Abstract
This paper presents a theoretical investigation of the propagation and focusing of an electromagnetic wave in an inhomogeneous dielectric whose dielectric constant is given byɛ=ɛ 0(z)+Φ(r, z), whereZ-axis is the direction of propagation of the beam. The quantity Φ(r, z) may either be due to non-linear effects or due to inhomogeneity in the actual fabrication of the guide.
Numerical calculations show that for a cylindrically symmetrical Gaussian beam, even a small axial inhomogeneity has appreciable effect on self-focusing; if the real part ofdɛ 0 (z)/dz is larger than zero the focusing effect increases withz, and vice-versa.
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Work supported by Institute of Telecomm. Science, Boulder, Coloado and NSF, USA.
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Sodha, M.S., Tewari, D.P., Ghatak, A.K. et al. Self-focusing of laser beams in inhomogeneous dielectrics. Opto-electronics 3, 157–161 (1971). https://doi.org/10.1007/BF01419331
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DOI: https://doi.org/10.1007/BF01419331