Transfer Matrix Method Explained

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The Matrix Transfer method allows us to easily calculate the reflectance and transmittance of multilayer structures. I talk about why we might want to (and indeed why we NEED to) use it, how the transfer matrix is actually derived, and how to calculate the total reflection and transmission of your structure using the transfer matrix.
Hope you found this video helpful, please post in the comments below anything I can do to improve future videos, or suggestions you have for future videos.

Опубликовано:

12 окт 2024

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Комментарии : 45

@copter2000 4 месяца назад

I was confuse for hours. A 16 minutes of your explanation is all it took to clear thing up. Thank you.

@vigneshjeyachandran1862 4 года назад

this is the only video that explains this properly.Really appreciate it, brother!

@14clery 4 года назад

Simple yet great explanation. thank you!

@ananyaverma6858 3 года назад

Amazing video. Can't praise enough.

@paulsu7905 5 лет назад

Very nice explained! Thank you!

@andrewye7631 3 года назад

Thanks for the explanation!

@ketankarkare6180 3 года назад

Hello, that is really an amazing video and really enjoyed the explanation , though I would like to know that the ro1 and to1 terms in the matrix for the transmission matrix are the reflectance and transmission coefficients that we have for the Fresnel equations in two medium systems

@hesamdolatabadi103 3 года назад

Hi. Very impressive video. Thank you very much.

@JordanEdmundsEECS 2 года назад

Thanks!

@andyalice6673 2 года назад

thanks for this video

@rohitraj4275 Месяц назад

Thanks!

@ndjarnag Месяц назад

this is good.

@lishint4475 Год назад

Thank you so muchhh❤

@usmanalikhan8440 Год назад

Sir ! I really appreciate you for your effort . I've a question . when we use such a TMM method to study the optical parameters of crystalline material even with single layer ,we can't do it without elementary experimental data about certain material .If this method is independent of experimental data then Could you explain how?

@karthikasankar9215 4 года назад

Good explanation sir. Can you please share the matlab code for transfer matrix method for bragg stacks ?

@ananyaverma6858 3 года назад

Same.

@pavelkolesnichenko3210 2 года назад

Hi Jordan, thanks for the great video! Is it possible to deal with ultrashort pulses within the transfer matrix method?

@JordanEdmundsEECS 2 года назад

What a brilliant question. Yes, you should be able to deal with ultrashort pulses by Fourier Transforming the input pulse, you can see what the "input frequencies" are. The TMM worksata single frequency, so you'll need to use the TMM as a function of frequency. Then, multiply the Fourier-Transformed pulses by the frequency-dependent output of the transfer matrix method, and inverse Fourier Transform the whole thing. (in practice, you will use the DTFT for this).

@Physicsbyshalu 5 лет назад

Sir , can you explain the transfer matrix terms in synchrotron magnets in accelerator physics

@pintugorai2530 3 года назад

Hello Sir, Please suggest the book where from I can get the details derivation

@kenken6012 Год назад

you have a matlab intepretation of the transfer matrix method?

@lameckkaniki2433 5 лет назад

hello Sir.. really enjoyed the explanation. can this method be used in a sound absorption/ reduction problem for a sandwiched structure ?

@JordanEdmundsEECS 5 лет назад

Yessir, all you need to do is replace the refractive index with a complex-valued number, and recalculate the propagation and transmission matrices.

@Amjadjammal-q3x 8 месяцев назад

Thanks a lot and I would love to it as pdf if you could to follow accurately

@pmcate2 4 года назад

@4:40 you say that if we have this matrix we don't need to worry about infinite reflections. But is this really because of the transfer matrix method? The reason that we don't have infinite reflections is because we are working in the frequency domain, not the time domain.

@JordanEdmundsEECS 3 года назад

Yes, absolutely. I like to think of the frequency domain as the limit of longer and longer time domain 'thought experiments' (when we are concerned with a single frequency) as I have a hard time wrapping my head around things that don't happen in time :)p

@priyankasuryawanshi566 2 года назад

sir will you please explain this method of transfer matrix for calculation of sound absorption of a multilayer structure.

@JordanEdmundsEECS 2 года назад

Great question, the math is exactly the same. The only thing that is different is the velocity of the wave (it’s the velocity of sound in the medium), but you can then calculate k with the standard dispersion relation (w/k = v).

@urjitmahajan1316 2 года назад

than k u sir !

@adarshrajaofficial 5 лет назад

hi Jordan! do you know how one can derive the transfer matrix method from maxwell's equations?

@JordanEdmundsEECS 5 лет назад

Sure, this is why plane waves are so cool. Plane waves are a solution to Maxwell’s equations. The transfer matrix method just uses plane waves as a starting point and then goes from there. The boundary conditions used by the transfer matrix method can be derived using Maxwell’s integral equations (I have videos on that as well).

@LucasRibeiro-bk3cx 5 лет назад

Hello! Great video! Would there be any reference where I could study more about?

@JordanEdmundsEECS 5 лет назад

Yeah this was a huge challenge for me as well as there aren’t that many good references. The best I have found are the original paper (below) and a book called “Optics in Layered Media” by Yeh. The original paper: www.osapublishing.org/viewmedia.cfm?uri=ao-41-19-3978&casa_token=UXZ3XP200qsAAAAA:bCDJupZg4THYtPGVEqBsYcNDWax4weQ3FpBMTAhb3qkgc7Ao71S-oLRsp2O_i7p7G3QfZDPPfeuDIjni

@LucasRibeiro-bk3cx 5 лет назад

@@JordanEdmundsEECS thanks!

@wahwahkyaw1702 4 года назад

@@JordanEdmundsEECS I can't download. Could you send me off file?

@ananyaverma6858 3 года назад

@@wahwahkyaw1702 Try using sci-hub.

@shubham1999 5 лет назад

Nice video. Sir, I wanted to ask from where should I solve problems for semiconductors, pn junctions, bjts and mosfet? I am currently using Modern Semiconductor Devices by Chenming Hu.

@JordanEdmundsEECS 5 лет назад

Personally I liked the examples in Neamen (Semi. Physics and Devices) and Pieret. I would recommend trynig to do those examples without looking at the solutions and then check whether you were correct. If you have the solutions manual for either of those books those can be used in place of examples.

@shubham1999 5 лет назад

@@JordanEdmundsEECS Sir, I am also an EE student. So, the thing I want some piece of advice from you.

@JordanEdmundsEECS 5 лет назад

Sure! If you want to master the material you are learning, don’t ever use an equation without 1. Understanding where it comes from and 2. Deriving it yourself. If you are able to do this, you will greatly reduce the amount of stuff you have to memorize and you will have a much deeper understanding of EE.