Method of forming planar optical waveguides
First Claim
1. A method of forming a planar optical waveguide for light propagation comprising the steps of:
- providing a substantially flat glass substrate having a predetermined desired index of refraction,applying a first coating of glass having an index of refraction greater than that of said glass substrate to at least a portion of one flat surface of said substrate to thereby form a film thereon, said first coating of glass having an outer exposed surface substantially parallel to said one flat surface of said substrate, the thickness of said first coating being defined by said surfaces, the width of said first coating being the dimension perpendicular to both said thickness and the light propagation axis of said first coating, andapplying a second coating of glass having an index of refraction less than that of said first coating of glass over at least said outer exposed surface of said first coating of glass to thereby form a film thereon, the thickness of said first coating of glass for any desired finite width thereof being equal to or less than the thickness a of a coating having an infinite width, thickness a being determined in accordance with one of the following equationsfor TMOm modes where m is an even integer ##EQU13## for TMOm modes where m is an odd integer ##EQU14## for TEOm modes where m is an even integer ##EQU15## for TEOm modes where m is an odd integer ##EQU16## where m ≦
10 and is the highest mode order to be propagated within a waveguide the first coating of which has a thickness a and an infinite width, λ
is the wavelength of light to be propagated within said waveguide the first coating of which has a thickness a and an infinite width, n2 is the index of refraction of said first coating, and one of n1 and n3 being the index of refraction of said substrate while the other of n1 and n3 being the index of refraction of said second coating of glass, said thickness of said first coating of glass being so determinable where the propagation constant of said waveguide is equal to or less than K1, where K1 is greater than K3, where
space="preserve" listing-type="equation">K.sub.1 = 2π
n.sub.1 /λ
,and
space="preserve" listing-type="equation">K.sub.3 = 2π
n.sub.3 /λ
the thickness of each said substrate and said second coating of glass being at least about two times the thickness of said first coating of glass.
0 Assignments
0 Petitions
Accused Products
Abstract
A method of producing a planar optical waveguide by applying to at least a portion of one flat surface of a substantially flat glass substrate having a predetermined desired index of refraction a first coating of glass having an index of refraction greater than that of said glass substrate. Thereafter a second coating of glass having an index of refraction less than that of the first coating of glass is applied over the exposed surface of the first coating of glass. The thickness of the first coating of glass being determined as a function of the highest mode order and the wavelength of light to be propagated within a waveguide having infinite width, and the indices of refraction of the substrate and each of the applied coatings.
78 Citations
14 Claims
-
1. A method of forming a planar optical waveguide for light propagation comprising the steps of:
-
providing a substantially flat glass substrate having a predetermined desired index of refraction, applying a first coating of glass having an index of refraction greater than that of said glass substrate to at least a portion of one flat surface of said substrate to thereby form a film thereon, said first coating of glass having an outer exposed surface substantially parallel to said one flat surface of said substrate, the thickness of said first coating being defined by said surfaces, the width of said first coating being the dimension perpendicular to both said thickness and the light propagation axis of said first coating, and applying a second coating of glass having an index of refraction less than that of said first coating of glass over at least said outer exposed surface of said first coating of glass to thereby form a film thereon, the thickness of said first coating of glass for any desired finite width thereof being equal to or less than the thickness a of a coating having an infinite width, thickness a being determined in accordance with one of the following equations for TMOm modes where m is an even integer ##EQU13## for TMOm modes where m is an odd integer ##EQU14## for TEOm modes where m is an even integer ##EQU15## for TEOm modes where m is an odd integer ##EQU16## where m ≦
10 and is the highest mode order to be propagated within a waveguide the first coating of which has a thickness a and an infinite width, λ
is the wavelength of light to be propagated within said waveguide the first coating of which has a thickness a and an infinite width, n2 is the index of refraction of said first coating, and one of n1 and n3 being the index of refraction of said substrate while the other of n1 and n3 being the index of refraction of said second coating of glass, said thickness of said first coating of glass being so determinable where the propagation constant of said waveguide is equal to or less than K1, where K1 is greater than K3, where
space="preserve" listing-type="equation">K.sub.1 = 2π
n.sub.1 /λ
,and
space="preserve" listing-type="equation">K.sub.3 = 2π
n.sub.3 /λthe thickness of each said substrate and said second coating of glass being at least about two times the thickness of said first coating of glass. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10)
-
-
11. A method of forming a planar optical waveguide for light propagation comprising the steps of:
-
providing a substantially flat glass substrate having a predetermined desired index of refraction, applying a first coating of a glass having an index of refraction greater than that of said glass substrate to at least a portion of one flat surface of said substrate to thereby form a film thereon, said first coating of glass having an outer exposed surface substantially parallel to said one flat surface of said substrate, the thickness of said first coating being defined by said surfaces, the width of said first coating being the dimension perpendicular to both said thickness and the light propagation axis of said first coating, and applying a second coating of glass having an index of refraction substantially equal to that of said substrate over at least said outer exposed surface of said first coating of glass to thereby form a film thereon, the thickness of said first coating of glass for any desired finite width thereof being equal to or less than the thickness a of a coating having infinite width, thickness a being determined in accordance with the following equation
space="preserve" listing-type="equation">2a/λ
(n.sub.2.sup.2 - n.sub.1.sup.2).sup.1/2 = m+1,where m ≦
10 and is the highest mode order to be propagated within a wave-guide the first coating of which has a thickness a and an infinite width, λ
is the wavelength of light to be propagated within said waveguide the first coating of which has a thickness a and an infinite width, n2 is the index of refraction of said first coating, and n1 is the index of refraction of said substrate and said second coating of glass, said thickness of said first coating of glass being so determinable where the propagation constant of said waveguide is equal to or less than K1, where
space="preserve" listing-type="equation">K.sub.1 = 2π
n.sub.1 /λ
,and the thickness of each said substrate and said second coating of glass being at least about two times the thickness of said first coating of glass. - View Dependent Claims (12, 13, 14)
-
Specification