## Discussion to the equivalent point realized by the two polarized beams in AOTF system

Optics Express, Vol. 4, Issue 3, pp. 139-146 (1999)

http://dx.doi.org/10.1364/OE.4.000139

Acrobat PDF (121 KB)

### Abstract

By an accurate theoretical analysis, an equivalent point is found where the filtered optic wave lengths of the two acoustic-optic reactions of “e in o out” and “o in e out” are the same with the same acoustic frequency. Two cases of δ=0 and δ≠0 are discussed and compared. The merits of the equivalent point is discussed in different points of view. The discussions conclude that the parameters set around the equivalent point leading to the optimum designing.

© Optical Society of America

## 1. Overview of existing AOTF system

1. R. W. Dixon, IEEE. J. Quantum Electron. **QE-3**, 85 (1967). [CrossRef]

_{e}O

_{2}was found to be the nearly ideal crystal in making AOTF cell and the noncollinear optic arrangement was put forward by I.C.Chang [2

2. I. C. Chang, Appl. Phys. Lett. **25**, 370 (1974). [CrossRef]

2. I. C. Chang, Appl. Phys. Lett. **25**, 370 (1974). [CrossRef]

3. T. Yano and A. Watanabe, Appl. Opt. **15**, 2250 (1976). [CrossRef] [PubMed]

6. P. A. Gass and J. R. Sambles, Opt. Lett. **16**, 429 (1991). [CrossRef] [PubMed]

## 2. Equivalent Points in AOTF

**OC**and

**OB**denote the incident optic wave vectors of o-ray and e-ray with the same incident angle of θ

_{i}respectively. By the interaction of acoustic wave of

**K**at the direction of θ

_{aeo}_{aeo}and the optic incident wave of

**K**, the diffracted optic wave vector

_{ie}**K**is generated at the direction of θ

_{do}_{do}. Similarly, the acoustic vector

**K**at the direction of θ

_{aoe}_{aoe}and the optic incident vector

**K**generates the diffracted optic vector of

_{io}**K**at the direction of θ

_{de}_{de}. Vector triangles of

**OAB**and

**OCD**meet the parallel-tangent momentum matching condition. From Fig.1, the vector equation and the partial equations can be written as:

_{i}and n

_{d}are refractive indices respectively, f

_{a}is the acoustic frequency, V

_{a}is the acoustic velocity at the vector

**V**direction and λ is the vacuum optic wave length.

_{a}8. A. W. Warner, D. L. White, and W. A. Bonner, J. Appl. Phys. **43,**4489 (1972) [CrossRef]

_{i}, and the slope angle of the tangent of the ellipse of the index surface for the ordinary beam at the locus decided by θ

_{do}are described as:

*k*=

_{e}*k*, we have the diffracting angle for the arrangement of “e in o out”:

_{o}_{aeo}and the frequency f

_{aeo}for “e in o out”:

*θ*= tan

_{aeo}*θ*:

_{aoe}_{i}=55.982°, θ

_{a}=108.244°. An AOTF device is made with the parameters. The experiment result given in Fig. 7. proves the discussion presented in this paper. The data are collected by spectrometer of FT-IR System 2000 from PERKIN ELMER.

## 3. Conclusion

_{i}and θ

_{a}on the curves deduced from the parallel-tangent phase matching condition such as that in Fig. 2 may be taken as the designing basis. But none of them can meet the perfect momentum matching condition for both the “e in o out” and “o in e out” simultaneously except the equivalent point or the cross point of the curve for “e in o out” and the curve for “o in e out”.

## References:

1. | R. W. Dixon, IEEE. J. Quantum Electron. |

2. | I. C. Chang, Appl. Phys. Lett. |

3. | T. Yano and A. Watanabe, Appl. Opt. |

4. | Mo Fuqin, Acta Optica Sinica, |

5. | V. M. Epikhin, F. L. Vizen, and L. L. Pal’tsev, Sov. Phys. Tech. Phys. |

6. | P. A. Gass and J. R. Sambles, Opt. Lett. |

7. | Ren Quan etc., Acta Optica Sinica, |

8. | A. W. Warner, D. L. White, and W. A. Bonner, J. Appl. Phys. |

**OCIS Codes**

(230.1040) Optical devices : Acousto-optical devices

(260.1440) Physical optics : Birefringence

**ToC Category:**

Research Papers

**History**

Original Manuscript: January 6, 1999

Published: February 1, 1999

**Citation**

Bin Xue, Kexin Xu, and Hiroshi Yamamoto, "Discussion to the equivalent point realized by the two polarized beams in AOTF system," Opt. Express **4**, 139-146 (1999)

http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-4-3-139

Sort: Journal | Reset

### References

- R. W. Dixon, IEEE. J. Quantum Electron. QE-3, 2 (1967). [CrossRef]
- I. C. Chang, Appl. Phys. Lett. 25, 370 (1974). [CrossRef]
- T. Yano and A. Watanabe, Appl. Opt. 15, 2250 (1976). [CrossRef] [PubMed]
- Mo Fuqin, Acta Optica Sinica, 6, 446 (1986).
- V. M. Epikhin, F. L. Vizen and L. L. Pal'tsev, Sov. Phys. Tech. Phys. 32, 1149 (1987).
- P. A. Gass and J. R. Sambles, Opt. Lett. 16, 429 (1991). [CrossRef] [PubMed]
- Ren Quan etc., Acta Optica Sinica, 13, 568 (1993).
- A. W. Warner, D. L. White and W. A. Bonner, J. Appl. Phys. 43, 4489 (1972). [CrossRef]

## Cited By |
Alert me when this paper is cited |

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

OSA is a member of CrossRef.