A Macroscopic field - seeking a thorough exposition

[coquelicot]

TL;DR Summary

I'm seeking a thorough exposition of the definition of the macroscopic EM field

Of the classical books about EM, I found that Jackson's is the only one that touches with some rigour the subject of deriving the macroscopic field from the microscopic one.
Unfortunately, I am quite disappointed by the derivation of Jackson.
In the reference he gives, he says that a couple of authors have spent their lives about this subject, but I was unable to find their book.

Do you know a rigorous and thorough exposition of this matter? I am not looking for a vague "diagrammatic" persuasion, but something closer to the state of the art on this subject.

 

[Philip Koeck]

TL;DR Summary: I'm seeking a thorough exposition of the definition of the macroscopic EM field

Of the classical books about EM, I found that Jackson's is the only one that touches with some rigour the subject of deriving the macroscopic field from the microscopic one.
Unfortunately, I am quite disappointed by the derivation of Jackson.
In the reference he gives, he says that a couple of authors have spent their lives about this subject, but I was unable to find their book.

Do you know a rigorous and thorough exposition of this matter? I am not looking for a vague "diagrammatic" persuasion, but something closer to the state of the art on this subject.

Maybe this, but it's in German:
https://static.uni-graz.at/fileadmi.../mitter_heinrich/Dokumente/Elektrodynamik.pdf

From p. 126 and 163

 

[coquelicot]

Yes, German is a problem for me, but I had a look at the formulae; that seems rather descriptive. I am in doubt this is a thorough exposition of the matter.

 

[Frabjous]

These might be of interest
Macroscopic Electromagnetism by Robinson
Electrodynamics of Continuous Media by Landau
A Development of the Equations of Electromagnetism in Material Continua by Tiersten
Electrodynamics of Continua by Eringen and Maugin
Electrodynamics of Moving Media by Penfield and Haus
The Maxwell Equations by de Groot

 

[coquelicot]

All of these deal about the topic? or are they just books on EM?

 

[Frabjous]

None of these are “standard” EM books. They are all focused on continuous media.
I would guess that de Groot and Robinson would be of most interest to you. I believe that there are additional de Groot references that I do not have handy.

 

[coquelicot]

OK thx. I've already read Landau, and no, it does not contain the deal.

 

[raisins]

I would check out Ch. 3 of Wald's book on electromagnetism. He gives a very nice derivation.

 

[Frabjous]

Here's the preface from de Groot

 

[Frabjous]

Here's the preface from Robinson

 

[coquelicot]

Nice ! Robinson seems to be my man, as he writes exactly what I thought in his preface. Groot may be in contradiction with Robinson, that is, he may derive things in the classical erroneous way. But I don't know I have to read to have an opinion.

 

[coquelicot]

De Groot book seems difficult to obtain, do you have a link? :-)

 

[Frabjous]

Sorry. That was a scan from my hard copy.