Show, in the paraxial approximation, that the numerical aperture is NA = sind, noad, (1.3-18) Numerical Aperture Graded-Index Fiber where la is the maximum acceptance angle for which the ray trajectory is confined within the fiber. Compare this to the numerical aperture of a step-index fiber such as the one discussed in Exercise 1.2- 5.

Question: Problem 1: Numerical aperture and resolving power a) A 40x objective has an objective when the imaging medium has a refractive index of 1 angular aperture of 40°. Calculate the numerical aperture of the b) A microscope objective has a numerical aperture of 0.75. What is the resolution when using this objective with 550 nm light?

Numerical Aperture of a Cladless Fiber. Determine the numerical aperture and the acceptance angle of an optical fiber if the refractive index of the core is n 1 = 1.46 and the cladding is stripped out (replaced with air n 2 ≈ 1).

Question: 1) Which of the following statements about numerical aperture (NA) is incorrect? Group of answer choices A. decreasing the working distance between the objective lens and the specimen increases the numerical aperture B. a large NA is good because it decreases the limit of resolution C. decreasing spherical aberration can increase the numerical aperture D.

(a) Define numerical aperture and derive an expression for numerical aperture and angle of acceptance of fibre in terms of refractive index of the core and fibre. (b) An optical fiber whose core and cladding are made of materials of refractive index 1.59 and 1.47 respectively. what is the value of numerical aperture of optical fibre.

An optical fiber has a numerical aperture of 0.20 and a cladding refractive index of 1.59. Determine the acceptance angle of the fiber in water that has a refractive index of 1.33. Determine the critical angle at the core-cladding interface. An optical fiber has a …

Question: 1.. The numerical aperture of a fiber-optic cable is 0.45. What is the critical angle? 2. A fiber-Optic cable system has a dispersion factor of 53ns/km. The length of the system is 0.75km. What is the highest data rate that can be achieved on this link?

Compare this to the numerical aperture of a step-index fiber such as the one discussed in Exercise 1.2- 5. To make the comparison fair, take the refractive indexes of the core and cladding of the step-index fiber to be ni = no and n2 ov -a2a, no(1-1 α2a2), respectively. 0o Figure 1.3-8 Acceptance angle of a graded-index optical fiber.

Question: Plot numerical aperture versus acceptance angle over the range 0 lessthanorequalto NA lessthanorequalto 0.7. Assume that the refractive index of the surrounding material is 1.0 in the calculation. Plot magnification versus the normalized object distance d_o/f.

Estimate values for the numerical aperture of the fiber when: 80 Optical fiber waveguides (a) the index profile is not (b) the index profile is assum Comment on the results. index profile is not taken into account; and dex profile is assumed to be triangular. seantance angle in air of 8°. Estima - …