Abstract

A starting design for a prototype bandpass is modeled as a periodic structure, following the teachings of Thelen. A sample prototype bandpass contains twenty-one cavities and, after computer optimization, manifests a quasi-Chebyshev transmissive response in its passband. When the prototype is converted to a thin film multilayer bandpass, its spectral bandwidth is 12.70 nm at the -0.5 dB transmittance level and 12.99 nm at the -25 dB level.

© Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |

  1. Philip Baumeister, "Transmissive spectral slope of a bandpass for WDM," post-deadline paper TuB8 presented at the Topical Meeting on Optical Interference Coatings under the auspices of the Optical Society of America, July 17, 2001.
  2. George Matthaei, Leo Young, E. M. T. Jones, Microwave filters, impedance matching networks, and coupling structures (McGraw-Hill, New York, 1964) �6.03.
  3. A. J. Thelen, "Equivalent layers in multilayer filters," J. Opt. Soc. Am. 56, 1533-1538 (1966).
    [CrossRef]
  4. A. J. Thelen, Design of optical interference coatings (McGraw-Hill, New York, 1989).
  5. H. A. Macleod, Thin film optical filters (Macmillan, New York, 1986).
    [CrossRef]
  6. Sh. A. Furman, A. V. Tikhonravov, Optics of Multilayer Systems (�ditions Fronti�res, Gif-sur-Yvette, France 1992).
  7. Philip Baumeister, "Bandpass filters for wavelength division multiplexing-modification of the spectral bandwidth," Appl. Opt. 37, 6609-6614 (1998).
    [CrossRef]
  8. TFCalc, An optical coating design code marketed by Software Spectra, Portland, Oregon, USA.
  9. Florin Abel�s, "Remarque sur l'influence de la dispersion dans les syst�m de couches minces di�lectriques," J. Phys. Radium 1 9, 327-334 (1958).
    [CrossRef]
  10. Francis Jenkins, Philip Baumeister, "Dispersion of the phase change for dielectric multilayers-application to the interference filter," J. Opt. Soc. Am. 47, 57-61 (1957).
    [CrossRef]

Other (10)

Philip Baumeister, "Transmissive spectral slope of a bandpass for WDM," post-deadline paper TuB8 presented at the Topical Meeting on Optical Interference Coatings under the auspices of the Optical Society of America, July 17, 2001.

George Matthaei, Leo Young, E. M. T. Jones, Microwave filters, impedance matching networks, and coupling structures (McGraw-Hill, New York, 1964) �6.03.

A. J. Thelen, "Equivalent layers in multilayer filters," J. Opt. Soc. Am. 56, 1533-1538 (1966).
[CrossRef]

A. J. Thelen, Design of optical interference coatings (McGraw-Hill, New York, 1989).

H. A. Macleod, Thin film optical filters (Macmillan, New York, 1986).
[CrossRef]

Sh. A. Furman, A. V. Tikhonravov, Optics of Multilayer Systems (�ditions Fronti�res, Gif-sur-Yvette, France 1992).

Philip Baumeister, "Bandpass filters for wavelength division multiplexing-modification of the spectral bandwidth," Appl. Opt. 37, 6609-6614 (1998).
[CrossRef]

TFCalc, An optical coating design code marketed by Software Spectra, Portland, Oregon, USA.

Florin Abel�s, "Remarque sur l'influence de la dispersion dans les syst�m de couches minces di�lectriques," J. Phys. Radium 1 9, 327-334 (1958).
[CrossRef]

Francis Jenkins, Philip Baumeister, "Dispersion of the phase change for dielectric multilayers-application to the interference filter," J. Opt. Soc. Am. 47, 57-61 (1957).
[CrossRef]

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1.
Fig. 1.

Versus optical thickness in waves, refractive index (on log scale) of a starting design for a prototype bandpass. The antireflection layers are arrowed.

Fig. 2.
Fig. 2.

Versus normalized frequency, transmittance of the prototype bandpass whose design appears in Fig. 1. At a frequency of 2.0, each layer is a halfwave in optical thickness.

Fig. 3.
Fig. 3.

Versus normalized frequency, transmittance of design air A B C D E F G H J K L K J H G F E D C B A air, where the refractive indices of A, B, C, D, E, F, G, H, J, K and L are 0.05775, 32.935, 0.02422, 41.093, 0.02223, 42.815, 0.02174, 43.375, 0.02157, 43.568 and 0.02153, respectively. At a frequency of 2.0, each layer is a halfwave in optical thickness.

Fig. 4.
Fig. 4.

Versus optical thickness in waves, refractive index (on log scale) of an optimized design for a prototype bandpass. Its design is captioned in Fig. 3.

Fig. 5.
Fig. 5.

Transmittance of the coating described in the section “Twenty-one cavity bandpass design.” The scale of the ordinate changes from linear to log at 0.9.

Equations (9)

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

V = 1 + R 1 R
f 1 = 1 + 2 π arcsin ( V 1 V + 1 )
BW = ( 2 f 1 ) = 1 2 π arcsin ( V 1 V + 1 ) .
V = 1 + cos ( π 2 BW ) 1 cos ( π 2 BW ) .
V = 17.3 = n E 2 n L 7 n H 6 ( 1.00 3 ) 1 .
V = 570 = n E 2 n L 18 n H 20 .
d δ d σ π λ 0 n 0 n H n L
Δ σ = F ( R ) ( π λ 0 d δ / ) 1
Δσ = F ( R ) ( π λ 0 ) 1 [ 1 + n L / ( n H n L ) 1 .

Metrics