Branchline Coupler - Revision history

Mlinaric: Fixes, extraction, system structure and dimensions

2023-08-29T14:48:35Z

Fixes, extraction, system structure and dimensions

← Older revision		Revision as of 14:48, 29 August 2023
Line 14:		Line 14:
	The energy excited at one port is coupled almost in equal shares to the two opposite ports, when considered as a MIMO-system.		The energy excited at one port is coupled almost in equal shares to the two opposite ports, when considered as a MIMO-system.
	Here, only the SISO case is considered.		Here, only the SISO case is considered.
	The '''branchline coupler''' with <math>0.~~05mm~~</math> thickness is placed on a substrate with <math>0.~~749mm~~</math> thickness and relative permittivity		The '''branchline coupler''' with <math>0.05 \, \text{mm}</math> thickness is placed on a substrate with <math>0.749 \, \text{mm}</math> thickness and relative permittivity
	<math> \epsilon_r = 2.2 </math> and zero-conductivity <math> \sigma = 0 S/m </math>.		<math> \epsilon_r = 2.2 </math> and zero-conductivity <math> \sigma = 0 \, \text{S/m} </math>.
	The simulation domain is confined to a <math> 23.6 \times 22 \times 7 mm^3 </math> box.		The simulation domain is confined to a <math> 23.6 \times 22 \times 7 \, \text{mm}^3 </math> box.
	The metallic ground plane of the device is represented by the electric boundary condition. The magnetic boundary		The metallic ground plane of the device is represented by the electric boundary condition. The magnetic boundary
	condition is considered for the other sides of the structures. The discrete input port with source impedance <math>50 \Omega</math>		condition is considered for the other sides of the structures. The discrete input port with source impedance <math>50 \, \Omega</math>
	imposes <math>1 A</math> current as the input. The voltage along the coupled port at the end of the other side of the coupler is		imposes <math>1 \, \text{A}</math> current as the input. The voltage along the coupled port at the end of the other side of the coupler is
	read as the output.		read as the output.

Line 41:		Line 41:
	:<math> \Theta^2(\omega, \mu_r) = -\omega^2. </math>		:<math> \Theta^2(\omega, \mu_r) = -\omega^2. </math>

	The parameter domain of interest is <math> \omega \in [1.0, 10.0] * 10^9 Hz</math>, where the factor of <math> 10^9 </math> has already been taken into account		The parameter domain of interest is <math> \omega \in [1, 10] \cdot 10^9 \, \text{Hz}</math>, where the factor of <math> 10^9 </math> has already been taken into account
	while assembling the matrices, while the material variation occurs between <math> \mu_r \in [0.5, 2.0] </math>. The input functional also has a factor of <math> \omega </math>.		while assembling the matrices, while the material variation occurs between <math> \mu_r \in [0.5, 2.0] </math>. The input functional also has a factor of <math> \omega </math>.

			==Origin==

			The models have been developed within the [http://www.moresim4nano.org MoreSim4Nano project].

	==Data==		==Data==

	The files are numbered according to their appearance in the summation and can be found here:		The files are numbered according to their appearance in the summation and can be found here:
	~~Part1~~
	~~[[Media:branchline_part1.zip\|branchline_part1.zip]]~~
	~~Part2~~
	~~[[Media:branchline_part2.zip\|branchline_part2.zip]]~~
	~~Part3~~
	~~[[Media:branchline_part3.zip\|branchline_part3.zip]]~~

	==~~Origin~~==		* [[Media:branchline_part1.zip\|branchline_part1.zip]]
			* [[Media:branchline_part2.zip\|branchline_part2.zip]]
			* [[Media:branchline_part3.zip\|branchline_part3.zip]]

			Unzipping these files individually will extract:

			* <tt>branchline_coupler_MORwiki_matrices.7z.001</tt>
			* <tt>branchline_coupler_MORwiki_matrices.7z.002</tt>
			* <tt>branchline_coupler_MORwiki_matrices.7z.003</tt>

			Extracting those will then give:

			* <tt>BranchlineCoupler_A1.mtx</tt>
			* <tt>BranchlineCoupler_A2.mtx</tt>
			* <tt>BranchlineCoupler_Input.mtx</tt>
			* <tt>BranchlineCoupler_Output.mtx</tt>
			* <tt>BranchlineCoupler_L2.mtx</tt>
			* <tt>BranchlineCoupler_Hcurl.mtx</tt>

			==Dimensions==

			System structure:

			:<math>
			\begin{align}
			(\Theta_1(\omega, \mu_r) A_1 + \Theta_2(\omega, \mu_r) A_2) x(\omega, \mu_r) & = b \\
			y(\omega, \mu_r) & = c^T x(\omega, \mu_r)
			\end{align}
			</math>

			System dimensions:

	~~The models have been developed within the [http:~~//~~www.moresim4nano.org MoreSim4Nano project]~~.		<math>A_1, A_2 \in \mathbb{R}^{27679 \times 27679}</math>,
			<math>b, c \in \mathbb{R}^{27679 \times 1}</math>.

	==Citation==		==Citation==
Line 74:		Line 103:

	* For the background on the benchmark:		* For the background on the benchmark:
	@ARTICLE{morHesB13,
	author = {M.~W. Hess and P. Benner},		@ARTICLE{morHesB13,
	title = {Fast Evaluation of Time-Harmonic {M}axwell's		author = {M.~W. Hess and P. Benner},
	Equations Using the Reduced Basis Method},		title = {Fast Evaluation of Time-Harmonic {M}axwell's Equations Using the Reduced Basis Method},
	~~journal~~ = {{IEEE} Trans. Microw. Theory Techn.},		journal = {{IEEE} Trans. Microw. Theory Techn.},
	year = 2013,		year = 2013,
	volume = 61,		volume = 61,
	number = 6,		number = 6,
	pages = {2265--2274},		pages = {2265--2274},
	doi = {10.1109/TMTT.2013.2258167}		doi = {10.1109/TMTT.2013.2258167}
	}		}


	==References==		==References==

Lund: remove link

2023-05-11T12:23:33Z

remove link

← Older revision		Revision as of 12:23, 11 May 2023
Line 13:		Line 13:
	A 2-section '''branchline coupler''' consists of four strip line ports, coupled to each other by two transversal bridges.		A 2-section '''branchline coupler''' consists of four strip line ports, coupled to each other by two transversal bridges.
	The energy excited at one port is coupled almost in equal shares to the two opposite ports, when considered as a MIMO-system.		The energy excited at one port is coupled almost in equal shares to the two opposite ports, when considered as a MIMO-system.
	Here, only the ~~[[List_of_abbreviations#~~SISO~~\|SISO]]~~ case is considered.		Here, only the SISO case is considered.
	The '''branchline coupler''' with <math>0.05mm</math> thickness is placed on a substrate with <math>0.749mm</math> thickness and relative permittivity		The '''branchline coupler''' with <math>0.05mm</math> thickness is placed on a substrate with <math>0.749mm</math> thickness and relative permittivity
	<math> \epsilon_r = 2.2 </math> and zero-conductivity <math> \sigma = 0 S/m </math>.		<math> \epsilon_r = 2.2 </math> and zero-conductivity <math> \sigma = 0 S/m </math>.

Lund: remove link to abbreviations

2023-05-11T12:20:27Z

remove link to abbreviations

← Older revision		Revision as of 12:20, 11 May 2023
Line 12:		Line 12:
	A '''branchline coupler''' (see Fig. 1) is a microwave semiconductor device, which is simulated by the [http://www.maxwells-equations.com/forms.php#harmonic time-harmonic Maxwell's equation].		A '''branchline coupler''' (see Fig. 1) is a microwave semiconductor device, which is simulated by the [http://www.maxwells-equations.com/forms.php#harmonic time-harmonic Maxwell's equation].
	A 2-section '''branchline coupler''' consists of four strip line ports, coupled to each other by two transversal bridges.		A 2-section '''branchline coupler''' consists of four strip line ports, coupled to each other by two transversal bridges.
	The energy excited at one port is coupled almost in equal shares to the two opposite ports, when considered as a ~~[[List_of_abbreviations#~~MIMO~~\|MIMO]]~~-system.		The energy excited at one port is coupled almost in equal shares to the two opposite ports, when considered as a MIMO-system.
	Here, only the [[List_of_abbreviations#SISO\|SISO]] case is considered.		Here, only the [[List_of_abbreviations#SISO\|SISO]] case is considered.
	The '''branchline coupler''' with <math>0.05mm</math> thickness is placed on a substrate with <math>0.749mm</math> thickness and relative permittivity		The '''branchline coupler''' with <math>0.05mm</math> thickness is placed on a substrate with <math>0.749mm</math> thickness and relative permittivity

Himpe at 13:00, 25 August 2022

2022-08-25T13:00:30Z

← Older revision		Revision as of 13:00, 25 August 2022
Line 2:		Line 2:

	[[Category:benchmark]]		[[Category:benchmark]]
	[[Category:~~parametric 2-5 parameters~~]]		[[Category:Parametric]]
	[[Category:linear]]		[[Category:linear]]
	[[Category:time invariant]]		[[Category:time invariant]]

Himpe: Fix CrossRefs

2021-08-27T07:25:20Z

Fix CrossRefs

← Older revision		Revision as of 07:25, 27 August 2021
Line 10:		Line 10:
	==Description==		==Description==

	A '''branchline coupler''' (see ~~<xr id="fig:branch"/>~~) is a microwave semiconductor device, which is simulated by the [http://www.maxwells-equations.com/forms.php#harmonic time-harmonic Maxwell's equation].		A '''branchline coupler''' (see Fig. 1) is a microwave semiconductor device, which is simulated by the [http://www.maxwells-equations.com/forms.php#harmonic time-harmonic Maxwell's equation].
	A 2-section '''branchline coupler''' consists of four strip line ports, coupled to each other by two transversal bridges.		A 2-section '''branchline coupler''' consists of four strip line ports, coupled to each other by two transversal bridges.
	The energy excited at one port is coupled almost in equal shares to the two opposite ports, when considered as a [[List_of_abbreviations#MIMO\|MIMO]]-system.		The energy excited at one port is coupled almost in equal shares to the two opposite ports, when considered as a [[List_of_abbreviations#MIMO\|MIMO]]-system.

Himpe at 22:52, 11 August 2019

2019-08-11T22:52:36Z

← Older revision		Revision as of 22:52, 11 August 2019
Line 1:		Line 1:
			{{preliminary}} <!-- Do not remove -->

	[[Category:benchmark]]		[[Category:benchmark]]
	[[Category:parametric 2-5 parameters]]		[[Category:parametric 2-5 parameters]]

Hessm: corrected matrices

2019-08-10T07:36:19Z

corrected matrices

← Older revision		Revision as of 07:36, 10 August 2019
Line 44:		Line 44:
	==Data==		==Data==

	The files are numbered according to their appearance in the summation and can be found here: ~~[[Media:Matrices.tar.gz\|Matrices.tar.gz]]~~		The files are numbered according to their appearance in the summation and can be found here:
	Part1		Part1
	[[Media:branchline_part1.zip\|branchline_part1.zip]]		[[Media:branchline_part1.zip\|branchline_part1.zip]]

Hessm at 07:25, 10 August 2019

2019-08-10T07:25:11Z

← Older revision		Revision as of 07:25, 10 August 2019
Line 48:		Line 48:
	[[Media:branchline_part1.zip\|branchline_part1.zip]]		[[Media:branchline_part1.zip\|branchline_part1.zip]]
	Part2		Part2
	[[Media:~~bc_part2~~]]		[[Media:branchline_part2.zip\|branchline_part2.zip]]
	Part3		Part3
	[[Media:~~bc_part3~~]]		[[Media:branchline_part3.zip\|branchline_part3.zip]]

	==Origin==		==Origin==

Hessm at 07:22, 10 August 2019

2019-08-10T07:22:58Z

← Older revision		Revision as of 07:22, 10 August 2019
Line 46:		Line 46:
	The files are numbered according to their appearance in the summation and can be found here: [[Media:Matrices.tar.gz\|Matrices.tar.gz]]		The files are numbered according to their appearance in the summation and can be found here: [[Media:Matrices.tar.gz\|Matrices.tar.gz]]
	Part1		Part1
	[[Media:~~bc_part1~~]]		[[Media:branchline_part1.zip\|branchline_part1.zip]]
	Part2		Part2
	[[Media:bc_part2]]		[[Media:bc_part2]]

Hessm at 07:15, 10 August 2019

2019-08-10T07:15:21Z

← Older revision		Revision as of 07:15, 10 August 2019
Line 46:		Line 46:
	The files are numbered according to their appearance in the summation and can be found here: [[Media:Matrices.tar.gz\|Matrices.tar.gz]]		The files are numbered according to their appearance in the summation and can be found here: [[Media:Matrices.tar.gz\|Matrices.tar.gz]]
	Part1		Part1
	[[Media:~~Part1~~]]		[[Media:bc_part1]]
	Part2		Part2
	[[Media:~~Part2~~]]		[[Media:bc_part2]]
	Part3		Part3
	[[Media:~~Part3~~]]		[[Media:bc_part3]]


	==Origin==		==Origin==