Book contents
- Frontmatter
- Contents
- List of contributors
- Preface
- 1 Light beams carrying orbital angular momentum
- 2 Vortex transformations and vortex dynamics in optical fields
- 3 Vector beams in free space
- 4 Optical beams with orbital angular momentum in nonlinear media
- 5 Ray optics, wave optics and quantum mechanics
- 6 Quantum formulation of angle and orbital angular momentum
- 7 Dynamical rotational frequency shift
- 8 Spin-orbit interactions of light in isotropic media
- 9 Quantum electrodynamics, angular momentum and chirality
- 10 Trapping of charged particles by Bessel beams
- 11 Theory of atoms in twisted light
- 12 An experimentalist's introduction to orbital angular momentum for quantum optics
- 13 Measurement of light's orbital angular momentum
- 14 Efficient generation of optical twisters using helico-conical beams
- 15 Self-similar modes of coherent diffusion with orbital angular momentum
- 16 Quantum entanglement of orbital angular momentum
- Index
- References
5 - Ray optics, wave optics and quantum mechanics
Published online by Cambridge University Press: 05 December 2012
By
Book contents
- Frontmatter
- Contents
- List of contributors
- Preface
- 1 Light beams carrying orbital angular momentum
- 2 Vortex transformations and vortex dynamics in optical fields
- 3 Vector beams in free space
- 4 Optical beams with orbital angular momentum in nonlinear media
- 5 Ray optics, wave optics and quantum mechanics
- 6 Quantum formulation of angle and orbital angular momentum
- 7 Dynamical rotational frequency shift
- 8 Spin-orbit interactions of light in isotropic media
- 9 Quantum electrodynamics, angular momentum and chirality
- 10 Trapping of charged particles by Bessel beams
- 11 Theory of atoms in twisted light
- 12 An experimentalist's introduction to orbital angular momentum for quantum optics
- 13 Measurement of light's orbital angular momentum
- 14 Efficient generation of optical twisters using helico-conical beams
- 15 Self-similar modes of coherent diffusion with orbital angular momentum
- 16 Quantum entanglement of orbital angular momentum
- Index
- References
Summary
A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
- Type
- Chapter
- Information
- The Angular Momentum of Light , pp. 98 - 134Publisher: Cambridge University PressPrint publication year: 2012
References
[2] , Introduction to Quantum Mechanics (Upper Saddle River, NJ: Pearson Prentice Hall, 2005).
[3] , Lasers (Mill Valley, CA: University Science Books, 1986).
[5] and , Angular momentum and vortices in paraxial beams, J. Opt. A: Pure Appl. Opt. 6, 248 (2004).Google Scholar
[6] , On angular momentum, in: and (eds.), Quantum Theory of Angular Momentum (New York: Academic Press, 1965), p. 229.
[9] , On the propagation of Gaussian beams of light through lens-like media including those with a loss or gain variation, Appl. Opt. 4, 1562 (1965).Google Scholar
[10] and , Iwasawa decomposition in first-order optics: universal treatment of shape-invariant propagation for coherent and partially coherent beams, J. Opt. Soc. Am.A 15, 2146 (1998).Google Scholar
[12] and , Orbital angular momentum of general astigmatic modes, Phys. Rev.A 70, 013809 (2004).Google Scholar
[13] , , and , Orbital angular momentum of light and the transformation of Laguerre–Gaussian laser modes, Phys. Rev.A 45, 8185 (1992).Google Scholar
[14] , , and , Gaussian beams with very high orbital angular momentum, Opt. Commun. 144, 210 (1997).Google Scholar
[15] , Angular momentum and vortices in optics, in: (ed.), Structured Light and its Applications (Upper Saddle River, NJ: Academic Press, 2008), p. 19.
[16] and , Eigenfunction description of laser beams and orbital angular momentum of light, Opt. Commun. 94, 147 (1992).Google Scholar
[17] , Equivalence between focused paraxial beams and the quantum harmonic oscillator, Am. J. Phys. 73, 625 (2005).Google Scholar
[18] and , Bistability and optical switching of spatial patterns in a laser, J. Opt. Soc. Am.B 7, 1034, (1990).Google Scholar
[21] , and , Shape invariance and a universal form for the Gouy phase, J. Opt. Soc. Am.A 21, 572 (2004).Google Scholar
[22] and , Principles of Optics (New York: Pergamon, 1980).
[23] and , Geometric phases in astigmatic optical modes of arbitrary order, J. Math. Phys. 51, 082702 (2010).Google Scholar
[24] and , A ray analysis of optical resonators formd by two spherical mirrors, Appl. Opt. 9, 385 (1970).Google Scholar
[26] and , Optical cavities as iterative maps in the complex plane, Opt. Commun. 166, 229 (1999).Google Scholar
[27] , and , Geometric modes in a single-frequency Nd:YVO4 laser, Opt. Commun. 188, 345 (2001).Google Scholar
[28] , and , Observation of quantum-classical correspondence from high-order transverse patterns, Phys. Rev.A 68, 043803.
[30] , Coherent and incoherent states of the radiation field, Phys. Rev. 131, 2766 (1963).Google Scholar
[31] and , Optical Coherence and Quantum Optics (Cambridge: Cambridge University Press, 1995).
[32] , and , Wave description of geometric modes of a resonator, J. Opt. Soc. Am.A 8, 1559 (2005).Google Scholar