A beam inside dense glass of index meets its plane boundary with air ( ) at

PHYSICS · Subjective · Fermi University Physics · Optics & Photonics · Wave propagation and light in media · Wave propagation and light in media

What an Instrument Can See, Ch The boundary as a two-port

Problem

A beam inside dense glass of index n1=1.6n_1=1.6 meets its plane boundary with air (n2=1n_2=1) at θi=70∘\theta_i=70^\circ. Using n≡n2/n1n\equiv n_2/n_1, tan⁡δs2=sin⁡2θi−n2cos⁡θi,tan⁡δp2=sin⁡2θi−n2n2cos⁡θi,\tan\frac{\delta_s}{2} = \frac{\sqrt{\sin^2\theta_i - n^2}}{\cos\theta_i}, \qquad \tan\frac{\delta_p}{2} = \frac{\sqrt{\sin^2\theta_i - n^2}}{n^2\cos\theta_i}, (the Fresnel-rhomb convention, in which δs\delta_s is minus the phase of rsr_s and δp−δs\delta_p-\delta_s is the δBW\delta_{\mathrm{BW}} of the chapter's key result), find δs\delta_s, δp\delta_p and their difference.

Browse the problem library