If you like to use a program then try

http://www.gsolver.com/index.html

GSovler is a full vector solution of the diffraction grating problem for arbitrarily complex periodic grating structures.

Calculates correctly (verified some years ago by myself) but has a very notfriendly interface:(

To begin with the theory (for example) - K. Watanabe

http://www.jpier.org/PIER/pier48/12.0403251.Watanabe.pdf

FAST CONVERGING AND WIDELY APPLICABLE FORMULATION OF THE DIFFERENTIAL THEORY FOR ANISOTROPIC GRATINGS

Dear Sir,

Thank you very much .

I have been using the gsolver, however as you mentioned it has no friendly interface. So I thought, I will solve maxwell's equation and code in matlab/python.

I will begin with the journal that is suggested (K. Watanabe).

May I please come back to you if I find difficulty in solving it?

Regards,

Surendra Gupta.

You are welcome!

Suppose one more book may be intresting:

Table of Contents with Web and Bibliographic Records: http://www.fresnel.fr/numerical-grating-book www.fresnel.fr/files/gratings/GratingsTheoryandNumericApplications.pdf 1. E. Popov, “Introduction to Diffraction Gratings: Summary of Applications,” ch.1 of Gratings: Theory and Numeric Applications, ed. E. Popov (Institut Fresnel, CNRS, AMU, 2012) 3 www.fresnel.fr/files/gratings/Chapter1.pdf 2. D. Maystre, “Analytic Properties of Diffraction Gratings,” ch.2 of Gratings: Theory and Numeric Applications, ed. E. Popov (Institut Fresnel, CNRS, AMU, 2012) 29 www.fresnel.fr/files/gratings/Chapter2.pdf 3. J. DeSanto, “Spectral Methods for Gratings,” ch.3 of Gratings: Theory and Numeric Applications, ed. E. Popov (Institut Fresnel, CNRS, AMU, 2012) 55 www.fresnel.fr/files/gratings/Chapter3.pdf 4. D. Maystre and E. Popov, “Integral Method for Gratings,” ch.4 of Gratings: Theory and Numeric Applications, ed. E. Popov (Institut Fresnel, CNRS, AMU, 2012) 95 www.fresnel.fr/files/gratings/Chapter4.pdf 5. G. Demésy, F. Zolla, A. Nicolet, and B. Vial, “Finite Element Method,” ch.5 of Gratings: Theory and Numeric Applications, ed. E. Popov (Institut Fresnel, CNRS, AMU, 2012) 153 www.fresnel.fr/files/gratings/Chapter5.pdf 6. B. Stout, “Spherical harmonic Lattice Sums for Gratings,” ch.6 of Gratings: Theory and Numeric Applications, ed. E. Popov (Institut Fresnel, CNRS, AMU, 2012) 203 www.fresnel.fr/files/gratings/Chapter6.pdf 7. E. Popov, “Differential Theory of Periodic Structures,” ch.7 of Gratings: Theory and Numeric Applications, ed. E. Popov (Institut Fresnel, CNRS, AMU, 2012) 247 www.fresnel.fr/files/gratings/Chapter7.pdf 8. G. Granet, “Coordinate Transformation Methods,” ch.8 of Gratings: Theory and Numeric Applications, ed. E. Popov (Institut Fresnel, CNRS, AMU, 2012) 301 www.fresnel.fr/files/gratings/Chapter8.pdf 9. F. Baida and A. Belkhir, “Finite Difference Time Domain Method For Grating Structures,” ch.9 of Gratings: Theory and Numeric Applications, ed. E. Popov (Institut Fresnel, CNRS, AMU, 2012) 333 www.fresnel.fr/files/gratings/Chapter9.pdf 10. B. Gralak, “Exact Modal Methods,” ch.10 of Gratings: Theory and Numeric Applications, ed. E. Popov (Institut Fresnel, CNRS, AMU, 2012) 371 www.fresnel.fr/files/gratings/Chapter10.pdf 11. S. Guenneau, R. Craster, Tr. Antonakakis, K. Cherednichenko, and Sh. Cooper, “Homogenization Techniques for Periodic Structures,” ch.11 of Gratings: Theory and Numeric Applications, ed. E. Popov (Institut Fresnel, CNRS, AMU, 2012) 395 www.fresnel.fr/files/gratings/Chapter11.p

Regards,

Konstantin

Dear Sir,

Thanks a lot.

Regards,

Surendra Gupta.