For a generalized Hermite sinosiodal / hyperbolic Gaussian beam passing through an ABCD system with a finite aperture, the propagation properties are derived using the Collins integral. The results are obtained in the form of intensity graphs indicating that previously demonstrated rules of reciprocity are applicable, while the existence of the aperture accelerates this transformation.
[1] H. T. Eyyubo─ƒlu, and Y. Baykal, "Average intensity and spreading of
cosh-Gaussian laser beams in the turbulent atmosphere", Applied Optics,
vol. 44, no.6, pp. 976-983, 20 Feb. 2005.
[2] H. T. Eyyubo─ƒlu, and Y. Baykal, "Analysis of reciprocity of cos-
Gaussian and cosh-Gaussian laser beams in a turbulent atmosphere",
Optics Express, vol. 12, no.20, pp. 4659-4674, Sept.2004.
[3] H. T. Eyyubo─ƒlu,, "Propagation of Hermite-cosh-Gaussian laser beams
in turbulent atmosphere", Optics Communications, vol. 245, issue 1-6,
pp. 37-47, 17 Jan. 2005.
[4] H. T. Eyyubo─ƒlu, "Hermite-cosine-Gaussian laser beam and its
propagation characteristics in turbulent atmosphere", Journal of the
Optical Society of America A (JOSA A), vol. 22, no.8, 2005, to be
published.
[5] H. T. Eyyubo─ƒlu, and Y. Baykal, "Hermite-sine-Gaussian and Hermitesinh-
Gaussian laser beams in turbulent atmosphere", Journal of the
Optical Society of America A (JOSA A), to be published.
[6] A. Belefhal and M. Ibnchaikn, "Propagation properties of Hermite-cosh-
Gaussian laser beams," Optics Communications, vol. 186, issues 4-6, pp.
269-276, 15 Dec. 2000.
[7] B. L├╝, H. Ma and B. Zhang, "Propagation properties of cosh-Gaussian
beams," Optics Communications, vol. 164, issues 4-6, pp. 269-276, 15
June. 1999.
[8] S. Yu, H. Guo, X. Fu and W. Hu, "Propagation properties of elegant
Hermite-cosh-Gaussian laser beams," Optics Communications, vol. 204
pp. 59-66, issues 1-6, 1 Apr. 2002.
[9] N. Zhou and G. Zeng, "Propagation properties of Hermite-cosine-
Gaussian beams through a paraxial optical ABCD system with hardedge
aperture," Optics Communications, vol. 232, issues 1-6, pp. 49-59,
1 March 2004.
[10] Y. Qui, H. Guo, X. Chen and H. J. Kong, "Propagation properties of an
elgant Hermite-cosh-Gaussian beams through a finite aperture," Journal
of Optics A : Pure and Applied Optics, vol. 6, no. 2, pp. 210-215, Feb.
2004.
[11] B. L├╝ and H. Ma, "Coherent and incoherent off-axis Hermite-Gaussian
beam combinations," Applied Optics, vol. 39, no. 8, pp. 1279-1289, 10
March 2000.
[12] D. Zhao, H. Mao, W. Zhang and S. Wang, "Propagation of off-axial
Hermite-cosine-Gaussian beams through an apertured and misaligned
ABCD optical system," Optics Communications, vol. 224, issues 1-3,
pp. 5-12, 15 Aug. 2003.
[13] D. Deng, H. Guo, X. Chen and H. J. Kong, "Characteristics of coherent
and incoherent off-axis elegant Hermite-Gaussian beam combinations,"
Journal of Optics A : Pure and Applied Optics,, vol. 5, no. 5, pp. 489-
494, Sept. 2003.
[14] L. C. Andrews and R. L. Phillips, Laser Beam Propagation through
Random Media, SPIE Press, Bellingham, 1998, pp. 267.
[15] I. S. Gradysteyn and I. M. Ryzhik, Tables of Integrals, Series and
Products, Academic Press, New York, 2000, pp. 360.
[1] H. T. Eyyubo─ƒlu, and Y. Baykal, "Average intensity and spreading of
cosh-Gaussian laser beams in the turbulent atmosphere", Applied Optics,
vol. 44, no.6, pp. 976-983, 20 Feb. 2005.
[2] H. T. Eyyubo─ƒlu, and Y. Baykal, "Analysis of reciprocity of cos-
Gaussian and cosh-Gaussian laser beams in a turbulent atmosphere",
Optics Express, vol. 12, no.20, pp. 4659-4674, Sept.2004.
[3] H. T. Eyyubo─ƒlu,, "Propagation of Hermite-cosh-Gaussian laser beams
in turbulent atmosphere", Optics Communications, vol. 245, issue 1-6,
pp. 37-47, 17 Jan. 2005.
[4] H. T. Eyyubo─ƒlu, "Hermite-cosine-Gaussian laser beam and its
propagation characteristics in turbulent atmosphere", Journal of the
Optical Society of America A (JOSA A), vol. 22, no.8, 2005, to be
published.
[5] H. T. Eyyubo─ƒlu, and Y. Baykal, "Hermite-sine-Gaussian and Hermitesinh-
Gaussian laser beams in turbulent atmosphere", Journal of the
Optical Society of America A (JOSA A), to be published.
[6] A. Belefhal and M. Ibnchaikn, "Propagation properties of Hermite-cosh-
Gaussian laser beams," Optics Communications, vol. 186, issues 4-6, pp.
269-276, 15 Dec. 2000.
[7] B. L├╝, H. Ma and B. Zhang, "Propagation properties of cosh-Gaussian
beams," Optics Communications, vol. 164, issues 4-6, pp. 269-276, 15
June. 1999.
[8] S. Yu, H. Guo, X. Fu and W. Hu, "Propagation properties of elegant
Hermite-cosh-Gaussian laser beams," Optics Communications, vol. 204
pp. 59-66, issues 1-6, 1 Apr. 2002.
[9] N. Zhou and G. Zeng, "Propagation properties of Hermite-cosine-
Gaussian beams through a paraxial optical ABCD system with hardedge
aperture," Optics Communications, vol. 232, issues 1-6, pp. 49-59,
1 March 2004.
[10] Y. Qui, H. Guo, X. Chen and H. J. Kong, "Propagation properties of an
elgant Hermite-cosh-Gaussian beams through a finite aperture," Journal
of Optics A : Pure and Applied Optics, vol. 6, no. 2, pp. 210-215, Feb.
2004.
[11] B. L├╝ and H. Ma, "Coherent and incoherent off-axis Hermite-Gaussian
beam combinations," Applied Optics, vol. 39, no. 8, pp. 1279-1289, 10
March 2000.
[12] D. Zhao, H. Mao, W. Zhang and S. Wang, "Propagation of off-axial
Hermite-cosine-Gaussian beams through an apertured and misaligned
ABCD optical system," Optics Communications, vol. 224, issues 1-3,
pp. 5-12, 15 Aug. 2003.
[13] D. Deng, H. Guo, X. Chen and H. J. Kong, "Characteristics of coherent
and incoherent off-axis elegant Hermite-Gaussian beam combinations,"
Journal of Optics A : Pure and Applied Optics,, vol. 5, no. 5, pp. 489-
494, Sept. 2003.
[14] L. C. Andrews and R. L. Phillips, Laser Beam Propagation through
Random Media, SPIE Press, Bellingham, 1998, pp. 267.
[15] I. S. Gradysteyn and I. M. Ryzhik, Tables of Integrals, Series and
Products, Academic Press, New York, 2000, pp. 360.
@article{"International Journal of Electrical, Electronic and Communication Sciences:53436", author = "Halil Tanyer Eyyuboğu", title = "Propagation of a Generalized Beam in ABCD System", abstract = "For a generalized Hermite sinosiodal / hyperbolic Gaussian beam passing through an ABCD system with a finite aperture, the propagation properties are derived using the Collins integral. The results are obtained in the form of intensity graphs indicating that previously demonstrated rules of reciprocity are applicable, while the existence of the aperture accelerates this transformation.
", keywords = "Optical communications, Hermite-Gaussian beams, ABCD system.", volume = "1", number = "7", pages = "976-6", }
