## The Angular Momentum of LightRecent developments in the angular momentum of light present fresh challenges to long established concepts and pave the way for new and wide-ranging applications. The scope for structured light such as optical vortices, in particular, now extends from microfluidics to quantum information. This is the first comprehensive edited collection dealing with light carrying spin and orbital angular momentum, covering both fundamental and applied aspects. Written by internationally leading specialists, the chapters have been compiled to reflect the latest scientific progress and to address the multitude of theoretical, experimental and technical issues associated with this vibrant and exciting field. The volume is an authoritative reference for academic researchers and graduate students engaged in theoretical or experimental study of optical angular momentum and its applications. It will also benefit professionals in physics, optics and optical engineering, chemistry and biology. |

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### Contents

References | 27 |

University of Bristol HH Wills Physics Laboratory Tyndall Avenue Bristol | 50 |

Vector beams in free space | 51 |

Optical beams with orbital angular momentum in nonlinear media | 71 |

References | 92 |

Ray optics wave optics and quantum mechanics | 98 |

References | 133 |

References | 159 |

References | 260 |

University of York Department ofPhysics York YOIO 5DD | 261 |

Theory of atoms in twisted light | 284 |

An experimentalists introduction to orbital angular momentum | 314 |

Measurement of lights orbital angular momentum | 330 |

Macquarie University Faculty of Science Dept of Physics and Astronomy C5 C350 Level | 350 |

Efﬁcient generation of optical twisters using helicoconical beams | 352 |

Selfsimilar modes of coherent diffusion with orbital angular momentum | 365 |

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### Common terms and phrases

amplitude angle atomic azimuthal azimuthons Babiker basis sets Berry phase Bessel beams circular polarization circularly components coordinate corresponding D. L. Andrews deﬁned density diffraction diffusion dipole Doppler shift dynamics electric ﬁeld entanglement equation experimental Figure ﬁrst ﬂow ﬂux frequency function Gaussian beam geometric geometric phase Hall effect Hamiltonian HC beams helical phase Hermite—Gaussian hologram integral intensity distribution interaction IOAM ladder operators Laguerre—Gaussian beams Laguerre—Gaussian modes laser lens Lett light beams linear magnetic ﬁeld matrix measurement momentum of light motion non-paraxial nonlinear nonlocal optical twisters optical vortices orbital angular momentum oscillator parameter paraxial approximation paraxial beam particles photon Phys plane wave Poincaré sphere polarisation proﬁle propagation quantum numbers radial reﬂection rotation solitons solutions space spatial speciﬁc spin Hall effect spiral superposition symmetry topological charge torque trajectory transformation transverse shift trapping twisted light values vector beams velocity vortex beams vortices Woerdman