Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Independent waves in complex source point theory.

S R Seshadri1

  • 1s.r.seshadri@osa.org

Optics Letters
|November 3, 2007
PubMed
Summary
This summary is machine-generated.

This study presents a full-wave generalization of scalar Gaussian paraxial beams using analytical continuation. It investigates the validity of these fields for outgoing and incoming waves, deducing wave functions for separated half-spaces.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Propagation velocity of a surface polariton.

Journal of the Optical Society of America. A, Optics, image science, and vision·2014
Same author

Modified fundamental Airy wave.

Journal of the Optical Society of America. A, Optics, image science, and vision·2014
Same author

Cherenkov radiation versus X-shaped localized waves: comment.

Journal of the Optical Society of America. A, Optics, image science, and vision·2013
Same author

Complex space source theory of partially coherent light wave.

Journal of the Optical Society of America. A, Optics, image science, and vision·2010
Same author

Partially coherent fundamental Gaussian wave generated by a fluctuating planar current source.

Journal of the Optical Society of America. A, Optics, image science, and vision·2010
Same author

Basic full-wave generalization of the real-argument Hermite-Gauss beam.

Journal of the Optical Society of America. A, Optics, image science, and vision·2010
Same journal

Gaussian-modulated continuous-variable quantum key distribution over 60 km fiber using an integrated silicon photonic receiver.

Optics letters·2026
Same journal

E2E-OCT: end-to-end joint learning model using optical coherence tomography images for vocal cord leukoplakia diagnosis.

Optics letters·2026
Same journal

Holographic generation of panoramic 3D scenes by concave ellipsoidal mirror reflection.

Optics letters·2026
Same journal

Dual-pilot phase recovery with pair-wise maximum-ratio combining for coherent PONs.

Optics letters·2026
Same journal

Mapping the whispering gallery modes of a CaF<sub>2</sub> disk resonator with half-tapered fibers to estimate the fundamental mode volume.

Optics letters·2026
Same journal

Quantitative estimation of deep-subwavelength scale via dark-field scattering axial energy concentration decay profiles.

Optics letters·2026
See all related articles

Area of Science:

  • Electromagnetism
  • Wave Optics
  • Mathematical Physics

Background:

  • Scalar Gaussian paraxial beams are approximations.
  • A full-wave description is needed for broader applicability.
  • Helmholtz equation governs wave propagation.

Purpose of the Study:

  • To generalize scalar Gaussian paraxial beams to a full-wave description.
  • To investigate the validity regions of the generalized fields.
  • To derive independent wave functions for different spatial regions.

Main Methods:

  • Analytical continuation of a point source field.
  • Application to the Helmholtz equation.
  • Investigation of outgoing and incoming wave solutions.

Related Experiment Videos

Main Results:

  • A full-wave generalization of scalar Gaussian paraxial beams is established.
  • Regions of validity for analytically continued fields are identified.
  • Two independent wave functions are deduced for two half-spaces.

Conclusions:

  • The derived wave functions provide a complete description of the generalized beams.
  • This work extends the understanding of beam propagation beyond paraxial approximations.