Effect of Goos-Hänchen shifts on pulse widths in optical waveguides

I A. White; C. Pask

doi:10.1364/AO.16.002353

Applied Optics
Vol. 16,
Issue 9,
pp. 2353-2355
(1977)
•https://doi.org/10.1364/AO.16.002353

Effect of Goos-Hänchen shifts on pulse widths in optical waveguides

I A. White and C. Pask

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I A. White and C. Pask, "Effect of Goos-Hänchen shifts on pulse widths in optical waveguides," Appl. Opt. 16, 2353-2355 (1977)

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	Slab	Fiber
τ_o	zn₁/c	zn₁/c
τ_GO/τ_o	secθ	secθ
τ_GOp/τ_o	$sec θ [1 - \frac{θ^{2}}{1 + V {(1 - θ^{2} / {θ_{c}}^{2})}^{1 / 2}}]$	$sec θ [1 - \frac{θ^{2} {cos}^{2} γ}{1 + V {cos}^{2} γ {(1 - θ^{2} {cos}^{2} γ / {θ_{c}}^{2})}^{1 / 2}}]$
τ_m/τ_o	= τ_GOp/τ_o	$sec θ {1 - \frac{θ^{2}}{1 + V {(1 - θ^{2} {cos}^{2} γ / {θ_{c}}^{2})}^{1 / 2}}}$
θ_max	$θ_{c} [1 - \frac{{(n_{2} / n_{1})}^{1 / 3}}{2 V^{2 / 3}}]$	θ_c for γ = π/2
τ_m(θ_max)/τ_o	$sec θ_{c} {1 - \frac{1.5 {θ_{c}}^{2}}{{(V)}^{2 / 3}}}$	$sec θ_{c} {1 - \frac{{θ_{c}}^{2}}{V}}$
(Δτ_GO − Δτ_m)/Δτ_GO	300 V^−2/3 %	200 V⁻¹ %

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Applied Optics