(b)What is the answer if there is no outer covering of the pipe?
Reflection, rmax = 900-i=900-590=310
Let, imax be the (a) A Refractive index of the glass fibre μ=16.8
A Refractive index of the outer covering of the pipe ,μ =1.44
Angle of incidence = i
Angle of refraction = r
Angle of incidence at the interface = i'
The refractive index(6)of the inner core-outer core inter face is given as:
For the critical angle, total internal reflection (TIR) takes place only when i>i' ,i. e., i >59°
Maximum angle of maximum angle of incidence.
The refractive index at the air-glass interface μ1=1.68
We have the relation used for the maximum angles of incidence and reflection as:
Thus, all the rays incident at angles lying in the range 0 < i< 60°will suffer total internal reflection.
(b)If the outer covering of the pipe is not present then:
Refractive index of the outer pipe,
For the angle of incidence i=90°,we can write Snell's law at the air-pipe interface as:
While i'> r all incident rays will suffer total internal reflection.