Abstract

What we believe to be a new method for designing multilayer diffractive optical elements (MLDOEs) for wideband with consideration of polychromatic integral diffraction efficiency (PIDE) is presented. The benefit of this method is that the maximum PIDE over the entire waveband for MLDOEs can be obtained. The design process and simulation of the MLDOEs with regard to an example for visible waveband are described, and the comparison of diffraction efficiencies of the MLDOEs for different choices of design wavelengths with different methods is given.

© 2010 Optical Society of America

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References

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  1. T. Nakai and H. Ogawa, in Diffractive Optics and Micro-Optics, Vol. 75 of OSA Trends in Optics and Photonics Series, R.Magnusson, ed. (Optical Society of America, 2002), paper DMA2.
  2. S. Noach, Y. Arieli, and N. Eisenberg, Opt. Lett. 24, 333 (1999).
    [CrossRef]
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    [CrossRef]
  4. D. A. Buralli and G. Michael Morris, Appl. Opt. 31, 4389 (1992).
    [CrossRef] [PubMed]
  5. M. Bass and Optical Society of America., Handbook of Optics (McGraw-Hill, 1995), Vol. II.

2002

T. Nakai and H. Ogawa, in Diffractive Optics and Micro-Optics, Vol. 75 of OSA Trends in Optics and Photonics Series, R.Magnusson, ed. (Optical Society of America, 2002), paper DMA2.

1999

1998

1995

M. Bass and Optical Society of America., Handbook of Optics (McGraw-Hill, 1995), Vol. II.

1992

Arieli, Y.

Bass, M.

M. Bass and Optical Society of America., Handbook of Optics (McGraw-Hill, 1995), Vol. II.

Buralli, D. A.

Eisenberg, N.

Michael Morris, G.

Nakai, T.

T. Nakai and H. Ogawa, in Diffractive Optics and Micro-Optics, Vol. 75 of OSA Trends in Optics and Photonics Series, R.Magnusson, ed. (Optical Society of America, 2002), paper DMA2.

Noach, S.

Ogawa, H.

T. Nakai and H. Ogawa, in Diffractive Optics and Micro-Optics, Vol. 75 of OSA Trends in Optics and Photonics Series, R.Magnusson, ed. (Optical Society of America, 2002), paper DMA2.

Ozeri, S.

Appl. Opt.

Opt. Lett.

Other

T. Nakai and H. Ogawa, in Diffractive Optics and Micro-Optics, Vol. 75 of OSA Trends in Optics and Photonics Series, R.Magnusson, ed. (Optical Society of America, 2002), paper DMA2.

M. Bass and Optical Society of America., Handbook of Optics (McGraw-Hill, 1995), Vol. II.

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Figures (6)

Fig. 1
Fig. 1

Structure of MLDOE.

Fig. 2
Fig. 2

Refractive indices of PMMA and PC versus wavelength.

Fig. 3
Fig. 3

Heights of the (a) first and (b) second HDEs with different design wavelength pairs.

Fig. 4
Fig. 4

PIDE with different design wavelength pairs.

Fig. 5
Fig. 5

Maximum PIDE versus the first design wavelength when the second design wavelength changed from 400 to 700 nm.

Fig. 6
Fig. 6

Diffraction efficiency of MLDOE with different design wavelength pairs.

Tables (1)

Tables Icon

Table 1 PIDE of MLDOEs and Absolute Surface Relief Heights of the Two HDEs with Different Design Wavelength Pairs

Equations (7)

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ϕ ( λ i ) = k i [ n 1 ( λ i ) 1 ] H 1 + k i [ n 2 ( λ i ) 1 ] H 2 = 2 π m ,
k 1 ( ( n 1 ( λ 1 ) 1 ) H 1 + ( n 2 ( λ 1 ) 1 ) H 2 ) = m 2 π ,
k 2 ( ( n 1 ( λ 2 ) 1 ) H 1 + ( n 2 ( λ 2 ) 1 ) H 2 ) = m 2 π .
H 1 = m λ 1 ( n 2 ( λ 2 ) 1 ) m λ 2 ( n 2 ( λ 1 ) 1 ) ( n 1 ( λ 1 ) 1 ) ( n 2 ( λ 2 ) 1 ) ( n 1 ( λ 2 ) 1 ) ( n 2 ( λ 1 ) 1 ) ,
H 2 = m λ 1 ( n 1 ( λ 2 ) 1 ) m λ 2 ( n 1 ( λ 1 ) 1 ) ( n 1 ( λ 1 ) 1 ) ( n 2 ( λ 2 ) 1 ) ( n 1 ( λ 2 ) 1 ) ( n 2 ( λ 1 ) 1 ) .
η m ( λ ) = sin   c 2 ( m ϕ ( λ ) 2 π ) ,
η ¯ m   int ( λ 1 , λ 2 ) = 1 λ max λ min λ min λ max sin   c 2 ( m ϕ ( λ ) 2 π ) d λ .

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