Design edge- and side-coupled microstrip ring resonators
- 2. Design edge and side coupled microstrip ring resonators with resonance frequency of 2.4 GHz to be excited by microstrip line with characteristic impedance of 50 ohms. Calculate frequency characteristics of these resonators. Dielectric permittivity of substrate is of 4.3 and the thickness is of 0.2cm
- 3. PCB with a patch Metal layer bonded to the opposite side of the substrate Different shapes Dielectric constant and antenna bandwidth relation Working principle- Resonant cavity Resonant cavity is equivalent to LC circuit at low frequencies
- 4. Coupling is the desirable or undesirable transfer of energy from one medium, such as a metallic wire or an optical fiber , to another medium Equivalent circuits of side-coupled ring resonator
- 5. Tendency of a system to oscillate with greater amplitude at some frequencies Resonance occurs when a system is able to store and easily transfer energy between two or more different storage modes Examples: Swing, Marching of Soldiers
- 7. harmonic waves in opposite directions incident wave reflected wave resultant wave Animations courtesy of Dr. Dan Russell, Kettering University
- 8. Allows high frequency characterization of dielectric material Range – 500Mhz to 40Ghz Provide simple relatively accurate method of measuring microwave losses and dielectric constant of substrate.
- 13. Animations courtesy of Dr. Dan Russell, Kettering University
- 14. Surface waves Effective dielectric constant Dimension of the microstrip Dimension of the ring
- 15. Surface waves are typified by a field that decays exponentially away from the dielectric surface , with most of the field contained in or near the dielectric. Because of the presence of the dielectric , the phase velocity of a surface wave is less than the velocity of light in a vacuum. Also the microstrip line will excite the surface waves
- 16. In order to calculate the radius of the ring , guided wavelength is computed using the relation where c is the speed of light and f is the desired resonant frequency Ring resonators are coupled through a gap to the microstrip line ,satisfying the resonance condition: where ，R is the mean radius of the ring and n is the harmonic order of resonance
- 17. Effective dielectric constant is given by : where d is thickness of substrate(0.2cm), w is the width of the microstrip (the same as the ring width) For a given characteristic impedance Z (50ohms) and dielectric constant of the substrate (4.3),w/d ratio can be found by : Where
- 19. Gap between microstrip line and ring ∆L=1mm Wavelength ƛ=17.34mm Width of microstrip line and ring W=3.7109mm Outer radius of the ring R1=12.85mm Inner radius of the ring R2=9.03mm
- 22. to find dielectric permittivity of material optical switch useful in the field of bio-sensing Resonators have also been used to characterize a variety of absorption spectra for the purposes of chemical identification, particularly in the gaseous phase.
- 23. Based onbasic theory of coupling and resonance, I designed two types of ring resonators edge-coupled and side-coupled microstrip resonators Simulated design using Ansoft’s HFSS which shows that both the resonators have resonant frequency near 2.4GHz, but the accuracy need to be improved in the future work
- 24. Elena Semouchkina , Wenwu Cao, Raj Mittra, and Wenhua Yu Analysis of resonance processes in microstrip ring resonators by the FDTD method,2001 http://personal.ee.surrey.ac.uk/Personal/R.Hopkins/Transfer.pdf Microwave engineering (4th edition),David M. Pozar