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• Waves in composites and metamaterials/TE waves in multilayered media
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' While considering a single interface between two layers (in the ...
  10 KB (1,677 words) - 03:02, 7 September 2011
• Waves in composites and metamaterials/Bloch waves in elastodynamics and bubbly fluids
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' In the previous lecture we discussed Bloch wave solutions for ...
  32 KB (4,701 words) - 03:04, 7 September 2011
• Waves in composites and metamaterials/Fading memory and waves in layered media
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' In the previous lecture, we discussed viscoelastic materials and ...
  13 KB (2,142 words) - 06:25, 8 April 2012
• Waves in composites and metamaterials/Waves in layered media and point sources
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' and ...
  18 KB (2,873 words) - 03:03, 7 September 2011
• Waves in composites and metamaterials/Acoustic metamaterials and negative moduli
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' ==Acoustic Metamaterials== ...
  14 KB (2,212 words) - 11:01, 19 March 2024
• Waves in composites and metamaterials/Bloch waves and the quasistatic limit
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' In the previous lecture we showed that Maxwell's equations at fixed ...
  19 KB (2,836 words) - 03:04, 7 September 2011
• Waves in composites and metamaterials/Rainbows
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' Rainbows and other atmospheric effects related to rainbows are some ...
  16 KB (2,723 words) - 08:15, 27 April 2024
• Waves in composites and metamaterials/Maxwell equations in media
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' ==Maxwell's Equations in Media== ...
  16 KB (2,430 words) - 16:06, 6 October 2023
• Waves in composites and metamaterials/Transformation-based cloaking in electromagnetism
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' In this lecture we will give a brief description of cloaking in the ...
  18 KB (2,731 words) - 03:06, 7 September 2011
• Waves in composites and metamaterials/Transformation-based cloaking in mechanics
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' In the previous lecture we showed that for a material with a real, ...
  16 KB (2,288 words) - 03:06, 7 September 2011
• Waves in composites and metamaterials/Duality relations and phase interchange identity in laminates
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' ==Duality Relations in Two Dimensions== ...
  23 KB (3,242 words) - 03:05, 7 September 2011
• Waves in composites and metamaterials/Airy theory
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' ...one of which is the existence of supernumerary bands of alternating green and purple. ...
  12 KB (2,059 words) - 16:34, 25 February 2018
• Waves in composites and metamaterials/Fresnel equations
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' One of the first questions that arise in the homogenization of composites ...
  30 KB (4,757 words) - 21:35, 6 March 2022
• Waves in composites and metamaterials/Willis equations for elastodynamics
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' In the previous lecture introduced the Willis equations ...
  26 KB (3,639 words) - 03:07, 7 September 2011
• Waves in composites and metamaterials/Anisotropic mass and generalization
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' system with mass <math>m</math> and complex spring constant <math>K</math> (see ...
  25 KB (3,962 words) - 03:00, 7 September 2011
• Waves in composites and metamaterials/Elastodynamics and electrodynamics
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' Recall from the previous lecture that the average rate of work done in a cycle ...
  20 KB (2,985 words) - 03:01, 7 September 2011
• Waves in composites and metamaterials/Continuum limit and propagator matrix
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' For a a multilayered medium with <math>N</math> layers, we found that in the <math>j</math>-th ...
  16 KB (2,656 words) - 21:46, 6 March 2022
• Waves in composites and metamaterials/Mie theory and Bloch theorem
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' Recall the sphere shown in Figure 1. We set up our ...
  13 KB (2,059 words) - 03:04, 7 September 2011
• Waves in composites and metamaterials/Hierarchical laminates and Hilbert space formalism
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' ...ivity can be calculated using the formula of Tartar-Murat-Lurie-Cherkaev. In this lecture we extend the ideas used to arrive at that formula to hierarch ...
  22 KB (3,253 words) - 21:38, 6 March 2022
• Waves in composites and metamaterials/Point sources and EM vector potentials
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' ==Expanding a point source in plane waves== ...
  20 KB (3,122 words) - 03:03, 7 September 2011

Page text matches

• Waves in composites and metamaterials/Maxwell equations in media
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' ==Maxwell's Equations in Media== ...
  16 KB (2,430 words) - 16:06, 6 October 2023
• Waves in composites and metamaterials/TE waves in multilayered media
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' While considering a single interface between two layers (in the ...
  10 KB (1,677 words) - 03:02, 7 September 2011
• Waves in composites and metamaterials/Bloch waves and the quasistatic limit
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' In the previous lecture we showed that Maxwell's equations at fixed ...
  19 KB (2,836 words) - 03:04, 7 September 2011
• Waves in composites and metamaterials/Fading memory and waves in layered media
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' In the previous lecture, we discussed viscoelastic materials and ...
  13 KB (2,142 words) - 06:25, 8 April 2012
• Waves in composites and metamaterials/Acoustic metamaterials and negative moduli
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' ==Acoustic Metamaterials== ...
  14 KB (2,212 words) - 11:01, 19 March 2024
• Waves in composites and metamaterials/Willis equations for elastodynamics
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' In the previous lecture introduced the Willis equations ...
  26 KB (3,639 words) - 03:07, 7 September 2011
• Waves in composites and metamaterials/Mie theory and Bloch theorem
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' Recall the sphere shown in Figure 1. We set up our ...
  13 KB (2,059 words) - 03:04, 7 September 2011
• Waves in composites and metamaterials/Airy theory
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' ...one of which is the existence of supernumerary bands of alternating green and purple. ...
  12 KB (2,059 words) - 16:34, 25 February 2018
• Waves in composites and metamaterials/Effective tensors using Hilbert space formalism
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' In the previous lecture we introduced the Hilbert space <math>\mathcal{H}</mat ...
  20 KB (2,789 words) - 03:06, 7 September 2011
• Waves in composites and metamaterials/Fresnel equations
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' One of the first questions that arise in the homogenization of composites ...
  30 KB (4,757 words) - 21:35, 6 March 2022
• Waves in composites and metamaterials/Continuum limit and propagator matrix
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' For a a multilayered medium with <math>N</math> layers, we found that in the <math>j</math>-th ...
  16 KB (2,656 words) - 21:46, 6 March 2022
• Waves in composites and metamaterials/Rainbows
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' Rainbows and other atmospheric effects related to rainbows are some ...
  16 KB (2,723 words) - 08:15, 27 April 2024
• Waves in composites and metamaterials/Point sources and EM vector potentials
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' ==Expanding a point source in plane waves== ...
  20 KB (3,122 words) - 03:03, 7 September 2011
• Waves in composites and metamaterials/Hierarchical laminates and Hilbert space formalism
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' ...ivity can be calculated using the formula of Tartar-Murat-Lurie-Cherkaev. In this lecture we extend the ideas used to arrive at that formula to hierarch ...
  22 KB (3,253 words) - 21:38, 6 March 2022
• Waves in composites and metamaterials/Airy solution and WKB solution
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' the permittivity and permeability are scalars and are ...
  16 KB (2,603 words) - 21:48, 6 March 2022
• Waves in composites and metamaterials/Waves in layered media and point sources
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' and ...
  18 KB (2,873 words) - 03:03, 7 September 2011
• Waves in composites and metamaterials/Transformation-based cloaking in electromagnetism
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' In this lecture we will give a brief description of cloaking in the ...
  18 KB (2,731 words) - 03:06, 7 September 2011
• Waves in composites and metamaterials/Transformation-based cloaking in mechanics
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' In the previous lecture we showed that for a material with a real, ...
  16 KB (2,288 words) - 03:06, 7 September 2011
• Waves in composites and metamaterials/Duality relations and phase interchange identity in laminates
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' ==Duality Relations in Two Dimensions== ...
  23 KB (3,242 words) - 03:05, 7 September 2011
• Waves in composites and metamaterials/Perfect lenses and negative density materials
  ...Graeme W. Milton] (University of Utah) given in a course on metamaterials in Spring 2007.''' <math>\epsilon_1,\epsilon_2</math> and permeabilities <math>\mu_1, \mu_2</math> that ...
  17 KB (2,912 words) - 16:18, 26 August 2020