Download presentation

Presentation is loading. Please wait.

Published byAnnabella Armstrong Modified over 2 years ago

1
Geometrical Optics for 1 st year Physics Honours Course By Arnab Gangopadhyay

2
Light The light, with which we see, is a small part of the vast spectrum of electro magnetic field.

3
Interaction of light with matter divided into three regimes. << a Geometrical Optics ~ a Physical Optics >> a EM Wave theory

4
Rays of Light The rays are defined as the wave normal The light behaves as stream of energy travelling along the rays which are directed outwards from the source. They obey the classical laws of reflection and refraction.

5
Rays of Light

6
Fermat ’ s Principle The path along which the disturbance travels from one point to another point is such that the time taken is at a stationary value

7
Refracting index is defined by =c/v The time taken by the light ray is given by t =

8
Snell ’ s law from Fermat ’ s principle

9
The total optical path is As this to be minimum, After some simple algebra, one can find

10
Geometrical Optics by Euclidean Geometry Considerations Rays considered are paraxial rays. tan = sin = can be used A co-linear relationship exists between LHS and RHS Image is said to be conjugate to the object and vice-versa Reflected ray is conjugate to the incident ray

11
Cardinal points There are total six cardinal or important plains. Principal plane: The planes at which transverse magnification is 1 Nodal plane: The planes at which the angular magnification is 1 Focal plane: The plane has its conjugate at infinity

13
The Helmholtz Lagrange Equation This equation is most fundamental equation of geometrical optics This relates r.i., angular magnification and transverse magnification between LHS and RHS of the optical system

14
n.h.tanu=n′.h′.tanu′ The Helmholtz Lagrange Equation

15
Reference 1.Geometrical and physical optics by R.S. Longhurst 2.Fundamentals of Optics by F.A. Jenkins and H.E. White. 3.Optics by A.Ghatak

Similar presentations

OK

Chapter 17 Reflection and Refraction. Ch 17.1 How light behaves at a boundary.

Chapter 17 Reflection and Refraction. Ch 17.1 How light behaves at a boundary.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on diode transistor logic fan Ppt on organic chemistry-some basic principles and techniques Ppt on diode as rectifier transformer Free ppt on motions of the earth Ppt on layer 3 switching protocols Ppt on related party transactions as per companies act 2013 Ppt on power diode Ppt on the elements of the short story Surface conduction electron emitter display ppt online Ppt on history of olympics logo