Abstract

In a recent publication, J. L. Vilas et al. [Appl. Opt. 52, 1892 (2013)] described a combined system comprising two wave plates and proposed an expression for the overall retardation. However, to the best of my knowledge, the proposed theoretical expression for the total retardation is incorrect. The authors improperly derived that expression by simply diagonalizating the Jones matrix of the cascaded system. The mistakes are pointed out and discussed in these comments.

© 2013 Optical Society of America

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References

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  1. J. L. Vilas, L. M. Sanchez-Brea, and E. Bernabeu, “Optimal achromatic wave retarders using two birefringent wave plates,” Appl. Opt. 52, 1892–1896 (2013).
    [CrossRef]
  2. R. C. Jones, “A new calculus for the treatment of optical systems,” J. Opt. Soc. Am. 31, 488–493 (1941).
    [CrossRef]
  3. H. Hurwitz and R. C. Jones, “A new calculus for the treatment of optical systems,” J. Opt. Soc. Am. 31, 493–495 (1941).
    [CrossRef]
  4. A. Saha, K. Bhattacharya, and A. K. Chakraborty, “Achromatic quarter-wave plate using crystalline quartz,” Appl. Opt. 51, 1976–1980 (2012).
    [CrossRef]
  5. G. Kang, Q. Tan, X. Wang, and G. Jin, “Achromatic phase retarder applied to MWIR & LWIR dual-band,” Opt. Express 18, 1695–1703 (2010).
    [CrossRef]
  6. S. Pancharatnam, “Achromatic combinations of birefringent plates,” in Proceedings of the Indian Academy of Sciences-Section A (Springer, 1955), 137–144.

2013 (1)

2012 (1)

2010 (1)

1941 (2)

Bernabeu, E.

Bhattacharya, K.

Chakraborty, A. K.

Hurwitz, H.

Jin, G.

Jones, R. C.

Kang, G.

Pancharatnam, S.

S. Pancharatnam, “Achromatic combinations of birefringent plates,” in Proceedings of the Indian Academy of Sciences-Section A (Springer, 1955), 137–144.

Saha, A.

Sanchez-Brea, L. M.

Tan, Q.

Vilas, J. L.

Wang, X.

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Equations (11)

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U=[AB*BA*]=R(μ+ν)R(ν)J(Δ)R(ν),
R(ν)=[cosνsinνsinνcosν],
J(Δ)=[eiΔ/200eiΔ/2].
tan2Δ2=Im2(A)+Im2(B)Re2(A)+Re2(B),
tan(μ+ν)=Re(B)Re(A),
tan(μν)=Im(B)Im(A).
J(Δ)=Q1UQ=[Re(A)+iIm2(A)+Im2(B)00Re(A)iIm2(A)+Im2(B)].
tanΔ2=Im2(A)+Im2(B)Re(A).
U=[0.59720.0560i0.5658+0.5658i0.5658+0.5658i0.5972+0.0560i].
[0.48220.4822i0.73140.73140.48220.4822i],
[0.8227+0.0560i0.5658i0.5658i0.82270.0560i].

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