Successfully reported this slideshow.
We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. You can change your ad preferences anytime.

My MSc. Project

453 views

Published on

Published in: Education, Technology
  • Be the first to comment

  • Be the first to like this

My MSc. Project

  1. 1. Simulation and Experiment of the Interaction of Pulsed Light with Multilevel Systems Abhijit Mondal Y6010 Department of Chemistry Indian Institute of Technology, Kanpur
  2. 2. ∂c1/∂t = i(E0 μ12/2ħ) (ei(ω−ω0)t + e−i(ω+ω0 )t ) c2 (t) ∂c2/∂t = i(E0 μ12/2ħ) (e-i(ω−ω0)t + ei(ω+ω0 )t ) c1 (t) where E0 is the amplitude of the light wave, light wave of angular frequency ω and ω0 = (E2 − E1 )/ħ. Rabi frequency defined by: ΩR = |μ12 E0 /ħ |. We apply the rotating wave approximation to neglect the terms that oscillate at ±(ω + ω0 ),Second, we only consider the case of exact resonance with δω = 0.
  3. 3. NOT GateHadamardGate
  4. 4. int main(int argc,char *argv[]){ FILE *fp1,*fp2,*fp3,*fp4; fp1=fopen("1.txt","r"); fp2=fopen("gr 5.txt","r"); fp3=fopen("quotient.txt","w"); fp4=fopen("remainder.txt","w"); char *buffer1=new char[20]; char *buffer2=new char[20]; double *f=new double[2000]; double *g=new double[2000]; int i=0; while(!feof(fp1)) {fseek(fp1,7,SEEK_CUR); fgets(buffer2,8,fp1); double y=atof(buffer2); f[i]=y;i+ +; } i=0; while(!feof(fp2)) {fseek(fp2,7,SEEK_CUR); fgets(buffer2,8,fp2); double y=atof(buffer2); g[i]=y;i+ +; } int deg=i; for(i=0;i<deg;i++) { int j=1;double sum=0.0; while(j<=i) {sum+=f[j]*q[i-j]; j++; } q[i]=(g[i]-sum)/f[0]; fprintf(fp3,"%fn",q[i]); }}
  5. 5. Let us suppose that the original response signal be denoted as g(x), the h(x) is the convolution of f(x) and g(x). Then c0= a0 b0= c0 / a0 c1= a1b0 + a0b1 b1= (c1- a1b0) / a0 c 2= a2b 0 + a 1b 1 + a 0b 2 b2= (c2- a1b1- a2b0) / a0 . . cn-1= ∑i=0n-1 ai bn-1-i bn-1= (cn-1 - ∑i=1n-1 ai bn-1-i) / a0Hence we use a dynamic programming approach to solve for bi for each i as: bi = (ci - ∑j=1i aj bi-j) / a0
  6. 6. Thank You for noticing me !!!

×