Abstract

We developed a new method aimed at designing short-pass filters, long-pass filters and filters blocking sidebands of Fabry-Perot bandpasses. The method is an automated version of a non-straightforward empirical approach invented as a result of many years’ experience in design and production of optical coatings. The method allows obtaining near-quarter-wave solutions in a few seconds. In many cases these solutions are more advantageous for deposition systems.

© 2015 Optical Society of America

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References

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  1. H. A. Macleod, Thin-Film Optical Filters, 4th ed. (Taylor & Francis, 2010).
  2. P. Baumeister, Optical Coating Technology (SPIE Optical Engineering, 2004).
  3. A. Thelen, Design of Optical Interference Coatings (McGraw-Hill, 1989).
  4. A. V. Tikhonravov, M. K. Trubetskov, and G. W. Debell, “Application of the needle optimization technique to the design of optical coatings,” Appl. Opt. 35(28), 5493–5508 (1996).
    [Crossref] [PubMed]
  5. A. V. Tikhonravov, M. K. Trubetskov, and G. W. DeBell, “Optical coating design approaches based on the needle optimization technique,” Appl. Opt. 46(5), 704–710 (2007).
    [Crossref] [PubMed]
  6. N. Matuschek, F. X. Kartner, and U. Keller, “Analytical design of double-chirped mirrors with custom-tailored dispersion characteristics,” IEEE J. Quantum Electron. 35(2), 129–137 (1999).
    [Crossref]
  7. M. K. Trubetskov, V. Pervak, and A. V. Tikhonravov, “Phase optimization of dispersive mirrors based on floating constants,” Opt. Express 18(26), 27613–27618 (2010).
    [Crossref] [PubMed]
  8. A. Thelen, “Design of optical minus filters,” J. Opt. Soc. Am. 61(3), 365 (1971).
    [Crossref]
  9. K. D. Hendrix, C. A. Hulse, G. J. Ockenfuss, and R. B. Sargent, “Demonstration of narrowband notch and multi-notch filters,” Proc. SPIE 7067, 706702 (2008).
    [Crossref]
  10. O. Lyngnes and J. Kraus, “Design of optical notch filters using apodized thickness modulation,” Appl. Opt. 53(4), A21–A26 (2014).
    [Crossref] [PubMed]
  11. U. Schallenberg, B. Ploss, M. Lappschies, and S. Jakobs, “Design and manufacturing of high-performance notch filters,” Proc. SPIE 7739, 77391X (2010).
    [Crossref]
  12. P. Baumeister, “Design of a coarse WDM bandpass filter using the Thelen bandpass design method,” Opt. Express 9(12), 652–657 (2001).
    [Crossref] [PubMed]
  13. A. V. Tikhonravov and M. K. Trubetskov, “Automated design and sensitivity analysis of wavelengh-division multiplexing filters,” Appl. Opt. 41(16), 3176–3182 (2002).
    [Crossref] [PubMed]
  14. M. K. Trubetskov, T. Amotchkina, and A. V. Tikhonravov, “Design of multilayer optical coatings with high stability to refractive index variations,” in Optical Interference Coatings, OSA Technical Digest Series (Optical Society of America, 2013), paper TD3.
  15. P. E. Gill, W. Murray, and M. H. Wright, Practical Optimization (Academic, 1981).
  16. J. Nocedal and S. J. Wright, Numerical Optimization, 2nd ed. (Springer, 2006).
  17. A. V. Tikhonravov and M. K. Trubetskov, “OptiLayer software,” http://www.optilayer.com .
  18. A. Zöller, M. Boos, H. Hagedorn, and B. Romanov, “Computer simulation of coating processes with monochromatic monitoring,” SPIE Proc. 7101, 71010G (2008).

2014 (1)

2010 (2)

U. Schallenberg, B. Ploss, M. Lappschies, and S. Jakobs, “Design and manufacturing of high-performance notch filters,” Proc. SPIE 7739, 77391X (2010).
[Crossref]

M. K. Trubetskov, V. Pervak, and A. V. Tikhonravov, “Phase optimization of dispersive mirrors based on floating constants,” Opt. Express 18(26), 27613–27618 (2010).
[Crossref] [PubMed]

2008 (1)

K. D. Hendrix, C. A. Hulse, G. J. Ockenfuss, and R. B. Sargent, “Demonstration of narrowband notch and multi-notch filters,” Proc. SPIE 7067, 706702 (2008).
[Crossref]

2007 (1)

2002 (1)

2001 (1)

1999 (1)

N. Matuschek, F. X. Kartner, and U. Keller, “Analytical design of double-chirped mirrors with custom-tailored dispersion characteristics,” IEEE J. Quantum Electron. 35(2), 129–137 (1999).
[Crossref]

1996 (1)

1971 (1)

Baumeister, P.

DeBell, G. W.

Hendrix, K. D.

K. D. Hendrix, C. A. Hulse, G. J. Ockenfuss, and R. B. Sargent, “Demonstration of narrowband notch and multi-notch filters,” Proc. SPIE 7067, 706702 (2008).
[Crossref]

Hulse, C. A.

K. D. Hendrix, C. A. Hulse, G. J. Ockenfuss, and R. B. Sargent, “Demonstration of narrowband notch and multi-notch filters,” Proc. SPIE 7067, 706702 (2008).
[Crossref]

Jakobs, S.

U. Schallenberg, B. Ploss, M. Lappschies, and S. Jakobs, “Design and manufacturing of high-performance notch filters,” Proc. SPIE 7739, 77391X (2010).
[Crossref]

Kartner, F. X.

N. Matuschek, F. X. Kartner, and U. Keller, “Analytical design of double-chirped mirrors with custom-tailored dispersion characteristics,” IEEE J. Quantum Electron. 35(2), 129–137 (1999).
[Crossref]

Keller, U.

N. Matuschek, F. X. Kartner, and U. Keller, “Analytical design of double-chirped mirrors with custom-tailored dispersion characteristics,” IEEE J. Quantum Electron. 35(2), 129–137 (1999).
[Crossref]

Kraus, J.

Lappschies, M.

U. Schallenberg, B. Ploss, M. Lappschies, and S. Jakobs, “Design and manufacturing of high-performance notch filters,” Proc. SPIE 7739, 77391X (2010).
[Crossref]

Lyngnes, O.

Matuschek, N.

N. Matuschek, F. X. Kartner, and U. Keller, “Analytical design of double-chirped mirrors with custom-tailored dispersion characteristics,” IEEE J. Quantum Electron. 35(2), 129–137 (1999).
[Crossref]

Ockenfuss, G. J.

K. D. Hendrix, C. A. Hulse, G. J. Ockenfuss, and R. B. Sargent, “Demonstration of narrowband notch and multi-notch filters,” Proc. SPIE 7067, 706702 (2008).
[Crossref]

Pervak, V.

Ploss, B.

U. Schallenberg, B. Ploss, M. Lappschies, and S. Jakobs, “Design and manufacturing of high-performance notch filters,” Proc. SPIE 7739, 77391X (2010).
[Crossref]

Sargent, R. B.

K. D. Hendrix, C. A. Hulse, G. J. Ockenfuss, and R. B. Sargent, “Demonstration of narrowband notch and multi-notch filters,” Proc. SPIE 7067, 706702 (2008).
[Crossref]

Schallenberg, U.

U. Schallenberg, B. Ploss, M. Lappschies, and S. Jakobs, “Design and manufacturing of high-performance notch filters,” Proc. SPIE 7739, 77391X (2010).
[Crossref]

Thelen, A.

Tikhonravov, A. V.

Trubetskov, M. K.

Appl. Opt. (4)

IEEE J. Quantum Electron. (1)

N. Matuschek, F. X. Kartner, and U. Keller, “Analytical design of double-chirped mirrors with custom-tailored dispersion characteristics,” IEEE J. Quantum Electron. 35(2), 129–137 (1999).
[Crossref]

J. Opt. Soc. Am. (1)

Opt. Express (2)

Proc. SPIE (2)

U. Schallenberg, B. Ploss, M. Lappschies, and S. Jakobs, “Design and manufacturing of high-performance notch filters,” Proc. SPIE 7739, 77391X (2010).
[Crossref]

K. D. Hendrix, C. A. Hulse, G. J. Ockenfuss, and R. B. Sargent, “Demonstration of narrowband notch and multi-notch filters,” Proc. SPIE 7067, 706702 (2008).
[Crossref]

Other (8)

H. A. Macleod, Thin-Film Optical Filters, 4th ed. (Taylor & Francis, 2010).

P. Baumeister, Optical Coating Technology (SPIE Optical Engineering, 2004).

A. Thelen, Design of Optical Interference Coatings (McGraw-Hill, 1989).

M. K. Trubetskov, T. Amotchkina, and A. V. Tikhonravov, “Design of multilayer optical coatings with high stability to refractive index variations,” in Optical Interference Coatings, OSA Technical Digest Series (Optical Society of America, 2013), paper TD3.

P. E. Gill, W. Murray, and M. H. Wright, Practical Optimization (Academic, 1981).

J. Nocedal and S. J. Wright, Numerical Optimization, 2nd ed. (Springer, 2006).

A. V. Tikhonravov and M. K. Trubetskov, “OptiLayer software,” http://www.optilayer.com .

A. Zöller, M. Boos, H. Hagedorn, and B. Romanov, “Computer simulation of coating processes with monochromatic monitoring,” SPIE Proc. 7101, 71010G (2008).

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Figures (3)

Fig. 1
Fig. 1

Target and actual transmittances of starting, SDR and refined designs (a); design structures: starting and SDR designs (b), starting and refined designs (c).

Fig. 2
Fig. 2

Target and actual transmittances of starting, SPF1 and SPF2 designs (a); design structures: starting and SPF1 designs (b), starting and SPF2 designs (c).

Fig. 3
Fig. 3

Target and actual transmittances of starting, LPF1 and LPF2 designs (a); design structures: starting and LPF1 design (b), starting and LPF2 design (c).

Tables (2)

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Table 1 Evolution of the SDR in the case of blocking filter

Tables Icon

Table 2 Practical monitoring strategies for the considered designs

Equations (4)

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

MF( d 1 ,, d m )= ( 1 L j=1 L [ S( d 1 ,, d m ; λ j ) S ^ ( λ j ) Δ S j ] 2 ) 1/2 .
ΔM F i =| MF( d 1 ,..., d i ( 1+ δ H,L ),..., d m )MF( d 1 ,..., d m ) |,L S i = ΔM F i max i=1,,m ΔM F i 100%.
MF( d F,1 ,..., d A, k 1 ,..., d F,m )min
MF( d F,1 ,, d A, k 1 ,, d A, k 2 ,, d F,m )min

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