Check out Lectures 4-6 here:
http://emlab.utep.edu/ee5390cem.htm
It steps you through TMM and provides some good references. There are recorded lectures, notes, and other resources to help you write your own TMM code. For example, there is a "Benchmarking Aid for TMM" that shows you almost all of the intermediate results for a TMM code. From this you can see the order that things are calculated and you can use it to check your code line-by-line.
Hope this helps!
Check out Lectures 4-6 here:
http://emlab.utep.edu/ee5390cem.htm
It steps you through TMM and provides some good references. There are recorded lectures on YouTube, electronic notes, and other resources to help you write your own TMM code. For example, there is a "Benchmarking Aid for TMM" that shows you almost all of the intermediate results for a TMM code. From this you can see the order that things are calculated and you can use it to check your code line-by-line.
Another thing that may be of interest to you is the finite-difference time-domain (FDTD) method. TMM is certainly more efficient for 1D structures, but FDTD is a great learning tool because you can visualize and watch the fields interact with your grating. Also, I provide a series of six "MATLAB Sessions" where I step you through writing a very powerful 1D-FDTD algorithm in MATLAB. You can find this here:
http://emlab.utep.edu/ee5390fdtd.htm
Hope this helps!
Oh yeah, for omni, check out "composite left-hand right-hand metamaterials."
Omnidirectional band gap may be obtained with specific parameter with positive index materials too for 1-D Photonic crystal.
Composite of Left-hand and right-hand metamaterial, plasma are good choice to obtain large omnidirectional photonic band gap.
Enlargement of omnidirectional total reflection frequency range in one-dimensional photonic crystals by using photonic heterostructures
X Wang, X Hu, Y Li, W Jia, C Xu, X Li et. al. - Applied physics letters, 2002
Omnidirectional gap and defect mode of one-dimensional photonic crystals with single-negative materials
LG Wang, H Chen, SY Zhu - Physical Review B, 2004
Omnidirectional photonic band gap of one-dimensional ternary plasma photonic crystals
X Kong, S Liu, H Zhang, C Li, B Bian - Journal of Optics, 2011
Omnidirectional gap and defect mode of one-dimensional photonic crystals containing negative-index materials
H Jiang, H Chen, H Li, Y Zhang, S Zhu - Applied Physics Letters, 2003
Omnidirectional band gap may be obtained with specific parameter with positive index materials too for 1-D Photonic crystal.
Composite of Left-hand and right-hand metamaterial, plasma are good choice to obtain large omnidirectional photonic band gap.
Enlargement of omnidirectional total reflection frequency range in one-dimensional photonic crystals by using photonic heterostructures
X Wang, X Hu, Y Li, W Jia, C Xu, X Li et. al. - Applied physics letters, 2002
Omnidirectional gap and defect mode of one-dimensional photonic crystals with single-negative materials
LG Wang, H Chen, SY Zhu - Physical Review B, 2004
Omnidirectional photonic band gap of one-dimensional ternary plasma photonic crystals
X Kong, S Liu, H Zhang, C Li, B Bian - Journal of Optics, 2011
Omnidirectional gap and defect mode of one-dimensional photonic crystals containing negative-index materials
H Jiang, H Chen, H Li, Y Zhang, S Zhu - Applied Physics Letters, 2003
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