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kprokopi / Explicit-FDTD-Schemes

Explicit FDTD schemes for the numerical modelling of dispersive media.
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About the analytical solutions #1

Open houguilin777 opened 2 years ago

houguilin777 commented 2 years ago

Sorry, my English is not good. I want to ask about this job: Are the transmission coefficients consistent with the analytical solution

kprokopi commented 2 years ago

Sorry, I dont clearly understand you. The numerical solutions are very close to the analytical ones.

On Sat, Oct 29, 2022, 10:55 houguilin777 @.***> wrote:

Sorry, my English is not good. I want to ask about this job: Are the transmission coefficients consistent with the analytical solution

— Reply to this email directly, view it on GitHub https://github.com/kprokopi/Explicit-FDTD-Schemes/issues/1, or unsubscribe https://github.com/notifications/unsubscribe-auth/ABXM4XD7DDENJZMSOR2BT33WFTJ5ZANCNFSM6AAAAAARRVQ7QA . You are receiving this because you are subscribed to this thread.Message ID: @.***>

houguilin777 commented 2 years ago

I'm a green hand. Your code only shows numerical results. It's hard for me to know how to solve it analytically, right. If you can get analytical solutions in one dimension. Can you could teach me something? I'm sorry to bother you

少年锦时 @.***

 

------------------ 原始邮件 ------------------ 发件人: "kprokopi/Explicit-FDTD-Schemes" @.>; 发送时间: 2022年10月29日(星期六) 下午4:01 @.>; @.**@.>; 主题: Re: [kprokopi/Explicit-FDTD-Schemes] About the analytical solutions (Issue #1)

Sorry, I dont clearly understand you. The numerical solutions are very close to the analytical ones.

On Sat, Oct 29, 2022, 10:55 houguilin777 @.***> wrote:

> Sorry, my English is not good. > I want to ask about this job: Are the transmission coefficients consistent > with the analytical solution > > — > Reply to this email directly, view it on GitHub > <https://github.com/kprokopi/Explicit-FDTD-Schemes/issues/1&gt;, or > unsubscribe > <https://github.com/notifications/unsubscribe-auth/ABXM4XD7DDENJZMSOR2BT33WFTJ5ZANCNFSM6AAAAAARRVQ7QA&gt; > . > You are receiving this because you are subscribed to this thread.Message > ID: @.***> >

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houguilin777 commented 2 years ago

I hope FDTD can solve real problems, but I don't get real solutions in the book. With only some electromagnetic propagation information, I can't tell right from wrong

少年锦时 @.***

 

------------------ 原始邮件 ------------------ 发件人: "kprokopi/Explicit-FDTD-Schemes" @.>; 发送时间: 2022年10月29日(星期六) 下午4:01 @.>; @.**@.>; 主题: Re: [kprokopi/Explicit-FDTD-Schemes] About the analytical solutions (Issue #1)

Sorry, I dont clearly understand you. The numerical solutions are very close to the analytical ones.

On Sat, Oct 29, 2022, 10:55 houguilin777 @.***> wrote:

> Sorry, my English is not good. > I want to ask about this job: Are the transmission coefficients consistent > with the analytical solution > > — > Reply to this email directly, view it on GitHub > <https://github.com/kprokopi/Explicit-FDTD-Schemes/issues/1&gt;, or > unsubscribe > <https://github.com/notifications/unsubscribe-auth/ABXM4XD7DDENJZMSOR2BT33WFTJ5ZANCNFSM6AAAAAARRVQ7QA&gt; > . > You are receiving this because you are subscribed to this thread.Message > ID: @.***> >

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kprokopi commented 2 years ago

hi, you may find the reflection and transmission coefficients from a slab in any book of electromagnetics e.g. Balanis' Advanced Engineering Electromagnetics. I used the following code in MATLAB (n and n0 are the impedances in the slab and in the air)

Z1=n0./n; Z2=n./n0;

%the thickness of the slab d=20e-9;

%Reflection coefficient R=((1-Z1).(1+Z2)+(1+Z1).(1-Z2).exp(-2.g.d))./((1+Z1).(1+Z2)+(1-Z1).(1-Z2).exp(-2.g.d)); %Transmission coefficient T=4.exp(1j.b0.d)./((1-Z1).(1-Z2).exp(-g.d)+(1+Z1).(1+Z2).exp(g.*d));

On Sat, Oct 29, 2022 at 11:14 AM houguilin777 @.***> wrote:

I hope FDTD can solve real problems, but I don't get real solutions in the book. With only some electromagnetic propagation information, I can't tell right from wrong

少年锦时 @.***

 

------------------ 原始邮件 ------------------ 发件人: "kprokopi/Explicit-FDTD-Schemes" @.>; 发送时间: 2022年10月29日(星期六) 下午4:01 @.>; @.**@.>; 主题: Re: [kprokopi/Explicit-FDTD-Schemes] About the analytical solutions (Issue #1)

Sorry, I dont clearly understand you. The numerical solutions are very close to the analytical ones.

On Sat, Oct 29, 2022, 10:55 houguilin777 @.***> wrote:

> Sorry, my English is not good. > I want to ask about this job: Are the transmission coefficients consistent > with the analytical solution > > — > Reply to this email directly, view it on GitHub > <https://github.com/kprokopi/Explicit-FDTD-Schemes/issues/1&gt;, or > unsubscribe > < https://github.com/notifications/unsubscribe-auth/ABXM4XD7DDENJZMSOR2BT33WFTJ5ZANCNFSM6AAAAAARRVQ7QA&gt;

> . > You are receiving this because you are subscribed to this thread.Message > ID: @.***> >

— Reply to this email directly, view it on GitHub, or unsubscribe. You are receiving this because you authored the thread.Message ID: @.***>

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