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+//chapter-8 page 339 example 8.5

+//==============================================================================

+clc;

+clear;

+

+//For a 2 cavity klystron amplifier

+V0=1200;//Beam voltage in V

+I0=0.028;//Beam current in A

+f=8*10^9;//frequency in Hz

+d=0.001;//gap spacing in either cavity in m

+L=0.04;//spacing between centers of cavities in m

+Rsh=40000;//Effective shunt impedance in ohms

+J1=0.582;//value of J1(X)

+X=1.841;//bunching parameter

+

+//CALCULATION

+w=2*(%pi)*f;//angular frequency in rad

+v0=0.593*10^6*sqrt(V0);//velocity of electron in m/sec

+Vomax=((3.68*V0*v0)/(w*L));//max output power in V

+tg=(w*d)/v0;//avg gap transit angle in rad

+Tg=tg*(180/(%pi));

+Bi=(sind(Tg/2))/(tg/2);//beam coupling coefficient 

+Bo=Bi;//output cavity coupling coefficient 

+Vimax=Vomax/Bi;//The input microwave voltage in order to generate maximum output voltage in V

+t0=w*L/v0;//transit angle in rad

+R0=V0/I0;//impedance in ohms

+Av=((Bo^2*J1*t0*Rsh)/(R0*X));//Voltage gain 

+I2=2*I0*J1;

+V2=Bo*I2*Rsh;

+disp('neglecting beam loading');

+Eff=0.58*(V2/V0)*100;//Efficiency in %

+G0=1/R0;

+GB=(G0/2)*(Bo*(Bo-cos(Tg/2)));//Beam loading conductance in mhos

+RB=(1/GB)/1000;//Beam loading resistance in Kohms

+disp('Beam loading resistance in Kohms is');

+disp(RB);

+disp('The value 73 kohms is very much comparable to Rsh and cannot be neglected because Tg is quite high');

+

+//OUTPUT

+mprintf('\nThe input microwave voltage in order to generate maximum output voltage is Vimax=%2.2f V \nThe voltage gain is Av=%2.2f percentage \nBeam loading conductance is GB=%1.10f mhos',Vimax,Av,GB);

+

+//=========================END OF PROGRAM===============================

+

+

+

+