OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry M. Van Driel
  • Vol. 24, Iss. 9 — Sep. 1, 2007
  • pp: 2443–2453

Influence of composition ratio variation on optical frequency conversion in mixed crystals. I. Gradual variation of composition ratio

Jin Jer Huang, Guang Jü Ji, Tao Shen, Yu. M. Andreev, A. V. Shaiduko, G. V. Lanskii, and Udit Chatterjee  »View Author Affiliations

JOSA B, Vol. 24, Issue 9, pp. 2443-2453 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (223 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A theoretical model is presented to deal with optical frequency conversion in a mixed nonlinear crystal with a small linear variation in composition ratio. Using the quasi-geometrical optics method, what we believe to be new diffraction-free coupling equations are developed to describe sum and difference frequency generations. With these new frequencies, we find that an optimal crystal length exists like that in the plane-wave model. Furthermore, the optimization of generated powers with absorption, transverse index modulation, and walk-off effect are studied in detail. According to different efficiency reductions, the tolerance and acceptance of composition ratios along and vertical to the beam propagating direction are presented. Intended gradual index crystals are also discussed for their possible applications in the frequency conversion of wideband lasers and in generating pulse compressed second harmonic ultrashort pulses.

© 2007 Optical Society of America

OCIS Codes
(080.2710) Geometric optics : Inhomogeneous optical media
(160.4330) Materials : Nonlinear optical materials
(190.2620) Nonlinear optics : Harmonic generation and mixing
(190.4400) Nonlinear optics : Nonlinear optics, materials

ToC Category:
Nonlinear Optics

Original Manuscript: February 7, 2007
Revised Manuscript: July 13, 2007
Manuscript Accepted: July 13, 2007
Published: August 29, 2007

Jin Jer Huang, Guang Jü Ji, Tao Shen, Yu. M. Andreev, A. V. Shaiduko, G. V. Lanskii, and Udit Chatterjee, "Influence of composition ratio variation on optical frequency conversion in mixed crystals. I. Gradual variation of composition ratio," J. Opt. Soc. Am. B 24, 2443-2453 (2007)

Sort:  Year  |  Journal  |  Reset  


  1. J. C. Mikkelson, Jr. and H. Kildal, "Phase studies, crystal growth, and optical properties of CdGe(As1−xPx)2 and AgGa(Se1−xSx)2 solid solutions," J. Appl. Phys. 49, 426-431 (1978). [CrossRef]
  2. K. Kato, E. Takaoka, N. Umemura, and T. Chonan, "Temperature-tuned type-2 90° phase-matched SHG of CO2 laser radiation at 9.2714-10.5910 μm in CdGe(As1−xPx)2," in Proceedings of International Conference on Lasers and Electro-Optics Europe--Technical Digest (Optical Society of America, 2000), pp. 295.
  3. G. C. Bhar, S. Das, U. Chatterjee, and Yu. M. Andreev, "Efficient generation of mid-infrared radiation in an AgGaxIn1−xSe2 crystal," Appl. Phys. Lett. 63, 1316-1318 (1993). [CrossRef]
  4. E. Takaoka and K. Kato, "90° phase-matched third-harmonic generation of CO2 laser frequencies in AgGa1−xInxSe2," Opt. Lett. 24, 902-904 (1999). [CrossRef]
  5. Yu. M. Andreev, V. V. Badikov, V. G. Voevodin, L. G. Geiko, P. P. Geiko, M. V. Ivashchenko, A. I. Karapuzikov, and I. V. Sherstov, "Radiation resistance of nonlinear crystals at a wavelength of 9.55 μm," Quantum Electron. 31, 1075-1078 (2001). [CrossRef]
  6. V. Petrov and F. Rotermund, "Application of the solid solution CdxHg1−xGa2S4 as a nonlinear optical crystal," Opt. Lett. 27, 1705-1707 (2002). [CrossRef]
  7. L. Isaenko, A. Yelisseyev, S. Lobanov, A. Titov, V. Petrov, J.-J. Zondy, P. Krinitsin, A. Merkulov, V. Vedenyapin, and J. Smirnova, "Growth and properties of LiGaX2(X=S,Se,Te) single crystals for nonlinear optical applications in the mid-IR," Cryst. Res. Technol. 38, 379-387 (2003). [CrossRef]
  8. L. Isaenko, I. Vasilyeva, A. Merkulov, A. Yelisseyev, and S. Lobanov, "Growth of new nonlinear crystals LiMX2 (M=Al,In,Ga; X=S,Se,Te) for the mid-IR optics," J. Cryst. Growth 275, 217-223 (2005). [CrossRef]
  9. Yu. M. Andreev, V. V. Atuchin, G. V. Lanskii, N. V. Pervukhina, V. V. Popov, and N. C. Trocenco, "Linear optical properties of LiIn(S1−xSex)2 crystals and tuning of phase matching conditions," Solid State Sci. 7, 1188-1193 (2005). [CrossRef]
  10. J.-J. Huang, V. V. Atuchin, Yu. M. Andreev, G. V. Lanskii, and N. V. Pervukhina, "Potentials of LiGa(S1−xSex)2 mixed crystals for optical frequency conversion," J. Cryst. Growth 292, 500-504 (2006). [CrossRef]
  11. V. Petrov, F. Noack, V. Badikov, G. Shevyrdyaeva, V. Panyutin, and V. Chizhikov, "Phase-matching and femtosecond difference-frequency generation in the quaternary semiconductor AgGaGe5Se12," Appl. Opt. 43, 4590-4597 (2004). [CrossRef] [PubMed]
  12. P. G. Schunemann, K. T. Zawilski, and T. M. Pollak, "Horizontal gradient freeze growth of AgGaGeS4 and AgGaGe5Se12," J. Cryst. Growth 287, 248-251 (2006). [CrossRef]
  13. J. J. Huang, Y. M. Andreev, G. V. Lanskii, A. V. Shaiduko, S. Das, and U. Chatterjee, "Acceptable composition ratio variations of a mixed crystal for nonlinear laser device applications," Appl. Opt. 44, 7644-7650 (2005). [CrossRef] [PubMed]
  14. M. Born and E. Wolf, Principles of Optics (Cambridge U. Press, 1999).
  15. M. A. Arbore, O. Marco, and M. M. Fejer, "Pulse compression during second-harmonic generation in aperiodic quasi-phase-matching gratings," Opt. Lett. 17, 865-867 (1997). [CrossRef]
  16. G. Imeshev, M. A. Arbore, S. Kasriel, and M. M. Fejer, "Pulse shaping and compression by second-harmonic generation with quasi-phase-matching gratings in the presence of arbitrary dispersion," J. Opt. Soc. Am. B 17, 1420-1437 (2000). [CrossRef]
  17. C. A. Wang, D. Carlson, S. Motakef, M. Wiegel, and M. J. Wargo, "Research on macro- and microsegregation in semiconductor crystals grown from the melt under the direction of August F. Witt at the Massachusetts Institute of Technology," J. Cryst. Growth 264, 565-577 (2004). [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.


Fig. 1 Fig. 2 Fig. 3
Fig. 4

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited