Matrix formulation of geometric optics
We consider only beams close to the optical axis of our system all angular displacements are small sin! ! tan! ! ! all beams can be characterized by a vector
!1
optical axis
Lecture 14
10. Analytical ray tra
9.1 The Human eye Lecture 12
9.1. The human eye
Unaided Eyeglasses Color perception Seeing is probably the sense we have Even from the engineering point of view the eye is an amazing instrument Parts of the human eye Imaging of the human eye
The
Homework 3 with Solutions
1. An Ar laser emits 1 watts of continuous light (wavelength = 5.145 10-7 m) in a parallel beam of 2 mm diameter in vacuum. (Use tables in next pages, and write all units properly.) (A) What is the wavelength (in , nm, m,
Midterm Phys 352
Name:
1. (10pts) You have two lasers that can be changed in power: (1) Argon Laser
(490nm) and a (2) Krypton laser (650nm).
a. Determine the color code of a combination of 400mW from the Argon
Laser and the 200mW from the Krypton laser
Solution 10 1. An electro-optical tunable retarder (Kerr-cell) is able to produce from linear polarized light ( = 5145 ) circular polarized light by a retardation of = /4 when being switched from zero to E = 1200 volts/cm. What switching voltage mus
Matrix formulation of geometric optics
We consider only beams close to the optical axis of our system all angular displacements are small sin! ! tan! ! ! all beams can be characterized by a vector
!1
optical axis
Lecture 14
10. Analytical ray tra
Fall 2004
Modern Optics
Goals of the course The course supplies an overview of a large variety of optical phenomena and principle and gives a comprehensive introduction into the background knowledge required to take part in the optical revolution.
Fall 2004
Modern Optics
Goals of the course The course supplies an overview of a large variety of optical phenomena and principle and gives a comprehensive introduction into the background knowledge required to take part in the optical revolution.
Complex refractive index
Lecture 7
7. Propagation of light and interaction with matter
7.1.Interaction of light with matter 7.2.Scattering 7.3.Huygens principle 7.4.Reflection and Refraction 7.5.Illustration using Huygens principle 7.6.Fermat Princi
HOMEWORK V with Solutions
1. (A) From the given location of C1 and C2 and the values of R1, R2, n, and d of the thick lens shown in Fig.1, determine its focal length, the location of its focal points, and principal planes. (Use the concepts and relat
Homework 8 with Solutions (1) Using Stokes Vectors and Mller Matrices calculate the output polarization for an input polarzation of 45o after the following for elements in series i. Polarizer at 600 ii. Polarizer at 45o iii. /2 plate oriented with sl
HOMEWORK 2 with Solutions 1(a) A light beam is incident perpendicular on face A of an unsymmetric 30 prism of refractive index n = 1.5 as indicated. Determine with the appropriate laws and describe with a sketch how the beam propagates, considering b
1. (A) Find the thicknesses of a particular birefringent crystal (n1 = 1.4737 and n2 = 1.4714) needed to produce /4, /2, and retardation plates, respectively, for the Argon laser line ( = 488 nm).
Retardation = d(n1 n2)
d = (n1 n2)
where (n
1.
You have available a source of unpolarized light (intensity Io) and a number of "perfect" linear polarizers (each of them transmitting without losses all the light polarized parallel to its "transmission axis" and blocking totally all light polar
Let's go back to the reflection and refraction problem
The evanescent wave
Without a transmitted wave we have problem The boundary condition cannot be fulfilled
Lecture 9
7.7 TIR cont. 7.8 Metals 8 Geometric Optics
We need a transmitted wave w
Fourier Optics
Fourier optics methods can be visualized by considering the Fraunhofer diffraction pattern of a single slit. The diffraction process transforms the slit in the object plane to a diffraction pattern in the distant image plane. This diff
Fall 2004
Modern Optics
Goals of the course The course supplies an overview of a large variety of optical phenomena and principle and gives a comprehensive introduction into the background knowledge required to take part in the optical revolution.
Complex refractive index
Lecture 7
7. Propagation of light and interaction with matter
7.1.Interaction of light with matter 7.2.Scattering 7.3.Huygens principle 7.4.Reflection and Refraction 7.5.Illustration using Huygens principle 7.6.Fermat Princi
9.3. Magnification
Definition of magnification for optical systems
Lecture 13
9. Optical Systems
9.3 Magnification 9.4 Magnifier Glass and other eyepieces 9.5. Microscope 9.6. Telescope
In the optical system we are discussing in the following we
4. Electromagnetic fields
Maxwell equations:
Lecture 3
4. Electromagnetic Fields 5. Basic idea of Quantum Electrodynamics
(Differential form):
r r "#D= $ r "#B =0 r &B "% E+ =0 &t r &D "%H =J + &t
r r D =" E dielectric constant r r B = H permeab
HOMEWORK V with Solutions
1. (A) From the given location of C1 and C2 and the values of R1, R2, n, and d of the thick lens shown in Fig.1, determine its focal length, the location of its focal points, and principal planes. (Use the concepts and relat
Homework 8 with Solutions (1) Using Stokes Vectors and Mller Matrices calculate the output polarization for an input polarzation of 45o after the following for elements in series i. Polarizer at 600 ii. Polarizer at 45o iii. /2 plate oriented with sl
Fresnel Diffraction Lecture 25
Near field We can no longer consider only plane wave fronts The curvature of the wave front depends on how far away the point source is from the obstruction object
Fresnel-Kirchhoff Diffraction Integral
Correct
7. Propagation of light and interaction with matter Lecture 5
7.1.Interaction of light with matter 7.2.Scattering 7.3.Huygens principle 7.4.Reflection and Refraction 7.5.Illustration using Huygens principle 7.6.Fermat Principle 7.7. Electromagnetic A
HOMEWORK 2 with Solutions 1(a) A light beam is incident perpendicular on face A of an unsymmetric 30 prism of refractive index n = 1.5 as indicated. Determine with the appropriate laws and describe with a sketch how the beam propagates, considering b
Winter 1996
HOMEWORK 4 with Solutions
1. Find the image of the object for the single concave mirror system shown in Fig.1 (see next pages for worksheets) by: (a) measuring the radius R and calculating the focal length for the concave mirror, (b) dra
Winter 1996
HOMEWORK 4 with Solutions
1. Find the image of the object for the single concave mirror system shown in Fig.1 (see next pages for worksheets) by: (a) measuring the radius R and calculating the focal length for the concave mirror, (b) dra
Winter 1996
HOMEWORK 4 with Solutions
1. Find the image of the object for the single concave mirror system shown in Fig.1 (see next pages for worksheets) by: (a) measuring the radius R and calculating the focal length for the concave mirror, (b) dra
Aberrations
Monochromatic
Lecture 11
Spherical Aberration Coma Astigmatism Field curvature Distortion
Chromatic
Spherical Aberration
Remember:
Coma: principle planes are not planes Field curvature: focus plane is curved Astigmatism
6. Creation and detection of light
6.1 Creation
Lecture 4
6. Creation and Detection of Light 7. Propagation of light and interaction of light with matter
Linearly accelerated charges: Acceleration leads to bend electric field lines At a given poi