Twisted Gaussian Schell-model beams. II. Spectrum analysis and propagation characteristics
- Institute of Mathematical Sciences, Madras (India)
- Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore (India)
Extending the work of part I of this series, the authors analyze the structure of the eigenvalue spectrum as well as the propagation characteristics of the twisted Gaussian Schell-model beams. The manner in which the twist phase affects the spectrum, and hence the positivity property of the cross-spectral density, is brought out. Propagation characteristics of these beams are simply deduced from the elementary properties of their modes. It is shown that the twist phase lifts the degeneracy in the eigenvalue spectrum on the one hand and acts as incoherence in disguise on the other. An abstract Hilbert-space operator bringing out the cross-spectral density of the twisted Gaussian Schell-model beam is explicitly constructed, bringing out the useful similarity between these cross-spectral densities and quantum-mechanical thermal-state-density operators of isotropic two-dimensional oscillators, with a term proportional to the angular momentum added to the Hamiltonian. 10 refs.
- OSTI ID:
- 5011038
- Journal Information:
- Journal of the Optical Society of America, Part A: Optics and Image Science; (United States), Journal Name: Journal of the Optical Society of America, Part A: Optics and Image Science; (United States) Vol. 10:9; ISSN 0740-3232; ISSN JOAOD6
- Country of Publication:
- United States
- Language:
- English
Similar Records
Twisted Gaussian Schell-model solitons
Twisted Gaussian Schell-model beams. I. Symmetry structure and normal-mode spectrum
Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BANACH SPACE
BEAM OPTICS
COHERENT RADIATION
ELECTROMAGNETIC RADIATION
FUNCTIONS
GAUSSIAN PROCESSES
HILBERT SPACE
MATHEMATICAL MODELS
MATHEMATICAL SPACE
RADIATIONS
SPACE
SPECTRAL DENSITY
SPECTRAL FUNCTIONS
SYMMETRY
TWO-DIMENSIONAL CALCULATIONS
WAVE PROPAGATION