Twisted Photons: Applications of Light with Orbital Angular Momentum [NOOK Book]


This book deals with applications in several areas of science and technology that make use of light which carries orbital angular momentum. In most practical scenarios, the angular momentum can be decomposed into two independent contributions: the spin angular momentum and the orbital angular momentum. The orbital contribution affords a fundamentally new degree of freedom, with fascinating and wide-spread applications. Unlike spin angular momentum, which is associated with the polarization of light, the orbital ...
See more details below
Twisted Photons: Applications of Light with Orbital Angular Momentum

Available on NOOK devices and apps  
  • NOOK Devices
  • Samsung Galaxy Tab 4 NOOK 7.0
  • Samsung Galaxy Tab 4 NOOK 10.1
  • NOOK HD Tablet
  • NOOK HD+ Tablet
  • NOOK eReaders
  • NOOK Color
  • NOOK Tablet
  • Tablet/Phone
  • NOOK for Windows 8 Tablet
  • NOOK for iOS
  • NOOK for Android
  • NOOK Kids for iPad
  • PC/Mac
  • NOOK for Windows 8
  • NOOK for PC
  • NOOK for Mac
  • NOOK for Web

Want a NOOK? Explore Now

NOOK Book (eBook)
$111.49 price
(Save 42%)$195.00 List Price
Note: This NOOK Book can be purchased in bulk. Please email us for more information.


This book deals with applications in several areas of science and technology that make use of light which carries orbital angular momentum. In most practical scenarios, the angular momentum can be decomposed into two independent contributions: the spin angular momentum and the orbital angular momentum. The orbital contribution affords a fundamentally new degree of freedom, with fascinating and wide-spread applications. Unlike spin angular momentum, which is associated with the polarization of light, the orbital angular momentum arises as a consequence of the spatial distribution of the intensity and phase of an optical field, even down to the single photon limit. Researchers have begun to appreciate its implications for our understanding of the ways in which light and matter can interact, and its practical potential in different areas of science and technology.
Read More Show Less

Editorial Reviews

From the Publisher
"Overall, this volume provides a convenient entry into a fieldwhich has achieved much but which also has considerable scope for further growth. If one wishes to play arole in the future of orbital angular momentum then this is an excellent place to start." (ContemporaryPhysics Book Reviews, 25 August 2011)
Read More Show Less

Product Details

  • ISBN-13: 9783527635375
  • Publisher: Wiley
  • Publication date: 3/31/2011
  • Sold by: Barnes & Noble
  • Format: eBook
  • Edition number: 1
  • Pages: 288
  • File size: 11 MB
  • Note: This product may take a few minutes to download.

Meet the Author

Juan P. Torres is one of the group leaders of ICFO-TheInstitute of Photonic Sciences in Barcelona, Spain, where heconducts research in nonlinear and quantum optics. He also holds aposition as associate professor at the Technical University ofCatalonia where he teaches in photonics and electrical engineering.Professor Torres obtained his PhD in Science from the TechnicalUniversity of Catalonia and afterwards held a post-doctoralposition at the University of California at Berkeley. He hasauthored about 100 articles and received an award for younginvestigators from the Government of Catalonia in 2002.

Lluis Torner is the founding Director of ICFO-The Instituteof Photonic Sciences in Barcelona, Spain, and professor ofphotonics at the Technical University of Catalonia. He conductsresearch and innovation in photonics, with emphasis on fundamentalsand applications of nonlinear optics, optical vortices and opticalsolitons. He has co-authored more than 300 articles inscientific journals. He is a Fellow of the Optical Society ofAmerica, the European Optical Society and the European PhysicalSociety, and he currently serves as President of the Association ofResearch Institutions of Catalonia.

Read More Show Less

Table of Contents

Preface XI

List of Contributors XV

Color Plates XIX

1 The Orbital Angular Momentum of Light: An Introduction1
Les Allen and Miles Padgett

1.1 Introduction 1

1.2 The Phenomenology of Orbital Angular Momentum 4

References 9

2 Vortex Flow of Light: ‘‘Spin’’ and‘‘Orbital’’ Flows in a Circularly PolarizedParaxial Beam 13
Aleksandr Bekshaev and Mikhail Vasnetsov

2.1 Introduction 13

2.2 Spin and Orbital Flows: General Concepts 14

2.3 Transverse Energy Flows in Circularly Polarized ParaxialBeams 15

2.4 Orbital Rotation without Orbital Angular Momentum 21

2.5 Conclusion 22

References 23

3 Helically Phased Beams, and Analogies with Polarization25
Miles Padgett

3.1 Introduction 25

3.2 Representation of Helically Phased Beams 26

3.3 Exploiting the Analogous Representations of Spin and OrbitalAngular Momentum 27

3.3.1 Rotational Doppler Shifts and Geometrical Phase 27

3.3.2 Mode Sorting using Geometric Phase 29

3.3.3 Entanglement of Spatial Modes 30

3.3.4 Photon Drag and the Mechanical Faraday Effect 32

3.4 Conclusions 33

References 34

4 Trapping and Rotation of Particles in Light Fields withEmbedded Optical Vortices 37
Michael Mazilu and Kishan Dholakia

4.1 Introduction 37

4.2 Laguerre–Gaussian Light Beams 38

4.3 Origin of Optical Torques and Forces 41

4.3.1 Intuitive Picture of Optical Forces 41

4.3.2 Angular Momentum within Geometric Optics 43

4.3.3 Paraxial Beams 44

4.3.4 Maxwell’s Stress Tensor 45

4.3.5 Linear Momentum Transfer 49

4.3.6 Angular Momentum Transfer 50

4.3.7 Polarization Spin Momentum 50

4.4 Optical Vortex Fields for the Rotation of Trapped Particles51

4.4.1 Studies of Rotation of Trapped Objects using OpticalVortex Fields 51

4.5 Optical Vortex Fields for Advanced Optical Manipulation57

4.6 Conclusions 61

Acknowledgments 62

References 62

5 Optical Torques in Liquid Crystals 67
Enrico Santamato and Bruno Piccirillo

5.1 The Optical Reorientation and the Photon Angular MomentumFlux 70

5.1.1 Dynamical Equations of Liquid Crystals 71

5.1.2 Angular Momentum Fluxes 73

5.2 Dynamical Effects Induced in Liquid Crystals by Photon SAMand OAM Transfer 78

5.2.1 Experiments on OAM Transfer in Liquid Crystals 81 Orbital Photon Angular Momentum Transfer withUnpolarized Light 83 Investigation of the Combined Effect of the Spin andOrbital Photon Angular Momentum Transfer with Linearly PolarizedLight 83 Investigation of the Combined Effect of the Spin andOrbital Photon Angular Momentum Transfer with Circularly PolarizedLight 85

5.3 Conclusions 89

References 90

6 Driving Optical Micromachines with Orbital Angular Momentum93
Vincent L.Y. Loke, Theodor Asavei, Simon Parkin, Norman R.Heckenberg, Halina Rubinsztein-Dunlop, and Timo A. Nieminen

6.1 Introduction 93

6.2 Symmetry, Scattering, and Optically Driven Micromachines93

6.3 Experimental Demonstration 96

6.3.1 A Preliminary Design 96

6.3.2 Fabrication 97

6.3.3 Optical Trapping and Rotation 97

6.3.4 Optical Measurement of Torque 98

6.3.5 Discussion 100

6.4 Computational Optimization of Design 102

6.4.1 Computational Modeling of Microrotors 102

6.4.2 Performance of a Four-Armed Rotor 105

6.4.3 Discussion 111

6.5 Conclusion 113

References 113

7 Rotational Optical Micromanipulation with Specific ShapesBuilt by Photopolymerization 117
Péter Galaja, Lóránd Kelemen, LászlóOroszi, and Pál Ormos

7.1 Introduction 117

7.2 Microfabrication by Photopolymerization 118

7.2.1 Fabrication by Scanning a Single Focused Laser Beam118

7.2.2 Parallel Photopolymerization using Diffractive Optics120

7.3 Light-Driven Rotors, Micromachines 121

7.3.1 Propeller 121

7.3.2 Propeller with Reversed Direction of Rotation 124

7.3.3 Complex Micromachines 126

7.4 Integrated Optical Motor 128

7.5 Angular Trapping of Flat Objects in Optical Tweezers Formedby Linearly Polarized Light 131

7.6 Torsional Manipulation of DNA 134

7.6.1 Direct Measurement of Torque 135

7.7 Conclusion 138

Acknowledgment 139

References 139

8 Spiral Phase Contrast Microscopy 143
Christian Maurer, Stefan Bernet, and Monika Ritsch-Marte

8.1 Phase Contrast Methods in Light Microscopy 143

8.2 Fourier Filtering in Optical Imaging 144

8.3 Spiral Phase Fourier Filtering 146

8.3.1 Isotropic Edge Enhancement 148

8.3.2 Pseudorelief Images 149

8.3.3 Spiral Fringe Metrology with SPC 150

8.4 Implementation and Performance 151

8.5 Conclusions 152

References 152

9 Applications of Electromagnetic OAM in Astrophysics andSpace Physics Studies 155
Bo Thidé, Nicholas M. Elias II, Fabrizio Tamburini,Siavoush M. Mohammadi, and José T.Mendon¸ca

9.1 Introduction 155

9.2 Ubiquitous Astronomical POAM 156

9.3 Applications of POAM in Astronomy 158

9.3.1 Sub-Rayleigh Resolution 159

9.3.2 Optical Vortices with Starlight 162

9.4 Applications of POAM in Space Physics 165

9.A. Appendix: Theoretical Foundations 169

9.A.1 Classical Field Picture 169

9.A.2 Photon Picture 170

References 175

10 Optical Vortex Cat States and their Utility for CreatingMacroscopic Superpositions of Persistent Flows 179
Ewan M. Wright

10.1 Introduction 179

10.2 Optical Vortex Cat States 181

10.2.1 Linear Fiber Propagation 181

10.2.2 Quantum Fiber Propagation 182

10.2.3 Optical Vortex Cat State via Self-Phase Modulation184

10.2.4 Photonic-Crystal Fibers 186

10.2.5 Other Schemes 188

10.3 Macroscopic Superposition of Persistent Flows 189

10.3.1 Optical Light-Shift Potential 189

10.3.2 Ring Trap and Quantum Stirring 190

10.3.3 Matter Waves on a Ring 191

10.3.4 Macroscopic Superposition of Persistent Flows 192

10.3.5 Discussion 194

10.4 Summary and Conclusions 195

References 195

11 Experimental Control of the Orbital Angular Momentum ofSingle and Entangled Photons 199
Gabriel Molina-Terriza and Anton Zeilinger

11.1 Introduction to the Photon OAM 199

11.2 Control of the OAM State of a Single Photon 201

11.3 Control of the OAM State of Multiple Photons 203

11.4 Applications in Quantum Information 207

11.5 Discussion 209

11.6 Conclusion 211

References 211

12 Rotating Atoms with Light 213
Kristian Helmerson and William D. Phillips

12.1 Introduction 213

12.2 Orbital Angular Momentum of Light 213

12.3 The Mechanical Effects of Light 214

12.4 Rotating Bose–Einstein Condensates 215

12.4.1 Experiment to Transfer Orbital Angular Momentum to a BEC(_ = 0) 216

12.4.2 Efficiency of the OAM Transfer Process 218

12.5 Measuring the Rotational Motion of the Atoms 220

12.5.1 Interference of the Rotating State with a NonrotatingState 220

12.5.2 Interference of the Rotating State with a CounterrotatingState 222

12.5.3 Observation of Fork-Like Interference Structure 223

12.5.4 Measurement of the Doppler Shift of the Rotating Atoms223

12.6 Generating Other Rotational States of Atoms 224

12.6.1 Vortices of Higher Charge 224

12.6.2 Rotational States of Multilevel Atomic Condensates227

12.6.3 Matter wave Amplification of a Vortex State 228

12.7 Supercurrents 230

12.7.1 Generation of a Supercurrent in a BEC 230

12.8 Conclusion 231

Acknowledgments 232

References 232

Index 237

Read More Show Less

Customer Reviews

Average Rating 2
( 1 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously
Sort by: Showing 1 Customer Reviews
  • Anonymous

    Posted November 6, 2013


    OMG $111 DOLLAS

    Was this review helpful? Yes  No   Report this review
Sort by: Showing 1 Customer Reviews

If you find inappropriate content, please report it to Barnes & Noble
Why is this product inappropriate?
Comments (optional)