Resonator Design Tool

Explore our Josephson Junction Calculator for analysis of superconducting junctions. Calculate critical current, Josephson energy, inductance and other key parameters essential for designing superconducting circuits and quantum devices. Perfect for researchers, engineers, and students in superconductivity and quantum electronics.

CPW Line Impedance Calculator

Input Parameters

Intermediate Calculations

Conductor-to-Gap Ratio (k): N/A

Complementary Modulus (k'): N/A

Elliptic Integral Ratio: N/A

Effective Permittivity

Effective Permittivity: N/A

Characteristic Impedance and Unit Length Parameters

Inductance per Unit Length (Ll): N/A

Capacitance per Unit Length (Cl): N/A

Characteristic Impedance (Z0): N/A

sqrt(Ll / Cl): N/A

Phase Velocity (vph) as a Multiple of speed of light: N/A

Resonator Parameters

Resonator Length: N/A

Wavelength: N/A

Formulas Used

The formulas used for the coplanar waveguide (CPW) resonator analysis and design are given below.
The per unit length inductance and capacitance of a CPW line can be calculated as follows. Here, K denotes the complete elliptic integral of the first kind with the arguments
The phase velocity is calculated as follows.
The resonant frequency f0 and the l length of the resonator are related as follows.

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