

The palette "Coplanar Elements" consists of three groups of elements: Coplanar Transmission Lines, Coplanar Discontinuities and Coplanar Lumped Elements.
In the Group of Coplanar Transmission lines, there are two elements: Coplanar Transmission Line (C_LIN) and Coplanar Inter Metal Via (C_METVIA). The Element C_METVIA is used for connection of different metal levels. All important effects such as finite ground planes, metallization thickness and the influence of backside metallization can be taken into account. The conductor as well as dielectric losses are considered and the line attenuation is calculated for both DC and RF cases. For these two elements a distributive equivalent circuit is used (see Table 51). As a results, the simulation of these elements is valid even for frequencies beyond the l/4 frequency.
Coplanar Transmission Lines  
Name  Physical  Equivalent Circuit 
C_LIN
Coplanar Transmission Line 

C_METVIA
Coplanar Inter Metal Via 
Table 51: Coplanar Transmission Lines in COPLAN for Libra and their equivalent circuit
The Group of Coplanar Discontinuities consists of all usual discontinuities with and without airbridges (see Tables 52a and 52b). There are 9 Elements in this group: Coplanar Open (C_OPEN) with and without connected ground planes, Coplanar Short (C_SHORT), Coplanar Gap (C_GAP), Coplanar Step (C_STEP), Coplanar Taper (C_TAPER), Coplanar AirBridge (C_AIR), Coplanar Bend (C_BEND), Coplanar TeeJunction (C_TEE) and Coplanar CrossJunction (C_CROSS). All junctions can have arbitrary arrangement and combination of feed lines and air bridge types at ports. The equivalent circuits used for the description of electromagnetic behavior of these elements are shown in Tables 52a and 52b.
Coplanar Discontinuities  
Name  Physical  Equivalent Circuit 
C_OPEN
Coplanar Open 

C_SHORT
Coplanar Short 

C_GAP Coplanar Gap 

C_STEP
Coplanar Step 

C_TAPER
Coplanar Taper 
Table 52a: Coplanar Discontinuities in COPLAN for Libra and their equivalent circuit
Coplanar Discontinuities (With airbridges)  
Name  Physical  Equivalent Circuit 
C_AIR Coplanar AirBridge 

C_BEND
Coplanar Bend 

C_TEE Coplanar TeeJunction 

C_CROSS
Coplanar CrossJunction 
Table 52b: Coplanar Discontinuities (with air bridges) in COPLAN for Libra and their equivalent circuit
The group of Coplanar Lumped Elements contains the most used elements. There are 6 elements in this group: Coplanar Interdigitated Capacitor (C_IDC), Coplanar Rectangular Spiral Inductor (C_RIND), Coplanar ThinFilm Resistor as series (C_TFR) or shunt resistor (C_TFG) and Coplanar MIMCapacitor as series (C_MIM) or shunt capacitor (C_CAPLIN). Tables 53a and 53b show the coplanar lumped elements and their equivalent circuits.
Coplanar lumped elements  
Name  Physical  Equivalent Circuit 
C_IDC Coplanar Interdigital Capacitor 

C_RIND
Coplanar Rectangular Inductor 
Table 53a: Coplanar Lumped Elements in COPLAN for Libra and their equivalent circuit
Coplanar lumped elements  
Name  Physical  Equivalent Circuit 
C_MIM Coplanar MIMCapacitor 

C_CAPLIN
Coplanar MIMCapacitor to Ground 

C_TFR Coplanar Thinfilm Resistor 

C_TFG Coplanar Thinfilm Resistor to Ground 
Table 53b: Coplanar Lumped Elements in COPLAN for Libra and their equivalent circuit