Coupling Efficiency. (a) A source emits light with optical power Po and a distribution I(0) (1/7)Po cos 6, where I(0) is the power per unit solid angle in the direction making an angle 6 with the axis of a fiber. Show that the power collected by the fiber is P = (NA) Po, so that the coupling efficiency is (NA), where NA is the numerical aperture of the fiber. (b) If the source is a planar light-emitting diode of refractive index n, bonded to the fiber, and the fiber cross-sectional area is larger than the LED emitting area, calculate the numerical aperture of the fiber and the coupling efficiency when n = 1.46, n2 = 1.455, and %3D
Coupling Efficiency. (a) A source emits light with optical power Po and a distribution I(0) (1/7)Po cos 6, where I(0) is the power per unit solid angle in the direction making an angle 6 with the axis of a fiber. Show that the power collected by the fiber is P = (NA) Po, so that the coupling efficiency is (NA), where NA is the numerical aperture of the fiber. (b) If the source is a planar light-emitting diode of refractive index n, bonded to the fiber, and the fiber cross-sectional area is larger than the LED emitting area, calculate the numerical aperture of the fiber and the coupling efficiency when n = 1.46, n2 = 1.455, and %3D
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
Related questions
Question
![9.1-1 Coupling Efficiency.
(a) A source emits light with optical power Po and a distribution I(0) = (1/T) Po cos 0,
where I(0) is the power per unit solid angle in the direction making an angle 0 with the
axis of a fiber. Show that the power collected by the fiber is P = (NA) Po, so that the
coupling efficiency is (NA), where NA is the numerical aperture of the fiber.
(b) If the source is a planar light-emitting diode of refractive index n, bonded to the fiber, and
the fiber cross-sectional area is larger than the LED emitting area, calculate the numerical
aperture of the fiber and the coupling efficiency when nị
3.5.
1.46, n2
1.455, and
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8217dc6-5add-4b4f-9963-2f4273cebf57%2F9052af4d-18fb-4f63-9043-0899a6e473bc%2Fprgk47x_processed.jpeg&w=3840&q=75)
Transcribed Image Text:9.1-1 Coupling Efficiency.
(a) A source emits light with optical power Po and a distribution I(0) = (1/T) Po cos 0,
where I(0) is the power per unit solid angle in the direction making an angle 0 with the
axis of a fiber. Show that the power collected by the fiber is P = (NA) Po, so that the
coupling efficiency is (NA), where NA is the numerical aperture of the fiber.
(b) If the source is a planar light-emitting diode of refractive index n, bonded to the fiber, and
the fiber cross-sectional area is larger than the LED emitting area, calculate the numerical
aperture of the fiber and the coupling efficiency when nị
3.5.
1.46, n2
1.455, and
%3D
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Introductory Circuit Analysis (13th Edition)](https://www.bartleby.com/isbn_cover_images/9780133923605/9780133923605_smallCoverImage.gif)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
![Delmar's Standard Textbook Of Electricity](https://www.bartleby.com/isbn_cover_images/9781337900348/9781337900348_smallCoverImage.jpg)
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
![Programmable Logic Controllers](https://www.bartleby.com/isbn_cover_images/9780073373843/9780073373843_smallCoverImage.gif)
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
![Introductory Circuit Analysis (13th Edition)](https://www.bartleby.com/isbn_cover_images/9780133923605/9780133923605_smallCoverImage.gif)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
![Delmar's Standard Textbook Of Electricity](https://www.bartleby.com/isbn_cover_images/9781337900348/9781337900348_smallCoverImage.jpg)
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
![Programmable Logic Controllers](https://www.bartleby.com/isbn_cover_images/9780073373843/9780073373843_smallCoverImage.gif)
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
![Fundamentals of Electric Circuits](https://www.bartleby.com/isbn_cover_images/9780078028229/9780078028229_smallCoverImage.gif)
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
![Electric Circuits. (11th Edition)](https://www.bartleby.com/isbn_cover_images/9780134746968/9780134746968_smallCoverImage.gif)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
![Engineering Electromagnetics](https://www.bartleby.com/isbn_cover_images/9780078028151/9780078028151_smallCoverImage.gif)
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,