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[SOLVED] Materials with losses in FDTD method

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FDTD beginner

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Dear all!

Can anybody explain me is there any problems in FDTD method in case of materials with losses?
Do you know any articles or books with theoretical discussion of this topik?
 

FDTD beginner said:
Dear all!

Can anybody explain me is there any problems in FDTD method in case of materials with losses?
Do you know any articles or books with theoretical discussion of this topik?
Click to expand...

Any textbook on FDTD (Taflove, Sullivan, Elsherbeni, Kunz&Lubbers, Gedney, Uno,...) discusses conductive materials. There is no problem modelling conductive materials. The modifications are straightforward
 
Dear iyami!

Thank you very much for your comment!

I quickly look through Taflove and Sullivan and found that they discuss conductive materials in one-dimensional case.
And what if I would like to simulate photonic crystal with woodpile structure that was considered in Taflove's "13.8.1 Photonic Bandgap Structures" but with metalic rods. Do I correctly understand that the only problem is to extent equations for conductive materials to three dimensional case? Maybe it had already been done? Do you know any similar articles or books?
 

FDTD beginner said:
Dear iyami!

Thank you very much for your comment!

I quickly look through Taflove and Sullivan and found that they discuss conductive materials in one-dimensional case.
And what if I would like to simulate photonic crystal with woodpile structure that was considered in Taflove's "13.8.1 Photonic Bandgap Structures" but with metalic rods. Do I correctly understand that the only problem is to extent equations for conductive materials to three dimensional case? Maybe it had already been done? Do you know any similar articles or books?
Click to expand...

Section 3 already has the 3d code for conductive materials (section 3.6.3 in the 3rd edition). Whenever your code looks like E(n+1) = c*E(n) + c'*(Del x H) and c != 1 then you are using already conductive materials (c != 1 <==> sigma != 0 <==> material is conductive).
 
Dear iyami!

Unfortunately, we have only Taflove's 2nd edition in our library.
It would take a lot of time to get this book.
If it is possible, may i ask you to send me section 3.6.3 to my email AnRu1@Yandex.ru

Many thanks in advance!:smile:
 

FDTD beginner said:
Dear iyami!

Unfortunately, we have only Taflove's 2nd edition in our library.
It would take a lot of time to get this book.
If it is possible, may i ask you to send me section 3.6.3 to my email AnRu1@Yandex.ru

Many thanks in advance!:smile:
Click to expand...

It is the same section in the 2nd edition (starting at p.80)
 
Dear iyami!

Thank you very much for your help!

I have one more question. What if I would like to investigate photonic crystal with metalic rods in optical frequency band. Do I correctly understand that according to Kramers–Kronig relation material will be frequency dependent in this region? Does FDTD method applicable in this case or I should use one of its modifications?
 

FDTD beginner said:
Dear iyami!

Thank you very much for your help!

I have one more question. What if I would like to investigate photonic crystal with metalic rods in optical frequency band. Do I correctly understand that according to Kramers–Kronig relation material will be frequency dependent in this region? Does FDTD method applicable in this case or I should use one of its modifications?
Click to expand...

1) epsilon + sigma for metals are frequency dependent in that region
2) see chapter 9 in Taflove for ways to model dispersive materials
3) if you consider a single frequency at a time and if epsilon >= 1.0 and sigma >= 0.0 standard FDTD can be used
 
Dear iyami, many thanks for your help!

At this point I don't have new questions.
 
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