Goos-Haenchen Shift (Phase Shift on Reflection) Material 1 - epsilon r = 1.50, s

Question

Goos-Haenchen Shift (Phase Shift on Reflection) Material 1 - epsilon r = 1.50, sigma = 0. Material 2 - epsilon r = 1.45, sigma = 0. Use the PWRM-SB to determine the critical angle for Total Internal Reflection. Generate a plot of the phase shift on reflection at the boundary verses incidence angle for both TE and TM polarisation (in steps of 1 degree equal to and above the critical angle). An optical fibre is constructed of Material 1 for the core and Material 2 for the cladding. What is the lowest value of phase shift caused by light travelling through the core material (i.e. excluding phase from the Goos-Haenchen shift) required in order to support a guided mode at the critical angle? What is the diameter of the optical fibre core?

Explanation / Answer

Refractive Index(u) = 1/sin C where C is the critical angle. Therefore, arcsin 1/1.5 = C

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