Abstract

A nonabsorbing periodically stratified medium (abbreviated PSM) acts as a band-reflecting filter. Within a high-reflectance band, the reflectance tends to 100 percent in the limit as the number of periods increases indefinitely. A high-reflectance band is usually approximately centered on any wavelength such that the combined optical thickness of the layers constituting one period equals an integral number of half-waves. The integer in question is called the order of the high-reflectance band. Certain orders may be suppressed.

A heat-reflecting filter can be made up of PSM’s having some unsuppressed high-reflectance bands in the infrared and only suppressed bands in the visible. The longer the wavelengths reflected by the first order, the greater the number of orders in the visible which must be suppressed. Present heat-reflecting PSM’s have only a single order suppressed. A method is described for designing a PSM which has two successive orders suppressed.

© 1955 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. S. A. Schelkunoff, Bell System Tech. J. 17, 17 (1938).
    [Crossref]
  2. For a summary and bibliography, see L. I. Epstein, J. Opt. Soc. Am. 42, 806 (1952).
    [Crossref]
  3. F. Abelés, Ann. phys. [12] 5, 596 (1950), Eqs. (11.1) and (11.2).
  4. Rayleigh, Proc. Roy. Soc. (London) A93, 565 (1917), Eqs. (13) and (46).
  5. R. B. Muchmore, J. Opt. Soc. Am. 38, 20 (1948).
    [Crossref]
  6. P. J. Leurgans, J. Opt. Soc. Am. 39, 639A (1949).

1952 (1)

1950 (1)

F. Abelés, Ann. phys. [12] 5, 596 (1950), Eqs. (11.1) and (11.2).

1949 (1)

P. J. Leurgans, J. Opt. Soc. Am. 39, 639A (1949).

1948 (1)

1938 (1)

S. A. Schelkunoff, Bell System Tech. J. 17, 17 (1938).
[Crossref]

1917 (1)

Rayleigh, Proc. Roy. Soc. (London) A93, 565 (1917), Eqs. (13) and (46).

Abelés, F.

F. Abelés, Ann. phys. [12] 5, 596 (1950), Eqs. (11.1) and (11.2).

Epstein, L. I.

Leurgans, P. J.

P. J. Leurgans, J. Opt. Soc. Am. 39, 639A (1949).

Muchmore, R. B.

Rayleigh,

Rayleigh, Proc. Roy. Soc. (London) A93, 565 (1917), Eqs. (13) and (46).

Schelkunoff, S. A.

S. A. Schelkunoff, Bell System Tech. J. 17, 17 (1938).
[Crossref]

Ann. phys. [12] (1)

F. Abelés, Ann. phys. [12] 5, 596 (1950), Eqs. (11.1) and (11.2).

Bell System Tech. J. (1)

S. A. Schelkunoff, Bell System Tech. J. 17, 17 (1938).
[Crossref]

J. Opt. Soc. Am. (3)

Proc. Roy. Soc. (London) (1)

Rayleigh, Proc. Roy. Soc. (London) A93, 565 (1917), Eqs. (13) and (46).

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.


Tables (1)

Tables Icon

Table I Design of period for a PSM with fourth- and fifth-order high-reflectance bands suppressed.

Equations (6)

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

t = t e i τ ,
cos γ = cos τ / t .
t = 2 Y 0 Y 0 ( M 11 + Y p + 1 M 12 ) + ( M 21 + Y p + 1 M 22 ) ,
1 2 [ ( M 11 + M 22 ) + ( Y 0 M 12 + M 21 / Y 0 ) ] = ( cos τ - i sin τ ) / t .
1 2 ( M 11 + M 22 ) = cos τ / t .
cos γ cos ( Σ φ ) / t ,