Spectral Solution of the Helmholtz and Paraxial Wave Equations and Classical Diffraction Formulae
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- Type
- report
- Published
- 2004-03-01
- Cited by
- 5
- References
- 27
- Access
- Open access
- OpenAlex
- https://openalex.org/W70862230
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:117236634
Keywords
Paraxial approximation, Helmholtz equation, Diffraction, Physics, Helmholtz free energy
References
- Computation of mode properties in optical fiber waveguides by a propagating beam method.
- Propagation of High-Energy Laser Beam in the Atmosphere
- Zur Theorie der Lichtstrahlen
- Fourier treatment of near‐field scalar diffraction theory
- Validity of the Fresnel approximation in the near field
- Focusing by small-f-number lenses in the presence of aberrations.
- Wave propagation in optical systems with large apertures
- Vector theory of self-focusing of an optical beam in Kerr media.
- Microwave aperture antennas and diffraction theory.
- Computation of mode eigenfunctions in graded-index optical fibers by the propagating beam method.
- Diffracted field by an arbitrary aperture
- Calculation of dispersion in graded-index multimode fibers by a propagating-beam method.
- Comparison of the Kirchhoff and the Rayleigh–Sommerfeld Theories of Diffraction at an Aperture
- Traité de la Lumière
- Beam nonparaxiality, filament formation, and beam breakup in the self-focusing of optical beams
- Conditions for the Validity of the Angular Spectrum of Plane Waves
- From Maxwell to paraxial wave optics
- Nonlinear optics.
- Die Greensche Funktion der Schwingungslgleichung.
- Mathematische Theorie der Diffraction
Cited by
- On numerical integration with high-order quadratures: with application to the Rayleigh–Sommerfeld integral
- Efficient quadrature for fast oscillating integral of paraxial optics
- Analytical solutions for beams passing apertures with sharp boundaries
- Analytical boundary-based method for diffraction calculations
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