Propagation of generalized vector Helmholtz-Gauss beams through paraxial optical systems
Abstract
We introduce the generalized vector Helmholtz-Gauss (gVHzG) beams that constitute a general family of localized beam solutions of the Maxwell equations in the paraxial domain. The propagation of the electromagnetic components through axisymmetric ABCD optical systems is expressed elegantly in a coordinate-free and closed-form expression that is fully characterized by the transformation of two independent complex beam parameters. The transverse mathematical structure of the gVHzG beams is form-invariant under paraxial transformations. Any paraxial beam with the same waist size and transverse spatial frequency can be expressed as a superposition of gVHzG beams with the appropriate weight factors. This formalism can be straightforwardly applied to propagate vector Bessel-Gauss, Mathieu-Gauss, and Parabolic-Gauss beams, among others.
Additional Information
© 2006 Optical Society of America Original Manuscript: August 2, 2006. Manuscript Accepted: September 15, 2006. Revised Manuscript: September 15, 2006. Published: October 2, 2006 This research was supported by Consejo Nacional de Ciencia y Tecnología (grant 42808) and by Tecnológico de Monterrey (grant CAT007). M.A. Bandres acknowledge support from Secretaría de Educacíon Pública of México.Attached Files
Published - HERoe06.pdf
Supplemental Material - HERoe06movie1.avi
Supplemental Material - HERoe06movie2.avi
Supplemental Material - HERoe06movie3.avi
Supplemental Material - HERoe06movie4.avi
Supplemental Material - HERoe06movie5.avi
Supplemental Material - HERoe06movie6.avi
Supplemental Material - HERoe06movie7.avi
Supplemental Material - HERoe06movie8.avi
Files
Name | Size | Download all |
---|---|---|
md5:409f899c600252a86e839943fdc3e1d5
|
3.4 MB | Download |
md5:8e26215ccacce2152b44bb10119cddf1
|
2.7 MB | Download |
md5:453f9a96edf14f3444d305341c9b5f59
|
2.3 MB | Download |
md5:29667f4aac34276f90aac067b0249899
|
2.4 MB | Download |
md5:a6fd2a2b1db92855de8065eab2bc8f6c
|
3.4 MB | Download |
md5:d1c088099ade18de2d7be51ddbdd7c06
|
3.3 MB | Download |
md5:4cb29e4b6916495e58c34a676481b63d
|
3.7 MB | Download |
md5:2590024a2b86f59b02a1f8af2f6d2f74
|
2.5 MB | Download |
md5:680db1c4ba75e69f9206149d9244880e
|
546.2 kB | Preview Download |
Additional details
- Eprint ID
- 5619
- Resolver ID
- CaltechAUTHORS:HERoe06
- 42808
- Consejo Nacional de Ciencia y Tecnología (CONACYT)
- CAT-007
- Tecnológico de Monterrey
- Secretaría de Educación Pública (SEP)
- Created
-
2006-10-26Created from EPrint's datestamp field
- Updated
-
2021-11-08Created from EPrint's last_modified field