Diffraction of a Gaussian beam near the beam waist
Tóm tắt
The behavior of the light field near the beam waist has attracted considerable attention due to the studies of the light spin-orbit interaction: it’s manifestation as well as potential applications. Similarly, the light beam diffraction can reveal new light particularities. We have studied the far-field diffraction of a Gaussian beam by a half-plane edge placed near the beam waist. We have solved numerically the Helmholtz equation using the spectral method. We have found symmetric penetration of the light energy into the shadow region if we placed the half-plane edge exactly in the beam waist region. The symmetry gets broken down as the edge moves along the optical axis toward or away from the lens at a distance more than 0.01% of the focal length. Experimental verification has been obtained using a Gaussian beam focused by a lens of 4 cm focal length. The results can be used for precise determination of the beam waist position while investigating the effects of the light spin-orbit interaction in focused Gaussian beams.
Tài liệu tham khảo
Dugin, A. V., Zel’dovich, B. Y., Kundikova, N. D., Liberman, V. S.: Effect of circular polarization on the propagation of light through an optical fiber. JETP Lett. 53(4), 197–199 (1991).
Dooghin, A. V., Kundikova, N. D., Liberman, V. S., Zeldovich, B. Y.: Optical Magnus effect. Phys. Rev. A. 45(11), 8204–8208 (1992).
Liberman, V. S., Zel’dovich, B. Y.: Spin-orbit interaction of a photon in an inhomogeneous medium. Phys. Rev. A. 46(8), 5199–5207 (1992).
Bliokh, K. Y., Rodríguez-Fortuño, F. J., Nori, F., Zayats, A. V.: Spin-orbit interactions of light. Nat. Photon. 9(12), 796–808 (2015).
Abdulkareem, S., Kundikova, N.: Joint effect of polarization and the propagation path of a light beam on its intrinsic structure. Opt. Express. 24(17), 19157–19165 (2016). http://arxiv.org/abs/1604.03371.
Baranova, N. B., Savchenko, A. Y., Zel’dovich, B. Y.: Transverse shift of a focal spot due to switching of the sign of circular polarization. JETP Lett. 59(1), 232–234 (1994).
Zel’dovich, B. Y., Kundikova, N. D., Rogacheva, L. F.: Observed transverse shift of a focal spot upon a change in the sign of circular polarization. JETP Lett. 59(1), 766–769 (1994).
Nicola, S. D., Anderson, D., Lisak, M.: Focal shift effects in diffracted focused beams. Pure Appl. Opt. Part A. 7(1), 1249–1259 (1998).
Ren, Z. C., Qian, S. X., Tu, C., Li, Y., Wang, H. T.: Focal shift in tightly focused Laguerre-Gaussian beams. Opt. Commun. 334(1), 156–159 (2015).
Zeylikovich, I., Nikitin, A.: Diffraction of a gaussian laser beam by a straight edge leading to the formation of optical vortices and elliptical diffraction fringes. Opt. Commun. 413(1), 261–268 (2018).
Bekshaev, A. Y.: Spin-orbit interaction of light and diffraction of polarized beams. J. Opt. 19(8), 085602 (2017).
Luo, Y., Lu, B.: Polarization singularities of Gaussian vortex beams diffracted at a half-plane screen beyond the paraxial approximation,. J. Opt. Soc. Am. A. 26(9), 1961–1966 (2009).
Terborg, R. A., Volke-Sepulveda, K.: Quantitative characterization of the energy circulation in helical beams by means of near-field diffraction. Opt. Express. 21(3), 3379–87 (2013).
Kundikova, N., Popkov, I.: Difraction by a slit hollow chain-like beams with a wavefront dislocation. Russ. Phys. J. 58(1), 61–63 (2015).
Bekshaev, A. Y., Mohammed, K. A.: Spatial profile and singularities of the edge-diffracted beam with a multicharged optical vortex. Opt. Commun. 341(1), 284–294 (2015).
Worku, N. G., Gross, H.: Propagation of truncated Gaussian beams and their application in modeling sharp-edge diffraction. J. Opt. Soc. Am. A. 36(5), 859 (2019).
Bekshaev, A., Chernykh, A., Khoroshun, A., Mikhaylovskaya, L.: Singular skeleton evolution and topological reactions in edge-diffracted circular optical-vortex beams. Opt. Commun. 397(1), 72–83 (2017).
Li, Y., Wolf, E.: Focal shifts in diffracted converging spherical waves. Opt. Commun. 39(4), 211–215 (1981).
Givens, M. P.: Focal shifts in diffracted converging spherical waves. Opt. Commun. 41(3), 145–148 (1982).
Herman, R. M., Pardo, J., Wiggins, T. A.: Diffraction and focusing of Gaussian beams. Appl. Opt. 24(9), 1346 (1985).
Bischoff, J., Neundorf, W.: Effective schema for the rigorous modeling of grating diffraction with focused beams. Appl. Opt. 50(16), 2474 (2011).
Livanos, A. C., George, N.: Edge Diffraction of a Convergent Wave. Appl. Opt. 14(3), 608 (1975).