Design of holographic concave gratings for Seya-Namioka monochromators

H. Noda; T. Namioka; M. Seya

doi:10.1364/JOSA.64.001043

Journal of the Optical Society of America
Vol. 64,
Issue 8,
pp. 1043-1048
(1974)
•https://doi.org/10.1364/JOSA.64.001043

Design of holographic concave gratings for Seya-Namioka monochromators

H. Noda, T. Namioka, and M. Seya

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H. Noda, T. Namioka, and M. Seya, "Design of holographic concave gratings for Seya-Namioka monochromators," J. Opt. Soc. Am. 64, 1043-1048 (1974)

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Abstract

The theory of the holographic grating is applied to the design of aberration-corrected holographic concave gratings for use with Seya–Namioka monochromators. A method of determining the proper recording parameters is described. The performance of gratings that would be produced by use of the proper recording parameters is evaluated in terms of the magnitude of the aberration terms and the degree of spread in spot diagrams. The results indicate that properly designed holographic concave gratings show much improved performance over mechanically ruled concave gratings.

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Corrections

H. Noda, T. Namioka, and M. Seya, "Errata," J. Opt. Soc. Am. 65, 474-474 (1975)
https://opg.optica.org/josa/abstract.cfm?uri=josa-65-4-474

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Minimized terms	Method used	ρ_C	ρ_D	γ	δ
${\bar{F}}_{200}, {\bar{F}}_{020}, {\bar{F}}_{300}$ (astigmatism correction)	General method	1.60487	1.09634	−58.8427°	−35.5204°
	General method	(1.44846)	(1.20102)	(−81.8773)	(−45.6604)
	Modified method	1.60515	1.09650	−58.8586	−35.5304
	Modified method	(1.44871)	(1.20050)	(−81.8667)	(−45.6583)
${\bar{F}}_{200}, {\bar{F}}_{300}, {\bar{F}}_{120}$ (coma-type aber. correction)	General method	1.05784	0.89007	−44.9849	−25.6049
	General method	(0.82657)	(0.82068)	(−63.8485)	(−38.5263)
	Modified method	1.05730	0.88958	−44.9833	−25.6036
	Modified method	(0.82624)	(0.82002)	(−63.8139)	(−38.5068)

−mλ(Å)	Grating	${\bar{F}}_{200}$ ×10⁴	${\bar{F}}_{020}$	${\bar{F}}_{300}$	${\bar{F}}_{120}$	${\bar{F}}_{400}$	${\bar{F}}_{220}$	${\bar{F}}_{040}$
0	Mech. ruled	−0.84581	0.79649	0.00169	0.00332	0.79633	1.5697	0.40989
	$Holo . {\begin{array}{l} G . M . \\ M . M . \end{array}$	−0.91488	0.79586	0.00137	0.00269	0.79568	1.5678	0.40994
	$Holo . {\begin{array}{l} G . M . \\ M . M . \end{array}$	−0.84581	0.79649	0.00169	0.00332	0.79633	1.5697	0.40989
2000	Mech. ruled	0.39868	0.80088	0.05944	−0.11333	0.76221	1.6024	0.40624
	$Holo . {\begin{array}{l} G . M . \\ M . M . \end{array}$	0.42284	0.44865	0.03081	0.45986	0.63888	−0.4975	0.84532
	$Holo . {\begin{array}{l} G . M . \\ M . M . \end{array}$	0.40600	0.44901	0.03117	0.46094	0.63947	−0.4982	0.84605
4000	Mech. ruled	−0.11384	0.81413	0.11438	−0.23097	0.66443	1.7033	0.39416
	$Holo . {\begin{array}{l} G . M . \\ M . M . \end{array}$	−0.06779	0.11029	0.05744	0.91604	0.41847	−2.4945	1.2723
	$Holo . {\begin{array}{l} G . M . \\ M . M . \end{array}$	−0.09921	0.11038	0.05783	0.91757	0.41896	−2.4979	1.2737
7000	Mech. ruled	0.99409	0.85155	0.18539	−0.41155	0.42697	1.9797	0.35922
	$Holo . {\begin{array}{l} G . M . \\ M . M . \end{array}$	0.95402	−0.38011	0.08605	1.5962	−0.00290	−5.3652	1.8959
	$Holo . {\begin{array}{l} G . M . \\ M . M . \end{array}$	1.0197	−0.38042	0.08642	1.5984	−0.00260	−5.3726	1.8985

−mλ(Å)	Grating	${\bar{F}}_{200}$ ×10⁴	${\bar{F}}_{020}$	${\bar{F}}_{300}$	${\bar{F}}_{120}$	${\bar{F}}_{400}$	${\bar{F}}_{220}$	${\bar{F}}_{040}$
0	Mech. ruled	−0.84581	0.79649	0.00169	0.00332	0.79633	1.5697	0.40989
	$Holo . {\begin{array}{l} G . M . \\ M . M . \end{array}$	−0.91488	0.79586	0.00137	0.00269	0.79568	1.5678	0.40994
	$Holo . {\begin{array}{l} G . M . \\ M . M . \end{array}$	−0.84581	0.79649	0.00169	0.00332	0.79633	1.5697	0.40989
2000	Mech. ruled	0.39868	0.80088	0.05944	−0.11333	0.76221	1.6024	0.40624
	$Holo . {\begin{array}{l} G . M . \\ M . M . \end{array}$	0.42284	0.64203	0.03081	0.00261	0.73375	1.2401	0.30470
	$Holo . {\begin{array}{l} G . M . \\ M . M . \end{array}$	0.40600	0.64268	0.03117	0.00297	0.73435	1.2422	0.30455
4000	Mech. ruled	−0.11384	0.81413	0.11438	−0.23097	0.66443	1.7033	0.39416
	$Holo . {\begin{array}{l} G . M . \\ M . M . \end{array}$	−0.06779	0.49705	0.05744	0.00153	0.60822	0.9807	0.19105
	$Holo . {\begin{array}{l} G . M . \\ M . M . \end{array}$	−0.09921	0.49774	0.05783	0.00162	0.60872	0.9829	0.19078
7000	Mech. ruled	0.99409	0.85115	0.18539	−0.41155	0.42697	1.9797	0.35922
	$Holo . {\begin{array}{l} G . M . \\ M . M . \end{array}$	0.95402	0.29673	0.08605	−0.00420	0.32916	0.7164	0.00380
	$Holo . {\begin{array}{l} G . M . \\ M . M . \end{array}$	1.0197	0.29746	0.08642	−0.00451	0.32947	0.7190	0.00331

Minimized terms	Method used	ρ_C	ρ_D	γ	δ
${\bar{F}}_{200}, {\bar{F}}_{020}, {\bar{F}}_{300}$ (astigmatism correction)	General method	1.60487	1.09634	−58.8427°	−35.5204°
	General method	(1.44846)	(1.20102)	(−81.8773)	(−45.6604)
	Modified method	1.60515	1.09650	−58.8586	−35.5304
	Modified method	(1.44871)	(1.20050)	(−81.8667)	(−45.6583)
${\bar{F}}_{200}, {\bar{F}}_{300}, {\bar{F}}_{120}$ (coma-type aber. correction)	General method	1.05784	0.89007	−44.9849	−25.6049
	General method	(0.82657)	(0.82068)	(−63.8485)	(−38.5263)
	Modified method	1.05730	0.88958	−44.9833	−25.6036
	Modified method	(0.82624)	(0.82002)	(−63.8139)	(−38.5068)

−mλ(Å)	Grating	${\bar{F}}_{200}$ ×10⁴	${\bar{F}}_{020}$	${\bar{F}}_{300}$	${\bar{F}}_{120}$	${\bar{F}}_{400}$	${\bar{F}}_{220}$	${\bar{F}}_{040}$
0	Mech. ruled	−0.84581	0.79649	0.00169	0.00332	0.79633	1.5697	0.40989
	$Holo . {\begin{array}{l} G . M . \\ M . M . \end{array}$	−0.91488	0.79586	0.00137	0.00269	0.79568	1.5678	0.40994
	$Holo . {\begin{array}{l} G . M . \\ M . M . \end{array}$	−0.84581	0.79649	0.00169	0.00332	0.79633	1.5697	0.40989
2000	Mech. ruled	0.39868	0.80088	0.05944	−0.11333	0.76221	1.6024	0.40624
	$Holo . {\begin{array}{l} G . M . \\ M . M . \end{array}$	0.42284	0.44865	0.03081	0.45986	0.63888	−0.4975	0.84532
	$Holo . {\begin{array}{l} G . M . \\ M . M . \end{array}$	0.40600	0.44901	0.03117	0.46094	0.63947	−0.4982	0.84605
4000	Mech. ruled	−0.11384	0.81413	0.11438	−0.23097	0.66443	1.7033	0.39416
	$Holo . {\begin{array}{l} G . M . \\ M . M . \end{array}$	−0.06779	0.11029	0.05744	0.91604	0.41847	−2.4945	1.2723
	$Holo . {\begin{array}{l} G . M . \\ M . M . \end{array}$	−0.09921	0.11038	0.05783	0.91757	0.41896	−2.4979	1.2737
7000	Mech. ruled	0.99409	0.85155	0.18539	−0.41155	0.42697	1.9797	0.35922
	$Holo . {\begin{array}{l} G . M . \\ M . M . \end{array}$	0.95402	−0.38011	0.08605	1.5962	−0.00290	−5.3652	1.8959
	$Holo . {\begin{array}{l} G . M . \\ M . M . \end{array}$	1.0197	−0.38042	0.08642	1.5984	−0.00260	−5.3726	1.8985

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Equations (31)

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