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An introduction to metamaterials and waves in composites

My book on metamaterials, "An introduction to metamaterials and waves in composites" has been published on June 16, 2011 by CRC Press (Taylor and Francis).

The book is meant for students, researchers, engineers, and educators who want to get a basic grounding on the theory that is the basis of recent excitement about negative materials, cloaking, transformation optics/acoustics and other wave phenomena in composites.

Unlike other books that deal only with electromagnetic metamaterials, this book focuses on elastodynamics and acoustics in addition to electrodynamics.  Detailed derivations are given for the benefit of the student and each chapter has a set of exercises.  Since the field is evolving rapidly, up-to-date references to recent research are also given so that the student can start exploring the scientific literature.

The table of contents and index are attached.  Please pass on this information to people who are interested in the topic and would like to teach a course on the basics of metamaterials and waves in composites.

Update Jan 2012:  Errata updated and solutions manual added.

-- Biswajit

PDF icon TOC.pdf89.44 KB
PDF icon Index.pdf64.49 KB
PDF icon MetaBookSol.pdf1.63 MB
PDF icon MetabookErrata.pdf110.72 KB


Dear Biswajit,

Congratulations on writing the book!! The contents sure seem interesting. However, since it's CRC Press, I am not sure if I would be able to afford it (esp. if it comes only in a hardcover edition).

Anyway, could you please suggest some good resources/references for Maxwell's equations in elasticity form? By "good," I mean: accessible to an advanced undergraduate student (say, one who knows electrodynamics from Griffiths but not necessarily from Jackson, and elasticity from Dieter, Barber or Sadd, but not any further advanced texts/monographs).

Thanks in advance.


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Thanks Ajit and Phil.

The original derivation can be found in one of Milton's papers from 2006-2007.  Can't recall which one off the top of my head.  

It's just a way of writing the equations which leads to an analogy between the mass density and the permittivity; and the stiffness and the magnetic permability.

A short derivation is given in

-- Biswajit



Will get in touch with Prof. Milton.

Thanks for the URL. Would have appreciated a "longer" (i.e. more explanatory) version. Especially, if the analogy was explained in reference to Maxwell's eight first-order equations.


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wallstedt's picture


Amit Acharya's picture


Quite an achievement. Impressive list of topics; seems like you put in a lot of hard work. Will try to get hold of a copy when published. Congratulations.

- Amit

It was indeed a lot of work and a bit of a struggle to keep the book from becomng an encyclopedia.

-- Biswajit

Dear Biswajit,

I find myself toying with the idea of getting into a book-writing project; so, here are a few questions for you:

1. How much time did it take? What was the overall calender time, i.e. (finish date - start date)? How many weeks/months were devoted on a full-time basis for the book-writing? 

2. If you expanded from a set of course-notes, can you give a ball-park estimate of how much percentage of the final book came more or less directly from such sources?

3. How many (major) revisions did it undergo---both before and after signing up with the publishers?

4. Did you use LaTeX? Any special tool(s) you can recommend for organizing the material? Did you use any source-code control system for the manuscript (like the CVS)?


Thanks in advance.


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Before you jump into such a project, keep in mind that there is no good monetary or professional reason for writing a technical book unless you're retired.  It's more like a hobby.  The time you take and the process you follow is entirely up to you. 

1) Time:  Around two years, mostly evenings and weekends.  More, if you count the time needed to digest the literature and work out the derivations.

2) Course notes %:  Hard to say and don't have the time to count.

3) Revisions:  Innumerable.  Didn't keep count.

4) Tools:  Lots of paper, LaTeX, vi, xpdf, xfig, epstopdf, gimp, matlab, mathematica, comsol, abaqus etc.,  no version control.  The reason for that choice is that I'm comfortable with those tools.

-- Biswajit



I will use LaTeX (mostly TeXnicCenter), some vector graphics tools, and SourceSafe. I might put out something online as the time goes. Basially, I plan to write individual articles (roughly at the level of LaTeX section/sub-section) on tens (perhaps hundreds) of topics individually, and then think of throwing them together into better organized chapters so as to make a coherent book at a later stage. What I may put online from time to time (say once in a month or two) would be the then ready working version of a topic here and there.

Two years? Who knows! I will try to keep a target of one year, but I realize that it's going to be a "moving target"!! (I wrote my PhD thesis, 1.5 lines-spaced 11 point sized ~250 pages, in about 3 months, but much was ready, already...)

More, here [^].


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My book is now available in print.  It can be ordered via

 -- Biswajit

I've added a pdf containing corrections to the published text.   A solutions manual (password protected) will soon be added.  Please send me an e-mail if you need access to the solutions manual and I'll send you the password (but only if you're faculty/professional researcher) and not a student.

-- Biswajit

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