Conoscopic holography. II. Rigorous derivation

Gabriel Y. Sirat

doi:10.1364/JOSAA.9.000084

Journal of the Optical Society of America A
Vol. 9,
Issue 1,
pp. 84-90
(1992)
•https://doi.org/10.1364/JOSAA.9.000084

Conoscopic holography. II. Rigorous derivation

Gabriel Y. Sirat

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
Gabriel Y. Sirat, "Conoscopic holography. II. Rigorous derivation," J. Opt. Soc. Am. A 9, 84-90 (1992)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Citation alert
Save article

Abstract

Conoscopic holography was discussed with simplifying assumptions in a companion paper [ J. Opt. Soc. Am. A. 9, 70 ( 1992)]. These assumptions are removed, and the conclusions of the simplified analysis of the companion paper are proved by more exact calculations.

Full Article | PDF Article

More Like This

Conoscopic holography. I. Basic principles and physical basis

Gabriel Y. Sirat
J. Opt. Soc. Am. A 9(1) 70-83 (1992)

Gaussian beam analysis of optical scanning holography

Bradley D. Duncan and Ting-Chung Poon
J. Opt. Soc. Am. A 9(2) 229-236 (1992)

Method for computing homogeneous liquid-crystal conoscopic figures

Alastair R. MacGregor
J. Opt. Soc. Am. A 7(3) 337-347 (1990)

Previous Article Next Article

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (2)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (3)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (56)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Series Coefficients	Δl	Δl_bir	Δl_geom + Δl_walk
a₂	$\frac{L {n_{c}}^{2}}{{z_{c}}^{2}}$	$\frac{L {n_{c}}^{2}}{{z_{e}}^{2}}$	$\frac{L {n_{c}}^{2}}{{z_{c}}^{2}} \frac{z_{e} - z_{o}}{z_{e}}$
ā₄₁	$\frac{- L (b_{41} L + c_{41} z)}{2 {n_{o}}^{5} {z_{o}}^{5}}$	$\frac{- L ({b_{41}}^{'} L + {c_{41}}^{'} z)}{2 {n_{o}}^{5} {z_{o}}^{5}}$	$\frac{- L ({b_{41}}^{″} L + {c_{41}}^{″} z)}{2 {n_{o}}^{5} {z_{o}}^{5}}$

Optical Path Length	Parameter	Value
Δl	b₄₁	2n_o³ − n_o − 1
	c₄₁	n_o³ − 2n_o³
Δl_bir	b₄₁′	2n_o³ − 2
	c₄₁′	−2n_o³
Δl_geom + Δl_walk	b₄₁″	1 − n_o
	c₄₁″	n_o

Optical Path Length	Lateral Order	Birefringence Order	Δl	Δl_bir	Δl_geom + Δl_walk	Δl_w
Accurate Numerical Values	—	—	17.1882	18.0197	−0.8314	17.1185
Δl₂	2	—	17.2659	18.1289	−0.8629
Δl₄	4	—	−0.078	−0.1098	0.0317
Δl₄₁	4	1	−0.0793	−0.1016	0.0222
Δl₄₂	4	2	0.0009	−0.0096	0.0105

Series Coefficients	Δl	Δl_bir	Δl_geom + Δl_walk
a₂	$\frac{L {n_{c}}^{2}}{{z_{c}}^{2}}$	$\frac{L {n_{c}}^{2}}{{z_{e}}^{2}}$	$\frac{L {n_{c}}^{2}}{{z_{c}}^{2}} \frac{z_{e} - z_{o}}{z_{e}}$
ā₄₁	$\frac{- L (b_{41} L + c_{41} z)}{2 {n_{o}}^{5} {z_{o}}^{5}}$	$\frac{- L ({b_{41}}^{'} L + {c_{41}}^{'} z)}{2 {n_{o}}^{5} {z_{o}}^{5}}$	$\frac{- L ({b_{41}}^{″} L + {c_{41}}^{″} z)}{2 {n_{o}}^{5} {z_{o}}^{5}}$

Optical Path Length	Parameter	Value
Δl	b₄₁	2n_o³ − n_o − 1
	c₄₁	n_o³ − 2n_o³
Δl_bir	b₄₁′	2n_o³ − 2
	c₄₁′	−2n_o³
Δl_geom + Δl_walk	b₄₁″	1 − n_o
	c₄₁″	n_o

Abstract

Cited By

Figures (2)

Tables (3)

Equations (56)

Journal of the Optical Society of America A