Rough Mirror as a Quantum State Selector: Analysis and Design

Table 6

Results for three rough surfaces generated using the 2D Ising model (the first three rows) and for the correlation function averaged over ten runs (the last row). The Monte Carlo simulations have been done at 𝑇=1.2𝑇_𝑐 with 10⁶ Metropolis cycles. The surface size is 101×101. The Table is arranged similarly to Table 2. The table contains the best fitting values of 𝑟_𝐸,𝐺,PL and the corresponding values of 𝜎_𝐸,𝐺,PL and Φ^𝐸,𝐺,PL₂. The results for the exponential fits Φ₂^𝐸1,2 for 𝜁(|𝐱|) and 𝜁(𝐱) should be the closest to the true physical parameters.

#	𝑟𝐸1,𝜎𝐸1×10^2	𝑟𝐸2,𝜎𝐸2×10^2	𝑟𝐺,𝜎𝐺×10^2	𝑟PL,𝜎PL×10^2	(Φ2^𝐸1,Φ2^𝐸2,Φ^𝐺2,Φ^PL2)×10^3
1	1.56, 2.03	1.60, 2.75	1.06, 2.41	1.55, 2.12	3.37, 3.32, 2.53, 2.58
2	1.43, 1.56	1.43, 2.27	1.06, 1.89	1.48, 1.63	2.53, 2.53, 2.53, 2.64
3	1.53, 1.66	1.53, 2.49	1.11, 2.04	1.57, 1.75	3.40, 3.40, 2.48, 2.57
Av.	1.54, 0.69	1.57, 0.89	1.10, 1.42	1.57, 0.91	3.39, 3.36, 2.49, 2.57