Is there any formula to calculate the dimensions of metamaterial unit cell to operate at a specific frequency?
Use this formula to find the main radius of SRR since you have the operating frequency (2.4 GHz),
fo=nc/(2πr√εeff )
Where r: the main radius of the ring element, n: the mode number, 1,2,3,..., fo: the frequency (2.4GHz), ɛeff: the effective of dielectric constant, C: the speed of the light (3 x 10^8)
Inner ring : Ri=r-(w/2)
Outer ring: Ro=r+(w/2)
Coupling gap: delta(L)=0.412d(εreff +0.3)(w/d+0.264)/[(εreff −0.258)(w/d+0.8)]
where w: width of feed-line for planar and d: your substrate thickness
You can see this video as well (https://www.youtube.com/watch?v=Pi1mx_MLRWY)
Use this formula to find the main radius of SRR since you have the operating frequency (2.4 GHz),
fo=nc/(2πr√εeff )
Where r: the main radius of the ring element, n: the mode number, 1,2,3,..., fo: the frequency (2.4GHz), ɛeff: the effective of dielectric constant, C: the speed of the light (3 x 10^8)
Inner ring : Ri=r-(w/2)
Outer ring: Ro=r+(w/2)
Coupling gap: delta(L)=0.412d(εreff +0.3)(w/d+0.264)/[(εreff −0.258)(w/d+0.8)]
where w: width of feed-line for planar and d: your substrate thickness
You can see this video as well (https://www.youtube.com/watch?v=Pi1mx_MLRWY)
agreed with Rammah
Please ake care of effective permittivity and permeability very minutely
best wishes
I would like to differ as effective permittivity would eventually depend on SRR only that is why unit cell analysis is required.
hello Dr.
i have a big problem in design any shape which resonates at any selected frequency for metamaterial, i used your video presentation on youtube as a guide for me but it is not working correctly .
for ex. when i want to design at 2.5 GHz on FR-4 substrate (Epsilon_r=4.3)
without using space in the square, and the width w=0.25 mm
lamda0=125 mm
epsilon_eff=2.65
lamdaguide=38.39 mm
l1=(L1+4*w)/4 = 9.847 mm
this calculations for 2.5 GHz but the simulation using cst is resonates at 4.4 Gz ??
best regards
Mohamed
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