Answer to referee for revision2:

1. 	Suggested references are added as the early demonstrations of normal-mode splitting
 and the pursuit of high finesse in order to achieve strong interaction of light and atom.

2. 	Figure 4b is combined with Figure 5 (Now Figure 5e) as suggested. 

3.	The word "small" is deleted a suggested and just the difference between the measured
 and the calculated linewidths are discussed.

4.	The statement "In Fig. 5d, the fundamental mode is predominantly excited
as the frequency is around the resonance frequency of the fundamental mode of the
cavity." is changed to:

 "In Figure 5d, the fundamental mode is excited at ~50\% of its maximum as 
the frequency is half linewidth away from the resonance frequency of the fundamental mode of the cavity."

5.	 The normal mode splitting for the anaclastic cavity linewidth measurement is added. and the corresponding text is modified accordingly.

6.	As the error bar was large in the first version, we repeated the experiment with  better
 mechanical stability of the cavity. And the mirrors that have been used in the measurement have
 slightly different reflectivity. In this case the R_m^2 in equation (2) has changed accordingly,
 which changes the finesse (equation (3)) and consequently the linewidth.

7.	 The cooperativity formula is corrected and the formula in figure9 is also corrected. There
 are different nomenclature for the cavity cooperativity parameter and since we followed reference 
[2] it is cited in the related statement.

The answer for the question 9, in the first referee comments, partially was not answered.
 The question was : "What limits the coupling of the cavity output into a single mode fiber?" for the measured value of 55\% coupling. 
Now we have an answer for the question as follows: When there is a tilt in the second (output) 
mirror of the cavity, it can be compensated by applying a certain shift in transverse direction, and vice versa. 
And the anaclastic cavity, in our experiments, is aligned by means of a 3D PZT. Then any misaligment of tilt of 
the second mirror is compensated by shifting the mirror in transverse axes. Because, when there is a 
tilt misalignment of the spherical surface center the center of the curvature moves away from the optical axis. But it can still be
 brought to the optical axis by shifting the mirror. However, the elliptical surface can not collimate
 the cavity output in this case.
 The misalignment of the elliptical surface with respect to the optical axis causes the distortion of the Gaussian modes, which limits 
the coupling of the cavity output into a single mode fiber.

