Mathematical Optics

1	Orbital Angular Momentum A Ray Optical Interpretation
Miles Padgett

CONTENTS

1.1      History of Orbital Angular Momentum

1.2      Orbital Angular Momentum in Laser Beams

1.3      Making Beams Containing Orbital Angular Momentum

1.4      Orbital Angular Momentum in Terms of Ray Optics

1.5      Orbital Angular Momentum in Nonlinear Optics

1.6      Orbital Angular Momentum in Frequency Shifts

1.7      Orbital Angular Momentum in Optical Manipulation

1.8      Orbital Angular Momentum within Dielectrics

1.9      Conclusions

References

1.1      HISTORY OF ORBITAL ANGULAR MOMENTUM

That light carries both a linear and an angular momentum in the direction of its propagation stems directly from Maxwell’s equations. In the early 1900s, Poynting ...