Abstract

We investigate the polarimetric properties of an adjustable two plate quarter-wave system. We take into account multiple beam interference within single wave plates. Different adjustments of an adjustable two plate quarter-wave system are required for the production of the left-handed and the right-handed circular polarized coherent light. We investigate experimentally laser light polarization conversion by the systems consisting of two birefringent mica plates. An adjustable two plate quarter-wave system produces high-quality circularly polarized coherent light with the intensity-related ellipticity better than 0.99 at any wavelength.

© 2013 Optical Society of America

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References

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  1. H.-c. Huang, “Practical circular-polarization-maintaining optical fiber,” Appl. Opt. 36, 6968–6975 (1997).
    [CrossRef]
  2. A. Ambrosio, B. Piccirillo, A. Sasso, and E. Santamato, “Experimental and theoretical study of the transient rotation of isotropic transparent microparticles in astigmatic optical tweezers,” Opt. Commun. 230, 337–345 (2004).
    [CrossRef]
  3. A. Gerrard and J. M. Burch, Introduction to Matrix Methods in Optics (Dover, 1975).
  4. P. Shukla, R. Sumathi, S. Gupta, and A. Pradhan, “Influence of size parameter and refractive index of the scatterer on polarization-gated optical imaging through turbid media,” J. Opt. Soc. Am. 24, 1704–1713 (2007).
    [CrossRef]
  5. T. W. Cronin, N. Shashar, R. L. Caldwell, J. Marshall, A. G. Cheroske, and T.-H. Chiou, “Polarization vision and its role in biological signaling,” Integr. Comp. Biol. 43, 549–558 (2003).
    [CrossRef]
  6. M. Bass, E. W. Van, D. R. Williams, and W. L. Wolfer, (eds.), Handbook of Optics (McGraw-Hill, 1995).
  7. I. V. Goltser, M. Ya. Darsht, N. D. Kundikova, and B. Ya. Zel’dovich, “An adjustable quarter-wave plate,” Opt. Commun. 97, 291–294 (1993).
    [CrossRef]
  8. R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, 1977).
  9. M. Ya. Darsht, I. V. Goltser, N. D. Kundikova, and B. Ya. Zel’dovich, “Adjustable half-wave plate,” Appl. Opt. 34, 3658–3661 (1995).
    [CrossRef]
  10. I. V. Gol’tser, M. Ya. Darsht, B. Ya. Zel’dovich, N. D. Kundikova, and L. F. Rogacheva, “Quarter-wave plate tunable in a wide wavelength range,” Quantum Electron. 25, 187–190 (1995).
    [CrossRef]
  11. D. A. Holmes, “Exact theory of retardation plates,” J. Opt. Soc. Am. 54, 1115–1120 (1964).
    [CrossRef]
  12. D. Clarke, “Interference effects in single wave plates,” J. Opt. A 6, 1036–1040 (2004).
    [CrossRef]
  13. D. Clarke, “Interference effects in compound and achromatic wave plates,” J. Opt. A 6, 1041–1046 (2004).
    [CrossRef]
  14. E. A. Bibikova, N. D. Kundikova, and L. F. Rogacheva, “Method for determining polarization parameters of thin phase plates,” Bull. Russ. Acad. Sci. 70, 1469–1472 (2006).
  15. M. S. El-Bahrawi, N. N. Nagib, S. A. Khodier, and H. M. Sidki, “Birefringence of muscovite mica,” Opt. Laser Technol. 30, 411–415 (1998).
    [CrossRef]
  16. “Optics and optical instruments catalog,” Edmund optics LTD (2012) http://www.edmundoptics.eu .

2007 (1)

P. Shukla, R. Sumathi, S. Gupta, and A. Pradhan, “Influence of size parameter and refractive index of the scatterer on polarization-gated optical imaging through turbid media,” J. Opt. Soc. Am. 24, 1704–1713 (2007).
[CrossRef]

2006 (1)

E. A. Bibikova, N. D. Kundikova, and L. F. Rogacheva, “Method for determining polarization parameters of thin phase plates,” Bull. Russ. Acad. Sci. 70, 1469–1472 (2006).

2004 (3)

A. Ambrosio, B. Piccirillo, A. Sasso, and E. Santamato, “Experimental and theoretical study of the transient rotation of isotropic transparent microparticles in astigmatic optical tweezers,” Opt. Commun. 230, 337–345 (2004).
[CrossRef]

D. Clarke, “Interference effects in single wave plates,” J. Opt. A 6, 1036–1040 (2004).
[CrossRef]

D. Clarke, “Interference effects in compound and achromatic wave plates,” J. Opt. A 6, 1041–1046 (2004).
[CrossRef]

2003 (1)

T. W. Cronin, N. Shashar, R. L. Caldwell, J. Marshall, A. G. Cheroske, and T.-H. Chiou, “Polarization vision and its role in biological signaling,” Integr. Comp. Biol. 43, 549–558 (2003).
[CrossRef]

1998 (1)

M. S. El-Bahrawi, N. N. Nagib, S. A. Khodier, and H. M. Sidki, “Birefringence of muscovite mica,” Opt. Laser Technol. 30, 411–415 (1998).
[CrossRef]

1997 (1)

1995 (2)

M. Ya. Darsht, I. V. Goltser, N. D. Kundikova, and B. Ya. Zel’dovich, “Adjustable half-wave plate,” Appl. Opt. 34, 3658–3661 (1995).
[CrossRef]

I. V. Gol’tser, M. Ya. Darsht, B. Ya. Zel’dovich, N. D. Kundikova, and L. F. Rogacheva, “Quarter-wave plate tunable in a wide wavelength range,” Quantum Electron. 25, 187–190 (1995).
[CrossRef]

1993 (1)

I. V. Goltser, M. Ya. Darsht, N. D. Kundikova, and B. Ya. Zel’dovich, “An adjustable quarter-wave plate,” Opt. Commun. 97, 291–294 (1993).
[CrossRef]

1964 (1)

Ambrosio, A.

A. Ambrosio, B. Piccirillo, A. Sasso, and E. Santamato, “Experimental and theoretical study of the transient rotation of isotropic transparent microparticles in astigmatic optical tweezers,” Opt. Commun. 230, 337–345 (2004).
[CrossRef]

Azzam, R. M. A.

R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, 1977).

Bashara, N. M.

R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, 1977).

Bibikova, E. A.

E. A. Bibikova, N. D. Kundikova, and L. F. Rogacheva, “Method for determining polarization parameters of thin phase plates,” Bull. Russ. Acad. Sci. 70, 1469–1472 (2006).

Burch, J. M.

A. Gerrard and J. M. Burch, Introduction to Matrix Methods in Optics (Dover, 1975).

Caldwell, R. L.

T. W. Cronin, N. Shashar, R. L. Caldwell, J. Marshall, A. G. Cheroske, and T.-H. Chiou, “Polarization vision and its role in biological signaling,” Integr. Comp. Biol. 43, 549–558 (2003).
[CrossRef]

Cheroske, A. G.

T. W. Cronin, N. Shashar, R. L. Caldwell, J. Marshall, A. G. Cheroske, and T.-H. Chiou, “Polarization vision and its role in biological signaling,” Integr. Comp. Biol. 43, 549–558 (2003).
[CrossRef]

Chiou, T.-H.

T. W. Cronin, N. Shashar, R. L. Caldwell, J. Marshall, A. G. Cheroske, and T.-H. Chiou, “Polarization vision and its role in biological signaling,” Integr. Comp. Biol. 43, 549–558 (2003).
[CrossRef]

Clarke, D.

D. Clarke, “Interference effects in single wave plates,” J. Opt. A 6, 1036–1040 (2004).
[CrossRef]

D. Clarke, “Interference effects in compound and achromatic wave plates,” J. Opt. A 6, 1041–1046 (2004).
[CrossRef]

Cronin, T. W.

T. W. Cronin, N. Shashar, R. L. Caldwell, J. Marshall, A. G. Cheroske, and T.-H. Chiou, “Polarization vision and its role in biological signaling,” Integr. Comp. Biol. 43, 549–558 (2003).
[CrossRef]

Darsht, M. Ya.

M. Ya. Darsht, I. V. Goltser, N. D. Kundikova, and B. Ya. Zel’dovich, “Adjustable half-wave plate,” Appl. Opt. 34, 3658–3661 (1995).
[CrossRef]

I. V. Gol’tser, M. Ya. Darsht, B. Ya. Zel’dovich, N. D. Kundikova, and L. F. Rogacheva, “Quarter-wave plate tunable in a wide wavelength range,” Quantum Electron. 25, 187–190 (1995).
[CrossRef]

I. V. Goltser, M. Ya. Darsht, N. D. Kundikova, and B. Ya. Zel’dovich, “An adjustable quarter-wave plate,” Opt. Commun. 97, 291–294 (1993).
[CrossRef]

El-Bahrawi, M. S.

M. S. El-Bahrawi, N. N. Nagib, S. A. Khodier, and H. M. Sidki, “Birefringence of muscovite mica,” Opt. Laser Technol. 30, 411–415 (1998).
[CrossRef]

Gerrard, A.

A. Gerrard and J. M. Burch, Introduction to Matrix Methods in Optics (Dover, 1975).

Gol’tser, I. V.

I. V. Gol’tser, M. Ya. Darsht, B. Ya. Zel’dovich, N. D. Kundikova, and L. F. Rogacheva, “Quarter-wave plate tunable in a wide wavelength range,” Quantum Electron. 25, 187–190 (1995).
[CrossRef]

Goltser, I. V.

M. Ya. Darsht, I. V. Goltser, N. D. Kundikova, and B. Ya. Zel’dovich, “Adjustable half-wave plate,” Appl. Opt. 34, 3658–3661 (1995).
[CrossRef]

I. V. Goltser, M. Ya. Darsht, N. D. Kundikova, and B. Ya. Zel’dovich, “An adjustable quarter-wave plate,” Opt. Commun. 97, 291–294 (1993).
[CrossRef]

Gupta, S.

P. Shukla, R. Sumathi, S. Gupta, and A. Pradhan, “Influence of size parameter and refractive index of the scatterer on polarization-gated optical imaging through turbid media,” J. Opt. Soc. Am. 24, 1704–1713 (2007).
[CrossRef]

Holmes, D. A.

Huang, H.-c.

Khodier, S. A.

M. S. El-Bahrawi, N. N. Nagib, S. A. Khodier, and H. M. Sidki, “Birefringence of muscovite mica,” Opt. Laser Technol. 30, 411–415 (1998).
[CrossRef]

Kundikova, N. D.

E. A. Bibikova, N. D. Kundikova, and L. F. Rogacheva, “Method for determining polarization parameters of thin phase plates,” Bull. Russ. Acad. Sci. 70, 1469–1472 (2006).

I. V. Gol’tser, M. Ya. Darsht, B. Ya. Zel’dovich, N. D. Kundikova, and L. F. Rogacheva, “Quarter-wave plate tunable in a wide wavelength range,” Quantum Electron. 25, 187–190 (1995).
[CrossRef]

M. Ya. Darsht, I. V. Goltser, N. D. Kundikova, and B. Ya. Zel’dovich, “Adjustable half-wave plate,” Appl. Opt. 34, 3658–3661 (1995).
[CrossRef]

I. V. Goltser, M. Ya. Darsht, N. D. Kundikova, and B. Ya. Zel’dovich, “An adjustable quarter-wave plate,” Opt. Commun. 97, 291–294 (1993).
[CrossRef]

Marshall, J.

T. W. Cronin, N. Shashar, R. L. Caldwell, J. Marshall, A. G. Cheroske, and T.-H. Chiou, “Polarization vision and its role in biological signaling,” Integr. Comp. Biol. 43, 549–558 (2003).
[CrossRef]

Nagib, N. N.

M. S. El-Bahrawi, N. N. Nagib, S. A. Khodier, and H. M. Sidki, “Birefringence of muscovite mica,” Opt. Laser Technol. 30, 411–415 (1998).
[CrossRef]

Piccirillo, B.

A. Ambrosio, B. Piccirillo, A. Sasso, and E. Santamato, “Experimental and theoretical study of the transient rotation of isotropic transparent microparticles in astigmatic optical tweezers,” Opt. Commun. 230, 337–345 (2004).
[CrossRef]

Pradhan, A.

P. Shukla, R. Sumathi, S. Gupta, and A. Pradhan, “Influence of size parameter and refractive index of the scatterer on polarization-gated optical imaging through turbid media,” J. Opt. Soc. Am. 24, 1704–1713 (2007).
[CrossRef]

Rogacheva, L. F.

E. A. Bibikova, N. D. Kundikova, and L. F. Rogacheva, “Method for determining polarization parameters of thin phase plates,” Bull. Russ. Acad. Sci. 70, 1469–1472 (2006).

I. V. Gol’tser, M. Ya. Darsht, B. Ya. Zel’dovich, N. D. Kundikova, and L. F. Rogacheva, “Quarter-wave plate tunable in a wide wavelength range,” Quantum Electron. 25, 187–190 (1995).
[CrossRef]

Santamato, E.

A. Ambrosio, B. Piccirillo, A. Sasso, and E. Santamato, “Experimental and theoretical study of the transient rotation of isotropic transparent microparticles in astigmatic optical tweezers,” Opt. Commun. 230, 337–345 (2004).
[CrossRef]

Sasso, A.

A. Ambrosio, B. Piccirillo, A. Sasso, and E. Santamato, “Experimental and theoretical study of the transient rotation of isotropic transparent microparticles in astigmatic optical tweezers,” Opt. Commun. 230, 337–345 (2004).
[CrossRef]

Shashar, N.

T. W. Cronin, N. Shashar, R. L. Caldwell, J. Marshall, A. G. Cheroske, and T.-H. Chiou, “Polarization vision and its role in biological signaling,” Integr. Comp. Biol. 43, 549–558 (2003).
[CrossRef]

Shukla, P.

P. Shukla, R. Sumathi, S. Gupta, and A. Pradhan, “Influence of size parameter and refractive index of the scatterer on polarization-gated optical imaging through turbid media,” J. Opt. Soc. Am. 24, 1704–1713 (2007).
[CrossRef]

Sidki, H. M.

M. S. El-Bahrawi, N. N. Nagib, S. A. Khodier, and H. M. Sidki, “Birefringence of muscovite mica,” Opt. Laser Technol. 30, 411–415 (1998).
[CrossRef]

Sumathi, R.

P. Shukla, R. Sumathi, S. Gupta, and A. Pradhan, “Influence of size parameter and refractive index of the scatterer on polarization-gated optical imaging through turbid media,” J. Opt. Soc. Am. 24, 1704–1713 (2007).
[CrossRef]

Zel’dovich, B. Ya.

M. Ya. Darsht, I. V. Goltser, N. D. Kundikova, and B. Ya. Zel’dovich, “Adjustable half-wave plate,” Appl. Opt. 34, 3658–3661 (1995).
[CrossRef]

I. V. Gol’tser, M. Ya. Darsht, B. Ya. Zel’dovich, N. D. Kundikova, and L. F. Rogacheva, “Quarter-wave plate tunable in a wide wavelength range,” Quantum Electron. 25, 187–190 (1995).
[CrossRef]

I. V. Goltser, M. Ya. Darsht, N. D. Kundikova, and B. Ya. Zel’dovich, “An adjustable quarter-wave plate,” Opt. Commun. 97, 291–294 (1993).
[CrossRef]

Appl. Opt. (2)

Bull. Russ. Acad. Sci. (1)

E. A. Bibikova, N. D. Kundikova, and L. F. Rogacheva, “Method for determining polarization parameters of thin phase plates,” Bull. Russ. Acad. Sci. 70, 1469–1472 (2006).

Integr. Comp. Biol. (1)

T. W. Cronin, N. Shashar, R. L. Caldwell, J. Marshall, A. G. Cheroske, and T.-H. Chiou, “Polarization vision and its role in biological signaling,” Integr. Comp. Biol. 43, 549–558 (2003).
[CrossRef]

J. Opt. A (2)

D. Clarke, “Interference effects in single wave plates,” J. Opt. A 6, 1036–1040 (2004).
[CrossRef]

D. Clarke, “Interference effects in compound and achromatic wave plates,” J. Opt. A 6, 1041–1046 (2004).
[CrossRef]

J. Opt. Soc. Am. (2)

P. Shukla, R. Sumathi, S. Gupta, and A. Pradhan, “Influence of size parameter and refractive index of the scatterer on polarization-gated optical imaging through turbid media,” J. Opt. Soc. Am. 24, 1704–1713 (2007).
[CrossRef]

D. A. Holmes, “Exact theory of retardation plates,” J. Opt. Soc. Am. 54, 1115–1120 (1964).
[CrossRef]

Opt. Commun. (2)

A. Ambrosio, B. Piccirillo, A. Sasso, and E. Santamato, “Experimental and theoretical study of the transient rotation of isotropic transparent microparticles in astigmatic optical tweezers,” Opt. Commun. 230, 337–345 (2004).
[CrossRef]

I. V. Goltser, M. Ya. Darsht, N. D. Kundikova, and B. Ya. Zel’dovich, “An adjustable quarter-wave plate,” Opt. Commun. 97, 291–294 (1993).
[CrossRef]

Opt. Laser Technol. (1)

M. S. El-Bahrawi, N. N. Nagib, S. A. Khodier, and H. M. Sidki, “Birefringence of muscovite mica,” Opt. Laser Technol. 30, 411–415 (1998).
[CrossRef]

Quantum Electron. (1)

I. V. Gol’tser, M. Ya. Darsht, B. Ya. Zel’dovich, N. D. Kundikova, and L. F. Rogacheva, “Quarter-wave plate tunable in a wide wavelength range,” Quantum Electron. 25, 187–190 (1995).
[CrossRef]

Other (4)

R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, 1977).

A. Gerrard and J. M. Burch, Introduction to Matrix Methods in Optics (Dover, 1975).

M. Bass, E. W. Van, D. R. Williams, and W. L. Wolfer, (eds.), Handbook of Optics (McGraw-Hill, 1995).

“Optics and optical instruments catalog,” Edmund optics LTD (2012) http://www.edmundoptics.eu .

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Figures (4)

Fig. 1.
Fig. 1.

Adjusting angle φ as a function of the coefficient F (Γ=50°).

Fig. 2.
Fig. 2.

Azimuth of the incident linearly polarized light α as a function of the coefficient F (Γ=50°).

Fig. 3.
Fig. 3.

Intensity-related ellipticity eI of right-handed elliptically polarized light after propagation through the system for the production of left circularly polarized light as a function of the value F for the different value of Γ.

Fig. 4.
Fig. 4.

Experimental setup for the determination of a quality of circular polarization.

Tables (1)

Tables Icon

Table 1. Adjusting Angles of Two Plate Quarter-Wave Systems (the Values of All Angles are Given in Degrees)

Equations (16)

Equations on this page are rendered with MathJax. Learn more.

Γ0=2πΔndλ,
T(Γ,F)=TLP(Γ)×TLA(F).
TLP(Γ)=(exp(iΓ/2)00exp(iΓ/2))
TLA(F)=(100F).
T(Γ,F)=(exp(iΓ/2)00Fexp(iΓ/2)).
W(φ,Γ1,Γ2,F1,F2)=R(φ)T(Γ2,F2)R(φ)T(Γ1,F1).
ρeiψ(1σi)=W(φ,Γ,F)·(cosαsinα).
cosφcosαcosΓ+Fsinφsinα=ρcosψ,cosφcosαsinΓ=ρsinψ,Fsinφcosα+F2cosφsinαcosΓ=σρsinψ,F2cosφsinαsinΓ=σρcosψ.
tanφL1=(F21)sinΓ+(F21)2sin2Γ4F2cos(2Γ)2F,
tanφL2=(F21)sinΓ(F21)2sin2Γ4F2cos(2Γ)2F,
tanαL1=2cosΓ(F2+1)sinΓ+(F21)2sin2Γ4F2cos(2Γ),
tanαL2=2cosΓ(F2+1)sinΓ(F21)2sin2Γ4F2cos(2Γ).
tanφR1=(F21)sinΓ+(F21)2sin2Γ4F2cos(2Γ)2F,
tanφR2=(F21)sinΓ(F21)2sin2Γ4F2cos(2Γ)2F,
tanαR1=2cosΓ(F2+1)sinΓ(F21)2sin2Γ4F2cos(2Γ),
tanαR2=2cosΓ(F2+1)sinΓ+(F21)2sin2Γ4F2cos(2Γ).

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