a lecturer within the Division of Biomedical Engineering at the University of Glasgow. He is a council member of the British Society of Rheology. Graduating as a chemical engineer from the Department of Chemical Engineering, the University of Naples "Federico II", in 2000, he developed two novel rheo-optical methods for determining interfacial tension in disperse polymer blends. In 2003 he decided to follow his aspiration to become an academic researcher. To do this, he embarked on research in the field of microrheology of semiflexible biopolymers at the School of Physics and Astronomy of the University of Leeds, from where he graduated with a PhD in 2007. Following his PhD, he held a postdoctoral research position in the Polymer Science and Technology IRC at the University of Leeds, collaborating in the Microscale Polymer Processing project. In 2010 he was awarded a Royal Academy of Engineering Research Fellowship to combine microrheological techniques with microfluidic devices. Dr Tassieri has contributed to the field of microrheology with a number of research articles published in reputed journals.