In optics, the Fraunhofer diffraction equation is used to model the diffraction of waves when the diffraction pattern is viewed at a long distance from the diffracting object, and also when it is viewed at the focal plane of an imaging lens. The equation was named in honour of Joseph von Fraunhofer although he was not actually involved in the development of the theory. This article gives the equation in various mathematical forms, and provides detailed calculations of the Fraunhofer diffraction pattern for several different forms of diffracting apertures, specially for normally incident monochromatic plane wave. A qualitative discussion of Fraunhofer diffraction can be found elsewhere. (Wikipedia).
Solve a Bernoulli Differential Equation (Part 2)
This video provides an example of how to solve an Bernoulli Differential Equation. The solution is verified graphically. Library: http://mathispower4u.com
From playlist Bernoulli Differential Equations
Solve a Bernoulli Differential Equation Initial Value Problem
This video provides an example of how to solve an Bernoulli Differential Equations Initial Value Problem. The solution is verified graphically. Library: http://mathispower4u.com
From playlist Bernoulli Differential Equations
C73 Introducing the theorem of Frobenius
The theorem of Frobenius allows us to calculate a solution around a regular singular point.
From playlist Differential Equations
Ex: Solve a Bernoulli Differential Equation Using an Integrating Factor
This video explains how to solve a Bernoulli differential equation. http://mathispower4u.com
From playlist Bernoulli Differential Equations
B24 Introduction to the Bernoulli Equation
The Bernoulli equation follows from a linear equation in standard form.
From playlist Differential Equations
Fraunhofer Diffraction Explained
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From playlist Fourier Optics
Separation of variables and the Schrodinger equation
A brief explanation of separation of variables, application to the time-dependent Schrodinger equation, and the solution to the time part. (This lecture is part of a series for a course based on Griffiths' Introduction to Quantum Mechanics. The Full playlist is at http://www.youtube.com/
From playlist Mathematical Physics II - Youtube
Single-Slit Fraunhofer Diffraction
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From playlist Fourier Optics
Joseph Fraunhofer Biography: The Father of Modern Astronomy [CC]
How did Joseph Fraunhofer, a poor glassmaker, get saved from poverty by a prince and then discover spectroscopy (Fraunhofer lines), single slit diffraction AND the diffraction grating? I use primary sources to discover the background and the physics of this epoch making discovery. Links:
From playlist Early History of Spectroscopy: Astronomy
I continue the look at higher-order, linear, ordinary differential equations. This time, though, they have variable coefficients and of a very special kind.
From playlist Differential Equations
How to determine if an equation is a linear relation
👉 Learn how to determine if an equation is a linear equation. A linear equation is an equation whose highest exponent on its variable(s) is 1. The variables do not have negative or fractional, or exponents other than one. Variables must not be in the denominator of any rational term and c
From playlist Write Linear Equations
Optics: Fraunhofer diffraction - adjustable slit | MIT Video Demonstrations in Lasers and Optics
Optics: Fraunhofer diffraction - adjustable slit Instructor: Shaoul Ezekiel View the complete course: http://ocw.mit.edu/RES-6-006S08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT RES.6-006 Video Demonstrations in Lasers and Optics
PHYS 201 | Slit Diffraction 3 - Fraunhofer Diffraction
Now we set up the mathematical calculation of diffraction with Huygens-Fresnel wavelets, including the confusing concept of "field amplitude". Diffraction will be calculated in the "far field". This means we make several approximations as we set up the diffraction integral. Diffraction
From playlist PHYS 201 | Diffraction
Optics: Fraunhofer diffraction - rectangular aperture
Optics: Fraunhofer diffraction - rectangular aperture Instructor: Shaoul Ezekiel View the complete course: http://ocw.mit.edu/RES-6-006S08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT RES.6-006 Video Demonstrations in Lasers and Optics
https://www.patreon.com/edmundsj If you want to see more of these videos, or would like to say thanks for this one, the best way you can do that is by becoming a patron - see the link above :). And a huge thank you to all my existing patrons - you make these videos possible. In this video
From playlist Fourier Optics
Optics: Fraunhofer diffraction - circular apertures | MIT Video Demonstrations in Lasers and Optics
Optics: Fraunhofer diffraction - circular apertures Instructor: Shaoul Ezekiel View the complete course: http://ocw.mit.edu/RES-6-006S08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT RES.6-006 Video Demonstrations in Lasers and Optics
Moving on from Lagrange's equation, I show you how to derive Hamilton's equation.
From playlist Physics ONE
Quantum Transport, Lecture 15: Superconducting Interference
Instructor: Sergey Frolov, University of Pittsburgh, Spring 2013 http://sergeyfrolov.wordpress.com/ Summary: flux quantization, SQUIDs, pi-junctions, Fraunhofer diffraction in Josephson junctions. Quantum Transport course development supported in part by the National Science Foundation und
From playlist Quantum Transport
Solve a Bernoulli Differential Equation (Part 1)
This video provides an example of how to solve an Bernoulli Differential Equation. The solution is verified graphically. Library: http://mathispower4u.com
From playlist Bernoulli Differential Equations
Optics: Fraunhofer diffraction - thin wires | MIT Video Demonstrations in Lasers and Optics
Optics: Fraunhofer diffraction - thin wires Instructor: Shaoul Ezekiel View the complete course: http://ocw.mit.edu/RES-6-006S08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT RES.6-006 Video Demonstrations in Lasers and Optics