Varactor diode
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1) The document discusses the electrical characteristics of a varactor diode, which is a diode with a variable capacitance that depends on the applied reverse bias voltage. 2) It explains the doping profile and Poisson's equation that governs the electric field and potential distribution in the diode. 3) Equations are derived for the junction capacitance as a function of the applied reverse bias voltage based on the doping profile and boundary conditions of the p-n junction.
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Varactor diode
- 1. Course: Electronic Devices paper code: EC301 Course Coordinator: Arpan Deyasi Department of Electronics and Communication Engineering RCC Institute of Information Technology Kolkata, India 9/3/2020 1Arpan Deyasi, RCCIIT, India Topic: Varactor Diode
- 2. Varactor = Variable Reactor 9/3/2020 2Arpan Deyasi, RCCIIT, India Doping profile: p+n or pn+ p p+n+ n z z n n
- 3. 9/3/2020 Arpan Deyasi, RCCIIT, India 3 Electrical Characteristics of Varactor Diode Doping profile of pn+ device ( ) m DN z Bz= B: background concentration m: doping index z: actual depth of the region
- 4. 9/3/2020 Arpan Deyasi, RCCIIT, India 4 Electrical Characteristics of Varactor Diode Poisson’s equation: 2 2 d dz φ ρ ε = − 2 2 ( )D d q N z dz φ ε = −
- 5. 9/3/2020 Arpan Deyasi, RCCIIT, India 5 Electrical Characteristics of Varactor Diode 2 2 md q Bz dz φ ε = − ( 1) 1 ( 1) m d qB z C dz m φ ε + =− + +
- 6. 9/3/2020 Arpan Deyasi, RCCIIT, India 6 Electrical Characteristics of Varactor Diode ( 2) 1 2 ( 1)( 2) m qB z C z C m m φ ε + =− + + + + Boundary conditions at z = 0, φ = 0 at z = W, dφ/dz = 0 at z = W, φ = VA+Vbi
- 7. 9/3/2020 Arpan Deyasi, RCCIIT, India 7 Electrical Characteristics of Varactor Diode at z = 0, φ = 0 2 0C = at z = W, dφ/dz = 0 ( 1) 1 ( 1) m qB W C mε + = +
- 8. 9/3/2020 Arpan Deyasi, RCCIIT, India 8 ( 2) ( 1) ( 1)( 2) ( 1) m m qB z qB W z m m m φ ε ε + + =− + + + + Electrical Characteristics of Varactor Diode at z = W, φ = VA+Vbi ( 2) ( 2) m A bi qB W V V mε + + = +
- 9. 9/3/2020 Arpan Deyasi, RCCIIT, India 9 ( )1 2 ( 2)( ) m A biW m V V qB ε + = + + Electrical Characteristics of Varactor Diode
- 10. 9/3/2020 Arpan Deyasi, RCCIIT, India 10 Electrical Characteristics of Varactor Diode Total charge stored in depletion region 0 ( ) W D DQ qA N z dz= ∫ 0 W m DQ qAB z dz= ∫
- 11. 9/3/2020 Arpan Deyasi, RCCIIT, India 11 Electrical Characteristics of Varactor Diode ( 1) ( 1) m D qAB Q W m + = + ( )1 2 ( 2)( ) ( 1) m m D A bi qAB Q m V V m qB ε + + = + + +
- 12. 9/3/2020 Arpan Deyasi, RCCIIT, India 12 ( ) D j A bi dQ C d V V = + Electrical Characteristics of Varactor Diode Junction capacitance ( )1 ( 2) ( 1) ( 2)( ) m j A bi m qB C A m V V ε + + = + +
- 13. 9/3/2020 Arpan Deyasi, RCCIIT, India 13 Electrical Characteristics of Varactor Diode at m = 0, ND(z) = B at m = 1, ND(z) = Bz at m = -1, ND(z) = B/z at m = -3/2, ND(z) = Bz-1.5 ( ) m DN z Bz=
- 14. 9/3/2020 Arpan Deyasi, RCCIIT, India 14