Almost pure TM or TE component far field in vector cosine-Gaussian beams

Abstract

The vectorial structure of cosine-Gaussian beams (cGBs) is investigated in the far field regime based on the vector plane wave spectrum and the method of stationary phase. The energy flux densities of TE or TM term and the ratio of the energy flux of TE or TM term in the whole beam are demonstrated. It is found that the spot configurations of the energy flux densities associated with the TE and TM terms depend on the polarization angle and the beam parameter of the incident cGB. And the far field may be entirely transverse magnetic or transverse electric under appropriate polarization angle and beam parameter.

Keywords

cosine-Gaussian beam / vectorial structure / polarization / TM component / TE component

References

[1] LaxM., LouisellW. H., McknightW. B.. From Maxwell to paraxial optics [J]. Phys Rev A, 1975, 11(3): 1365-1370

[2] DavisL. W.. Theory of electromagnetic beams [J]. Phys Rev A, 1979, 19(2): 1177-1179

[3] CarterW. H.. Electromagnetic field of a Gaussian beam with an elliptical cross section [J]. J Opt Soc Am, 1972, 62(10): 1195-1201

[4] HerreroR. M., MejiasP. M., BoschS., CarnicerA.. Vectorial structure of nonparaxial electromagnetic beams [J]. J Opt Soc Am A, 2001, 18(7): 1678-1670

[5] MarathayA. S., MccalmontJ. F.. Vector diffraction theory for electromagnetic waves [J]. J Opt Soc Am A, 2001, 18(10): 2585-2593

[6] ChenC. G., KonkolaP. T., FerreraJ., HeilmannR. K., SchattenburgM. L.. Analyses of vector Gaussian beam propagation and the validity of paraxial and spherical approximations [J]. J Opt Soc Am A, 2002, 19(2): 404-412

[7] GuoH. M., ChenJ. B., ZhuangS. L.. Vector plane wave spectrum of an arbitrary polarized electromagnetic wave [J]. Opt Express, 2006, 14(6): 2095-2100

[8] HerreroR. M., MejiasP. M.. Propagation of light fields with radial or azimuthal polarization distribution at a transverse plane [J]. Opt Express, 2008, 16(12): 9021-9033

[9] HerreroR. M., MejiasP. M., BoschS.. On the vectorial structure of non-paraxial radially polarized light fields [J]. Opt Commun, 2008, 281(11): 3046-3050

[10] WuG. H., LouQ. H., ZhouJ.. Analytical vectorial structure of hollow Gaussian beams in the far field [J]. Opt Express, 2008, 16(9): 6417-6424

[11] ZhouG. Q., NiY. Z., ZhangZ. W.. Analytical vectorial structure of non-paraxial nonsymmetrical vector Gaussian beam in the far field [J]. Opt Commun, 2009, 272(1): 32-39

[12] ZhouG. Q., LiuF. Q.. Far field structural characteristics of cosh-Gaussian beam [J]. Opt and Laser Tech, 2008, 40(2): 302

[13] DengD. M., GuoQ.. Analytical vectorial structure of radially polarized light beams [J]. Opt Lett, 2007, 32(18): 2711-2713

[14] TangH. Q., LiX. G., ZhouG. Q., ZhuK. C.. Vectorial structure of helical hollow Gaussian beams in the far field [J]. Opt Commun, 2009, 282(4): 478-481

[15] TangJ. W., LiS. X., WangT. F., ZhuK. C.. Effects of a rectangular aperture on the vectorial structure of a Gaussian beam in the far-field regime [J]. Appl Phys B, Laser and Opt, 2011, 102(2): 689-694

[16] TangH. Q., LiS. X., ZhouY. P., TangY.. Relation of vectorial structures of diffracted plane waves with the elliptical aperture configuration and the light polarization in the far field [J]. Opt Commun, 2010, 283(24): 4887-4891

[17] CaspersonL. W., HallD. G., TovarA. A.. Sinusoidal-Gaussian beams in complex optical systems [J]. J Opt Soc Am A, 1997, 14(12): 3341-3348

[18] CaspersonL. W., TovarA. A.. Hermite-sinusoidal-Gaussian beams in complex optical systems [J]. J Opt Soc Am A, 1998, 15(4): 954-961

[19] TovarA. A., CaspersonL. W.. Production and propagation of Hermite-sinusoidal-Gaussian laser beams [J]. J Opt Soc Am A, 1998, 15(9): 2425-2432

[20] ZhaoD. M., MaoH. D., ZhangM., WangS. M.. Propagation of off-axial Hermite-cosine-Gaussian beams through an apertured and misaligned ABCD optical system [J]. Opt Commun, 2003, 224(1): 5-12