### Abstract

The Jones calculus is widely used for analyzing the polarization of a fully polarized beam. By the Jones calculus, usually, a beam having spatially homogeneous polarization is analyzed. Recently, axially symmetrically polarized beams have attracted great interest, whose polarization is not homogeneous in its cross section. The Jones calculus can be extended to such beams by adding angularly variant terms. We show the necessity of the correct rotation formulas in the Jones calculus extended to axially symmetrically polarized beam, and deduce them. We also show the effectiveness of this calculus by calculating the generation of two types of axially symmetrically polarized beams with an angularly variant optical element.

Original language | English |
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Title of host publication | Optics InfoBase Conference Papers |

Publication status | Published - 2011 |

Externally published | Yes |

Event | Frontiers in Optics, FiO 2011 - San Jose, CA Duration: 2011 Oct 16 → 2011 Oct 20 |

### Other

Other | Frontiers in Optics, FiO 2011 |
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City | San Jose, CA |

Period | 11/10/16 → 11/10/20 |

### Fingerprint

### ASJC Scopus subject areas

- Instrumentation
- Atomic and Molecular Physics, and Optics

### Cite this

*Optics InfoBase Conference Papers*

**Rotation formulas in the jones calculus extended to axially symmetrically polarized beam.** / Matsuo, Shigeki.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Optics InfoBase Conference Papers.*Frontiers in Optics, FiO 2011, San Jose, CA, 11/10/16.

}

TY - GEN

T1 - Rotation formulas in the jones calculus extended to axially symmetrically polarized beam

AU - Matsuo, Shigeki

PY - 2011

Y1 - 2011

N2 - The Jones calculus is widely used for analyzing the polarization of a fully polarized beam. By the Jones calculus, usually, a beam having spatially homogeneous polarization is analyzed. Recently, axially symmetrically polarized beams have attracted great interest, whose polarization is not homogeneous in its cross section. The Jones calculus can be extended to such beams by adding angularly variant terms. We show the necessity of the correct rotation formulas in the Jones calculus extended to axially symmetrically polarized beam, and deduce them. We also show the effectiveness of this calculus by calculating the generation of two types of axially symmetrically polarized beams with an angularly variant optical element.

AB - The Jones calculus is widely used for analyzing the polarization of a fully polarized beam. By the Jones calculus, usually, a beam having spatially homogeneous polarization is analyzed. Recently, axially symmetrically polarized beams have attracted great interest, whose polarization is not homogeneous in its cross section. The Jones calculus can be extended to such beams by adding angularly variant terms. We show the necessity of the correct rotation formulas in the Jones calculus extended to axially symmetrically polarized beam, and deduce them. We also show the effectiveness of this calculus by calculating the generation of two types of axially symmetrically polarized beams with an angularly variant optical element.

UR - http://www.scopus.com/inward/record.url?scp=84893562895&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84893562895&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84893562895

SN - 9781557529176

BT - Optics InfoBase Conference Papers

ER -