Answered: d²r 1 dn dz² n dr n(r) =< - While in…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Question

Explain these equations in a basic manner.

$d²r 1 dn dz² n dr n(r) = While in general any profile is possible, for simplicity we will choose a parabolic profile (shown in figure 6.3), √40[1-6 -A' n₁(1-A')=n₂ ⇒r≥a - non₂ no Differentiating the upper part of Equation 73, A'= dn dr where no is the refractive index in the centre of the fibre and n, is the cladding refractive index. Also d²r dz² a Substituting into equation 72 and using the fact that == ➡ra 2nor A a 2r A' (72) n(r) no (73) (74) (75) ≈ 1 we can write (76)$

Transcribed Image Text:d²r 1 dn dz² n dr n(r) = While in general any profile is possible, for simplicity we will choose a parabolic profile (shown in figure 6.3), √40[1-6 -A' n₁(1-A')=n₂ ⇒r≥a - non₂ no Differentiating the upper part of Equation 73, A'= dn dr where no is the refractive index in the centre of the fibre and n, is the cladding refractive index. Also d²r dz² a Substituting into equation 72 and using the fact that == ➡ra 2nor A a 2r A' (72) n(r) no (73) (74) (75) ≈ 1 we can write (76)

Expert Solution