8
Optical Waveguide Theory
Section
1-2
STEP-PROFILE
PLANAR
WAVEGUIDES
With reference to Fig. 1-2, the step-index planar waveguide has the refractive-
index profile defined by
n(x) =
nco,
- p < x <
p;
n(x) =
nch
Ixl
>
p,
(1-2)
where
nco
and
nc!
are constants
and
nco>
nc!.
We now show
how
to construct
ray paths within the core using ray tracing
and
Snell's laws.
One
of
the most
important problems is to determine the conditions necessary for a ray to be
bound,
i.e.
the ray propagates along the nonabsorbing waveguide without loss
of
power.
1-2
Construction
of
ray paths
Propagation within the uniform core
of
the step-index waveguide
of
Fig. 1-2
is
along straight lines.
If
a ray originates
at
P
on
one interface
and
makes angle e z
with the waveguide axis, it will meet the opposite interface
at
Q as shown. The
Fig.
1-2
Propagation along a straight line between interfaces in the core
of
a step-profile planar waveguide.
situation
at
Q
is
equivalent to incidence
at
an
interface between two half-spaces
of
refractive indices
nco
and
nc!
as shown in Fig. 1-3. Reflection in this situation
is
governed by Snell's law [1,2]. While these la
ws
are usually expressed in terms
of
angles relative to the normal QN, as in Section 35-2,
we
prefer to retain the
complementary angle
e
z
•
The reason will become apparent in Chapter 2 when
classifying ray paths within optical fibers. Thus, in terms
of
complementary
angles, the incident ray
at
Q
is
totally internally reflected
if
0
~
e
z
< e
c
'
and is
partly reflected
and
partly refracted
ife
c
< e
z
~
n12,
where e
c
is
the complement
of
the critical
angle,
defined by
(1-3)
剩余740页未读，继续阅读
laodalcy
- 粉丝: 0
- 资源: 1
我的内容管理
展开
最新资源
- WebLogic集群配置与管理实战指南
- AIX5.3上安装Weblogic 9.2详细步骤
- 面向对象编程模拟试题详解与解析
- Flex+FMS2.0中文教程：开发流媒体应用的实践指南
- PID调节深入解析：从入门到精通
- 数字水印技术：保护版权的新防线
- 8位数码管显示24小时制数字电子钟程序设计
- Mhdd免费版详细使用教程：硬盘检测与坏道屏蔽
- 操作系统期末复习指南：进程、线程与系统调用详解
- Cognos8性能优化指南：软件参数与报表设计调优
- Cognos8开发入门：从Transformer到ReportStudio
- Cisco 6509交换机配置全面指南
- C#入门：XML基础教程与实例解析
- Matlab振动分析详解：从单自由度到6自由度模型
- Eclipse JDT中的ASTParser详解与核心类介绍
- Java程序员必备资源网站大全
资源上传下载、课程学习等过程中有任何疑问或建议，欢迎提出宝贵意见哦~我们会及时处理！
点击此处反馈
